TSTP Solution File: SEU234+3 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU234+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 12:39:35 EDT 2022
% Result : Theorem 1.11s 1.32s
% Output : CNFRefutation 1.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of formulae : 85 ( 12 unt; 0 def)
% Number of atoms : 243 ( 37 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 255 ( 97 ~; 104 |; 36 &)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 73 ( 0 sgn 47 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d2_ordinal1,axiom,
! [A] :
( epsilon_transitive(A)
<=> ! [B] :
( in(B,A)
=> subset(B,A) ) ) ).
fof(d3_ordinal1,axiom,
! [A] :
( epsilon_connected(A)
<=> ! [B,C] :
~ ( in(B,A)
& in(C,A)
& ~ in(B,C)
& B != C
& ~ in(C,B) ) ) ).
fof(d4_ordinal1,axiom,
! [A] :
( ordinal(A)
<=> ( epsilon_transitive(A)
& epsilon_connected(A) ) ) ).
fof(t24_ordinal1,axiom,
! [A] :
( ordinal(A)
=> ! [B] :
( ordinal(B)
=> ~ ( ~ in(A,B)
& A != B
& ~ in(B,A) ) ) ) ).
fof(t31_ordinal1,conjecture,
! [A] :
( ! [B] :
( in(B,A)
=> ( ordinal(B)
& subset(B,A) ) )
=> ordinal(A) ) ).
fof(subgoal_0,plain,
! [A] :
( ! [B] :
( in(B,A)
=> ( ordinal(B)
& subset(B,A) ) )
=> ordinal(A) ),
inference(strip,[],[t31_ordinal1]) ).
fof(negate_0_0,plain,
~ ! [A] :
( ! [B] :
( in(B,A)
=> ( ordinal(B)
& subset(B,A) ) )
=> ordinal(A) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A] :
( ~ epsilon_connected(A)
<=> ? [B,C] :
( B != C
& ~ in(B,C)
& ~ in(C,B)
& in(B,A)
& in(C,A) ) ),
inference(canonicalize,[],[d3_ordinal1]) ).
fof(normalize_0_1,plain,
! [A] :
( ~ epsilon_connected(A)
<=> ? [B,C] :
( B != C
& ~ in(B,C)
& ~ in(C,B)
& in(B,A)
& in(C,A) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B,C] :
( ( skolemFOFtoCNF_B_1(A) != skolemFOFtoCNF_C(A)
| epsilon_connected(A) )
& ( ~ in(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_C(A))
| epsilon_connected(A) )
& ( ~ in(skolemFOFtoCNF_C(A),skolemFOFtoCNF_B_1(A))
| epsilon_connected(A) )
& ( epsilon_connected(A)
| in(skolemFOFtoCNF_B_1(A),A) )
& ( epsilon_connected(A)
| in(skolemFOFtoCNF_C(A),A) )
& ( ~ epsilon_connected(A)
| ~ in(B,A)
| ~ in(C,A)
| B = C
| in(B,C)
| in(C,B) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A] :
( skolemFOFtoCNF_B_1(A) != skolemFOFtoCNF_C(A)
| epsilon_connected(A) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A] :
( ~ in(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_C(A))
| epsilon_connected(A) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
! [A] :
( ~ in(skolemFOFtoCNF_C(A),skolemFOFtoCNF_B_1(A))
| epsilon_connected(A) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_6,plain,
? [A] :
( ~ ordinal(A)
& ! [B] :
( ~ in(B,A)
| ( ordinal(B)
& subset(B,A) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_7,plain,
( ~ ordinal(skolemFOFtoCNF_A_13)
& ! [B] :
( ~ in(B,skolemFOFtoCNF_A_13)
| ( ordinal(B)
& subset(B,skolemFOFtoCNF_A_13) ) ) ),
inference(skolemize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [B] :
( ~ in(B,skolemFOFtoCNF_A_13)
| ( ordinal(B)
& subset(B,skolemFOFtoCNF_A_13) ) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [B] :
( ~ in(B,skolemFOFtoCNF_A_13)
| ( ordinal(B)
& subset(B,skolemFOFtoCNF_A_13) ) ),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [B] :
( ( ~ in(B,skolemFOFtoCNF_A_13)
| ordinal(B) )
& ( ~ in(B,skolemFOFtoCNF_A_13)
| subset(B,skolemFOFtoCNF_A_13) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [B] :
( ~ in(B,skolemFOFtoCNF_A_13)
| ordinal(B) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A] :
( epsilon_connected(A)
| in(skolemFOFtoCNF_C(A),A) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_13,plain,
! [A] :
( ~ epsilon_transitive(A)
<=> ? [B] :
( ~ subset(B,A)
& in(B,A) ) ),
inference(canonicalize,[],[d2_ordinal1]) ).
fof(normalize_0_14,plain,
! [A] :
( ~ epsilon_transitive(A)
<=> ? [B] :
( ~ subset(B,A)
& in(B,A) ) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B] :
( ( ~ subset(skolemFOFtoCNF_B(A),A)
| epsilon_transitive(A) )
& ( epsilon_transitive(A)
| in(skolemFOFtoCNF_B(A),A) )
& ( ~ epsilon_transitive(A)
| ~ in(B,A)
| subset(B,A) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [A] :
( ~ subset(skolemFOFtoCNF_B(A),A)
| epsilon_transitive(A) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [B] :
( ~ in(B,skolemFOFtoCNF_A_13)
| subset(B,skolemFOFtoCNF_A_13) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_18,plain,
! [A] :
( epsilon_transitive(A)
| in(skolemFOFtoCNF_B(A),A) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_19,plain,
! [A] :
( ~ ordinal(A)
<=> ( ~ epsilon_connected(A)
| ~ epsilon_transitive(A) ) ),
inference(canonicalize,[],[d4_ordinal1]) ).
fof(normalize_0_20,plain,
! [A] :
( ~ ordinal(A)
<=> ( ~ epsilon_connected(A)
| ~ epsilon_transitive(A) ) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [A] :
( ( ~ ordinal(A)
| epsilon_connected(A) )
& ( ~ ordinal(A)
| epsilon_transitive(A) )
& ( ~ epsilon_connected(A)
| ~ epsilon_transitive(A)
| ordinal(A) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [A] :
( ~ epsilon_connected(A)
| ~ epsilon_transitive(A)
| ordinal(A) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
~ ordinal(skolemFOFtoCNF_A_13),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_24,plain,
! [A] :
( epsilon_connected(A)
| in(skolemFOFtoCNF_B_1(A),A) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_25,plain,
! [A] :
( ~ ordinal(A)
| ! [B] :
( ~ ordinal(B)
| A = B
| in(A,B)
| in(B,A) ) ),
inference(canonicalize,[],[t24_ordinal1]) ).
fof(normalize_0_26,plain,
! [A] :
( ~ ordinal(A)
| ! [B] :
( ~ ordinal(B)
| A = B
| in(A,B)
| in(B,A) ) ),
inference(specialize,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [A,B] :
( ~ ordinal(A)
| ~ ordinal(B)
| A = B
| in(A,B)
| in(B,A) ),
inference(clausify,[],[normalize_0_26]) ).
cnf(refute_0_0,plain,
( skolemFOFtoCNF_B_1(A) != skolemFOFtoCNF_C(A)
| epsilon_connected(A) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) != skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)
| epsilon_connected(skolemFOFtoCNF_A_13) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(skolemFOFtoCNF_A_13))]]) ).
cnf(refute_0_2,plain,
( ~ in(skolemFOFtoCNF_B_1(A),skolemFOFtoCNF_C(A))
| epsilon_connected(A) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_C(skolemFOFtoCNF_A_13))
| epsilon_connected(skolemFOFtoCNF_A_13) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A_13))]]) ).
cnf(refute_0_4,plain,
( ~ in(skolemFOFtoCNF_C(A),skolemFOFtoCNF_B_1(A))
| epsilon_connected(A) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13))
| epsilon_connected(skolemFOFtoCNF_A_13) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(skolemFOFtoCNF_A_13))]]) ).
cnf(refute_0_6,plain,
( ~ in(B,skolemFOFtoCNF_A_13)
| ordinal(B) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_7,plain,
( ~ in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13)
| ordinal(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)) ),
inference(subst,[],[refute_0_6:[bind(B,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)))]]) ).
cnf(refute_0_8,plain,
( epsilon_connected(A)
| in(skolemFOFtoCNF_C(A),A) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_9,plain,
( epsilon_connected(skolemFOFtoCNF_A_13)
| in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13) ),
inference(subst,[],[refute_0_8:[bind(A,$fot(skolemFOFtoCNF_A_13))]]) ).
cnf(refute_0_10,plain,
( epsilon_connected(skolemFOFtoCNF_A_13)
| ordinal(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13) )],[refute_0_9,refute_0_7]) ).
cnf(refute_0_11,plain,
( ~ subset(skolemFOFtoCNF_B(A),A)
| epsilon_transitive(A) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_12,plain,
( ~ subset(skolemFOFtoCNF_B(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13)
| epsilon_transitive(skolemFOFtoCNF_A_13) ),
inference(subst,[],[refute_0_11:[bind(A,$fot(skolemFOFtoCNF_A_13))]]) ).
cnf(refute_0_13,plain,
( ~ in(B,skolemFOFtoCNF_A_13)
| subset(B,skolemFOFtoCNF_A_13) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_14,plain,
( ~ in(skolemFOFtoCNF_B(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13)
| subset(skolemFOFtoCNF_B(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13) ),
inference(subst,[],[refute_0_13:[bind(B,$fot(skolemFOFtoCNF_B(skolemFOFtoCNF_A_13)))]]) ).
cnf(refute_0_15,plain,
( epsilon_transitive(A)
| in(skolemFOFtoCNF_B(A),A) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_16,plain,
( epsilon_transitive(skolemFOFtoCNF_A_13)
| in(skolemFOFtoCNF_B(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13) ),
inference(subst,[],[refute_0_15:[bind(A,$fot(skolemFOFtoCNF_A_13))]]) ).
cnf(refute_0_17,plain,
( epsilon_transitive(skolemFOFtoCNF_A_13)
| subset(skolemFOFtoCNF_B(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_B(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13) )],[refute_0_16,refute_0_14]) ).
cnf(refute_0_18,plain,
epsilon_transitive(skolemFOFtoCNF_A_13),
inference(resolve,[$cnf( subset(skolemFOFtoCNF_B(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13) )],[refute_0_17,refute_0_12]) ).
cnf(refute_0_19,plain,
( ~ epsilon_connected(A)
| ~ epsilon_transitive(A)
| ordinal(A) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ epsilon_connected(skolemFOFtoCNF_A_13)
| ~ epsilon_transitive(skolemFOFtoCNF_A_13)
| ordinal(skolemFOFtoCNF_A_13) ),
inference(subst,[],[refute_0_19:[bind(A,$fot(skolemFOFtoCNF_A_13))]]) ).
cnf(refute_0_21,plain,
( ~ epsilon_connected(skolemFOFtoCNF_A_13)
| ordinal(skolemFOFtoCNF_A_13) ),
inference(resolve,[$cnf( epsilon_transitive(skolemFOFtoCNF_A_13) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
~ ordinal(skolemFOFtoCNF_A_13),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_23,plain,
~ epsilon_connected(skolemFOFtoCNF_A_13),
inference(resolve,[$cnf( ordinal(skolemFOFtoCNF_A_13) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
ordinal(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)),
inference(resolve,[$cnf( epsilon_connected(skolemFOFtoCNF_A_13) )],[refute_0_10,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13)
| ordinal(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)) ),
inference(subst,[],[refute_0_6:[bind(B,$fot(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)))]]) ).
cnf(refute_0_26,plain,
( epsilon_connected(A)
| in(skolemFOFtoCNF_B_1(A),A) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_27,plain,
( epsilon_connected(skolemFOFtoCNF_A_13)
| in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13) ),
inference(subst,[],[refute_0_26:[bind(A,$fot(skolemFOFtoCNF_A_13))]]) ).
cnf(refute_0_28,plain,
( epsilon_connected(skolemFOFtoCNF_A_13)
| ordinal(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_A_13) )],[refute_0_27,refute_0_25]) ).
cnf(refute_0_29,plain,
ordinal(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)),
inference(resolve,[$cnf( epsilon_connected(skolemFOFtoCNF_A_13) )],[refute_0_28,refute_0_23]) ).
cnf(refute_0_30,plain,
( ~ ordinal(A)
| ~ ordinal(B)
| A = B
| in(A,B)
| in(B,A) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_31,plain,
( ~ ordinal(X_170)
| ~ ordinal(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13))
| skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = X_170
| in(X_170,skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13))
| in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),X_170) ),
inference(subst,[],[refute_0_30:[bind(A,$fot(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13))),bind(B,$fot(X_170))]]) ).
cnf(refute_0_32,plain,
( ~ ordinal(X_170)
| skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = X_170
| in(X_170,skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13))
| in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),X_170) ),
inference(resolve,[$cnf( ordinal(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ ordinal(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13))
| skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)
| in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_C(skolemFOFtoCNF_A_13))
| in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)) ),
inference(subst,[],[refute_0_32:[bind(X_170,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)))]]) ).
cnf(refute_0_34,plain,
( skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)
| in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_C(skolemFOFtoCNF_A_13))
| in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)) ),
inference(resolve,[$cnf( ordinal(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)) )],[refute_0_24,refute_0_33]) ).
cnf(refute_0_35,plain,
( skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)
| epsilon_connected(skolemFOFtoCNF_A_13)
| in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)) )],[refute_0_34,refute_0_5]) ).
cnf(refute_0_36,plain,
( skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)
| in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)) ),
inference(resolve,[$cnf( epsilon_connected(skolemFOFtoCNF_A_13) )],[refute_0_35,refute_0_23]) ).
cnf(refute_0_37,plain,
( skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)
| epsilon_connected(skolemFOFtoCNF_A_13) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)) )],[refute_0_36,refute_0_3]) ).
cnf(refute_0_38,plain,
skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_13),
inference(resolve,[$cnf( epsilon_connected(skolemFOFtoCNF_A_13) )],[refute_0_37,refute_0_23]) ).
cnf(refute_0_39,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_40,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_41,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) != skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)
| skolemFOFtoCNF_C(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13))),bind(Y,$fot(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)))]]) ).
cnf(refute_0_43,plain,
skolemFOFtoCNF_C(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)) )],[refute_0_38,refute_0_42]) ).
cnf(refute_0_44,plain,
( skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) != skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)
| skolemFOFtoCNF_C(skolemFOFtoCNF_A_13) != skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)
| skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)) ),[1],$fot(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13))]]) ).
cnf(refute_0_45,plain,
( skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) != skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)
| skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_C(skolemFOFtoCNF_A_13) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C(skolemFOFtoCNF_A_13),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) != skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)
| epsilon_connected(skolemFOFtoCNF_A_13) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_C(skolemFOFtoCNF_A_13)) )],[refute_0_45,refute_0_1]) ).
cnf(refute_0_47,plain,
skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13) = skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13))]]) ).
cnf(refute_0_48,plain,
epsilon_connected(skolemFOFtoCNF_A_13),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13),skolemFOFtoCNF_B_1(skolemFOFtoCNF_A_13)) )],[refute_0_47,refute_0_46]) ).
cnf(refute_0_49,plain,
$false,
inference(resolve,[$cnf( epsilon_connected(skolemFOFtoCNF_A_13) )],[refute_0_48,refute_0_23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU234+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 12:48:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.11/1.32 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/1.32
% 1.11/1.32 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.18/1.33
%------------------------------------------------------------------------------