TSTP Solution File: SWV592-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV592-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n016.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 20:39:34 EDT 2022
% Result : Unsatisfiable 0.92s 1.10s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 31
% Syntax : Number of clauses : 117 ( 65 unt; 0 nHn; 59 RR)
% Number of literals : 189 ( 188 equ; 75 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 127 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__add__eq__0__iff_1,axiom,
c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ).
cnf(cls_eq__diff__eq_H_0,axiom,
V_y = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,V_z,tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ).
cnf(cls_eq__diff__eq_H_1,axiom,
V_x = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,V_z,tc_RealDef_Oreal),V_z,tc_RealDef_Oreal) ).
cnf(cls_real__diff__def_0,axiom,
c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) ).
cnf(cls_sin__periodic__pi2_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ).
cnf(cls_sin__periodic__pi_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ).
cnf(cls_sin__minus_0,axiom,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)))),bind(Y,$fot(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)))]]) ).
cnf(refute_0_4,plain,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)) )],[cls_sin__minus_0,refute_0_3]) ).
cnf(refute_0_5,plain,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
inference(subst,[],[refute_0_4:[bind(V_x,$fot(v_x))]]) ).
cnf(refute_0_6,plain,
( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal)) ),[1],$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_7,plain,
( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal) ),
inference(resolve,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal)) )],[refute_0_7,cls_conjecture_0]) ).
cnf(refute_0_9,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(subst,[],[cls_sin__minus_0:[bind(V_x,$fot(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)))]]) ).
cnf(refute_0_10,plain,
( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) ),
introduced(tautology,[equality,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)) ),[1],$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_11,plain,
( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) ),
inference(resolve,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal))) )],[refute_0_4,refute_0_10]) ).
cnf(refute_0_12,plain,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)) )],[cls_sin__periodic__pi_0,refute_0_11]) ).
cnf(refute_0_13,plain,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(subst,[],[refute_0_12:[bind(V_x,$fot(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_14,plain,
V_y = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
inference(subst,[],[cls_eq__diff__eq_H_0:[bind(V_z,$fot(c_Transcendental_Opi))]]) ).
cnf(refute_0_15,plain,
( V_y != c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) = V_y ),
inference(subst,[],[refute_0_2:[bind(X,$fot(V_y)),bind(Y,$fot(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_16,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) = V_y,
inference(resolve,[$cnf( $equal(V_y,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) != V_y
| c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal))
| c_Transcendental_Osin(V_y) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) ),
introduced(tautology,[equality,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal))) ),[0,0],$fot(V_y)]]) ).
cnf(refute_0_18,plain,
( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal))
| c_Transcendental_Osin(V_y) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),V_y) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
c_Transcendental_Osin(V_y) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(V_y,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal))) )],[refute_0_13,refute_0_18]) ).
cnf(refute_0_20,plain,
c_Transcendental_Osin(X_38) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(subst,[],[refute_0_19:[bind(V_y,$fot(X_38))]]) ).
cnf(refute_0_21,plain,
( c_Transcendental_Osin(X_38) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X_38) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_Transcendental_Osin(X_38))),bind(Y,$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal))))]]) ).
cnf(refute_0_22,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X_38),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(X_38),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_Transcendental_Osin(X_38)
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal) ),
introduced(tautology,[equality,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal)) ),[1,0],$fot(c_Transcendental_Osin(X_38))]]) ).
cnf(refute_0_24,plain,
( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal) ),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(X_38)) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal)) )],[refute_0_9,refute_0_24]) ).
cnf(refute_0_26,plain,
( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) ),
introduced(tautology,[equality,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)) ),[1],$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_27,plain,
( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) ),
inference(resolve,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal))) )],[refute_0_4,refute_0_26]) ).
cnf(refute_0_28,plain,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)) )],[cls_sin__periodic__pi2_0,refute_0_27]) ).
cnf(refute_0_29,plain,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(subst,[],[refute_0_28:[bind(V_x,$fot(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_30,plain,
c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(subst,[],[cls_real__diff__def_0:[bind(V_r,$fot(c_Transcendental_Opi)),bind(V_s,$fot(X_29))]]) ).
cnf(refute_0_31,plain,
( c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal))),bind(Y,$fot(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)))]]) ).
cnf(refute_0_32,plain,
c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) ),
introduced(tautology,[equality,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))) ),[0,0],$fot(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal))]]) ).
cnf(refute_0_34,plain,
( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))) )],[refute_0_29,refute_0_34]) ).
cnf(refute_0_36,plain,
( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)))),bind(Y,$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))))]]) ).
cnf(refute_0_37,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(subst,[],[refute_0_37:[bind(X_29,$fot(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_39,plain,
( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal) ),
introduced(tautology,[equality,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal)) ),[0],$fot(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)))]]) ).
cnf(refute_0_40,plain,
( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal) ),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal)),
inference(subst,[],[refute_0_4:[bind(V_x,$fot(X_38))]]) ).
cnf(refute_0_42,plain,
( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal)) ),
introduced(tautology,[equality,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal)) ),[1],$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_43,plain,
( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal)) ),
inference(resolve,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal)
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal)) ),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal)) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal)),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X_38),tc_RealDef_Oreal)) )],[refute_0_25,refute_0_44]) ).
cnf(refute_0_46,plain,
X_15 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X_15,X_15,tc_RealDef_Oreal),X_15,tc_RealDef_Oreal),
inference(subst,[],[cls_eq__diff__eq_H_0:[bind(V_y,$fot(X_15)),bind(V_z,$fot(X_15))]]) ).
cnf(refute_0_47,plain,
( c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal))),bind(Y,$fot(c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)))]]) ).
cnf(refute_0_48,plain,
c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)) )],[cls_real__diff__def_0,refute_0_47]) ).
cnf(refute_0_49,plain,
c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(V_x,V_x,tc_RealDef_Oreal),
inference(subst,[],[refute_0_48:[bind(V_r,$fot(V_x)),bind(V_s,$fot(V_x))]]) ).
cnf(refute_0_50,plain,
( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(V_x,V_x,tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Ominus__class_Ominus(V_x,V_x,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ),[0],$fot(c_HOL_Ominus__class_Ominus(V_x,V_x,tc_RealDef_Oreal))]]) ).
cnf(refute_0_51,plain,
( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Ominus__class_Ominus(V_x,V_x,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_x,V_x,tc_RealDef_Oreal)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
c_HOL_Ominus__class_Ominus(V_x,V_x,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) )],[cls_real__add__eq__0__iff_1,refute_0_51]) ).
cnf(refute_0_53,plain,
c_HOL_Ominus__class_Ominus(X_15,X_15,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(subst,[],[refute_0_52:[bind(V_x,$fot(X_15))]]) ).
cnf(refute_0_54,plain,
( X_15 != c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X_15,X_15,tc_RealDef_Oreal),X_15,tc_RealDef_Oreal)
| c_HOL_Ominus__class_Ominus(X_15,X_15,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X_15 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_15,tc_RealDef_Oreal) ),
introduced(tautology,[equality,[$cnf( $equal(X_15,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X_15,X_15,tc_RealDef_Oreal),X_15,tc_RealDef_Oreal)) ),[1,0],$fot(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))]]) ).
cnf(refute_0_55,plain,
( X_15 != c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X_15,X_15,tc_RealDef_Oreal),X_15,tc_RealDef_Oreal)
| X_15 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_15,tc_RealDef_Oreal) ),
inference(resolve,[$cnf( $equal(c_HOL_Ominus__class_Ominus(X_15,X_15,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
X_15 = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_15,tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(X_15,c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X_15,X_15,tc_RealDef_Oreal),X_15,tc_RealDef_Oreal)) )],[refute_0_46,refute_0_55]) ).
cnf(refute_0_57,plain,
c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(subst,[],[refute_0_56:[bind(X_15,$fot(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_58,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(subst,[],[cls_real__diff__def_0:[bind(V_r,$fot(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),bind(V_s,$fot(X_29))]]) ).
cnf(refute_0_59,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal))),bind(Y,$fot(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)))]]) ).
cnf(refute_0_60,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) ),[1],$fot(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal))]]) ).
cnf(refute_0_62,plain,
( c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal) ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_29,tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(subst,[],[refute_0_63:[bind(X_29,$fot(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_65,plain,
X_46 = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(subst,[],[cls_eq__diff__eq_H_1:[bind(V_x,$fot(X_46)),bind(V_z,$fot(c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_66,plain,
c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(subst,[],[cls_real__diff__def_0:[bind(V_r,$fot(X_46))]]) ).
cnf(refute_0_67,plain,
( c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal))),bind(Y,$fot(c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)))]]) ).
cnf(refute_0_68,plain,
c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( X_46 != c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal)
| X_46 = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(tautology,[equality,[$cnf( $equal(X_46,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)) ),[1,0],$fot(c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal))]]) ).
cnf(refute_0_70,plain,
( X_46 != c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X_46 = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
X_46 = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X_46,V_s,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(X_46,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X_46,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)) )],[refute_0_65,refute_0_70]) ).
cnf(refute_0_72,plain,
c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_50,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(subst,[],[refute_0_71:[bind(V_s,$fot(X_50)),bind(X_46,$fot(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_73,plain,
V_x = c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal),
inference(subst,[],[cls_eq__diff__eq_H_1:[bind(V_z,$fot(X_50))]]) ).
cnf(refute_0_74,plain,
( V_x != c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal) = V_x ),
inference(subst,[],[refute_0_2:[bind(X,$fot(V_x)),bind(Y,$fot(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_75,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal) = V_x,
inference(resolve,[$cnf( $equal(V_x,c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal) != V_x
| c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_50,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(V_x,c_HOL_Ouminus__class_Ouminus(X_50,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_50,tc_RealDef_Oreal),tc_RealDef_Oreal)) ),[1,0],$fot(V_x)]]) ).
cnf(refute_0_77,plain,
( c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_50,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(V_x,c_HOL_Ouminus__class_Ouminus(X_50,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(resolve,[$cnf( $equal(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal),V_x) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(V_x,c_HOL_Ouminus__class_Ouminus(X_50,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(V_x,X_50,tc_RealDef_Oreal),X_50,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_50,tc_RealDef_Oreal),tc_RealDef_Oreal)) )],[refute_0_72,refute_0_77]) ).
cnf(refute_0_79,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(subst,[],[refute_0_78:[bind(V_x,$fot(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))),bind(X_50,$fot(X_70))]]) ).
cnf(refute_0_80,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal))),bind(Y,$fot(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal)))]]) ).
cnf(refute_0_81,plain,
c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal) ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal)) ),[1],$fot(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal))]]) ).
cnf(refute_0_83,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal) ),
inference(resolve,[$cnf( $equal(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal),
inference(resolve,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal)) )],[refute_0_64,refute_0_83]) ).
cnf(refute_0_85,plain,
( X_15 != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_15,tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_15,tc_RealDef_Oreal) = X_15 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_15)),bind(Y,$fot(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_15,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_86,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_15,tc_RealDef_Oreal) = X_15,
inference(resolve,[$cnf( $equal(X_15,c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_15,tc_RealDef_Oreal)) )],[refute_0_56,refute_0_85]) ).
cnf(refute_0_87,plain,
c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal) = X_70,
inference(subst,[],[refute_0_86:[bind(X_15,$fot(X_70))]]) ).
cnf(refute_0_88,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal) != X_70
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) = X_70 ),
introduced(tautology,[equality,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal)) ),[1],$fot(X_70)]]) ).
cnf(refute_0_89,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) = X_70 ),
inference(resolve,[$cnf( $equal(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal),X_70) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal) = X_70,
inference(resolve,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_70,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X_70,tc_RealDef_Oreal)) )],[refute_0_84,refute_0_89]) ).
cnf(refute_0_91,plain,
c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal) = X_29,
inference(subst,[],[refute_0_90:[bind(X_70,$fot(X_29))]]) ).
cnf(refute_0_92,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)),
introduced(tautology,[refl,[$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)))]]) ).
cnf(refute_0_93,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal) != X_29
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X_29) ),
introduced(tautology,[equality,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))) ),[1,0],$fot(X_29)]]) ).
cnf(refute_0_94,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal) != X_29
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X_29) ),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X_29),
inference(resolve,[$cnf( $equal(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal),X_29) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_Transcendental_Osin(X_29)
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) = c_Transcendental_Osin(X_29) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)),c_Transcendental_Osin(X_29)) ),[0],$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)))]]) ).
cnf(refute_0_97,plain,
( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) = c_Transcendental_Osin(X_29) ),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(X_29)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)) = c_Transcendental_Osin(X_29),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X_29,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X_29,tc_RealDef_Oreal),tc_RealDef_Oreal))) )],[refute_0_35,refute_0_97]) ).
cnf(refute_0_99,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal)),
inference(subst,[],[refute_0_98:[bind(X_29,$fot(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_100,plain,
( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal)) ),
introduced(tautology,[equality,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal))) ),[0],$fot(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_101,plain,
( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal)) ),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal)),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,c_HOL_Ominus__class_Ominus(X_38,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X_38,tc_RealDef_Oreal))) )],[refute_0_45,refute_0_101]) ).
cnf(refute_0_103,plain,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
inference(subst,[],[refute_0_102:[bind(X_38,$fot(v_x))]]) ).
cnf(refute_0_104,plain,
( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))) ),[0],$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_105,plain,
( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))
| c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)) ),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))) )],[refute_0_105,refute_0_8]) ).
cnf(refute_0_107,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
introduced(tautology,[refl,[$fot(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)))]]) ).
cnf(refute_0_108,plain,
$false,
inference(resolve,[$cnf( $equal(c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal))) )],[refute_0_107,refute_0_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV592-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n016.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 : Wed Jun 15 19:35:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.92/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.10
% 0.92/1.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.92/1.11
%------------------------------------------------------------------------------