TSTP Solution File: SEU219+3 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 12:39:26 EDT 2022
% Result : Theorem 6.24s 6.45s
% Output : CNFRefutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 53
% Syntax : Number of formulae : 235 ( 95 unt; 0 def)
% Number of atoms : 462 ( 302 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 421 ( 194 ~; 182 |; 34 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 18 ( 6 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 55 ( 0 sgn 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d9_funct_1,axiom,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> function_inverse(A) = relation_inverse(A) ) ) ).
fof(dt_k4_relat_1,axiom,
! [A] :
( relation(A)
=> relation(relation_inverse(A)) ) ).
fof(involutiveness_k4_relat_1,axiom,
! [A] :
( relation(A)
=> relation_inverse(relation_inverse(A)) = A ) ).
fof(t37_relat_1,axiom,
! [A] :
( relation(A)
=> ( relation_rng(A) = relation_dom(relation_inverse(A))
& relation_dom(A) = relation_rng(relation_inverse(A)) ) ) ).
fof(t55_funct_1,conjecture,
! [A] :
( ( relation(A)
& function(A) )
=> ( one_to_one(A)
=> ( relation_rng(A) = relation_dom(function_inverse(A))
& relation_dom(A) = relation_rng(function_inverse(A)) ) ) ) ).
fof(subgoal_0,plain,
! [A] :
( ( relation(A)
& function(A)
& one_to_one(A) )
=> relation_rng(A) = relation_dom(function_inverse(A)) ),
inference(strip,[],[t55_funct_1]) ).
fof(subgoal_1,plain,
! [A] :
( ( relation(A)
& function(A)
& one_to_one(A)
& relation_rng(A) = relation_dom(function_inverse(A)) )
=> relation_dom(A) = relation_rng(function_inverse(A)) ),
inference(strip,[],[t55_funct_1]) ).
fof(negate_0_0,plain,
~ ! [A] :
( ( relation(A)
& function(A)
& one_to_one(A) )
=> relation_rng(A) = relation_dom(function_inverse(A)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A] :
( relation_rng(A) != relation_dom(function_inverse(A))
& function(A)
& one_to_one(A)
& relation(A) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( relation_rng(skolemFOFtoCNF_A_8) != relation_dom(function_inverse(skolemFOFtoCNF_A_8))
& function(skolemFOFtoCNF_A_8)
& one_to_one(skolemFOFtoCNF_A_8)
& relation(skolemFOFtoCNF_A_8) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
relation(skolemFOFtoCNF_A_8),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A] :
( ~ relation(A)
| relation(relation_inverse(A)) ),
inference(canonicalize,[],[dt_k4_relat_1]) ).
fof(normalize_0_4,plain,
! [A] :
( ~ relation(A)
| relation(relation_inverse(A)) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [A] :
( ~ relation(A)
| ( relation_dom(A) = relation_rng(relation_inverse(A))
& relation_rng(A) = relation_dom(relation_inverse(A)) ) ),
inference(canonicalize,[],[t37_relat_1]) ).
fof(normalize_0_6,plain,
! [A] :
( ~ relation(A)
| ( relation_dom(A) = relation_rng(relation_inverse(A))
& relation_rng(A) = relation_dom(relation_inverse(A)) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A] :
( ( ~ relation(A)
| relation_dom(A) = relation_rng(relation_inverse(A)) )
& ( ~ relation(A)
| relation_rng(A) = relation_dom(relation_inverse(A)) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] :
( ~ relation(A)
| relation_dom(A) = relation_rng(relation_inverse(A)) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A] :
( ~ relation(A)
| relation_inverse(relation_inverse(A)) = A ),
inference(canonicalize,[],[involutiveness_k4_relat_1]) ).
fof(normalize_0_10,plain,
! [A] :
( ~ relation(A)
| relation_inverse(relation_inverse(A)) = A ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [A] :
( ~ function(A)
| ~ one_to_one(A)
| ~ relation(A)
| function_inverse(A) = relation_inverse(A) ),
inference(canonicalize,[],[d9_funct_1]) ).
fof(normalize_0_12,plain,
! [A] :
( ~ function(A)
| ~ one_to_one(A)
| ~ relation(A)
| function_inverse(A) = relation_inverse(A) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
function(skolemFOFtoCNF_A_8),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_14,plain,
one_to_one(skolemFOFtoCNF_A_8),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_15,plain,
relation_rng(skolemFOFtoCNF_A_8) != relation_dom(function_inverse(skolemFOFtoCNF_A_8)),
inference(conjunct,[],[normalize_0_1]) ).
cnf(refute_0_0,plain,
relation(skolemFOFtoCNF_A_8),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ relation(A)
| relation(relation_inverse(A)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ relation(skolemFOFtoCNF_A_8)
| relation(relation_inverse(skolemFOFtoCNF_A_8)) ),
inference(subst,[],[refute_0_1:[bind(A,$fot(skolemFOFtoCNF_A_8))]]) ).
cnf(refute_0_3,plain,
relation(relation_inverse(skolemFOFtoCNF_A_8)),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_A_8) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ relation(A)
| relation_dom(A) = relation_rng(relation_inverse(A)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ relation(relation_inverse(skolemFOFtoCNF_A_8))
| relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) = relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))) ),
inference(subst,[],[refute_0_4:[bind(A,$fot(relation_inverse(skolemFOFtoCNF_A_8)))]]) ).
cnf(refute_0_6,plain,
relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) = relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))),
inference(resolve,[$cnf( relation(relation_inverse(skolemFOFtoCNF_A_8)) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ relation(A)
| relation_inverse(relation_inverse(A)) = A ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ relation(skolemFOFtoCNF_A_8)
| relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)) = skolemFOFtoCNF_A_8 ),
inference(subst,[],[refute_0_7:[bind(A,$fot(skolemFOFtoCNF_A_8))]]) ).
cnf(refute_0_9,plain,
relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)) = skolemFOFtoCNF_A_8,
inference(resolve,[$cnf( relation(skolemFOFtoCNF_A_8) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))) = relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))),
introduced(tautology,[refl,[$fot(relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))))]]) ).
cnf(refute_0_11,plain,
( relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)) != skolemFOFtoCNF_A_8
| relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))) != relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)))
| relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))) = relation_rng(skolemFOFtoCNF_A_8) ),
introduced(tautology,[equality,[$cnf( $equal(relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))),relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)))) ),[1,0],$fot(skolemFOFtoCNF_A_8)]]) ).
cnf(refute_0_12,plain,
( relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)) != skolemFOFtoCNF_A_8
| relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))) = relation_rng(skolemFOFtoCNF_A_8) ),
inference(resolve,[$cnf( $equal(relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))),relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))) = relation_rng(skolemFOFtoCNF_A_8),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)),skolemFOFtoCNF_A_8) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
( relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) != relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)))
| relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))) != relation_rng(skolemFOFtoCNF_A_8)
| relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) = relation_rng(skolemFOFtoCNF_A_8) ),
introduced(tautology,[equality,[$cnf( ~ $equal(relation_dom(relation_inverse(skolemFOFtoCNF_A_8)),relation_rng(skolemFOFtoCNF_A_8)) ),[0],$fot(relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))))]]) ).
cnf(refute_0_15,plain,
( relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) != relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)))
| relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) = relation_rng(skolemFOFtoCNF_A_8) ),
inference(resolve,[$cnf( $equal(relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8))),relation_rng(skolemFOFtoCNF_A_8)) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) = relation_rng(skolemFOFtoCNF_A_8),
inference(resolve,[$cnf( $equal(relation_dom(relation_inverse(skolemFOFtoCNF_A_8)),relation_rng(relation_inverse(relation_inverse(skolemFOFtoCNF_A_8)))) )],[refute_0_6,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ function(A)
| ~ one_to_one(A)
| ~ relation(A)
| function_inverse(A) = relation_inverse(A) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_18,plain,
( ~ function(skolemFOFtoCNF_A_8)
| ~ one_to_one(skolemFOFtoCNF_A_8)
| ~ relation(skolemFOFtoCNF_A_8)
| function_inverse(skolemFOFtoCNF_A_8) = relation_inverse(skolemFOFtoCNF_A_8) ),
inference(subst,[],[refute_0_17:[bind(A,$fot(skolemFOFtoCNF_A_8))]]) ).
cnf(refute_0_19,plain,
( ~ function(skolemFOFtoCNF_A_8)
| ~ one_to_one(skolemFOFtoCNF_A_8)
| function_inverse(skolemFOFtoCNF_A_8) = relation_inverse(skolemFOFtoCNF_A_8) ),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_A_8) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
function(skolemFOFtoCNF_A_8),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_21,plain,
( ~ one_to_one(skolemFOFtoCNF_A_8)
| function_inverse(skolemFOFtoCNF_A_8) = relation_inverse(skolemFOFtoCNF_A_8) ),
inference(resolve,[$cnf( function(skolemFOFtoCNF_A_8) )],[refute_0_20,refute_0_19]) ).
cnf(refute_0_22,plain,
one_to_one(skolemFOFtoCNF_A_8),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_23,plain,
function_inverse(skolemFOFtoCNF_A_8) = relation_inverse(skolemFOFtoCNF_A_8),
inference(resolve,[$cnf( one_to_one(skolemFOFtoCNF_A_8) )],[refute_0_22,refute_0_21]) ).
cnf(refute_0_24,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_25,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_26,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( function_inverse(skolemFOFtoCNF_A_8) != relation_inverse(skolemFOFtoCNF_A_8)
| relation_inverse(skolemFOFtoCNF_A_8) = function_inverse(skolemFOFtoCNF_A_8) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(function_inverse(skolemFOFtoCNF_A_8))),bind(Y,$fot(relation_inverse(skolemFOFtoCNF_A_8)))]]) ).
cnf(refute_0_28,plain,
relation_inverse(skolemFOFtoCNF_A_8) = function_inverse(skolemFOFtoCNF_A_8),
inference(resolve,[$cnf( $equal(function_inverse(skolemFOFtoCNF_A_8),relation_inverse(skolemFOFtoCNF_A_8)) )],[refute_0_23,refute_0_27]) ).
cnf(refute_0_29,plain,
relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) = relation_dom(relation_inverse(skolemFOFtoCNF_A_8)),
introduced(tautology,[refl,[$fot(relation_dom(relation_inverse(skolemFOFtoCNF_A_8)))]]) ).
cnf(refute_0_30,plain,
( relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) != relation_dom(relation_inverse(skolemFOFtoCNF_A_8))
| relation_inverse(skolemFOFtoCNF_A_8) != function_inverse(skolemFOFtoCNF_A_8)
| relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) = relation_dom(function_inverse(skolemFOFtoCNF_A_8)) ),
introduced(tautology,[equality,[$cnf( $equal(relation_dom(relation_inverse(skolemFOFtoCNF_A_8)),relation_dom(relation_inverse(skolemFOFtoCNF_A_8))) ),[1,0],$fot(function_inverse(skolemFOFtoCNF_A_8))]]) ).
cnf(refute_0_31,plain,
( relation_inverse(skolemFOFtoCNF_A_8) != function_inverse(skolemFOFtoCNF_A_8)
| relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) = relation_dom(function_inverse(skolemFOFtoCNF_A_8)) ),
inference(resolve,[$cnf( $equal(relation_dom(relation_inverse(skolemFOFtoCNF_A_8)),relation_dom(relation_inverse(skolemFOFtoCNF_A_8))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) = relation_dom(function_inverse(skolemFOFtoCNF_A_8)),
inference(resolve,[$cnf( $equal(relation_inverse(skolemFOFtoCNF_A_8),function_inverse(skolemFOFtoCNF_A_8)) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
( relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) != relation_dom(function_inverse(skolemFOFtoCNF_A_8))
| relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) != relation_rng(skolemFOFtoCNF_A_8)
| relation_dom(function_inverse(skolemFOFtoCNF_A_8)) = relation_rng(skolemFOFtoCNF_A_8) ),
introduced(tautology,[equality,[$cnf( $equal(relation_dom(relation_inverse(skolemFOFtoCNF_A_8)),relation_rng(skolemFOFtoCNF_A_8)) ),[0],$fot(relation_dom(function_inverse(skolemFOFtoCNF_A_8)))]]) ).
cnf(refute_0_34,plain,
( relation_dom(relation_inverse(skolemFOFtoCNF_A_8)) != relation_rng(skolemFOFtoCNF_A_8)
| relation_dom(function_inverse(skolemFOFtoCNF_A_8)) = relation_rng(skolemFOFtoCNF_A_8) ),
inference(resolve,[$cnf( $equal(relation_dom(relation_inverse(skolemFOFtoCNF_A_8)),relation_dom(function_inverse(skolemFOFtoCNF_A_8))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
relation_dom(function_inverse(skolemFOFtoCNF_A_8)) = relation_rng(skolemFOFtoCNF_A_8),
inference(resolve,[$cnf( $equal(relation_dom(relation_inverse(skolemFOFtoCNF_A_8)),relation_rng(skolemFOFtoCNF_A_8)) )],[refute_0_16,refute_0_34]) ).
cnf(refute_0_36,plain,
relation_rng(skolemFOFtoCNF_A_8) != relation_dom(function_inverse(skolemFOFtoCNF_A_8)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_37,plain,
( relation_dom(function_inverse(skolemFOFtoCNF_A_8)) != relation_rng(skolemFOFtoCNF_A_8)
| relation_rng(skolemFOFtoCNF_A_8) = relation_dom(function_inverse(skolemFOFtoCNF_A_8)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(relation_dom(function_inverse(skolemFOFtoCNF_A_8)))),bind(Y,$fot(relation_rng(skolemFOFtoCNF_A_8)))]]) ).
cnf(refute_0_38,plain,
relation_dom(function_inverse(skolemFOFtoCNF_A_8)) != relation_rng(skolemFOFtoCNF_A_8),
inference(resolve,[$cnf( $equal(relation_rng(skolemFOFtoCNF_A_8),relation_dom(function_inverse(skolemFOFtoCNF_A_8))) )],[refute_0_37,refute_0_36]) ).
cnf(refute_0_39,plain,
$false,
inference(resolve,[$cnf( $equal(relation_dom(function_inverse(skolemFOFtoCNF_A_8)),relation_rng(skolemFOFtoCNF_A_8)) )],[refute_0_35,refute_0_38]) ).
fof(negate_1_0,plain,
~ ! [A] :
( ( relation(A)
& function(A)
& one_to_one(A)
& relation_rng(A) = relation_dom(function_inverse(A)) )
=> relation_dom(A) = relation_rng(function_inverse(A)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [A] :
( ~ relation(A)
| relation(relation_inverse(A)) ),
inference(canonicalize,[],[dt_k4_relat_1]) ).
fof(normalize_1_1,plain,
! [A] :
( ~ relation(A)
| relation(relation_inverse(A)) ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
? [A] :
( relation_dom(A) != relation_rng(function_inverse(A))
& relation_rng(A) = relation_dom(function_inverse(A))
& function(A)
& one_to_one(A)
& relation(A) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_3,plain,
( relation_dom(skolemFOFtoCNF_A_9) != relation_rng(function_inverse(skolemFOFtoCNF_A_9))
& relation_rng(skolemFOFtoCNF_A_9) = relation_dom(function_inverse(skolemFOFtoCNF_A_9))
& function(skolemFOFtoCNF_A_9)
& one_to_one(skolemFOFtoCNF_A_9)
& relation(skolemFOFtoCNF_A_9) ),
inference(skolemize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
relation(skolemFOFtoCNF_A_9),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [A] :
( ~ relation(A)
| ( relation_dom(A) = relation_rng(relation_inverse(A))
& relation_rng(A) = relation_dom(relation_inverse(A)) ) ),
inference(canonicalize,[],[t37_relat_1]) ).
fof(normalize_1_6,plain,
! [A] :
( ~ relation(A)
| ( relation_dom(A) = relation_rng(relation_inverse(A))
& relation_rng(A) = relation_dom(relation_inverse(A)) ) ),
inference(specialize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [A] :
( ( ~ relation(A)
| relation_dom(A) = relation_rng(relation_inverse(A)) )
& ( ~ relation(A)
| relation_rng(A) = relation_dom(relation_inverse(A)) ) ),
inference(clausify,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
! [A] :
( ~ relation(A)
| relation_rng(A) = relation_dom(relation_inverse(A)) ),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [A] :
( ~ relation(A)
| relation_inverse(relation_inverse(A)) = A ),
inference(canonicalize,[],[involutiveness_k4_relat_1]) ).
fof(normalize_1_10,plain,
! [A] :
( ~ relation(A)
| relation_inverse(relation_inverse(A)) = A ),
inference(specialize,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [A] :
( ~ function(A)
| ~ one_to_one(A)
| ~ relation(A)
| function_inverse(A) = relation_inverse(A) ),
inference(canonicalize,[],[d9_funct_1]) ).
fof(normalize_1_12,plain,
! [A] :
( ~ function(A)
| ~ one_to_one(A)
| ~ relation(A)
| function_inverse(A) = relation_inverse(A) ),
inference(specialize,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
function(skolemFOFtoCNF_A_9),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_14,plain,
one_to_one(skolemFOFtoCNF_A_9),
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_15,plain,
relation_dom(skolemFOFtoCNF_A_9) != relation_rng(function_inverse(skolemFOFtoCNF_A_9)),
inference(conjunct,[],[normalize_1_3]) ).
cnf(refute_1_0,plain,
( ~ relation(A)
| relation(relation_inverse(A)) ),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))]]) ).
cnf(refute_1_2,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))]]) ).
cnf(refute_1_3,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))]]) ).
cnf(refute_1_4,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))]]) ).
cnf(refute_1_5,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))]]) ).
cnf(refute_1_6,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))]]) ).
cnf(refute_1_7,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))]]) ).
cnf(refute_1_8,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))]]) ).
cnf(refute_1_9,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))]]) ).
cnf(refute_1_10,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))]]) ).
cnf(refute_1_11,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))]]) ).
cnf(refute_1_12,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))
| relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))]]) ).
cnf(refute_1_13,plain,
( ~ relation(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))
| relation(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))]]) ).
cnf(refute_1_14,plain,
( ~ relation(relation_inverse(skolemFOFtoCNF_A_9))
| relation(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(relation_inverse(skolemFOFtoCNF_A_9)))]]) ).
cnf(refute_1_15,plain,
relation(skolemFOFtoCNF_A_9),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_16,plain,
( ~ relation(skolemFOFtoCNF_A_9)
| relation(relation_inverse(skolemFOFtoCNF_A_9)) ),
inference(subst,[],[refute_1_0:[bind(A,$fot(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_17,plain,
relation(relation_inverse(skolemFOFtoCNF_A_9)),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_A_9) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
relation(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))),
inference(resolve,[$cnf( relation(relation_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_17,refute_1_14]) ).
cnf(refute_1_19,plain,
relation(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_18,refute_1_13]) ).
cnf(refute_1_20,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) )],[refute_1_19,refute_1_12]) ).
cnf(refute_1_21,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) )],[refute_1_20,refute_1_11]) ).
cnf(refute_1_22,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) )],[refute_1_21,refute_1_10]) ).
cnf(refute_1_23,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) )],[refute_1_22,refute_1_9]) ).
cnf(refute_1_24,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) )],[refute_1_23,refute_1_8]) ).
cnf(refute_1_25,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) )],[refute_1_24,refute_1_7]) ).
cnf(refute_1_26,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) )],[refute_1_25,refute_1_6]) ).
cnf(refute_1_27,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) )],[refute_1_26,refute_1_5]) ).
cnf(refute_1_28,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) )],[refute_1_27,refute_1_4]) ).
cnf(refute_1_29,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) )],[refute_1_28,refute_1_3]) ).
cnf(refute_1_30,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) )],[refute_1_29,refute_1_2]) ).
cnf(refute_1_31,plain,
relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) )],[refute_1_30,refute_1_1]) ).
cnf(refute_1_32,plain,
( ~ relation(A)
| relation_rng(A) = relation_dom(relation_inverse(A)) ),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_33,plain,
( ~ relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))
| relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) ),
inference(subst,[],[refute_1_32:[bind(A,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))]]) ).
cnf(refute_1_34,plain,
relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))),
inference(resolve,[$cnf( relation(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) )],[refute_1_31,refute_1_33]) ).
cnf(refute_1_35,plain,
( ~ relation(A)
| relation_inverse(relation_inverse(A)) = A ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_36,plain,
( ~ relation(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) = skolemFOFtoCNF_A_9 ),
inference(subst,[],[refute_1_35:[bind(A,$fot(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_37,plain,
relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) = skolemFOFtoCNF_A_9,
inference(resolve,[$cnf( relation(skolemFOFtoCNF_A_9) )],[refute_1_15,refute_1_36]) ).
cnf(refute_1_38,plain,
relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) = relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))]]) ).
cnf(refute_1_39,plain,
( relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) != relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))
| relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) = relation_inverse(skolemFOFtoCNF_A_9) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))),relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) ),[1,0],$fot(skolemFOFtoCNF_A_9)]]) ).
cnf(refute_1_40,plain,
( relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) = relation_inverse(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))),relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) )],[refute_1_38,refute_1_39]) ).
cnf(refute_1_41,plain,
relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) = relation_inverse(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),skolemFOFtoCNF_A_9) )],[refute_1_37,refute_1_40]) ).
cnf(refute_1_42,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))]]) ).
cnf(refute_1_43,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))
| relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) ),[1,0],$fot(relation_inverse(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_44,plain,
( relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) )],[refute_1_42,refute_1_43]) ).
cnf(refute_1_45,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))),relation_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_41,refute_1_44]) ).
cnf(refute_1_46,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_47,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_48,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_46,refute_1_47]) ).
cnf(refute_1_49,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_50,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_48,refute_1_49]) ).
cnf(refute_1_51,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) != relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))
| relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) = skolemFOFtoCNF_A_9 ),
inference(subst,[],[refute_1_50:[bind(X,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))),bind(Y,$fot(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),bind(Z,$fot(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_52,plain,
( relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) = skolemFOFtoCNF_A_9 ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_45,refute_1_51]) ).
cnf(refute_1_53,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) = skolemFOFtoCNF_A_9,
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),skolemFOFtoCNF_A_9) )],[refute_1_37,refute_1_52]) ).
cnf(refute_1_54,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))]]) ).
cnf(refute_1_55,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) ),[1,0],$fot(skolemFOFtoCNF_A_9)]]) ).
cnf(refute_1_56,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) )],[refute_1_54,refute_1_55]) ).
cnf(refute_1_57,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) = relation_inverse(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),skolemFOFtoCNF_A_9) )],[refute_1_53,refute_1_56]) ).
cnf(refute_1_58,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))]]) ).
cnf(refute_1_59,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) ),[1,0],$fot(relation_inverse(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_60,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) )],[refute_1_58,refute_1_59]) ).
cnf(refute_1_61,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))),relation_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_57,refute_1_60]) ).
cnf(refute_1_62,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) != relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))
| relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) = skolemFOFtoCNF_A_9 ),
inference(subst,[],[refute_1_50:[bind(X,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))),bind(Y,$fot(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),bind(Z,$fot(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_63,plain,
( relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) = skolemFOFtoCNF_A_9 ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))),relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_61,refute_1_62]) ).
cnf(refute_1_64,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) = skolemFOFtoCNF_A_9,
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),skolemFOFtoCNF_A_9) )],[refute_1_37,refute_1_63]) ).
cnf(refute_1_65,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))]]) ).
cnf(refute_1_66,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) ),[1,0],$fot(skolemFOFtoCNF_A_9)]]) ).
cnf(refute_1_67,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) )],[refute_1_65,refute_1_66]) ).
cnf(refute_1_68,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) = relation_inverse(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))),skolemFOFtoCNF_A_9) )],[refute_1_64,refute_1_67]) ).
cnf(refute_1_69,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))]]) ).
cnf(refute_1_70,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) ),[1,0],$fot(relation_inverse(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_71,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) )],[refute_1_69,refute_1_70]) ).
cnf(refute_1_72,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))),relation_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_68,refute_1_71]) ).
cnf(refute_1_73,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) != relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))
| relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) = skolemFOFtoCNF_A_9 ),
inference(subst,[],[refute_1_50:[bind(X,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))),bind(Y,$fot(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),bind(Z,$fot(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_74,plain,
( relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) = skolemFOFtoCNF_A_9 ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))),relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_72,refute_1_73]) ).
cnf(refute_1_75,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) = skolemFOFtoCNF_A_9,
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),skolemFOFtoCNF_A_9) )],[refute_1_37,refute_1_74]) ).
cnf(refute_1_76,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))]]) ).
cnf(refute_1_77,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) ),[1,0],$fot(skolemFOFtoCNF_A_9)]]) ).
cnf(refute_1_78,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) )],[refute_1_76,refute_1_77]) ).
cnf(refute_1_79,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) = relation_inverse(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))),skolemFOFtoCNF_A_9) )],[refute_1_75,refute_1_78]) ).
cnf(refute_1_80,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))]]) ).
cnf(refute_1_81,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) ),[1,0],$fot(relation_inverse(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_82,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) )],[refute_1_80,refute_1_81]) ).
cnf(refute_1_83,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))),relation_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_79,refute_1_82]) ).
cnf(refute_1_84,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) != relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))
| relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) = skolemFOFtoCNF_A_9 ),
inference(subst,[],[refute_1_50:[bind(X,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))),bind(Y,$fot(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),bind(Z,$fot(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_85,plain,
( relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) = skolemFOFtoCNF_A_9 ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))),relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_83,refute_1_84]) ).
cnf(refute_1_86,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) = skolemFOFtoCNF_A_9,
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),skolemFOFtoCNF_A_9) )],[refute_1_37,refute_1_85]) ).
cnf(refute_1_87,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))]]) ).
cnf(refute_1_88,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) ),[1,0],$fot(skolemFOFtoCNF_A_9)]]) ).
cnf(refute_1_89,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) )],[refute_1_87,refute_1_88]) ).
cnf(refute_1_90,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) = relation_inverse(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))),skolemFOFtoCNF_A_9) )],[refute_1_86,refute_1_89]) ).
cnf(refute_1_91,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))]]) ).
cnf(refute_1_92,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) ),[1,0],$fot(relation_inverse(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_93,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) )],[refute_1_91,refute_1_92]) ).
cnf(refute_1_94,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))),relation_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_90,refute_1_93]) ).
cnf(refute_1_95,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) != relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))
| relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) = skolemFOFtoCNF_A_9 ),
inference(subst,[],[refute_1_50:[bind(X,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))),bind(Y,$fot(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),bind(Z,$fot(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_96,plain,
( relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) = skolemFOFtoCNF_A_9 ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))),relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_94,refute_1_95]) ).
cnf(refute_1_97,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) = skolemFOFtoCNF_A_9,
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),skolemFOFtoCNF_A_9) )],[refute_1_37,refute_1_96]) ).
cnf(refute_1_98,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))]]) ).
cnf(refute_1_99,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) ),[1,0],$fot(skolemFOFtoCNF_A_9)]]) ).
cnf(refute_1_100,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) )],[refute_1_98,refute_1_99]) ).
cnf(refute_1_101,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) = relation_inverse(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))),skolemFOFtoCNF_A_9) )],[refute_1_97,refute_1_100]) ).
cnf(refute_1_102,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))]]) ).
cnf(refute_1_103,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) ),[1,0],$fot(relation_inverse(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_104,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) )],[refute_1_102,refute_1_103]) ).
cnf(refute_1_105,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))),relation_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_101,refute_1_104]) ).
cnf(refute_1_106,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) != relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))
| relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) = skolemFOFtoCNF_A_9 ),
inference(subst,[],[refute_1_50:[bind(X,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),bind(Y,$fot(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),bind(Z,$fot(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_107,plain,
( relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) = skolemFOFtoCNF_A_9 ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))),relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_105,refute_1_106]) ).
cnf(refute_1_108,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) = skolemFOFtoCNF_A_9,
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),skolemFOFtoCNF_A_9) )],[refute_1_37,refute_1_107]) ).
cnf(refute_1_109,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))]]) ).
cnf(refute_1_110,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) ),[1,0],$fot(skolemFOFtoCNF_A_9)]]) ).
cnf(refute_1_111,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) = relation_inverse(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) )],[refute_1_109,refute_1_110]) ).
cnf(refute_1_112,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) = relation_inverse(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))),skolemFOFtoCNF_A_9) )],[refute_1_108,refute_1_111]) ).
cnf(refute_1_113,plain,
relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),
introduced(tautology,[refl,[$fot(relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))]]) ).
cnf(refute_1_114,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) != relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))
| relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) ),
introduced(tautology,[equality,[$cnf( $equal(relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) ),[1,0],$fot(relation_inverse(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_115,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) ),
inference(resolve,[$cnf( $equal(relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) )],[refute_1_113,refute_1_114]) ).
cnf(refute_1_116,plain,
relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = relation_rng(relation_inverse(skolemFOFtoCNF_A_9)),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))),relation_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_112,refute_1_115]) ).
cnf(refute_1_117,plain,
( relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) != relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))
| relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) != relation_rng(relation_inverse(skolemFOFtoCNF_A_9))
| relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) = relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))) ),[0],$fot(relation_rng(relation_inverse(skolemFOFtoCNF_A_9)))]]) ).
cnf(refute_1_118,plain,
( relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) != relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))
| relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) = relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) ),
inference(resolve,[$cnf( $equal(relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),relation_rng(relation_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_116,refute_1_117]) ).
cnf(refute_1_119,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),
introduced(tautology,[refl,[$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))]]) ).
cnf(refute_1_120,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) != relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
introduced(tautology,[equality,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) ),[1,0],$fot(relation_inverse(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_121,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) )],[refute_1_119,refute_1_120]) ).
cnf(refute_1_122,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))),relation_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_112,refute_1_121]) ).
cnf(refute_1_123,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) != relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))
| relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = skolemFOFtoCNF_A_9 ),
inference(subst,[],[refute_1_50:[bind(X,$fot(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))),bind(Y,$fot(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))),bind(Z,$fot(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_124,plain,
( relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)) != skolemFOFtoCNF_A_9
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = skolemFOFtoCNF_A_9 ),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_122,refute_1_123]) ).
cnf(refute_1_125,plain,
relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) = skolemFOFtoCNF_A_9,
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)),skolemFOFtoCNF_A_9) )],[refute_1_37,refute_1_124]) ).
cnf(refute_1_126,plain,
relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) = relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))),
introduced(tautology,[refl,[$fot(relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))))]]) ).
cnf(refute_1_127,plain,
( relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) != relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))
| relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) != skolemFOFtoCNF_A_9
| relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) = relation_dom(skolemFOFtoCNF_A_9) ),
introduced(tautology,[equality,[$cnf( $equal(relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))),relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))) ),[1,0],$fot(skolemFOFtoCNF_A_9)]]) ).
cnf(refute_1_128,plain,
( relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) != skolemFOFtoCNF_A_9
| relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) = relation_dom(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))),relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))) )],[refute_1_126,refute_1_127]) ).
cnf(refute_1_129,plain,
relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) = relation_dom(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),skolemFOFtoCNF_A_9) )],[refute_1_125,refute_1_128]) ).
cnf(refute_1_130,plain,
( relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))) != relation_dom(skolemFOFtoCNF_A_9)
| relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) != relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))
| relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) = relation_dom(skolemFOFtoCNF_A_9) ),
introduced(tautology,[equality,[$cnf( $equal(relation_rng(relation_inverse(skolemFOFtoCNF_A_9)),relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))) ),[1],$fot(relation_dom(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_131,plain,
( relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) != relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))
| relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) = relation_dom(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9))))))))))))))))),relation_dom(skolemFOFtoCNF_A_9)) )],[refute_1_129,refute_1_130]) ).
cnf(refute_1_132,plain,
( relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))) != relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))
| relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) = relation_dom(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_rng(relation_inverse(skolemFOFtoCNF_A_9)),relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))) )],[refute_1_118,refute_1_131]) ).
cnf(refute_1_133,plain,
relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) = relation_dom(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_rng(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))),relation_dom(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(relation_inverse(skolemFOFtoCNF_A_9)))))))))))))))))) )],[refute_1_34,refute_1_132]) ).
cnf(refute_1_134,plain,
( ~ function(A)
| ~ one_to_one(A)
| ~ relation(A)
| function_inverse(A) = relation_inverse(A) ),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_135,plain,
( ~ function(skolemFOFtoCNF_A_9)
| ~ one_to_one(skolemFOFtoCNF_A_9)
| ~ relation(skolemFOFtoCNF_A_9)
| function_inverse(skolemFOFtoCNF_A_9) = relation_inverse(skolemFOFtoCNF_A_9) ),
inference(subst,[],[refute_1_134:[bind(A,$fot(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_136,plain,
( ~ function(skolemFOFtoCNF_A_9)
| ~ one_to_one(skolemFOFtoCNF_A_9)
| function_inverse(skolemFOFtoCNF_A_9) = relation_inverse(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( relation(skolemFOFtoCNF_A_9) )],[refute_1_15,refute_1_135]) ).
cnf(refute_1_137,plain,
function(skolemFOFtoCNF_A_9),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_138,plain,
( ~ one_to_one(skolemFOFtoCNF_A_9)
| function_inverse(skolemFOFtoCNF_A_9) = relation_inverse(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( function(skolemFOFtoCNF_A_9) )],[refute_1_137,refute_1_136]) ).
cnf(refute_1_139,plain,
one_to_one(skolemFOFtoCNF_A_9),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_140,plain,
function_inverse(skolemFOFtoCNF_A_9) = relation_inverse(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( one_to_one(skolemFOFtoCNF_A_9) )],[refute_1_139,refute_1_138]) ).
cnf(refute_1_141,plain,
( function_inverse(skolemFOFtoCNF_A_9) != relation_inverse(skolemFOFtoCNF_A_9)
| relation_inverse(skolemFOFtoCNF_A_9) = function_inverse(skolemFOFtoCNF_A_9) ),
inference(subst,[],[refute_1_48:[bind(X,$fot(function_inverse(skolemFOFtoCNF_A_9))),bind(Y,$fot(relation_inverse(skolemFOFtoCNF_A_9)))]]) ).
cnf(refute_1_142,plain,
relation_inverse(skolemFOFtoCNF_A_9) = function_inverse(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(function_inverse(skolemFOFtoCNF_A_9),relation_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_140,refute_1_141]) ).
cnf(refute_1_143,plain,
relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) = relation_rng(relation_inverse(skolemFOFtoCNF_A_9)),
introduced(tautology,[refl,[$fot(relation_rng(relation_inverse(skolemFOFtoCNF_A_9)))]]) ).
cnf(refute_1_144,plain,
( relation_inverse(skolemFOFtoCNF_A_9) != function_inverse(skolemFOFtoCNF_A_9)
| relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) != relation_rng(relation_inverse(skolemFOFtoCNF_A_9))
| relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) = relation_rng(function_inverse(skolemFOFtoCNF_A_9)) ),
introduced(tautology,[equality,[$cnf( $equal(relation_rng(relation_inverse(skolemFOFtoCNF_A_9)),relation_rng(relation_inverse(skolemFOFtoCNF_A_9))) ),[1,0],$fot(function_inverse(skolemFOFtoCNF_A_9))]]) ).
cnf(refute_1_145,plain,
( relation_inverse(skolemFOFtoCNF_A_9) != function_inverse(skolemFOFtoCNF_A_9)
| relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) = relation_rng(function_inverse(skolemFOFtoCNF_A_9)) ),
inference(resolve,[$cnf( $equal(relation_rng(relation_inverse(skolemFOFtoCNF_A_9)),relation_rng(relation_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_143,refute_1_144]) ).
cnf(refute_1_146,plain,
relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) = relation_rng(function_inverse(skolemFOFtoCNF_A_9)),
inference(resolve,[$cnf( $equal(relation_inverse(skolemFOFtoCNF_A_9),function_inverse(skolemFOFtoCNF_A_9)) )],[refute_1_142,refute_1_145]) ).
cnf(refute_1_147,plain,
( relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) != relation_dom(skolemFOFtoCNF_A_9)
| relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) != relation_rng(function_inverse(skolemFOFtoCNF_A_9))
| relation_rng(function_inverse(skolemFOFtoCNF_A_9)) = relation_dom(skolemFOFtoCNF_A_9) ),
introduced(tautology,[equality,[$cnf( $equal(relation_rng(relation_inverse(skolemFOFtoCNF_A_9)),relation_dom(skolemFOFtoCNF_A_9)) ),[0],$fot(relation_rng(function_inverse(skolemFOFtoCNF_A_9)))]]) ).
cnf(refute_1_148,plain,
( relation_rng(relation_inverse(skolemFOFtoCNF_A_9)) != relation_dom(skolemFOFtoCNF_A_9)
| relation_rng(function_inverse(skolemFOFtoCNF_A_9)) = relation_dom(skolemFOFtoCNF_A_9) ),
inference(resolve,[$cnf( $equal(relation_rng(relation_inverse(skolemFOFtoCNF_A_9)),relation_rng(function_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_146,refute_1_147]) ).
cnf(refute_1_149,plain,
relation_rng(function_inverse(skolemFOFtoCNF_A_9)) = relation_dom(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_rng(relation_inverse(skolemFOFtoCNF_A_9)),relation_dom(skolemFOFtoCNF_A_9)) )],[refute_1_133,refute_1_148]) ).
cnf(refute_1_150,plain,
relation_dom(skolemFOFtoCNF_A_9) != relation_rng(function_inverse(skolemFOFtoCNF_A_9)),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_151,plain,
( relation_rng(function_inverse(skolemFOFtoCNF_A_9)) != relation_dom(skolemFOFtoCNF_A_9)
| relation_dom(skolemFOFtoCNF_A_9) = relation_rng(function_inverse(skolemFOFtoCNF_A_9)) ),
inference(subst,[],[refute_1_48:[bind(X,$fot(relation_rng(function_inverse(skolemFOFtoCNF_A_9)))),bind(Y,$fot(relation_dom(skolemFOFtoCNF_A_9)))]]) ).
cnf(refute_1_152,plain,
relation_rng(function_inverse(skolemFOFtoCNF_A_9)) != relation_dom(skolemFOFtoCNF_A_9),
inference(resolve,[$cnf( $equal(relation_dom(skolemFOFtoCNF_A_9),relation_rng(function_inverse(skolemFOFtoCNF_A_9))) )],[refute_1_151,refute_1_150]) ).
cnf(refute_1_153,plain,
$false,
inference(resolve,[$cnf( $equal(relation_rng(function_inverse(skolemFOFtoCNF_A_9)),relation_dom(skolemFOFtoCNF_A_9)) )],[refute_1_149,refute_1_152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 18:56:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.24/6.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.24/6.45
% 6.24/6.45 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.24/6.49
%------------------------------------------------------------------------------