TSTP Solution File: SWV158+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV158+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 : Wed Jul 20 20:30:19 EDT 2022
% Result : Theorem 0.39s 0.59s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 44
% Syntax : Number of formulae : 120 ( 56 unt; 0 def)
% Number of atoms : 269 ( 224 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 247 ( 98 ~; 91 |; 45 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 17 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_norm_0008,conjecture,
( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& ! [A] :
( ( leq(n0,A)
& leq(A,pred(pv47)) )
=> a_select3(q,pv10,A) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
& ! [B] :
( ( leq(n0,B)
& leq(B,pred(pv10)) )
=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) )
=> ! [C] :
( ( leq(n0,C)
& leq(C,pv47) )
=> ( pv47 = C
=> divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,C)),minus(a_select2(x,pv10),a_select2(mu,C))),tptp_minus_2),times(a_select2(sigma,C),a_select2(sigma,C)))),a_select2(rho,C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ) ) ).
fof(subgoal_0,plain,
( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& ! [A] :
( ( leq(n0,A)
& leq(A,pred(pv47)) )
=> a_select3(q,pv10,A) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
& ! [B] :
( ( leq(n0,B)
& leq(B,pred(pv10)) )
=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) )
=> ! [C] :
( ( leq(n0,C)
& leq(C,pv47)
& pv47 = C )
=> divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,C)),minus(a_select2(x,pv10),a_select2(mu,C))),tptp_minus_2),times(a_select2(sigma,C),a_select2(sigma,C)))),a_select2(rho,C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ),
inference(strip,[],[cl5_nebula_norm_0008]) ).
fof(negate_0_0,plain,
~ ( ( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& ! [A] :
( ( leq(n0,A)
& leq(A,pred(pv47)) )
=> a_select3(q,pv10,A) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
& ! [B] :
( ( leq(n0,B)
& leq(B,pred(pv10)) )
=> sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) )
=> ! [C] :
( ( leq(n0,C)
& leq(C,pv47)
& pv47 = C )
=> divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,C)),minus(a_select2(x,pv10),a_select2(mu,C))),tptp_minus_2),times(a_select2(sigma,C),a_select2(sigma,C)))),a_select2(rho,C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
& leq(n0,pv10)
& leq(n0,pv47)
& leq(pv10,n135299)
& leq(pv47,n4)
& ? [C] :
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,C)),minus(a_select2(x,pv10),a_select2(mu,C))),tptp_minus_2),times(a_select2(sigma,C),a_select2(sigma,C)))),a_select2(rho,C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
& pv47 = C
& leq(C,pv47)
& leq(n0,C) )
& ! [A] :
( ~ leq(A,pred(pv47))
| ~ leq(n0,A)
| a_select3(q,pv10,A) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,A)),minus(a_select2(x,pv10),a_select2(mu,A))),tptp_minus_2),times(a_select2(sigma,A),a_select2(sigma,A)))),a_select2(rho,A)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,A))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )
& ! [B] :
( ~ leq(B,pred(pv10))
| ~ leq(n0,B)
| sum(n0,n4,a_select3(q,B,tptp_sum_index)) = n1 ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
? [C] :
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,C)),minus(a_select2(x,pv10),a_select2(mu,C))),tptp_minus_2),times(a_select2(sigma,C),a_select2(sigma,C)))),a_select2(rho,C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
& pv47 = C
& leq(C,pv47)
& leq(n0,C) ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
& pv47 = skolemFOFtoCNF_C
& leq(n0,skolemFOFtoCNF_C)
& leq(skolemFOFtoCNF_C,pv47) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
pv47 = skolemFOFtoCNF_C,
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( pv84 != sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))
| sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))) = pv84 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(pv84)),bind(Y,$fot(sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))]]) ).
cnf(refute_0_6,plain,
sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))) = pv84,
inference(resolve,[$cnf( $equal(pv84,sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),
introduced(tautology,[refl,[$fot(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))]]) ).
cnf(refute_0_8,plain,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
| sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))) != pv84
| divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))) ),[1,1],$fot(pv84)]]) ).
cnf(refute_0_9,plain,
( sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))) != pv84
| divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) ),
inference(resolve,[$cnf( $equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),
inference(resolve,[$cnf( $equal(sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))),pv84) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
pv47 = skolemFOFtoCNF_C,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_12,plain,
( pv47 != skolemFOFtoCNF_C
| skolemFOFtoCNF_C = pv47 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(pv47)),bind(Y,$fot(skolemFOFtoCNF_C))]]) ).
cnf(refute_0_13,plain,
skolemFOFtoCNF_C = pv47,
inference(resolve,[$cnf( $equal(pv47,skolemFOFtoCNF_C) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
a_select2(sigma,skolemFOFtoCNF_C) = a_select2(sigma,skolemFOFtoCNF_C),
introduced(tautology,[refl,[$fot(a_select2(sigma,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_15,plain,
( a_select2(sigma,skolemFOFtoCNF_C) != a_select2(sigma,skolemFOFtoCNF_C)
| skolemFOFtoCNF_C != pv47
| a_select2(sigma,skolemFOFtoCNF_C) = a_select2(sigma,pv47) ),
introduced(tautology,[equality,[$cnf( $equal(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) ),[1,1],$fot(pv47)]]) ).
cnf(refute_0_16,plain,
( skolemFOFtoCNF_C != pv47
| a_select2(sigma,skolemFOFtoCNF_C) = a_select2(sigma,pv47) ),
inference(resolve,[$cnf( $equal(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
a_select2(sigma,skolemFOFtoCNF_C) = a_select2(sigma,pv47),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C,pv47) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)) = times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)),
introduced(tautology,[refl,[$fot(times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_19,plain,
( a_select2(sigma,skolemFOFtoCNF_C) != a_select2(sigma,pv47)
| times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)) != times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))
| times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)) = times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)) ),
introduced(tautology,[equality,[$cnf( $equal(times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) ),[1,1],$fot(a_select2(sigma,pv47))]]) ).
cnf(refute_0_20,plain,
( a_select2(sigma,skolemFOFtoCNF_C) != a_select2(sigma,pv47)
| times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)) = times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)) ),
inference(resolve,[$cnf( $equal(times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)) = times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)),
inference(resolve,[$cnf( $equal(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,pv47)) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),
introduced(tautology,[refl,[$fot(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_23,plain,
( divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) != divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)))
| times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)) != times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))
| divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)))) ),[1,1],$fot(times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)))]]) ).
cnf(refute_0_24,plain,
( times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)) != times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))
| divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))) ),
inference(resolve,[$cnf( $equal(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),
inference(resolve,[$cnf( $equal(times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
a_select2(rho,skolemFOFtoCNF_C) = a_select2(rho,skolemFOFtoCNF_C),
introduced(tautology,[refl,[$fot(a_select2(rho,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_27,plain,
( a_select2(rho,skolemFOFtoCNF_C) != a_select2(rho,skolemFOFtoCNF_C)
| skolemFOFtoCNF_C != pv47
| a_select2(rho,skolemFOFtoCNF_C) = a_select2(rho,pv47) ),
introduced(tautology,[equality,[$cnf( $equal(a_select2(rho,skolemFOFtoCNF_C),a_select2(rho,skolemFOFtoCNF_C)) ),[1,1],$fot(pv47)]]) ).
cnf(refute_0_28,plain,
( skolemFOFtoCNF_C != pv47
| a_select2(rho,skolemFOFtoCNF_C) = a_select2(rho,pv47) ),
inference(resolve,[$cnf( $equal(a_select2(rho,skolemFOFtoCNF_C),a_select2(rho,skolemFOFtoCNF_C)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
a_select2(rho,skolemFOFtoCNF_C) = a_select2(rho,pv47),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C,pv47) )],[refute_0_13,refute_0_28]) ).
cnf(refute_0_30,plain,
times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)),
introduced(tautology,[refl,[$fot(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_31,plain,
( a_select2(rho,skolemFOFtoCNF_C) != a_select2(rho,pv47)
| times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)) != times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C))
| times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)) ),
introduced(tautology,[equality,[$cnf( $equal(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)),times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C))) ),[1,1],$fot(a_select2(rho,pv47))]]) ).
cnf(refute_0_32,plain,
( a_select2(rho,skolemFOFtoCNF_C) != a_select2(rho,pv47)
| times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)) ),
inference(resolve,[$cnf( $equal(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)),times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),
inference(resolve,[$cnf( $equal(a_select2(rho,skolemFOFtoCNF_C),a_select2(rho,pv47)) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)),
introduced(tautology,[refl,[$fot(times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_35,plain,
( a_select2(sigma,skolemFOFtoCNF_C) != a_select2(sigma,pv47)
| times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)) != times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C))
| times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,pv47),a_select2(sigma,pv47)) ),
introduced(tautology,[equality,[$cnf( $equal(times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)),times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C))) ),[1,1],$fot(a_select2(sigma,pv47))]]) ).
cnf(refute_0_36,plain,
( a_select2(sigma,skolemFOFtoCNF_C) != a_select2(sigma,pv47)
| times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,pv47),a_select2(sigma,pv47)) ),
inference(resolve,[$cnf( $equal(times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)),times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,pv47),a_select2(sigma,pv47)),
inference(resolve,[$cnf( $equal(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,pv47)) )],[refute_0_17,refute_0_36]) ).
cnf(refute_0_38,plain,
times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)),
introduced(tautology,[refl,[$fot(times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_39,plain,
( a_select2(sigma,skolemFOFtoCNF_C) != a_select2(sigma,pv47)
| times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) != times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))
| times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( $equal(times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) ),[1,0],$fot(a_select2(sigma,pv47))]]) ).
cnf(refute_0_40,plain,
( a_select2(sigma,skolemFOFtoCNF_C) != a_select2(sigma,pv47)
| times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( $equal(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,pv47)) )],[refute_0_17,refute_0_40]) ).
cnf(refute_0_42,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_43,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_42]) ).
cnf(refute_0_44,plain,
( times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)) != times(a_select2(sigma,pv47),a_select2(sigma,pv47))
| times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) != times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C))
| times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,pv47),a_select2(sigma,pv47)) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),bind(Y,$fot(times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)))),bind(Z,$fot(times(a_select2(sigma,pv47),a_select2(sigma,pv47))))]]) ).
cnf(refute_0_45,plain,
( times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)) != times(a_select2(sigma,pv47),a_select2(sigma,pv47))
| times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,pv47),a_select2(sigma,pv47)) ),
inference(resolve,[$cnf( $equal(times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)),times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C))) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) = times(a_select2(sigma,pv47),a_select2(sigma,pv47)),
inference(resolve,[$cnf( $equal(times(a_select2(sigma,pv47),a_select2(sigma,skolemFOFtoCNF_C)),times(a_select2(sigma,pv47),a_select2(sigma,pv47))) )],[refute_0_37,refute_0_45]) ).
cnf(refute_0_47,plain,
divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))),
introduced(tautology,[refl,[$fot(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_48,plain,
( divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) != divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))
| times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) != times(a_select2(sigma,pv47),a_select2(sigma,pv47))
| divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))),divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) ),[1,1],$fot(times(a_select2(sigma,pv47),a_select2(sigma,pv47)))]]) ).
cnf(refute_0_49,plain,
( times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)) != times(a_select2(sigma,pv47),a_select2(sigma,pv47))
| divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47))) ),
inference(resolve,[$cnf( $equal(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))),divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47))),
inference(resolve,[$cnf( $equal(times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)),times(a_select2(sigma,pv47),a_select2(sigma,pv47))) )],[refute_0_46,refute_0_49]) ).
cnf(refute_0_51,plain,
a_select2(mu,skolemFOFtoCNF_C) = a_select2(mu,skolemFOFtoCNF_C),
introduced(tautology,[refl,[$fot(a_select2(mu,skolemFOFtoCNF_C))]]) ).
cnf(refute_0_52,plain,
( a_select2(mu,skolemFOFtoCNF_C) != a_select2(mu,skolemFOFtoCNF_C)
| skolemFOFtoCNF_C != pv47
| a_select2(mu,skolemFOFtoCNF_C) = a_select2(mu,pv47) ),
introduced(tautology,[equality,[$cnf( $equal(a_select2(mu,skolemFOFtoCNF_C),a_select2(mu,skolemFOFtoCNF_C)) ),[1,1],$fot(pv47)]]) ).
cnf(refute_0_53,plain,
( skolemFOFtoCNF_C != pv47
| a_select2(mu,skolemFOFtoCNF_C) = a_select2(mu,pv47) ),
inference(resolve,[$cnf( $equal(a_select2(mu,skolemFOFtoCNF_C),a_select2(mu,skolemFOFtoCNF_C)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
a_select2(mu,skolemFOFtoCNF_C) = a_select2(mu,pv47),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_C,pv47) )],[refute_0_13,refute_0_53]) ).
cnf(refute_0_55,plain,
minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)) = minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),
introduced(tautology,[refl,[$fot(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_56,plain,
( a_select2(mu,skolemFOFtoCNF_C) != a_select2(mu,pv47)
| minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)) != minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))
| minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)) = minus(a_select2(x,pv10),a_select2(mu,pv47)) ),
introduced(tautology,[equality,[$cnf( $equal(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) ),[1,1],$fot(a_select2(mu,pv47))]]) ).
cnf(refute_0_57,plain,
( a_select2(mu,skolemFOFtoCNF_C) != a_select2(mu,pv47)
| minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)) = minus(a_select2(x,pv10),a_select2(mu,pv47)) ),
inference(resolve,[$cnf( $equal(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)) = minus(a_select2(x,pv10),a_select2(mu,pv47)),
inference(resolve,[$cnf( $equal(a_select2(mu,skolemFOFtoCNF_C),a_select2(mu,pv47)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),
introduced(tautology,[refl,[$fot(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_60,plain,
( minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)) != minus(a_select2(x,pv10),a_select2(mu,pv47))
| times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) != times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)))
| times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))) ),
introduced(tautology,[equality,[$cnf( $equal(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)))) ),[1,1],$fot(minus(a_select2(x,pv10),a_select2(mu,pv47)))]]) ).
cnf(refute_0_61,plain,
( minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)) != minus(a_select2(x,pv10),a_select2(mu,pv47))
| times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))) ),
inference(resolve,[$cnf( $equal(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),
inference(resolve,[$cnf( $equal(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,pv47))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),
introduced(tautology,[refl,[$fot(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_64,plain,
( minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)) != minus(a_select2(x,pv10),a_select2(mu,pv47))
| times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) != times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)))
| times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) ),
introduced(tautology,[equality,[$cnf( $equal(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)))) ),[1,0],$fot(minus(a_select2(x,pv10),a_select2(mu,pv47)))]]) ).
cnf(refute_0_65,plain,
( minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)) != minus(a_select2(x,pv10),a_select2(mu,pv47))
| times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) ),
inference(resolve,[$cnf( $equal(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),
inference(resolve,[$cnf( $equal(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,pv47))) )],[refute_0_58,refute_0_65]) ).
cnf(refute_0_67,plain,
( times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) != times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47)))
| times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) != times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)))
| times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))))),bind(Y,$fot(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))))),bind(Z,$fot(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47)))))]]) ).
cnf(refute_0_68,plain,
( times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) != times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47)))
| times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))) ),
inference(resolve,[$cnf( $equal(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) = times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),
inference(resolve,[$cnf( $equal(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47)))) )],[refute_0_62,refute_0_68]) ).
cnf(refute_0_70,plain,
divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2) = divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),
introduced(tautology,[refl,[$fot(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2))]]) ).
cnf(refute_0_71,plain,
( divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2) != divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2)
| times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) != times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47)))
| divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2) = divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2) ),
introduced(tautology,[equality,[$cnf( $equal(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2)) ),[1,0],$fot(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))))]]) ).
cnf(refute_0_72,plain,
( times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))) != times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47)))
| divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2) = divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2) ),
inference(resolve,[$cnf( $equal(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2) = divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),
inference(resolve,[$cnf( $equal(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47)))) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))),
introduced(tautology,[refl,[$fot(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_75,plain,
( divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) != divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))
| divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2) != divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2)
| divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))),divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) ),[1,0],$fot(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2))]]) ).
cnf(refute_0_76,plain,
( divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2) != divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2)
| divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) ),
inference(resolve,[$cnf( $equal(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))),divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))),
inference(resolve,[$cnf( $equal(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2)) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
( divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) != divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))
| divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) != divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))
| divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47))) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))))),bind(Y,$fot(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))))),bind(Z,$fot(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))))]]) ).
cnf(refute_0_79,plain,
( divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) != divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))
| divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47))) ),
inference(resolve,[$cnf( $equal(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))),divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) = divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47))),
inference(resolve,[$cnf( $equal(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))),divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))) )],[refute_0_50,refute_0_79]) ).
cnf(refute_0_81,plain,
exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) = exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),
introduced(tautology,[refl,[$fot(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))))]]) ).
cnf(refute_0_82,plain,
( divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) != divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))
| exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) != exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))))
| exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) = exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))) ),
introduced(tautology,[equality,[$cnf( $equal(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))))) ),[1,0],$fot(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47))))]]) ).
cnf(refute_0_83,plain,
( divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))) != divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))
| exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) = exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))) ),
inference(resolve,[$cnf( $equal(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) = exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),
inference(resolve,[$cnf( $equal(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C))),divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),
introduced(tautology,[refl,[$fot(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)))]]) ).
cnf(refute_0_86,plain,
( exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) != exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47))))
| times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) != times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C))
| times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)) ),
introduced(tautology,[equality,[$cnf( $equal(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C))) ),[1,0],$fot(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))))]]) ).
cnf(refute_0_87,plain,
( exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))) != exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47))))
| times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)) ),
inference(resolve,[$cnf( $equal(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)),
inference(resolve,[$cnf( $equal(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47))))) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
( times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)) != times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47))
| times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) != times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C))
| times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)))),bind(Y,$fot(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)))),bind(Z,$fot(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47))))]]) ).
cnf(refute_0_90,plain,
( times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)) != times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47))
| times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)) ),
inference(resolve,[$cnf( $equal(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) = times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),
inference(resolve,[$cnf( $equal(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,skolemFOFtoCNF_C)),times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47))) )],[refute_0_33,refute_0_90]) ).
cnf(refute_0_92,plain,
divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),
introduced(tautology,[refl,[$fot(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))))]]) ).
cnf(refute_0_93,plain,
( divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) != divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)))
| times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) != times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47))
| divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)))) ),[1,0],$fot(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)))]]) ).
cnf(refute_0_94,plain,
( times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)) != times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47))
| divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) ),
inference(resolve,[$cnf( $equal(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),
inference(resolve,[$cnf( $equal(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47))) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
( divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) != divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)))
| divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) != divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)))
| divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))))),bind(Y,$fot(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))))),bind(Z,$fot(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)))))]]) ).
cnf(refute_0_97,plain,
( divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) != divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)))
| divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))) ),
inference(resolve,[$cnf( $equal(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C)))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) = divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),
inference(resolve,[$cnf( $equal(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)))) )],[refute_0_25,refute_0_97]) ).
cnf(refute_0_99,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),
introduced(tautology,[refl,[$fot(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))]]) ).
cnf(refute_0_100,plain,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
| divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) != divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)))
| divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ),
introduced(tautology,[equality,[$cnf( $equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))) ),[1,0],$fot(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))))]]) ).
cnf(refute_0_101,plain,
( divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))) != divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)))
| divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ),
inference(resolve,[$cnf( $equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),
inference(resolve,[$cnf( $equal(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47)))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)
| divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))
| divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))),bind(Y,$fot(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))))),bind(Z,$fot(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)))]]) ).
cnf(refute_0_104,plain,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)
| divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) ),
inference(resolve,[$cnf( $equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),
inference(resolve,[$cnf( $equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)) )],[refute_0_10,refute_0_104]) ).
cnf(refute_0_106,plain,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)
| divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)
| divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))) ),[1],$fot(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84))]]) ).
cnf(refute_0_107,plain,
( divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)
| divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) ),
inference(resolve,[$cnf( $equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),
inference(resolve,[$cnf( $equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C)),minus(a_select2(x,pv10),a_select2(mu,skolemFOFtoCNF_C))),tptp_minus_2),times(a_select2(sigma,skolemFOFtoCNF_C),a_select2(sigma,skolemFOFtoCNF_C)))),a_select2(rho,skolemFOFtoCNF_C)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,skolemFOFtoCNF_C))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))))) )],[refute_0_107,refute_0_0]) ).
cnf(refute_0_109,plain,
divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),
introduced(tautology,[refl,[$fot(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84))]]) ).
cnf(refute_0_110,plain,
$false,
inference(resolve,[$cnf( $equal(divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84),divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,pv47)),minus(a_select2(x,pv10),a_select2(mu,pv47))),tptp_minus_2),times(a_select2(sigma,pv47),a_select2(sigma,pv47)))),a_select2(rho,pv47)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,pv47))),pv84)) )],[refute_0_109,refute_0_108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SWV158+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 02:51:41 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.39/0.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.59
% 0.39/0.59 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.48/0.65
%------------------------------------------------------------------------------