%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ANA035-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 : Thu Jul 14 19:14:48 EDT 2022
% Result : Unsatisfiable 1.47s 1.65s
% Output : CNFRefutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of clauses : 89 ( 44 unt; 0 nHn; 66 RR)
% Number of literals : 151 ( 138 equ; 65 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 91 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b) ).
cnf(cls_OrderedGroup_Omult__ac__2_0,axiom,
( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
| c_times(V_a,V_b,T_a) = c_times(V_b,V_a,T_a) ) ).
cnf(cls_OrderedGroup_Omult__ac__3_0,axiom,
( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)
| c_times(V_a,c_times(V_b,V_c,T_a),T_a) = c_times(V_b,c_times(V_a,V_c,T_a),T_a) ) ).
cnf(cls_Ring__and__Field_Oabs__mult_0,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T_a)
| c_HOL_Oabs(c_times(V_a,V_b,T_a),T_a) = c_times(c_HOL_Oabs(V_a,T_a),c_HOL_Oabs(V_b,T_a),T_a) ) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_17,axiom,
( ~ class_Ring__and__Field_Oordered__idom(T)
| class_OrderedGroup_Oab__semigroup__mult(T) ) ).
cnf(refute_0_0,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| class_OrderedGroup_Oab__semigroup__mult(t_b) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__idom_17:[bind(T,$fot(t_b))]]) ).
cnf(refute_0_1,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
| c_times(X_50,c_times(X_51,X_52,t_b),t_b) = c_times(X_51,c_times(X_50,X_52,t_b),t_b) ),
inference(subst,[],[cls_OrderedGroup_Omult__ac__3_0:[bind(T_a,$fot(t_b)),bind(V_a,$fot(X_50)),bind(V_b,$fot(X_51)),bind(V_c,$fot(X_52))]]) ).
cnf(refute_0_3,plain,
c_times(X_50,c_times(X_51,X_52,t_b),t_b) = c_times(X_51,c_times(X_50,X_52,t_b),t_b),
inference(resolve,[$cnf( class_OrderedGroup_Oab__semigroup__mult(t_b) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( c_times(X_50,c_times(X_51,X_52,t_b),t_b) != c_times(X_51,c_times(X_50,X_52,t_b),t_b)
| c_times(X_51,c_times(X_50,X_52,t_b),t_b) = c_times(X_50,c_times(X_51,X_52,t_b),t_b) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c_times(X_50,c_times(X_51,X_52,t_b),t_b))),bind(Y,$fot(c_times(X_51,c_times(X_50,X_52,t_b),t_b)))]]) ).
cnf(refute_0_8,plain,
c_times(X_51,c_times(X_50,X_52,t_b),t_b) = c_times(X_50,c_times(X_51,X_52,t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(X_50,c_times(X_51,X_52,t_b),t_b),c_times(X_51,c_times(X_50,X_52,t_b),t_b)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(subst,[],[refute_0_8:[bind(X_50,$fot(v_c)),bind(X_51,$fot(v_ca)),bind(X_52,$fot(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b)))]]) ).
cnf(refute_0_10,plain,
( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
| c_times(X_2,X_3,t_b) = c_times(X_3,X_2,t_b) ),
inference(subst,[],[cls_OrderedGroup_Omult__ac__2_0:[bind(T_a,$fot(t_b)),bind(V_a,$fot(X_2)),bind(V_b,$fot(X_3))]]) ).
cnf(refute_0_11,plain,
c_times(X_2,X_3,t_b) = c_times(X_3,X_2,t_b),
inference(resolve,[$cnf( class_OrderedGroup_Oab__semigroup__mult(t_b) )],[refute_0_1,refute_0_10]) ).
cnf(refute_0_12,plain,
c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b) = c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b),
inference(subst,[],[refute_0_11:[bind(X_2,$fot(c_HOL_Oabs(X_10,t_b))),bind(X_3,$fot(c_HOL_Oabs(X_9,t_b)))]]) ).
cnf(refute_0_13,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| c_HOL_Oabs(c_times(X_7,X_8,t_b),t_b) = c_times(c_HOL_Oabs(X_7,t_b),c_HOL_Oabs(X_8,t_b),t_b) ),
inference(subst,[],[cls_Ring__and__Field_Oabs__mult_0:[bind(T_a,$fot(t_b)),bind(V_a,$fot(X_7)),bind(V_b,$fot(X_8))]]) ).
cnf(refute_0_14,plain,
c_HOL_Oabs(c_times(X_7,X_8,t_b),t_b) = c_times(c_HOL_Oabs(X_7,t_b),c_HOL_Oabs(X_8,t_b),t_b),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_b) )],[tfree_tcs,refute_0_13]) ).
cnf(refute_0_15,plain,
c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b) = c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b),
inference(subst,[],[refute_0_14:[bind(X_7,$fot(X_9)),bind(X_8,$fot(X_10))]]) ).
cnf(refute_0_16,plain,
( c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b) != c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b)
| c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b) = c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b))),bind(Y,$fot(c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b)))]]) ).
cnf(refute_0_17,plain,
c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b) = c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b),
inference(resolve,[$cnf( $equal(c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b),c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b) != c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b)
| c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b) != c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b)
| c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b) = c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b),c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b)) ),[0],$fot(c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b))]]) ).
cnf(refute_0_19,plain,
( c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b) != c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b)
| c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b) = c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b),c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b) = c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b),c_times(c_HOL_Oabs(X_9,t_b),c_HOL_Oabs(X_10,t_b),t_b)) )],[refute_0_12,refute_0_19]) ).
cnf(refute_0_21,plain,
( c_HOL_Oabs(c_times(X_7,X_8,t_b),t_b) != c_times(c_HOL_Oabs(X_7,t_b),c_HOL_Oabs(X_8,t_b),t_b)
| c_times(c_HOL_Oabs(X_7,t_b),c_HOL_Oabs(X_8,t_b),t_b) = c_HOL_Oabs(c_times(X_7,X_8,t_b),t_b) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c_HOL_Oabs(c_times(X_7,X_8,t_b),t_b))),bind(Y,$fot(c_times(c_HOL_Oabs(X_7,t_b),c_HOL_Oabs(X_8,t_b),t_b)))]]) ).
cnf(refute_0_22,plain,
c_times(c_HOL_Oabs(X_7,t_b),c_HOL_Oabs(X_8,t_b),t_b) = c_HOL_Oabs(c_times(X_7,X_8,t_b),t_b),
inference(resolve,[$cnf( $equal(c_HOL_Oabs(c_times(X_7,X_8,t_b),t_b),c_times(c_HOL_Oabs(X_7,t_b),c_HOL_Oabs(X_8,t_b),t_b)) )],[refute_0_14,refute_0_21]) ).
cnf(refute_0_23,plain,
c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b) = c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b),
inference(subst,[],[refute_0_22:[bind(X_7,$fot(X_10)),bind(X_8,$fot(X_9))]]) ).
cnf(refute_0_24,plain,
( c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b) != c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b)
| c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b) != c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b)
| c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b) = c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b) ),
introduced(tautology,[equality,[$cnf( $equal(c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b),c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b)) ),[0],$fot(c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b))]]) ).
cnf(refute_0_25,plain,
( c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b) != c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b)
| c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b) = c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b),c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b) = c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(c_HOL_Oabs(X_10,t_b),c_HOL_Oabs(X_9,t_b),t_b),c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b)) )],[refute_0_20,refute_0_25]) ).
cnf(refute_0_27,plain,
( c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b) != c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b)
| c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b) = c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b))),bind(Y,$fot(c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b)))]]) ).
cnf(refute_0_28,plain,
c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b) = c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b),
inference(resolve,[$cnf( $equal(c_HOL_Oabs(c_times(X_10,X_9,t_b),t_b),c_HOL_Oabs(c_times(X_9,X_10,t_b),t_b)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b) = c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),
inference(subst,[],[refute_0_28:[bind(X_10,$fot(v_f(v_x))),bind(X_9,$fot(v_g(v_x)))]]) ).
cnf(refute_0_30,plain,
c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b) = c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),
inference(subst,[],[refute_0_22:[bind(X_7,$fot(v_g(v_x))),bind(X_8,$fot(v_f(v_x)))]]) ).
cnf(refute_0_31,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_32,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_31]) ).
cnf(refute_0_33,plain,
( c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b) != c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b)
| c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b) != c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b)
| c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b) = c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b))),bind(Y,$fot(c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b))),bind(Z,$fot(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b)))]]) ).
cnf(refute_0_34,plain,
( c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b) != c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b)
| c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b) = c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b)) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b) = c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),
inference(resolve,[$cnf( $equal(c_HOL_Oabs(c_times(v_g(v_x),v_f(v_x),t_b),t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b)) )],[refute_0_29,refute_0_34]) ).
cnf(refute_0_36,plain,
c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
introduced(tautology,[refl,[$fot(c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b))]]) ).
cnf(refute_0_37,plain,
( c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b) != c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b)
| c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) = c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
introduced(tautology,[equality,[$cnf( $equal(c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)) ),[1,1],$fot(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b))]]) ).
cnf(refute_0_38,plain,
( c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b) != c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b)
| c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) = c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) = c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b)) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
inference(subst,[],[refute_0_8:[bind(X_50,$fot(v_c)),bind(X_51,$fot(c_HOL_Oabs(v_g(v_x),t_b))),bind(X_52,$fot(c_HOL_Oabs(v_f(v_x),t_b)))]]) ).
cnf(refute_0_41,plain,
( c_times(X_2,X_3,t_b) != c_times(X_3,X_2,t_b)
| c_times(X_3,X_2,t_b) = c_times(X_2,X_3,t_b) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(c_times(X_2,X_3,t_b))),bind(Y,$fot(c_times(X_3,X_2,t_b)))]]) ).
cnf(refute_0_42,plain,
c_times(X_3,X_2,t_b) = c_times(X_2,X_3,t_b),
inference(resolve,[$cnf( $equal(c_times(X_2,X_3,t_b),c_times(X_3,X_2,t_b)) )],[refute_0_11,refute_0_41]) ).
cnf(refute_0_43,plain,
c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) = c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
inference(subst,[],[refute_0_42:[bind(X_2,$fot(c_HOL_Oabs(v_g(v_x),t_b))),bind(X_3,$fot(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b)))]]) ).
cnf(refute_0_44,plain,
( c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) != c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) = c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b))),bind(Y,$fot(c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b))),bind(Z,$fot(c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)))]]) ).
cnf(refute_0_45,plain,
( c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) = c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) = c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(c_HOL_Oabs(v_g(v_x),t_b),c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)) )],[refute_0_40,refute_0_45]) ).
cnf(refute_0_47,plain,
( c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) != c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)
| c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) != c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) = c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b))),bind(Y,$fot(c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b))),bind(Z,$fot(c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)))]]) ).
cnf(refute_0_48,plain,
( c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b) != c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) = c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) = c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(v_c,c_times(c_HOL_Oabs(v_g(v_x),t_b),c_HOL_Oabs(v_f(v_x),t_b),t_b),t_b),c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)) )],[refute_0_39,refute_0_48]) ).
cnf(refute_0_50,plain,
c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
introduced(tautology,[refl,[$fot(c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b))]]) ).
cnf(refute_0_51,plain,
( c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) != c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) != c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
introduced(tautology,[equality,[$cnf( $equal(c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)) ),[1,1],$fot(c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b))]]) ).
cnf(refute_0_52,plain,
( c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b) != c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
( c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) != c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b))),bind(Y,$fot(c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b))),bind(Z,$fot(c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)))]]) ).
cnf(refute_0_55,plain,
( c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(v_ca,c_times(v_c,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)) )],[refute_0_9,refute_0_55]) ).
cnf(refute_0_57,plain,
c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
inference(subst,[],[refute_0_8:[bind(X_50,$fot(v_ca)),bind(X_51,$fot(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b))),bind(X_52,$fot(c_HOL_Oabs(v_g(v_x),t_b)))]]) ).
cnf(refute_0_58,plain,
( c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) != c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)
| c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b))),bind(Y,$fot(c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b))),bind(Z,$fot(c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)))]]) ).
cnf(refute_0_59,plain,
( c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(v_ca,c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
( c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)) ),[1],$fot(c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b))]]) ).
cnf(refute_0_62,plain,
( c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b)) )],[refute_0_62,cls_conjecture_4]) ).
cnf(refute_0_64,plain,
c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b) = c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
inference(subst,[],[refute_0_42:[bind(X_2,$fot(v_ca)),bind(X_3,$fot(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b)))]]) ).
cnf(refute_0_65,plain,
c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b) = c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b),
introduced(tautology,[refl,[$fot(c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b))]]) ).
cnf(refute_0_66,plain,
( c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b) != c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b) != c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b)
| c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
introduced(tautology,[equality,[$cnf( $equal(c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b)) ),[1,1],$fot(c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b))]]) ).
cnf(refute_0_67,plain,
( c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b) != c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b)) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
c_times(c_times(X_54,X_55,t_b),X_3,t_b) = c_times(X_3,c_times(X_54,X_55,t_b),t_b),
inference(subst,[],[refute_0_11:[bind(X_2,$fot(c_times(X_54,X_55,t_b)))]]) ).
cnf(refute_0_70,plain,
c_times(X_3,c_times(X_54,X_55,t_b),t_b) = c_times(X_54,c_times(X_3,X_55,t_b),t_b),
inference(subst,[],[refute_0_3:[bind(X_50,$fot(X_3)),bind(X_51,$fot(X_54)),bind(X_52,$fot(X_55))]]) ).
cnf(refute_0_71,plain,
( c_times(X_3,c_times(X_54,X_55,t_b),t_b) != c_times(X_54,c_times(X_3,X_55,t_b),t_b)
| c_times(c_times(X_54,X_55,t_b),X_3,t_b) != c_times(X_3,c_times(X_54,X_55,t_b),t_b)
| c_times(c_times(X_54,X_55,t_b),X_3,t_b) = c_times(X_54,c_times(X_3,X_55,t_b),t_b) ),
introduced(tautology,[equality,[$cnf( $equal(c_times(c_times(X_54,X_55,t_b),X_3,t_b),c_times(X_3,c_times(X_54,X_55,t_b),t_b)) ),[1],$fot(c_times(X_54,c_times(X_3,X_55,t_b),t_b))]]) ).
cnf(refute_0_72,plain,
( c_times(c_times(X_54,X_55,t_b),X_3,t_b) != c_times(X_3,c_times(X_54,X_55,t_b),t_b)
| c_times(c_times(X_54,X_55,t_b),X_3,t_b) = c_times(X_54,c_times(X_3,X_55,t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(X_3,c_times(X_54,X_55,t_b),t_b),c_times(X_54,c_times(X_3,X_55,t_b),t_b)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
c_times(c_times(X_54,X_55,t_b),X_3,t_b) = c_times(X_54,c_times(X_3,X_55,t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(c_times(X_54,X_55,t_b),X_3,t_b),c_times(X_3,c_times(X_54,X_55,t_b),t_b)) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b),
inference(subst,[],[refute_0_73:[bind(X_3,$fot(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b))),bind(X_54,$fot(v_c)),bind(X_55,$fot(v_ca))]]) ).
cnf(refute_0_75,plain,
( c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b)
| c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b))),bind(Y,$fot(c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b))),bind(Z,$fot(c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)))]]) ).
cnf(refute_0_76,plain,
( c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b)) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(v_c,c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),v_ca,t_b),t_b),c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)) )],[refute_0_68,refute_0_76]) ).
cnf(refute_0_78,plain,
( c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
introduced(tautology,[equality,[$cnf( ~ $equal(c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)) ),[0],$fot(c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b))]]) ).
cnf(refute_0_79,plain,
( c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)
| c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) ),
inference(resolve,[$cnf( $equal(c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) != c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
inference(resolve,[$cnf( $equal(c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)) )],[refute_0_79,refute_0_63]) ).
cnf(refute_0_81,plain,
c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b) = c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),
introduced(tautology,[refl,[$fot(c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b))]]) ).
cnf(refute_0_82,plain,
$false,
inference(resolve,[$cnf( $equal(c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b),c_times(v_c,c_times(v_ca,c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b),t_b)) )],[refute_0_81,refute_0_80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA035-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 05:40:54 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.47/1.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.47/1.65
% 1.47/1.65 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.47/1.67
%------------------------------------------------------------------------------