TSTP Solution File: ITP018+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ITP018+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 23:58:41 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 26 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Ebinary__ieee_2Efloat__to__real__negate,axiom,
! [A_27a,A_27b,V0x_2E0] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))) ).
fof(thm_2Ebinary__ieee_2Eulp,axiom,
! [A_27t,A_27w] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) ).
fof(thm_2Ebinary__ieee_2Eneg__ulp,conjecture,
! [A_27t,A_27w] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))))) ).
fof(subgoal_0,plain,
! [A_27t,A_27w] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))))),
inference(strip,[],[thm_2Ebinary__ieee_2Eneg__ulp]) ).
fof(negate_0_0,plain,
~ ! [A_27t,A_27w] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))))),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A_27t,A_27w] : s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))))),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A_27t,A_27w] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))),
inference(canonicalize,[],[thm_2Ebinary__ieee_2Eulp]) ).
fof(normalize_0_3,plain,
! [A_27t,A_27w] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A_27a,A_27b,V0x_2E0] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))),
inference(canonicalize,[],[thm_2Ebinary__ieee_2Efloat__to__real__negate]) ).
fof(normalize_0_5,plain,
! [A_27a,A_27b,V0x_2E0] : s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))),
inference(specialize,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))),
inference(canonicalize,[],[normalize_0_3]) ).
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( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0)))))
| s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))),bind(Y,$fot(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0)))))))]]) ).
cnf(refute_0_6,plain,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))),
inference(resolve,[$cnf( $equal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0))),s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27t,A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(A_27t,A_27w)),c_2Ebool_2Ethe__value_2E0)))))) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))),
inference(subst,[],[refute_0_6:[bind(A_27t,$fot(skolemFOFtoCNF_A_27t)),bind(A_27w,$fot(skolemFOFtoCNF_A_27w))]]) ).
cnf(refute_0_8,plain,
c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))) = c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))),
introduced(tautology,[refl,[$fot(c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))))]]) ).
cnf(refute_0_9,plain,
( c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))) != c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))
| s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))
| c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))) = c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))) ),
introduced(tautology,[equality,[$cnf( $equal(c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))),c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) ),[1,0],$fot(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))]]) ).
cnf(refute_0_10,plain,
( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))
| c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))) = c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))) ),
inference(resolve,[$cnf( $equal(c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))),c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))) = c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))),
inference(resolve,[$cnf( $equal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))),
introduced(tautology,[refl,[$fot(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))))]]) ).
cnf(refute_0_13,plain,
( c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))) != c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))
| s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))))
| s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) ),
introduced(tautology,[equality,[$cnf( $equal(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))))) ),[1,1],$fot(c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))]]) ).
cnf(refute_0_14,plain,
( c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))) != c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))
| s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) ),
inference(resolve,[$cnf( $equal(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))),
inference(resolve,[$cnf( $equal(c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))),c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(A_27a,A_27b),V0x_2E0))))),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_17,plain,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))),
inference(subst,[],[refute_0_16:[bind(A_27a,$fot(skolemFOFtoCNF_A_27t)),bind(A_27b,$fot(skolemFOFtoCNF_A_27w)),bind(V0x_2E0,$fot(c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))]]) ).
cnf(refute_0_18,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_19,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_18]) ).
cnf(refute_0_20,plain,
( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))))
| s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))
| s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))))),bind(Y,$fot(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))))),bind(Z,$fot(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))))]]) ).
cnf(refute_0_21,plain,
( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))
| s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) ),
inference(resolve,[$cnf( $equal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))))) )],[refute_0_17,refute_0_20]) ).
cnf(refute_0_22,plain,
s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))),
inference(resolve,[$cnf( $equal(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))) )],[refute_0_15,refute_0_21]) ).
cnf(refute_0_23,plain,
( s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))
| s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))
| s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))))) ),[1],$fot(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))]]) ).
cnf(refute_0_24,plain,
( s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))
| s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))) ),
inference(resolve,[$cnf( $equal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) != s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))),
inference(resolve,[$cnf( $equal(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))),s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))))) )],[refute_0_24,refute_0_0]) ).
cnf(refute_0_26,plain,
s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))) = s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))),
introduced(tautology,[refl,[$fot(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))))]]) ).
cnf(refute_0_27,plain,
$false,
inference(resolve,[$cnf( $equal(s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0))))),s(tyop_2Erealax_2Ereal,c_2Erealax_2Ereal__neg_2E1(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(skolemFOFtoCNF_A_27t,skolemFOFtoCNF_A_27w)),c_2Ebool_2Ethe__value_2E0)))))) )],[refute_0_26,refute_0_25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP018+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 3 23:24:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50
% 0.19/0.50 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.51
%------------------------------------------------------------------------------