TSTP Solution File: SEU364+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 12:40:38 EDT 2022
% Result : Theorem 10.55s 10.72s
% Output : CNFRefutation 10.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 15
% Syntax : Number of formulae : 380 ( 34 unt; 2 def)
% Number of atoms : 1427 ( 337 equ)
% Maximal formula atoms : 88 ( 3 avg)
% Number of connectives : 1650 ( 603 ~; 879 |; 142 &)
% ( 20 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 9 usr; 1 prp; 0-5 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-4 aty)
% Number of variables : 494 ( 62 sgn 158 !; 64 ?)
% Comments :
%------------------------------------------------------------------------------
fof(s1_xboole_0__e11_2_1__waybel_0__1,conjecture,
! [A,B,C] :
( ( ~ empty_carrier(A)
& transitive_relstr(A)
& rel_str(A)
& element(B,powerset(the_carrier(A)))
& finite(C)
& element(C,powerset(B)) )
=> ? [D] :
! [E] :
( in(E,D)
<=> ( in(E,powerset(C))
& ? [F] :
( F = E
& ? [G] :
( element(G,the_carrier(A))
& in(G,B)
& relstr_set_smaller(A,F,G) ) ) ) ) ) ).
fof(s1_tarski__e11_2_1__waybel_0__1,axiom,
! [A,B,C] :
( ( ~ empty_carrier(A)
& transitive_relstr(A)
& rel_str(A)
& element(B,powerset(the_carrier(A)))
& finite(C)
& element(C,powerset(B)) )
=> ( ! [D,E,F] :
( ( D = E
& ? [G] :
( G = E
& ? [H] :
( element(H,the_carrier(A))
& in(H,B)
& relstr_set_smaller(A,G,H) ) )
& D = F
& ? [I] :
( I = F
& ? [J] :
( element(J,the_carrier(A))
& in(J,B)
& relstr_set_smaller(A,I,J) ) ) )
=> E = F )
=> ? [D] :
! [E] :
( in(E,D)
<=> ? [F] :
( in(F,powerset(C))
& F = E
& ? [K] :
( K = E
& ? [L] :
( element(L,the_carrier(A))
& in(L,B)
& relstr_set_smaller(A,K,L) ) ) ) ) ) ) ).
fof(definition_0,definition,
! [A,B,C,D,E] :
( definitionFOFtoCNF_0(A,B,C,D,E)
<=> ( ~ in(E,D)
<=> ! [F] :
( F != E
| ~ in(F,powerset(C))
| ! [K] :
( K != E
| ! [L] :
( ~ element(L,the_carrier(A))
| ~ in(L,B)
| ~ relstr_set_smaller(A,K,L) ) ) ) ) ) ).
fof(definition_1,definition,
! [A,B,C,D,E] :
( definitionFOFtoCNF_1(A,B,C,D,E)
<=> ( ~ definitionFOFtoCNF_0(A,B,C,D,E)
<=> in(E,D) ) ) ).
fof(subgoal_0,plain,
! [A,B,C] :
( ( ~ empty_carrier(A)
& transitive_relstr(A)
& rel_str(A)
& element(B,powerset(the_carrier(A)))
& finite(C)
& element(C,powerset(B)) )
=> ? [D] :
! [E] :
( in(E,D)
<=> ( in(E,powerset(C))
& ? [F] :
( F = E
& ? [G] :
( element(G,the_carrier(A))
& in(G,B)
& relstr_set_smaller(A,F,G) ) ) ) ) ),
inference(strip,[],[s1_xboole_0__e11_2_1__waybel_0__1]) ).
fof(negate_0_0,plain,
~ ! [A,B,C] :
( ( ~ empty_carrier(A)
& transitive_relstr(A)
& rel_str(A)
& element(B,powerset(the_carrier(A)))
& finite(C)
& element(C,powerset(B)) )
=> ? [D] :
! [E] :
( in(E,D)
<=> ( in(E,powerset(C))
& ? [F] :
( F = E
& ? [G] :
( element(G,the_carrier(A))
& in(G,B)
& relstr_set_smaller(A,F,G) ) ) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A,B,C] :
( ~ empty_carrier(A)
& element(B,powerset(the_carrier(A)))
& element(C,powerset(B))
& finite(C)
& rel_str(A)
& transitive_relstr(A)
& ! [D] :
? [E] :
( ~ in(E,D)
<=> ( in(E,powerset(C))
& ? [F] :
( F = E
& ? [G] :
( element(G,the_carrier(A))
& in(G,B)
& relstr_set_smaller(A,F,G) ) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( ~ empty_carrier(skolemFOFtoCNF_A_4)
& element(skolemFOFtoCNF_B_4,powerset(the_carrier(skolemFOFtoCNF_A_4)))
& element(skolemFOFtoCNF_C,powerset(skolemFOFtoCNF_B_4))
& finite(skolemFOFtoCNF_C)
& rel_str(skolemFOFtoCNF_A_4)
& transitive_relstr(skolemFOFtoCNF_A_4)
& ! [D] :
? [E] :
( ~ in(E,D)
<=> ( in(E,powerset(skolemFOFtoCNF_C))
& ? [F] :
( F = E
& ? [G] :
( element(G,the_carrier(skolemFOFtoCNF_A_4))
& in(G,skolemFOFtoCNF_B_4)
& relstr_set_smaller(skolemFOFtoCNF_A_4,F,G) ) ) ) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [D] :
? [E] :
( ~ in(E,D)
<=> ( in(E,powerset(skolemFOFtoCNF_C))
& ? [F] :
( F = E
& ? [G] :
( element(G,the_carrier(skolemFOFtoCNF_A_4))
& in(G,skolemFOFtoCNF_B_4)
& relstr_set_smaller(skolemFOFtoCNF_A_4,F,G) ) ) ) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [D] :
? [E] :
( ~ in(E,D)
<=> ( in(E,powerset(skolemFOFtoCNF_C))
& ? [F] :
( F = E
& ? [G] :
( element(G,the_carrier(skolemFOFtoCNF_A_4))
& in(G,skolemFOFtoCNF_B_4)
& relstr_set_smaller(skolemFOFtoCNF_A_4,F,G) ) ) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [D] :
( ~ in(skolemFOFtoCNF_E_1(D),D)
<=> ( in(skolemFOFtoCNF_E_1(D),powerset(skolemFOFtoCNF_C))
& ? [F] :
( F = skolemFOFtoCNF_E_1(D)
& ? [G] :
( element(G,the_carrier(skolemFOFtoCNF_A_4))
& in(G,skolemFOFtoCNF_B_4)
& relstr_set_smaller(skolemFOFtoCNF_A_4,F,G) ) ) ) ),
inference(skolemize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [D,F,G] :
( ( skolemFOFtoCNF_F_2(D) = skolemFOFtoCNF_E_1(D)
| in(skolemFOFtoCNF_E_1(D),D) )
& ( element(skolemFOFtoCNF_G_1(D),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_E_1(D),D) )
& ( in(skolemFOFtoCNF_E_1(D),D)
| in(skolemFOFtoCNF_E_1(D),powerset(skolemFOFtoCNF_C)) )
& ( in(skolemFOFtoCNF_E_1(D),D)
| in(skolemFOFtoCNF_G_1(D),skolemFOFtoCNF_B_4) )
& ( in(skolemFOFtoCNF_E_1(D),D)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_G_1(D)) )
& ( F != skolemFOFtoCNF_E_1(D)
| ~ element(G,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(G,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(D),D)
| ~ in(skolemFOFtoCNF_E_1(D),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,F,G) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [D,F,G] :
( F != skolemFOFtoCNF_E_1(D)
| ~ element(G,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(G,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(D),D)
| ~ in(skolemFOFtoCNF_E_1(D),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,F,G) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A,B,C,D,E] :
( ~ definitionFOFtoCNF_0(A,B,C,D,E)
<=> ( ~ in(E,D)
<=> ? [F] :
( F = E
& in(F,powerset(C))
& ? [K] :
( K = E
& ? [L] :
( element(L,the_carrier(A))
& in(L,B)
& relstr_set_smaller(A,K,L) ) ) ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_8,plain,
! [A,B,C,D,E] :
( ~ definitionFOFtoCNF_0(A,B,C,D,E)
<=> ( ~ definitionFOFtoCNF_1(A,B,C,D,E)
<=> ~ in(E,D) ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_9,plain,
! [A,B,C,D,E] :
( ~ definitionFOFtoCNF_1(A,B,C,D,E)
<=> ? [F] :
( F = E
& in(F,powerset(C))
& ? [K] :
( K = E
& ? [L] :
( element(L,the_carrier(A))
& in(L,B)
& relstr_set_smaller(A,K,L) ) ) ) ),
inference(simplify,[],[normalize_0_7,normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B,C,D,E,F,K,L] :
( ( skolemFOFtoCNF_F(A,B,C,E) = E
| definitionFOFtoCNF_1(A,B,C,D,E) )
& ( skolemFOFtoCNF_K(A,B,E) = E
| definitionFOFtoCNF_1(A,B,C,D,E) )
& ( definitionFOFtoCNF_1(A,B,C,D,E)
| element(skolemFOFtoCNF_L(A,B,E),the_carrier(A)) )
& ( definitionFOFtoCNF_1(A,B,C,D,E)
| in(skolemFOFtoCNF_F(A,B,C,E),powerset(C)) )
& ( definitionFOFtoCNF_1(A,B,C,D,E)
| in(skolemFOFtoCNF_L(A,B,E),B) )
& ( definitionFOFtoCNF_1(A,B,C,D,E)
| relstr_set_smaller(A,skolemFOFtoCNF_K(A,B,E),skolemFOFtoCNF_L(A,B,E)) )
& ( F != E
| K != E
| ~ definitionFOFtoCNF_1(A,B,C,D,E)
| ~ element(L,the_carrier(A))
| ~ in(F,powerset(C))
| ~ in(L,B)
| ~ relstr_set_smaller(A,K,L) ) ),
inference(clausify,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A,B,C,D,E] :
( definitionFOFtoCNF_1(A,B,C,D,E)
| relstr_set_smaller(A,skolemFOFtoCNF_K(A,B,E),skolemFOFtoCNF_L(A,B,E)) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [A,B,C,D,E] :
( ( ~ definitionFOFtoCNF_0(A,B,C,D,E)
| ~ definitionFOFtoCNF_1(A,B,C,D,E)
| ~ in(E,D) )
& ( ~ definitionFOFtoCNF_0(A,B,C,D,E)
| definitionFOFtoCNF_1(A,B,C,D,E)
| in(E,D) )
& ( ~ definitionFOFtoCNF_1(A,B,C,D,E)
| definitionFOFtoCNF_0(A,B,C,D,E)
| in(E,D) )
& ( ~ in(E,D)
| definitionFOFtoCNF_0(A,B,C,D,E)
| definitionFOFtoCNF_1(A,B,C,D,E) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_13,plain,
! [A,B,C,D,E] :
( ~ definitionFOFtoCNF_0(A,B,C,D,E)
| ~ definitionFOFtoCNF_1(A,B,C,D,E)
| ~ in(E,D) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
element(skolemFOFtoCNF_C,powerset(skolemFOFtoCNF_B_4)),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,plain,
element(skolemFOFtoCNF_B_4,powerset(the_carrier(skolemFOFtoCNF_A_4))),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_16,plain,
! [A,B,C] :
( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| empty_carrier(A)
| ? [D] :
! [E] :
( ~ in(E,D)
<=> ! [F] :
( F != E
| ~ in(F,powerset(C))
| ! [K] :
( K != E
| ! [L] :
( ~ element(L,the_carrier(A))
| ~ in(L,B)
| ~ relstr_set_smaller(A,K,L) ) ) ) )
| ? [D,E,F] :
( E != F
& D = E
& D = F
& ? [G] :
( G = E
& ? [H] :
( element(H,the_carrier(A))
& in(H,B)
& relstr_set_smaller(A,G,H) ) )
& ? [I] :
( I = F
& ? [J] :
( element(J,the_carrier(A))
& in(J,B)
& relstr_set_smaller(A,I,J) ) ) ) ),
inference(canonicalize,[],[s1_tarski__e11_2_1__waybel_0__1]) ).
fof(normalize_0_17,plain,
! [A,B,C] :
( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| empty_carrier(A)
| ? [D] :
! [E] :
( ~ in(E,D)
<=> ! [F] :
( F != E
| ~ in(F,powerset(C))
| ! [K] :
( K != E
| ! [L] :
( ~ element(L,the_carrier(A))
| ~ in(L,B)
| ~ relstr_set_smaller(A,K,L) ) ) ) )
| ? [D,E,F] :
( E != F
& D = E
& D = F
& ? [G] :
( G = E
& ? [H] :
( element(H,the_carrier(A))
& in(H,B)
& relstr_set_smaller(A,G,H) ) )
& ? [I] :
( I = F
& ? [J] :
( element(J,the_carrier(A))
& in(J,B)
& relstr_set_smaller(A,I,J) ) ) ) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B,C] :
( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| empty_carrier(A)
| ? [D] :
! [E] : definitionFOFtoCNF_0(A,B,C,D,E)
| ? [D,E,F] :
( E != F
& D = E
& D = F
& ? [G] :
( G = E
& ? [H] :
( element(H,the_carrier(A))
& in(H,B)
& relstr_set_smaller(A,G,H) ) )
& ? [I] :
( I = F
& ? [J] :
( element(J,the_carrier(A))
& in(J,B)
& relstr_set_smaller(A,I,J) ) ) ) ),
inference(simplify,[],[normalize_0_17,normalize_0_8,normalize_0_9]) ).
fof(normalize_0_19,plain,
! [A,B,C,E] :
( ( skolemFOFtoCNF_E(A,B) != skolemFOFtoCNF_F_1(A,B)
| ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) )
& ( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| skolemFOFtoCNF_D_1(A,B) = skolemFOFtoCNF_E(A,B)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) )
& ( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| skolemFOFtoCNF_D_1(A,B) = skolemFOFtoCNF_F_1(A,B)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) )
& ( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| skolemFOFtoCNF_G(A,B) = skolemFOFtoCNF_E(A,B)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) )
& ( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| skolemFOFtoCNF_I(A,B) = skolemFOFtoCNF_F_1(A,B)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) )
& ( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| element(skolemFOFtoCNF_H(A,B),the_carrier(A))
| empty_carrier(A) )
& ( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| element(skolemFOFtoCNF_J(A,B),the_carrier(A))
| empty_carrier(A) )
& ( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A)
| in(skolemFOFtoCNF_H(A,B),B) )
& ( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A)
| in(skolemFOFtoCNF_J(A,B),B) )
& ( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A)
| relstr_set_smaller(A,skolemFOFtoCNF_G(A,B),skolemFOFtoCNF_H(A,B)) )
& ( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A)
| relstr_set_smaller(A,skolemFOFtoCNF_I(A,B),skolemFOFtoCNF_J(A,B)) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [A,B,C,E] :
( skolemFOFtoCNF_E(A,B) != skolemFOFtoCNF_F_1(A,B)
| ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
rel_str(skolemFOFtoCNF_A_4),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_22,plain,
transitive_relstr(skolemFOFtoCNF_A_4),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_23,plain,
~ empty_carrier(skolemFOFtoCNF_A_4),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_24,plain,
finite(skolemFOFtoCNF_C),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_25,plain,
! [D] :
( in(skolemFOFtoCNF_E_1(D),D)
| in(skolemFOFtoCNF_E_1(D),powerset(skolemFOFtoCNF_C)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_26,plain,
! [A,B,C,D,E] :
( definitionFOFtoCNF_1(A,B,C,D,E)
| in(skolemFOFtoCNF_F(A,B,C,E),powerset(C)) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_27,plain,
! [A,B,C,E] :
( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| skolemFOFtoCNF_D_1(A,B) = skolemFOFtoCNF_E(A,B)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_28,plain,
! [A,B,C,D,E] :
( skolemFOFtoCNF_F(A,B,C,E) = E
| definitionFOFtoCNF_1(A,B,C,D,E) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_29,plain,
! [A,B,C,D,E] :
( definitionFOFtoCNF_1(A,B,C,D,E)
| in(skolemFOFtoCNF_L(A,B,E),B) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_30,plain,
! [D] :
( in(skolemFOFtoCNF_E_1(D),D)
| in(skolemFOFtoCNF_G_1(D),skolemFOFtoCNF_B_4) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_31,plain,
! [A,B,C,D,E] :
( definitionFOFtoCNF_1(A,B,C,D,E)
| element(skolemFOFtoCNF_L(A,B,E),the_carrier(A)) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_32,plain,
! [A,B,C,D,E] :
( skolemFOFtoCNF_K(A,B,E) = E
| definitionFOFtoCNF_1(A,B,C,D,E) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_33,plain,
! [D] :
( element(skolemFOFtoCNF_G_1(D),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_E_1(D),D) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_34,plain,
! [D] :
( in(skolemFOFtoCNF_E_1(D),D)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_G_1(D)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_35,plain,
! [A,B,C,D,E,F,K,L] :
( F != E
| K != E
| ~ definitionFOFtoCNF_1(A,B,C,D,E)
| ~ element(L,the_carrier(A))
| ~ in(F,powerset(C))
| ~ in(L,B)
| ~ relstr_set_smaller(A,K,L) ),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_36,plain,
! [A,B,C,D,E] :
( ~ definitionFOFtoCNF_0(A,B,C,D,E)
| definitionFOFtoCNF_1(A,B,C,D,E)
| in(E,D) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_37,plain,
! [D] :
( skolemFOFtoCNF_F_2(D) = skolemFOFtoCNF_E_1(D)
| in(skolemFOFtoCNF_E_1(D),D) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_38,plain,
! [A,B,C,E] :
( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| skolemFOFtoCNF_D_1(A,B) = skolemFOFtoCNF_F_1(A,B)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) ),
inference(conjunct,[],[normalize_0_19]) ).
cnf(refute_0_0,plain,
( F != skolemFOFtoCNF_E_1(D)
| ~ element(G,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(G,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(D),D)
| ~ in(skolemFOFtoCNF_E_1(D),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,F,G) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_1,plain,
( skolemFOFtoCNF_E_1(D) != skolemFOFtoCNF_E_1(D)
| ~ element(G,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(G,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(D),D)
| ~ in(skolemFOFtoCNF_E_1(D),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(D),G) ),
inference(subst,[],[refute_0_0:[bind(F,$fot(skolemFOFtoCNF_E_1(D)))]]) ).
cnf(refute_0_2,plain,
skolemFOFtoCNF_E_1(D) = skolemFOFtoCNF_E_1(D),
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_E_1(D))]]) ).
cnf(refute_0_3,plain,
( ~ element(G,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(G,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(D),D)
| ~ in(skolemFOFtoCNF_E_1(D),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(D),G) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_E_1(D),skolemFOFtoCNF_E_1(D)) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(subst,[],[refute_0_3:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(G,$fot(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))))]]) ).
cnf(refute_0_5,plain,
( definitionFOFtoCNF_1(A,B,C,D,E)
| relstr_set_smaller(A,skolemFOFtoCNF_K(A,B,E),skolemFOFtoCNF_L(A,B,E)) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_6,plain,
( definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78)
| relstr_set_smaller(X_74,skolemFOFtoCNF_K(X_74,X_75,X_78),skolemFOFtoCNF_L(X_74,X_75,X_78)) ),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_74)),bind(B,$fot(X_75)),bind(C,$fot(X_76)),bind(D,$fot(X_77)),bind(E,$fot(X_78))]]) ).
cnf(refute_0_7,plain,
( ~ definitionFOFtoCNF_0(A,B,C,D,E)
| ~ definitionFOFtoCNF_1(A,B,C,D,E)
| ~ in(E,D) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_8,plain,
( ~ definitionFOFtoCNF_0(X_74,X_75,X_76,X_77,X_78)
| ~ definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78)
| ~ in(X_78,X_77) ),
inference(subst,[],[refute_0_7:[bind(A,$fot(X_74)),bind(B,$fot(X_75)),bind(C,$fot(X_76)),bind(D,$fot(X_77)),bind(E,$fot(X_78))]]) ).
cnf(refute_0_9,plain,
( ~ definitionFOFtoCNF_0(X_74,X_75,X_76,X_77,X_78)
| ~ in(X_78,X_77)
| relstr_set_smaller(X_74,skolemFOFtoCNF_K(X_74,X_75,X_78),skolemFOFtoCNF_L(X_74,X_75,X_78)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290)
| ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1290),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1290)) ),
inference(subst,[],[refute_0_9:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1290))]]) ).
cnf(refute_0_11,plain,
element(skolemFOFtoCNF_C,powerset(skolemFOFtoCNF_B_4)),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
element(skolemFOFtoCNF_B_4,powerset(the_carrier(skolemFOFtoCNF_A_4))),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_13,plain,
( skolemFOFtoCNF_E(A,B) != skolemFOFtoCNF_F_1(A,B)
| ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_14,plain,
( skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| ~ element(X_960,powerset(skolemFOFtoCNF_B_4))
| ~ element(skolemFOFtoCNF_B_4,powerset(the_carrier(skolemFOFtoCNF_A_4)))
| ~ finite(X_960)
| ~ rel_str(skolemFOFtoCNF_A_4)
| ~ transitive_relstr(skolemFOFtoCNF_A_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_960,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_960),X_961)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_13:[bind(A,$fot(skolemFOFtoCNF_A_4)),bind(B,$fot(skolemFOFtoCNF_B_4)),bind(C,$fot(X_960)),bind(E,$fot(X_961))]]) ).
cnf(refute_0_15,plain,
( skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| ~ element(X_960,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_960)
| ~ rel_str(skolemFOFtoCNF_A_4)
| ~ transitive_relstr(skolemFOFtoCNF_A_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_960,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_960),X_961)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_B_4,powerset(the_carrier(skolemFOFtoCNF_A_4))) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
rel_str(skolemFOFtoCNF_A_4),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_17,plain,
( skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| ~ element(X_960,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_960)
| ~ transitive_relstr(skolemFOFtoCNF_A_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_960,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_960),X_961)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( rel_str(skolemFOFtoCNF_A_4) )],[refute_0_16,refute_0_15]) ).
cnf(refute_0_18,plain,
transitive_relstr(skolemFOFtoCNF_A_4),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_19,plain,
( skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| ~ element(X_960,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_960)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_960,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_960),X_961)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( transitive_relstr(skolemFOFtoCNF_A_4) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
~ empty_carrier(skolemFOFtoCNF_A_4),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_21,plain,
( skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| ~ element(X_960,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_960)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_960,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_960),X_961) ),
inference(resolve,[$cnf( empty_carrier(skolemFOFtoCNF_A_4) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| ~ element(skolemFOFtoCNF_C,powerset(skolemFOFtoCNF_B_4))
| ~ finite(skolemFOFtoCNF_C)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_963) ),
inference(subst,[],[refute_0_21:[bind(X_960,$fot(skolemFOFtoCNF_C)),bind(X_961,$fot(X_963))]]) ).
cnf(refute_0_23,plain,
( skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| ~ finite(skolemFOFtoCNF_C)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_963) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_C,powerset(skolemFOFtoCNF_B_4)) )],[refute_0_11,refute_0_22]) ).
cnf(refute_0_24,plain,
finite(skolemFOFtoCNF_C),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_25,plain,
( skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_963) ),
inference(resolve,[$cnf( finite(skolemFOFtoCNF_C) )],[refute_0_24,refute_0_23]) ).
cnf(refute_0_26,plain,
( in(skolemFOFtoCNF_E_1(D),D)
| in(skolemFOFtoCNF_E_1(D),powerset(skolemFOFtoCNF_C)) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_27,plain,
( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_26:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_28,plain,
( definitionFOFtoCNF_1(A,B,C,D,E)
| in(skolemFOFtoCNF_F(A,B,C,E),powerset(C)) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_29,plain,
( definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78)
| in(skolemFOFtoCNF_F(X_74,X_75,X_76,X_78),powerset(X_76)) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(X_74)),bind(B,$fot(X_75)),bind(C,$fot(X_76)),bind(D,$fot(X_77)),bind(E,$fot(X_78))]]) ).
cnf(refute_0_30,plain,
( ~ definitionFOFtoCNF_0(X_74,X_75,X_76,X_77,X_78)
| ~ in(X_78,X_77)
| in(skolemFOFtoCNF_F(X_74,X_75,X_76,X_78),powerset(X_76)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78) )],[refute_0_29,refute_0_8]) ).
cnf(refute_0_31,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993)
| ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_993),powerset(skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_30:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_993))]]) ).
cnf(refute_0_32,plain,
( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| skolemFOFtoCNF_D_1(A,B) = skolemFOFtoCNF_E(A,B)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_33,plain,
( ~ element(X_989,powerset(skolemFOFtoCNF_B_4))
| ~ element(skolemFOFtoCNF_B_4,powerset(the_carrier(skolemFOFtoCNF_A_4)))
| ~ finite(X_989)
| ~ rel_str(skolemFOFtoCNF_A_4)
| ~ transitive_relstr(skolemFOFtoCNF_A_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_989,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_989),X_990)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_32:[bind(A,$fot(skolemFOFtoCNF_A_4)),bind(B,$fot(skolemFOFtoCNF_B_4)),bind(C,$fot(X_989)),bind(E,$fot(X_990))]]) ).
cnf(refute_0_34,plain,
( ~ element(X_989,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_989)
| ~ rel_str(skolemFOFtoCNF_A_4)
| ~ transitive_relstr(skolemFOFtoCNF_A_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_989,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_989),X_990)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_B_4,powerset(the_carrier(skolemFOFtoCNF_A_4))) )],[refute_0_12,refute_0_33]) ).
cnf(refute_0_35,plain,
( ~ element(X_989,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_989)
| ~ transitive_relstr(skolemFOFtoCNF_A_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_989,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_989),X_990)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( rel_str(skolemFOFtoCNF_A_4) )],[refute_0_16,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ element(X_989,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_989)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_989,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_989),X_990)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( transitive_relstr(skolemFOFtoCNF_A_4) )],[refute_0_18,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ element(X_989,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_989)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_989,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_989),X_990) ),
inference(resolve,[$cnf( empty_carrier(skolemFOFtoCNF_A_4) )],[refute_0_36,refute_0_20]) ).
cnf(refute_0_38,plain,
( ~ element(skolemFOFtoCNF_C,powerset(skolemFOFtoCNF_B_4))
| ~ finite(skolemFOFtoCNF_C)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_992) ),
inference(subst,[],[refute_0_37:[bind(X_989,$fot(skolemFOFtoCNF_C)),bind(X_990,$fot(X_992))]]) ).
cnf(refute_0_39,plain,
( ~ finite(skolemFOFtoCNF_C)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_992) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_C,powerset(skolemFOFtoCNF_B_4)) )],[refute_0_11,refute_0_38]) ).
cnf(refute_0_40,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_992) ),
inference(resolve,[$cnf( finite(skolemFOFtoCNF_C) )],[refute_0_24,refute_0_39]) ).
cnf(refute_0_41,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993) ),
inference(subst,[],[refute_0_40:[bind(X_992,$fot(X_993))]]) ).
cnf(refute_0_42,plain,
( ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_993),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993) )],[refute_0_41,refute_0_31]) ).
cnf(refute_0_43,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_42:[bind(X_993,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_44,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_27,refute_0_43]) ).
cnf(refute_0_45,plain,
( skolemFOFtoCNF_F(A,B,C,E) = E
| definitionFOFtoCNF_1(A,B,C,D,E) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_46,plain,
( skolemFOFtoCNF_F(X_74,X_75,X_76,X_78) = X_78
| definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78) ),
inference(subst,[],[refute_0_45:[bind(A,$fot(X_74)),bind(B,$fot(X_75)),bind(C,$fot(X_76)),bind(D,$fot(X_77)),bind(E,$fot(X_78))]]) ).
cnf(refute_0_47,plain,
( ~ definitionFOFtoCNF_0(X_74,X_75,X_76,X_77,X_78)
| ~ in(X_78,X_77)
| skolemFOFtoCNF_F(X_74,X_75,X_76,X_78) = X_78 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78) )],[refute_0_46,refute_0_8]) ).
cnf(refute_0_48,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993)
| ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_993) = X_993 ),
inference(subst,[],[refute_0_47:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_993))]]) ).
cnf(refute_0_49,plain,
( ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_993) = X_993 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993) )],[refute_0_41,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_49:[bind(X_993,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_51,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_27,refute_0_50]) ).
cnf(refute_0_52,plain,
( skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) != skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C)) ),[0],$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_53,plain,
( ~ in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C)) )],[refute_0_44,refute_0_53]) ).
cnf(refute_0_55,plain,
( definitionFOFtoCNF_1(A,B,C,D,E)
| in(skolemFOFtoCNF_L(A,B,E),B) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_56,plain,
( definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78)
| in(skolemFOFtoCNF_L(X_74,X_75,X_78),X_75) ),
inference(subst,[],[refute_0_55:[bind(A,$fot(X_74)),bind(B,$fot(X_75)),bind(C,$fot(X_76)),bind(D,$fot(X_77)),bind(E,$fot(X_78))]]) ).
cnf(refute_0_57,plain,
( ~ definitionFOFtoCNF_0(X_74,X_75,X_76,X_77,X_78)
| ~ in(X_78,X_77)
| in(skolemFOFtoCNF_L(X_74,X_75,X_78),X_75) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78) )],[refute_0_56,refute_0_8]) ).
cnf(refute_0_58,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993)
| ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_993),skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_57:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_993))]]) ).
cnf(refute_0_59,plain,
( ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_993),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993) )],[refute_0_41,refute_0_58]) ).
cnf(refute_0_60,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_59:[bind(X_993,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_61,plain,
( in(skolemFOFtoCNF_E_1(D),D)
| in(skolemFOFtoCNF_G_1(D),skolemFOFtoCNF_B_4) ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_62,plain,
( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_61:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_63,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_60]) ).
cnf(refute_0_64,plain,
( definitionFOFtoCNF_1(A,B,C,D,E)
| element(skolemFOFtoCNF_L(A,B,E),the_carrier(A)) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_65,plain,
( definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78)
| element(skolemFOFtoCNF_L(X_74,X_75,X_78),the_carrier(X_74)) ),
inference(subst,[],[refute_0_64:[bind(A,$fot(X_74)),bind(B,$fot(X_75)),bind(C,$fot(X_76)),bind(D,$fot(X_77)),bind(E,$fot(X_78))]]) ).
cnf(refute_0_66,plain,
( ~ definitionFOFtoCNF_0(X_74,X_75,X_76,X_77,X_78)
| ~ in(X_78,X_77)
| element(skolemFOFtoCNF_L(X_74,X_75,X_78),the_carrier(X_74)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78) )],[refute_0_65,refute_0_8]) ).
cnf(refute_0_67,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993)
| ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_993),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(subst,[],[refute_0_66:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_993))]]) ).
cnf(refute_0_68,plain,
( ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_993),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993) )],[refute_0_41,refute_0_67]) ).
cnf(refute_0_69,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(subst,[],[refute_0_68:[bind(X_993,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_70,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_69]) ).
cnf(refute_0_71,plain,
( in(skolemFOFtoCNF_E_1(X_112),X_112)
| in(skolemFOFtoCNF_G_1(X_112),skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_61:[bind(D,$fot(X_112))]]) ).
cnf(refute_0_72,plain,
( ~ element(X_113,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(X_113,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(X_112),X_112)
| ~ in(skolemFOFtoCNF_E_1(X_112),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(X_112),X_113) ),
inference(subst,[],[refute_0_3:[bind(D,$fot(X_112)),bind(G,$fot(X_113))]]) ).
cnf(refute_0_73,plain,
( ~ element(X_113,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(X_113,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(X_112),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(X_112),X_113)
| in(skolemFOFtoCNF_G_1(X_112),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(X_112),X_112) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_73:[bind(X_112,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_113,$fot(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))))]]) ).
cnf(refute_0_75,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993)
| ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_993),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_993)) ),
inference(subst,[],[refute_0_9:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_993))]]) ).
cnf(refute_0_76,plain,
( ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_993),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_993)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993) )],[refute_0_41,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(subst,[],[refute_0_76:[bind(X_993,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_78,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_77]) ).
cnf(refute_0_79,plain,
( skolemFOFtoCNF_K(A,B,E) = E
| definitionFOFtoCNF_1(A,B,C,D,E) ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_80,plain,
( skolemFOFtoCNF_K(X_74,X_75,X_78) = X_78
| definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78) ),
inference(subst,[],[refute_0_79:[bind(A,$fot(X_74)),bind(B,$fot(X_75)),bind(C,$fot(X_76)),bind(D,$fot(X_77)),bind(E,$fot(X_78))]]) ).
cnf(refute_0_81,plain,
( ~ definitionFOFtoCNF_0(X_74,X_75,X_76,X_77,X_78)
| ~ in(X_78,X_77)
| skolemFOFtoCNF_K(X_74,X_75,X_78) = X_78 ),
inference(resolve,[$cnf( definitionFOFtoCNF_1(X_74,X_75,X_76,X_77,X_78) )],[refute_0_80,refute_0_8]) ).
cnf(refute_0_82,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993)
| ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_993) = X_993 ),
inference(subst,[],[refute_0_81:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_993))]]) ).
cnf(refute_0_83,plain,
( ~ in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_993) = X_993 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993) )],[refute_0_41,refute_0_82]) ).
cnf(refute_0_84,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_83:[bind(X_993,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_85,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_84]) ).
cnf(refute_0_86,plain,
( skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) != skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
introduced(tautology,[equality,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),[1],$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_87,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_78,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_88,refute_0_74]) ).
cnf(refute_0_90,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_70,refute_0_89]) ).
cnf(refute_0_91,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_63,refute_0_90]) ).
cnf(refute_0_92,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_54,refute_0_91]) ).
cnf(refute_0_93,plain,
( element(skolemFOFtoCNF_G_1(D),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_E_1(D),D) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_94,plain,
( element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_93:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_95,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_60]) ).
cnf(refute_0_96,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_69]) ).
cnf(refute_0_97,plain,
( element(skolemFOFtoCNF_G_1(X_112),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_E_1(X_112),X_112) ),
inference(subst,[],[refute_0_93:[bind(D,$fot(X_112))]]) ).
cnf(refute_0_98,plain,
( ~ element(X_113,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(X_113,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(X_112),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(X_112),X_113)
| element(skolemFOFtoCNF_G_1(X_112),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(X_112),X_112) )],[refute_0_97,refute_0_72]) ).
cnf(refute_0_99,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(subst,[],[refute_0_98:[bind(X_112,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_113,$fot(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))))]]) ).
cnf(refute_0_100,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_77]) ).
cnf(refute_0_101,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_84]) ).
cnf(refute_0_102,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_101,refute_0_86]) ).
cnf(refute_0_103,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_100,refute_0_102]) ).
cnf(refute_0_104,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_103,refute_0_99]) ).
cnf(refute_0_105,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_96,refute_0_104]) ).
cnf(refute_0_106,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_95,refute_0_105]) ).
cnf(refute_0_107,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_54,refute_0_106]) ).
cnf(refute_0_108,plain,
( in(skolemFOFtoCNF_E_1(D),D)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_G_1(D)) ),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_109,plain,
( F != E
| K != E
| ~ definitionFOFtoCNF_1(A,B,C,D,E)
| ~ element(L,the_carrier(A))
| ~ in(F,powerset(C))
| ~ in(L,B)
| ~ relstr_set_smaller(A,K,L) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_110,plain,
( E != E
| ~ definitionFOFtoCNF_1(A,B,C,D,E)
| ~ element(L,the_carrier(A))
| ~ in(E,powerset(C))
| ~ in(L,B)
| ~ relstr_set_smaller(A,E,L) ),
inference(subst,[],[refute_0_109:[bind(F,$fot(E)),bind(K,$fot(E))]]) ).
cnf(refute_0_111,plain,
E = E,
introduced(tautology,[refl,[$fot(E)]]) ).
cnf(refute_0_112,plain,
( ~ definitionFOFtoCNF_1(A,B,C,D,E)
| ~ element(L,the_carrier(A))
| ~ in(E,powerset(C))
| ~ in(L,B)
| ~ relstr_set_smaller(A,E,L) ),
inference(resolve,[$cnf( $equal(E,E) )],[refute_0_111,refute_0_110]) ).
cnf(refute_0_113,plain,
( ~ definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,X_210,X_211,X_212,skolemFOFtoCNF_F_2(D))
| ~ element(skolemFOFtoCNF_G_1(D),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_F_2(D),powerset(X_211))
| ~ in(skolemFOFtoCNF_G_1(D),X_210)
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_G_1(D)) ),
inference(subst,[],[refute_0_112:[bind(A,$fot(skolemFOFtoCNF_A_4)),bind(B,$fot(X_210)),bind(C,$fot(X_211)),bind(D,$fot(X_212)),bind(E,$fot(skolemFOFtoCNF_F_2(D))),bind(L,$fot(skolemFOFtoCNF_G_1(D)))]]) ).
cnf(refute_0_114,plain,
( ~ definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,X_210,X_211,X_212,skolemFOFtoCNF_F_2(D))
| ~ element(skolemFOFtoCNF_G_1(D),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_F_2(D),powerset(X_211))
| ~ in(skolemFOFtoCNF_G_1(D),X_210)
| in(skolemFOFtoCNF_E_1(D),D) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_G_1(D)) )],[refute_0_108,refute_0_113]) ).
cnf(refute_0_115,plain,
( ~ definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),skolemFOFtoCNF_F_2(D))
| ~ element(skolemFOFtoCNF_G_1(D),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_F_2(D),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(D),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(D),D) ),
inference(subst,[],[refute_0_114:[bind(X_210,$fot(skolemFOFtoCNF_B_4)),bind(X_211,$fot(skolemFOFtoCNF_C)),bind(X_212,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_116,plain,
( ~ definitionFOFtoCNF_0(A,B,C,D,E)
| definitionFOFtoCNF_1(A,B,C,D,E)
| in(E,D) ),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_117,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993)
| definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993)
| in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_116:[bind(A,$fot(skolemFOFtoCNF_A_4)),bind(B,$fot(skolemFOFtoCNF_B_4)),bind(C,$fot(skolemFOFtoCNF_C)),bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(E,$fot(X_993))]]) ).
cnf(refute_0_118,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993)
| in(X_993,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_993) )],[refute_0_41,refute_0_117]) ).
cnf(refute_0_119,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),skolemFOFtoCNF_F_2(D))
| in(skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_118:[bind(X_993,$fot(skolemFOFtoCNF_F_2(D)))]]) ).
cnf(refute_0_120,plain,
( ~ element(skolemFOFtoCNF_G_1(D),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_F_2(D),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(D),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(D),D)
| in(skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),skolemFOFtoCNF_F_2(D)) )],[refute_0_119,refute_0_115]) ).
cnf(refute_0_121,plain,
( ~ element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_120:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_122,plain,
( skolemFOFtoCNF_F_2(D) = skolemFOFtoCNF_E_1(D)
| in(skolemFOFtoCNF_E_1(D),D) ),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_123,plain,
( skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_122:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_124,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_60]) ).
cnf(refute_0_125,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_69]) ).
cnf(refute_0_126,plain,
( skolemFOFtoCNF_F_2(X_112) = skolemFOFtoCNF_E_1(X_112)
| in(skolemFOFtoCNF_E_1(X_112),X_112) ),
inference(subst,[],[refute_0_122:[bind(D,$fot(X_112))]]) ).
cnf(refute_0_127,plain,
( ~ element(X_113,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(X_113,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(X_112),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(X_112),X_113)
| skolemFOFtoCNF_F_2(X_112) = skolemFOFtoCNF_E_1(X_112) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(X_112),X_112) )],[refute_0_126,refute_0_72]) ).
cnf(refute_0_128,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_127:[bind(X_112,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_113,$fot(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))))]]) ).
cnf(refute_0_129,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_77]) ).
cnf(refute_0_130,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_84]) ).
cnf(refute_0_131,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_130,refute_0_86]) ).
cnf(refute_0_132,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_129,refute_0_131]) ).
cnf(refute_0_133,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_132,refute_0_128]) ).
cnf(refute_0_134,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_125,refute_0_133]) ).
cnf(refute_0_135,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_124,refute_0_134]) ).
cnf(refute_0_136,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_54,refute_0_135]) ).
cnf(refute_0_137,plain,
( skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) != skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( ~ in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),[0],$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_138,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( ~ element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_138,refute_0_121]) ).
cnf(refute_0_140,plain,
( ~ element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_54,refute_0_139]) ).
cnf(refute_0_141,plain,
( ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_107,refute_0_140]) ).
cnf(refute_0_142,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) )],[refute_0_92,refute_0_141]) ).
cnf(refute_0_143,plain,
( skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) != skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),[0],$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_144,plain,
( ~ in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_136,refute_0_143]) ).
cnf(refute_0_145,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_142,refute_0_144]) ).
cnf(refute_0_146,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_145,refute_0_60]) ).
cnf(refute_0_147,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_145,refute_0_69]) ).
cnf(refute_0_148,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_145,refute_0_77]) ).
cnf(refute_0_149,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_145,refute_0_84]) ).
cnf(refute_0_150,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_149,refute_0_86]) ).
cnf(refute_0_151,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_148,refute_0_150]) ).
cnf(refute_0_152,plain,
( ~ element(G,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(G,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),G) ),
inference(subst,[],[refute_0_3:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_153,plain,
( ~ element(G,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(G,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),G)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_145,refute_0_152]) ).
cnf(refute_0_154,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_153:[bind(G,$fot(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))))]]) ).
cnf(refute_0_155,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_147,refute_0_155]) ).
cnf(refute_0_157,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_146,refute_0_156]) ).
cnf(refute_0_158,plain,
skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_54,refute_0_157]) ).
cnf(refute_0_159,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_160,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_161,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_161:[bind(X,$fot(skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4))),bind(Y,$fot(skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)))]]) ).
cnf(refute_0_163,plain,
skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)) )],[refute_0_158,refute_0_162]) ).
cnf(refute_0_164,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)) ),[1],$fot(skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4))]]) ).
cnf(refute_0_165,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_963) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_E(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)) )],[refute_0_165,refute_0_25]) ).
cnf(refute_0_167,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225)
| ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_1225),powerset(skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_30:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1225))]]) ).
cnf(refute_0_168,plain,
( ~ element(B,powerset(the_carrier(A)))
| ~ element(C,powerset(B))
| ~ finite(C)
| ~ rel_str(A)
| ~ transitive_relstr(A)
| skolemFOFtoCNF_D_1(A,B) = skolemFOFtoCNF_F_1(A,B)
| definitionFOFtoCNF_0(A,B,C,skolemFOFtoCNF_D(A,B,C),E)
| empty_carrier(A) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_169,plain,
( ~ element(X_1221,powerset(skolemFOFtoCNF_B_4))
| ~ element(skolemFOFtoCNF_B_4,powerset(the_carrier(skolemFOFtoCNF_A_4)))
| ~ finite(X_1221)
| ~ rel_str(skolemFOFtoCNF_A_4)
| ~ transitive_relstr(skolemFOFtoCNF_A_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1221,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1221),X_1222)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_168:[bind(A,$fot(skolemFOFtoCNF_A_4)),bind(B,$fot(skolemFOFtoCNF_B_4)),bind(C,$fot(X_1221)),bind(E,$fot(X_1222))]]) ).
cnf(refute_0_170,plain,
( ~ element(X_1221,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_1221)
| ~ rel_str(skolemFOFtoCNF_A_4)
| ~ transitive_relstr(skolemFOFtoCNF_A_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1221,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1221),X_1222)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_B_4,powerset(the_carrier(skolemFOFtoCNF_A_4))) )],[refute_0_12,refute_0_169]) ).
cnf(refute_0_171,plain,
( ~ element(X_1221,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_1221)
| ~ transitive_relstr(skolemFOFtoCNF_A_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1221,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1221),X_1222)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( rel_str(skolemFOFtoCNF_A_4) )],[refute_0_16,refute_0_170]) ).
cnf(refute_0_172,plain,
( ~ element(X_1221,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_1221)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1221,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1221),X_1222)
| empty_carrier(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( transitive_relstr(skolemFOFtoCNF_A_4) )],[refute_0_18,refute_0_171]) ).
cnf(refute_0_173,plain,
( ~ element(X_1221,powerset(skolemFOFtoCNF_B_4))
| ~ finite(X_1221)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1221,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1221),X_1222) ),
inference(resolve,[$cnf( empty_carrier(skolemFOFtoCNF_A_4) )],[refute_0_172,refute_0_20]) ).
cnf(refute_0_174,plain,
( ~ element(skolemFOFtoCNF_C,powerset(skolemFOFtoCNF_B_4))
| ~ finite(skolemFOFtoCNF_C)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1224) ),
inference(subst,[],[refute_0_173:[bind(X_1221,$fot(skolemFOFtoCNF_C)),bind(X_1222,$fot(X_1224))]]) ).
cnf(refute_0_175,plain,
( ~ finite(skolemFOFtoCNF_C)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1224) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_C,powerset(skolemFOFtoCNF_B_4)) )],[refute_0_11,refute_0_174]) ).
cnf(refute_0_176,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1224) ),
inference(resolve,[$cnf( finite(skolemFOFtoCNF_C) )],[refute_0_24,refute_0_175]) ).
cnf(refute_0_177,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225) ),
inference(subst,[],[refute_0_176:[bind(X_1224,$fot(X_1225))]]) ).
cnf(refute_0_178,plain,
( ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_1225),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225) )],[refute_0_177,refute_0_167]) ).
cnf(refute_0_179,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_178:[bind(X_1225,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_180,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_27,refute_0_179]) ).
cnf(refute_0_181,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225)
| ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_1225) = X_1225 ),
inference(subst,[],[refute_0_47:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1225))]]) ).
cnf(refute_0_182,plain,
( ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_1225) = X_1225 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225) )],[refute_0_177,refute_0_181]) ).
cnf(refute_0_183,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_182:[bind(X_1225,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_184,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_27,refute_0_183]) ).
cnf(refute_0_185,plain,
( ~ in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_184,refute_0_52]) ).
cnf(refute_0_186,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C)) )],[refute_0_180,refute_0_185]) ).
cnf(refute_0_187,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225)
| ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1225),skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_57:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1225))]]) ).
cnf(refute_0_188,plain,
( ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1225),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225) )],[refute_0_177,refute_0_187]) ).
cnf(refute_0_189,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_188:[bind(X_1225,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_190,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_189]) ).
cnf(refute_0_191,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225)
| ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1225),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(subst,[],[refute_0_66:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1225))]]) ).
cnf(refute_0_192,plain,
( ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1225),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225) )],[refute_0_177,refute_0_191]) ).
cnf(refute_0_193,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(subst,[],[refute_0_192:[bind(X_1225,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_194,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_193]) ).
cnf(refute_0_195,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225)
| ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1225),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1225)) ),
inference(subst,[],[refute_0_9:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1225))]]) ).
cnf(refute_0_196,plain,
( ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1225),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1225)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225) )],[refute_0_177,refute_0_195]) ).
cnf(refute_0_197,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(subst,[],[refute_0_196:[bind(X_1225,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_198,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_197]) ).
cnf(refute_0_199,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225)
| ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1225) = X_1225 ),
inference(subst,[],[refute_0_81:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1225))]]) ).
cnf(refute_0_200,plain,
( ~ in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1225) = X_1225 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225) )],[refute_0_177,refute_0_199]) ).
cnf(refute_0_201,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_200:[bind(X_1225,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_202,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_201]) ).
cnf(refute_0_203,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_202,refute_0_86]) ).
cnf(refute_0_204,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_198,refute_0_203]) ).
cnf(refute_0_205,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_204,refute_0_74]) ).
cnf(refute_0_206,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_194,refute_0_205]) ).
cnf(refute_0_207,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_190,refute_0_206]) ).
cnf(refute_0_208,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_186,refute_0_207]) ).
cnf(refute_0_209,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_189]) ).
cnf(refute_0_210,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_193]) ).
cnf(refute_0_211,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_197]) ).
cnf(refute_0_212,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_201]) ).
cnf(refute_0_213,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_212,refute_0_86]) ).
cnf(refute_0_214,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_211,refute_0_213]) ).
cnf(refute_0_215,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_214,refute_0_99]) ).
cnf(refute_0_216,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_210,refute_0_215]) ).
cnf(refute_0_217,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_209,refute_0_216]) ).
cnf(refute_0_218,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_186,refute_0_217]) ).
cnf(refute_0_219,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225)
| definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225)
| in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_116:[bind(A,$fot(skolemFOFtoCNF_A_4)),bind(B,$fot(skolemFOFtoCNF_B_4)),bind(C,$fot(skolemFOFtoCNF_C)),bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(E,$fot(X_1225))]]) ).
cnf(refute_0_220,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225)
| in(X_1225,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1225) )],[refute_0_177,refute_0_219]) ).
cnf(refute_0_221,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),skolemFOFtoCNF_F_2(D))
| in(skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_220:[bind(X_1225,$fot(skolemFOFtoCNF_F_2(D)))]]) ).
cnf(refute_0_222,plain,
( ~ element(skolemFOFtoCNF_G_1(D),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_F_2(D),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(D),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(D),D)
| in(skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),skolemFOFtoCNF_F_2(D)) )],[refute_0_221,refute_0_115]) ).
cnf(refute_0_223,plain,
( ~ element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_222:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_224,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_189]) ).
cnf(refute_0_225,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_193]) ).
cnf(refute_0_226,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_197]) ).
cnf(refute_0_227,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_201]) ).
cnf(refute_0_228,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_227,refute_0_86]) ).
cnf(refute_0_229,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_226,refute_0_228]) ).
cnf(refute_0_230,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_229,refute_0_128]) ).
cnf(refute_0_231,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_225,refute_0_230]) ).
cnf(refute_0_232,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_224,refute_0_231]) ).
cnf(refute_0_233,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_186,refute_0_232]) ).
cnf(refute_0_234,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_233,refute_0_137]) ).
cnf(refute_0_235,plain,
( ~ element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_234,refute_0_223]) ).
cnf(refute_0_236,plain,
( ~ element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_186,refute_0_235]) ).
cnf(refute_0_237,plain,
( ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_218,refute_0_236]) ).
cnf(refute_0_238,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) )],[refute_0_208,refute_0_237]) ).
cnf(refute_0_239,plain,
( ~ in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_233,refute_0_143]) ).
cnf(refute_0_240,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_240,refute_0_189]) ).
cnf(refute_0_242,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_240,refute_0_193]) ).
cnf(refute_0_243,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_240,refute_0_197]) ).
cnf(refute_0_244,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_240,refute_0_201]) ).
cnf(refute_0_245,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_244,refute_0_86]) ).
cnf(refute_0_246,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_243,refute_0_245]) ).
cnf(refute_0_247,plain,
( ~ element(G,the_carrier(skolemFOFtoCNF_A_4))
| ~ in(G,skolemFOFtoCNF_B_4)
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),G)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_240,refute_0_152]) ).
cnf(refute_0_248,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_247:[bind(G,$fot(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))))]]) ).
cnf(refute_0_249,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_246,refute_0_248]) ).
cnf(refute_0_250,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_242,refute_0_249]) ).
cnf(refute_0_251,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_241,refute_0_250]) ).
cnf(refute_0_252,plain,
skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_186,refute_0_251]) ).
cnf(refute_0_253,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_161:[bind(X,$fot(skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4))),bind(Y,$fot(skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)))]]) ).
cnf(refute_0_254,plain,
skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)) ),[1],$fot(skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4))]]) ).
cnf(refute_0_256,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
( skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) != skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)
| definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_963) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),skolemFOFtoCNF_F_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)) )],[refute_0_256,refute_0_166]) ).
cnf(refute_0_258,plain,
skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4) = skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4))]]) ).
cnf(refute_0_259,plain,
definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_963),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4),skolemFOFtoCNF_D_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4)) )],[refute_0_258,refute_0_257]) ).
cnf(refute_0_260,plain,
definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290),
inference(subst,[],[refute_0_259:[bind(X_963,$fot(X_1290))]]) ).
cnf(refute_0_261,plain,
( ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1290),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1290)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290) )],[refute_0_260,refute_0_10]) ).
cnf(refute_0_262,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(subst,[],[refute_0_261:[bind(X_1290,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_263,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290)
| definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290)
| in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_116:[bind(A,$fot(skolemFOFtoCNF_A_4)),bind(B,$fot(skolemFOFtoCNF_B_4)),bind(C,$fot(skolemFOFtoCNF_C)),bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(E,$fot(X_1290))]]) ).
cnf(refute_0_264,plain,
( definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290)
| in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
( definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),skolemFOFtoCNF_F_2(D))
| in(skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_264:[bind(X_1290,$fot(skolemFOFtoCNF_F_2(D)))]]) ).
cnf(refute_0_266,plain,
( ~ element(skolemFOFtoCNF_G_1(D),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_F_2(D),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(D),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(D),D)
| in(skolemFOFtoCNF_F_2(D),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_1(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),skolemFOFtoCNF_F_2(D)) )],[refute_0_265,refute_0_115]) ).
cnf(refute_0_267,plain,
( ~ element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_266:[bind(D,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_268,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290)
| ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1290),skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_57:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1290))]]) ).
cnf(refute_0_269,plain,
( ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1290),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290) )],[refute_0_260,refute_0_268]) ).
cnf(refute_0_270,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(subst,[],[refute_0_269:[bind(X_1290,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_271,plain,
( skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_270]) ).
cnf(refute_0_272,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290)
| ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1290),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(subst,[],[refute_0_66:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1290))]]) ).
cnf(refute_0_273,plain,
( ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1290),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290) )],[refute_0_260,refute_0_272]) ).
cnf(refute_0_274,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(subst,[],[refute_0_273:[bind(X_1290,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_275,plain,
( skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_274]) ).
cnf(refute_0_276,plain,
( skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_262]) ).
cnf(refute_0_277,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290)
| ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1290) = X_1290 ),
inference(subst,[],[refute_0_81:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1290))]]) ).
cnf(refute_0_278,plain,
( ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,X_1290) = X_1290 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290) )],[refute_0_260,refute_0_277]) ).
cnf(refute_0_279,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_278:[bind(X_1290,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_280,plain,
( skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_123,refute_0_279]) ).
cnf(refute_0_281,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_280,refute_0_86]) ).
cnf(refute_0_282,plain,
( skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_276,refute_0_281]) ).
cnf(refute_0_283,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_282,refute_0_128]) ).
cnf(refute_0_284,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290)
| ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_1290),powerset(skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_30:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1290))]]) ).
cnf(refute_0_285,plain,
( ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_1290),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290) )],[refute_0_260,refute_0_284]) ).
cnf(refute_0_286,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_285:[bind(X_1290,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_287,plain,
( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_27,refute_0_286]) ).
cnf(refute_0_288,plain,
( ~ definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290)
| ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_1290) = X_1290 ),
inference(subst,[],[refute_0_47:[bind(X_74,$fot(skolemFOFtoCNF_A_4)),bind(X_75,$fot(skolemFOFtoCNF_B_4)),bind(X_76,$fot(skolemFOFtoCNF_C)),bind(X_77,$fot(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),bind(X_78,$fot(X_1290))]]) ).
cnf(refute_0_289,plain,
( ~ in(X_1290,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,X_1290) = X_1290 ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C),X_1290) )],[refute_0_260,refute_0_288]) ).
cnf(refute_0_290,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(subst,[],[refute_0_289:[bind(X_1290,$fot(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_291,plain,
( skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_27,refute_0_290]) ).
cnf(refute_0_292,plain,
( ~ in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_291,refute_0_52]) ).
cnf(refute_0_293,plain,
in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_F(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),powerset(skolemFOFtoCNF_C)) )],[refute_0_287,refute_0_292]) ).
cnf(refute_0_294,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_293,refute_0_283]) ).
cnf(refute_0_295,plain,
( ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_275,refute_0_294]) ).
cnf(refute_0_296,plain,
skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_271,refute_0_295]) ).
cnf(refute_0_297,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_296,refute_0_137]) ).
cnf(refute_0_298,plain,
( ~ element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_297,refute_0_267]) ).
cnf(refute_0_299,plain,
( ~ in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_296,refute_0_143]) ).
cnf(refute_0_300,plain,
( ~ element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_F_2(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_270]) ).
cnf(refute_0_302,plain,
( element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_274]) ).
cnf(refute_0_303,plain,
( element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_262]) ).
cnf(refute_0_304,plain,
( skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_94,refute_0_279]) ).
cnf(refute_0_305,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_304,refute_0_86]) ).
cnf(refute_0_306,plain,
( element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_303,refute_0_305]) ).
cnf(refute_0_307,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_306,refute_0_99]) ).
cnf(refute_0_308,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_293,refute_0_307]) ).
cnf(refute_0_309,plain,
( ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_302,refute_0_308]) ).
cnf(refute_0_310,plain,
element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_301,refute_0_309]) ).
cnf(refute_0_311,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_310,refute_0_300]) ).
cnf(refute_0_312,plain,
( ~ in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_293,refute_0_311]) ).
cnf(refute_0_313,plain,
( in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_270]) ).
cnf(refute_0_314,plain,
( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_274]) ).
cnf(refute_0_315,plain,
( in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_262]) ).
cnf(refute_0_316,plain,
( skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_62,refute_0_279]) ).
cnf(refute_0_317,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_316,refute_0_86]) ).
cnf(refute_0_318,plain,
( in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4)
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_315,refute_0_317]) ).
cnf(refute_0_319,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_318,refute_0_74]) ).
cnf(refute_0_320,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_293,refute_0_319]) ).
cnf(refute_0_321,plain,
( ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4)
| in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_314,refute_0_320]) ).
cnf(refute_0_322,plain,
in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4),
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_313,refute_0_321]) ).
cnf(refute_0_323,plain,
in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_G_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_B_4) )],[refute_0_322,refute_0_312]) ).
cnf(refute_0_324,plain,
relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_323,refute_0_262]) ).
cnf(refute_0_325,plain,
skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) = skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_323,refute_0_279]) ).
cnf(refute_0_326,plain,
( ~ relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))))
| relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))) )],[refute_0_325,refute_0_86]) ).
cnf(refute_0_327,plain,
relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_K(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_324,refute_0_326]) ).
cnf(refute_0_328,plain,
( ~ element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( relstr_set_smaller(skolemFOFtoCNF_A_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)))) )],[refute_0_327,refute_0_4]) ).
cnf(refute_0_329,plain,
element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_323,refute_0_274]) ).
cnf(refute_0_330,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),the_carrier(skolemFOFtoCNF_A_4)) )],[refute_0_329,refute_0_328]) ).
cnf(refute_0_331,plain,
( ~ in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))
| ~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) ),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),powerset(skolemFOFtoCNF_C)) )],[refute_0_293,refute_0_330]) ).
cnf(refute_0_332,plain,
~ in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_323,refute_0_331]) ).
cnf(refute_0_333,plain,
in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4),
inference(resolve,[$cnf( in(skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)),skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C)) )],[refute_0_323,refute_0_270]) ).
cnf(refute_0_334,plain,
$false,
inference(resolve,[$cnf( in(skolemFOFtoCNF_L(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_E_1(skolemFOFtoCNF_D(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B_4,skolemFOFtoCNF_C))),skolemFOFtoCNF_B_4) )],[refute_0_333,refute_0_332]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 03:30:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 10.55/10.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.55/10.72
% 10.55/10.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.60/10.77
%------------------------------------------------------------------------------