TSTP Solution File: SEU151+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU151+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 12:38:48 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 25 unt; 0 def)
% Number of atoms : 173 ( 125 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 184 ( 83 ~; 80 |; 13 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 93 ( 4 sgn 38 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_tarski,axiom,
! [A,B,C] :
( C = unordered_pair(A,B)
<=> ! [D] :
( in(D,C)
<=> ( D = A
| D = B ) ) ) ).
fof(t10_zfmisc_1,conjecture,
! [A,B,C,D] :
~ ( unordered_pair(A,B) = unordered_pair(C,D)
& A != C
& A != D ) ).
fof(subgoal_0,plain,
! [A,B,C,D] :
( ( unordered_pair(A,B) = unordered_pair(C,D)
& A != C )
=> A = D ),
inference(strip,[],[t10_zfmisc_1]) ).
fof(negate_0_0,plain,
~ ! [A,B,C,D] :
( ( unordered_pair(A,B) = unordered_pair(C,D)
& A != C )
=> A = D ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B,C] :
( C != unordered_pair(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( D = A
| D = B ) ) ),
inference(canonicalize,[],[d2_tarski]) ).
fof(normalize_0_1,plain,
! [A,B,C] :
( C != unordered_pair(A,B)
<=> ? [D] :
( ~ in(D,C)
<=> ( D = A
| D = B ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,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_1]) ).
fof(normalize_0_3,plain,
! [A,B,C,D] :
( C != unordered_pair(A,B)
| D != A
| in(D,C) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C,D] :
( C != unordered_pair(A,B)
| ~ in(D,C)
| D = A
| D = B ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
? [A,B,C,D] :
( A != C
& A != D
& unordered_pair(A,B) = unordered_pair(C,D) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_6,plain,
( skolemFOFtoCNF_A != skolemFOFtoCNF_C
& skolemFOFtoCNF_A != skolemFOFtoCNF_D_1
& unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B) = unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) ),
inference(skolemize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B) = unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
skolemFOFtoCNF_A != skolemFOFtoCNF_C,
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_9,plain,
! [A,B,C,D] :
( C != unordered_pair(A,B)
| D != B
| in(D,C) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_10,plain,
skolemFOFtoCNF_A != skolemFOFtoCNF_D_1,
inference(conjunct,[],[normalize_0_6]) ).
cnf(refute_0_0,plain,
( C != unordered_pair(A,B)
| D != A
| in(D,C) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( A != A
| unordered_pair(A,B) != unordered_pair(A,B)
| in(A,unordered_pair(A,B)) ),
inference(subst,[],[refute_0_0:[bind(C,$fot(unordered_pair(A,B))),bind(D,$fot(A))]]) ).
cnf(refute_0_2,plain,
A = A,
introduced(tautology,[refl,[$fot(A)]]) ).
cnf(refute_0_3,plain,
( unordered_pair(A,B) != unordered_pair(A,B)
| in(A,unordered_pair(A,B)) ),
inference(resolve,[$cnf( $equal(A,A) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
unordered_pair(A,B) = unordered_pair(A,B),
introduced(tautology,[refl,[$fot(unordered_pair(A,B))]]) ).
cnf(refute_0_5,plain,
in(A,unordered_pair(A,B)),
inference(resolve,[$cnf( $equal(unordered_pair(A,B),unordered_pair(A,B)) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
in(skolemFOFtoCNF_A,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B))]]) ).
cnf(refute_0_7,plain,
( C != unordered_pair(A,B)
| ~ in(D,C)
| D = A
| D = B ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_8,plain,
( unordered_pair(A,B) != unordered_pair(A,B)
| ~ in(D,unordered_pair(A,B))
| D = A
| D = B ),
inference(subst,[],[refute_0_7:[bind(C,$fot(unordered_pair(A,B)))]]) ).
cnf(refute_0_9,plain,
( ~ in(D,unordered_pair(A,B))
| D = A
| D = B ),
inference(resolve,[$cnf( $equal(unordered_pair(A,B),unordered_pair(A,B)) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ in(X_11,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| X_11 = skolemFOFtoCNF_C
| X_11 = skolemFOFtoCNF_D_1 ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_C)),bind(B,$fot(skolemFOFtoCNF_D_1)),bind(D,$fot(X_11))]]) ).
cnf(refute_0_11,plain,
unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B) = unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_12,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_13,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_14,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B) != unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)
| unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) = unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))),bind(Y,$fot(unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)))]]) ).
cnf(refute_0_16,plain,
unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) = unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B),
inference(resolve,[$cnf( $equal(unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B),unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_11,refute_0_15]) ).
cnf(refute_0_17,plain,
( unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) != unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| ~ in(X_11,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| in(X_11,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
introduced(tautology,[equality,[$cnf( ~ in(X_11,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),[1],$fot(unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_18,plain,
( ~ in(X_11,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| in(X_11,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),
inference(resolve,[$cnf( $equal(unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ in(X_11,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| X_11 = skolemFOFtoCNF_C
| X_11 = skolemFOFtoCNF_D_1 ),
inference(resolve,[$cnf( in(X_11,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_18,refute_0_10]) ).
cnf(refute_0_20,plain,
in(skolemFOFtoCNF_C,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(subst,[],[refute_0_5:[bind(A,$fot(skolemFOFtoCNF_C)),bind(B,$fot(skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_21,plain,
( unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) != unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| ~ in(skolemFOFtoCNF_C,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| in(skolemFOFtoCNF_C,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_C,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),[1],$fot(unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_22,plain,
( ~ in(skolemFOFtoCNF_C,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| in(skolemFOFtoCNF_C,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_16,refute_0_21]) ).
cnf(refute_0_23,plain,
in(skolemFOFtoCNF_C,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ in(skolemFOFtoCNF_C,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| skolemFOFtoCNF_C = skolemFOFtoCNF_A
| skolemFOFtoCNF_C = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B)),bind(D,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_25,plain,
( skolemFOFtoCNF_C = skolemFOFtoCNF_A
| skolemFOFtoCNF_C = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
skolemFOFtoCNF_A != skolemFOFtoCNF_C,
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_27,plain,
( skolemFOFtoCNF_C != skolemFOFtoCNF_A
| skolemFOFtoCNF_A = skolemFOFtoCNF_C ),
inference(subst,[],[refute_0_14:[bind(X,$fot(skolemFOFtoCNF_C)),bind(Y,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_28,plain,
skolemFOFtoCNF_C != skolemFOFtoCNF_A,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_A,skolemFOFtoCNF_C) )],[refute_0_27,refute_0_26]) ).
cnf(refute_0_29,plain,
skolemFOFtoCNF_C = skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C,skolemFOFtoCNF_A) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
( X_11 != skolemFOFtoCNF_C
| skolemFOFtoCNF_C != skolemFOFtoCNF_B
| X_11 = skolemFOFtoCNF_B ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_11,skolemFOFtoCNF_B) ),[0],$fot(skolemFOFtoCNF_C)]]) ).
cnf(refute_0_31,plain,
( X_11 != skolemFOFtoCNF_C
| X_11 = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C,skolemFOFtoCNF_B) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ in(X_11,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| X_11 = skolemFOFtoCNF_B
| X_11 = skolemFOFtoCNF_D_1 ),
inference(resolve,[$cnf( $equal(X_11,skolemFOFtoCNF_C) )],[refute_0_19,refute_0_31]) ).
cnf(refute_0_33,plain,
( C != unordered_pair(A,B)
| D != B
| in(D,C) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_34,plain,
( B != B
| unordered_pair(A,B) != unordered_pair(A,B)
| in(B,unordered_pair(A,B)) ),
inference(subst,[],[refute_0_33:[bind(C,$fot(unordered_pair(A,B))),bind(D,$fot(B))]]) ).
cnf(refute_0_35,plain,
B = B,
introduced(tautology,[refl,[$fot(B)]]) ).
cnf(refute_0_36,plain,
( unordered_pair(A,B) != unordered_pair(A,B)
| in(B,unordered_pair(A,B)) ),
inference(resolve,[$cnf( $equal(B,B) )],[refute_0_35,refute_0_34]) ).
cnf(refute_0_37,plain,
in(B,unordered_pair(A,B)),
inference(resolve,[$cnf( $equal(unordered_pair(A,B),unordered_pair(A,B)) )],[refute_0_4,refute_0_36]) ).
cnf(refute_0_38,plain,
in(skolemFOFtoCNF_D_1,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)),
inference(subst,[],[refute_0_37:[bind(A,$fot(skolemFOFtoCNF_C)),bind(B,$fot(skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_39,plain,
( unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1) != unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)
| ~ in(skolemFOFtoCNF_D_1,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| in(skolemFOFtoCNF_D_1,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_D_1,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) ),[1],$fot(unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))]]) ).
cnf(refute_0_40,plain,
( ~ in(skolemFOFtoCNF_D_1,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1))
| in(skolemFOFtoCNF_D_1,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) ),
inference(resolve,[$cnf( $equal(unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1),unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_16,refute_0_39]) ).
cnf(refute_0_41,plain,
in(skolemFOFtoCNF_D_1,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_D_1,unordered_pair(skolemFOFtoCNF_C,skolemFOFtoCNF_D_1)) )],[refute_0_38,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ in(skolemFOFtoCNF_D_1,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| skolemFOFtoCNF_D_1 = skolemFOFtoCNF_A
| skolemFOFtoCNF_D_1 = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_9:[bind(A,$fot(skolemFOFtoCNF_A)),bind(B,$fot(skolemFOFtoCNF_B)),bind(D,$fot(skolemFOFtoCNF_D_1))]]) ).
cnf(refute_0_43,plain,
( skolemFOFtoCNF_D_1 = skolemFOFtoCNF_A
| skolemFOFtoCNF_D_1 = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_D_1,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
skolemFOFtoCNF_A != skolemFOFtoCNF_D_1,
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_45,plain,
( skolemFOFtoCNF_D_1 != skolemFOFtoCNF_A
| skolemFOFtoCNF_A = skolemFOFtoCNF_D_1 ),
inference(subst,[],[refute_0_14:[bind(X,$fot(skolemFOFtoCNF_D_1)),bind(Y,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_46,plain,
skolemFOFtoCNF_D_1 != skolemFOFtoCNF_A,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_A,skolemFOFtoCNF_D_1) )],[refute_0_45,refute_0_44]) ).
cnf(refute_0_47,plain,
skolemFOFtoCNF_D_1 = skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D_1,skolemFOFtoCNF_A) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
( X_11 != skolemFOFtoCNF_D_1
| skolemFOFtoCNF_D_1 != skolemFOFtoCNF_B
| X_11 = skolemFOFtoCNF_B ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_11,skolemFOFtoCNF_B) ),[0],$fot(skolemFOFtoCNF_D_1)]]) ).
cnf(refute_0_49,plain,
( X_11 != skolemFOFtoCNF_D_1
| X_11 = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D_1,skolemFOFtoCNF_B) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ in(X_11,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| X_11 = skolemFOFtoCNF_B ),
inference(resolve,[$cnf( $equal(X_11,skolemFOFtoCNF_D_1) )],[refute_0_32,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ in(skolemFOFtoCNF_A,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B))
| skolemFOFtoCNF_A = skolemFOFtoCNF_B ),
inference(subst,[],[refute_0_50:[bind(X_11,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_52,plain,
skolemFOFtoCNF_A = skolemFOFtoCNF_B,
inference(resolve,[$cnf( in(skolemFOFtoCNF_A,unordered_pair(skolemFOFtoCNF_A,skolemFOFtoCNF_B)) )],[refute_0_6,refute_0_51]) ).
cnf(refute_0_53,plain,
( skolemFOFtoCNF_A != skolemFOFtoCNF_B
| skolemFOFtoCNF_C != skolemFOFtoCNF_B
| skolemFOFtoCNF_A = skolemFOFtoCNF_C ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_A,skolemFOFtoCNF_C) ),[1],$fot(skolemFOFtoCNF_B)]]) ).
cnf(refute_0_54,plain,
( skolemFOFtoCNF_A != skolemFOFtoCNF_B
| skolemFOFtoCNF_A = skolemFOFtoCNF_C ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C,skolemFOFtoCNF_B) )],[refute_0_29,refute_0_53]) ).
cnf(refute_0_55,plain,
skolemFOFtoCNF_A != skolemFOFtoCNF_B,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_A,skolemFOFtoCNF_C) )],[refute_0_54,refute_0_26]) ).
cnf(refute_0_56,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_A,skolemFOFtoCNF_B) )],[refute_0_52,refute_0_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU151+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 23:27:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------