TSTP Solution File: SET918+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET918+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 03:38:20 EDT 2022
% Result : Theorem 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 28 unt; 0 def)
% Number of atoms : 198 ( 109 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 217 ( 90 ~; 83 |; 24 &)
% ( 18 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 126 ( 5 sgn 64 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(commutativity_k3_xboole_0,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A) ).
fof(d1_tarski,axiom,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ) ).
fof(d2_tarski,axiom,
! [A,B,C] :
( C = unordered_pair(A,B)
<=> ! [D] :
( in(D,C)
<=> ( D = A
| D = B ) ) ) ).
fof(d3_xboole_0,axiom,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ) ).
fof(t59_zfmisc_1,conjecture,
! [A,B,C] :
~ ( set_intersection2(unordered_pair(A,B),C) = singleton(A)
& in(B,C)
& A != B ) ).
fof(subgoal_0,plain,
! [A,B,C] :
( ( set_intersection2(unordered_pair(A,B),C) = singleton(A)
& in(B,C) )
=> A = B ),
inference(strip,[],[t59_zfmisc_1]) ).
fof(negate_0_0,plain,
~ ! [A,B,C] :
( ( set_intersection2(unordered_pair(A,B),C) = singleton(A)
& in(B,C) )
=> A = B ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] :
( B != singleton(A)
<=> ? [C] :
( C != A
<=> in(C,B) ) ),
inference(canonicalize,[],[d1_tarski]) ).
fof(normalize_0_1,plain,
! [A,B] :
( B != singleton(A)
<=> ? [C] :
( C != A
<=> in(C,B) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B,C] :
( ( B != singleton(A)
| C != A
| in(C,B) )
& ( B != singleton(A)
| ~ in(C,B)
| C = A )
& ( skolemFOFtoCNF_C(A,B) != A
| ~ in(skolemFOFtoCNF_C(A,B),B)
| B = singleton(A) )
& ( B = singleton(A)
| skolemFOFtoCNF_C(A,B) = A
| in(skolemFOFtoCNF_C(A,B),B) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] :
( B != singleton(A)
| ~ in(C,B)
| C = A ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] :
( C != unordered_pair(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( D = A
| D = B ) ) ),
inference(canonicalize,[],[d2_tarski]) ).
fof(normalize_0_5,plain,
! [A,B,C] :
( C != unordered_pair(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( D = A
| D = B ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A,B,C,D] :
( ( C != unordered_pair(A,B)
| D != A
| in(D,C) )
& ( C != unordered_pair(A,B)
| D != B
| in(D,C) )
& ( skolemFOFtoCNF_D(A,B,C) != A
| ~ in(skolemFOFtoCNF_D(A,B,C),C)
| C = unordered_pair(A,B) )
& ( skolemFOFtoCNF_D(A,B,C) != B
| ~ in(skolemFOFtoCNF_D(A,B,C),C)
| C = unordered_pair(A,B) )
& ( C != unordered_pair(A,B)
| ~ in(D,C)
| D = A
| D = B )
& ( C = unordered_pair(A,B)
| skolemFOFtoCNF_D(A,B,C) = A
| skolemFOFtoCNF_D(A,B,C) = B
| in(skolemFOFtoCNF_D(A,B,C),C) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D] :
( C != unordered_pair(A,B)
| D != B
| in(D,C) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
? [A,B,C] :
( A != B
& set_intersection2(unordered_pair(A,B),C) = singleton(A)
& in(B,C) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_9,plain,
( skolemFOFtoCNF_A_2 != skolemFOFtoCNF_B
& set_intersection2(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) = singleton(skolemFOFtoCNF_A_2)
& in(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1) ),
inference(skolemize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
in(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C] :
( C != set_intersection2(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
inference(canonicalize,[],[d3_xboole_0]) ).
fof(normalize_0_12,plain,
! [A,B,C] :
( C != set_intersection2(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C,D] :
( ( C != set_intersection2(A,B)
| ~ in(D,C)
| in(D,A) )
& ( C != set_intersection2(A,B)
| ~ in(D,C)
| in(D,B) )
& ( C = set_intersection2(A,B)
| in(skolemFOFtoCNF_D_1(A,B,C),A)
| in(skolemFOFtoCNF_D_1(A,B,C),C) )
& ( C = set_intersection2(A,B)
| in(skolemFOFtoCNF_D_1(A,B,C),B)
| in(skolemFOFtoCNF_D_1(A,B,C),C) )
& ( C != set_intersection2(A,B)
| ~ in(D,A)
| ~ in(D,B)
| in(D,C) )
& ( ~ in(skolemFOFtoCNF_D_1(A,B,C),A)
| ~ in(skolemFOFtoCNF_D_1(A,B,C),B)
| ~ in(skolemFOFtoCNF_D_1(A,B,C),C)
| C = set_intersection2(A,B) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [A,B,C,D] :
( C != set_intersection2(A,B)
| ~ in(D,A)
| ~ in(D,B)
| in(D,C) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[commutativity_k3_xboole_0]) ).
fof(normalize_0_16,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
set_intersection2(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) = singleton(skolemFOFtoCNF_A_2),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_18,plain,
skolemFOFtoCNF_A_2 != skolemFOFtoCNF_B,
inference(conjunct,[],[normalize_0_9]) ).
cnf(refute_0_0,plain,
( B != singleton(A)
| ~ in(C,B)
| C = A ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( singleton(A) != singleton(A)
| ~ in(C,singleton(A))
| C = A ),
inference(subst,[],[refute_0_0:[bind(B,$fot(singleton(A)))]]) ).
cnf(refute_0_2,plain,
singleton(A) = singleton(A),
introduced(tautology,[refl,[$fot(singleton(A))]]) ).
cnf(refute_0_3,plain,
( ~ in(C,singleton(A))
| C = A ),
inference(resolve,[$cnf( $equal(singleton(A),singleton(A)) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( ~ in(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_A_2))
| skolemFOFtoCNF_B = skolemFOFtoCNF_A_2 ),
inference(subst,[],[refute_0_3:[bind(A,$fot(skolemFOFtoCNF_A_2)),bind(C,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_5,plain,
( C != unordered_pair(A,B)
| D != B
| in(D,C) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
( B != B
| unordered_pair(A,B) != unordered_pair(A,B)
| in(B,unordered_pair(A,B)) ),
inference(subst,[],[refute_0_5:[bind(C,$fot(unordered_pair(A,B))),bind(D,$fot(B))]]) ).
cnf(refute_0_7,plain,
B = B,
introduced(tautology,[refl,[$fot(B)]]) ).
cnf(refute_0_8,plain,
( unordered_pair(A,B) != unordered_pair(A,B)
| in(B,unordered_pair(A,B)) ),
inference(resolve,[$cnf( $equal(B,B) )],[refute_0_7,refute_0_6]) ).
cnf(refute_0_9,plain,
unordered_pair(A,B) = unordered_pair(A,B),
introduced(tautology,[refl,[$fot(unordered_pair(A,B))]]) ).
cnf(refute_0_10,plain,
in(B,unordered_pair(A,B)),
inference(resolve,[$cnf( $equal(unordered_pair(A,B),unordered_pair(A,B)) )],[refute_0_9,refute_0_8]) ).
cnf(refute_0_11,plain,
in(skolemFOFtoCNF_B,unordered_pair(A,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_10:[bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_12,plain,
in(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_13,plain,
( C != set_intersection2(A,B)
| ~ in(D,A)
| ~ in(D,B)
| in(D,C) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_14,plain,
( set_intersection2(A,B) != set_intersection2(A,B)
| ~ in(D,A)
| ~ in(D,B)
| in(D,set_intersection2(A,B)) ),
inference(subst,[],[refute_0_13:[bind(C,$fot(set_intersection2(A,B)))]]) ).
cnf(refute_0_15,plain,
set_intersection2(A,B) = set_intersection2(A,B),
introduced(tautology,[refl,[$fot(set_intersection2(A,B))]]) ).
cnf(refute_0_16,plain,
( ~ in(D,A)
| ~ in(D,B)
| in(D,set_intersection2(A,B)) ),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(A,B)) )],[refute_0_15,refute_0_14]) ).
cnf(refute_0_17,plain,
( ~ in(skolemFOFtoCNF_B,X_62)
| ~ in(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1)
| in(skolemFOFtoCNF_B,set_intersection2(X_62,skolemFOFtoCNF_C_1)) ),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_62)),bind(B,$fot(skolemFOFtoCNF_C_1)),bind(D,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_18,plain,
( ~ in(skolemFOFtoCNF_B,X_62)
| in(skolemFOFtoCNF_B,set_intersection2(X_62,skolemFOFtoCNF_C_1)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_B,skolemFOFtoCNF_C_1) )],[refute_0_12,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ in(skolemFOFtoCNF_B,unordered_pair(A,skolemFOFtoCNF_B))
| in(skolemFOFtoCNF_B,set_intersection2(unordered_pair(A,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1)) ),
inference(subst,[],[refute_0_18:[bind(X_62,$fot(unordered_pair(A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_20,plain,
in(skolemFOFtoCNF_B,set_intersection2(unordered_pair(A,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_B,unordered_pair(A,skolemFOFtoCNF_B)) )],[refute_0_11,refute_0_19]) ).
cnf(refute_0_21,plain,
set_intersection2(A,B) = set_intersection2(B,A),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_22,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_23,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_24,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( set_intersection2(A,B) != set_intersection2(B,A)
| set_intersection2(B,A) = set_intersection2(A,B) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(set_intersection2(A,B))),bind(Y,$fot(set_intersection2(B,A)))]]) ).
cnf(refute_0_26,plain,
set_intersection2(B,A) = set_intersection2(A,B),
inference(resolve,[$cnf( $equal(set_intersection2(A,B),set_intersection2(B,A)) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
set_intersection2(unordered_pair(A,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) = set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(A,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(unordered_pair(A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_28,plain,
( set_intersection2(unordered_pair(A,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) != set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(A,skolemFOFtoCNF_B))
| ~ in(skolemFOFtoCNF_B,set_intersection2(unordered_pair(A,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1))
| in(skolemFOFtoCNF_B,set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(A,skolemFOFtoCNF_B))) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_B,set_intersection2(unordered_pair(A,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1)) ),[1],$fot(set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(A,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_29,plain,
( ~ in(skolemFOFtoCNF_B,set_intersection2(unordered_pair(A,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1))
| in(skolemFOFtoCNF_B,set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(A,skolemFOFtoCNF_B))) ),
inference(resolve,[$cnf( $equal(set_intersection2(unordered_pair(A,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(A,skolemFOFtoCNF_B))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
in(skolemFOFtoCNF_B,set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(A,skolemFOFtoCNF_B))),
inference(resolve,[$cnf( in(skolemFOFtoCNF_B,set_intersection2(unordered_pair(A,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1)) )],[refute_0_20,refute_0_29]) ).
cnf(refute_0_31,plain,
in(skolemFOFtoCNF_B,set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_32,plain,
set_intersection2(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) = singleton(skolemFOFtoCNF_A_2),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_33,plain,
set_intersection2(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) = set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_C_1)),bind(B,$fot(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_34,plain,
( set_intersection2(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) != set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))
| set_intersection2(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) != singleton(skolemFOFtoCNF_A_2)
| set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) = singleton(skolemFOFtoCNF_A_2) ),
introduced(tautology,[equality,[$cnf( $equal(set_intersection2(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1),singleton(skolemFOFtoCNF_A_2)) ),[0],$fot(set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)))]]) ).
cnf(refute_0_35,plain,
( set_intersection2(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1) != singleton(skolemFOFtoCNF_A_2)
| set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) = singleton(skolemFOFtoCNF_A_2) ),
inference(resolve,[$cnf( $equal(set_intersection2(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1),set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) = singleton(skolemFOFtoCNF_A_2),
inference(resolve,[$cnf( $equal(set_intersection2(unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B),skolemFOFtoCNF_C_1),singleton(skolemFOFtoCNF_A_2)) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)) != singleton(skolemFOFtoCNF_A_2)
| ~ in(skolemFOFtoCNF_B,set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)))
| in(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_A_2)) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_B,set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))) ),[1],$fot(singleton(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_38,plain,
( ~ in(skolemFOFtoCNF_B,set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)))
| in(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_A_2)) ),
inference(resolve,[$cnf( $equal(set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B)),singleton(skolemFOFtoCNF_A_2)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
in(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_A_2)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_B,set_intersection2(skolemFOFtoCNF_C_1,unordered_pair(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B))) )],[refute_0_31,refute_0_38]) ).
cnf(refute_0_40,plain,
skolemFOFtoCNF_B = skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( in(skolemFOFtoCNF_B,singleton(skolemFOFtoCNF_A_2)) )],[refute_0_39,refute_0_4]) ).
cnf(refute_0_41,plain,
skolemFOFtoCNF_A_2 != skolemFOFtoCNF_B,
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_42,plain,
( skolemFOFtoCNF_B != skolemFOFtoCNF_A_2
| skolemFOFtoCNF_A_2 = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_24:[bind(X,$fot(skolemFOFtoCNF_B)),bind(Y,$fot(skolemFOFtoCNF_A_2))]]) ).
cnf(refute_0_43,plain,
skolemFOFtoCNF_B != skolemFOFtoCNF_A_2,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_A_2,skolemFOFtoCNF_B) )],[refute_0_42,refute_0_41]) ).
cnf(refute_0_44,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B,skolemFOFtoCNF_A_2) )],[refute_0_40,refute_0_43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET918+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n007.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 22:46:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.41
%------------------------------------------------------------------------------