TSTP Solution File: ANA015-2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ANA015-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 19:14:34 EDT 2022
% Result : Unsatisfiable 0.47s 0.64s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 50 ( 22 unt; 0 nHn; 31 RR)
% Number of literals : 86 ( 19 equ; 40 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 69 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
| c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ) ).
cnf(cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0,axiom,
( ~ class_OrderedGroup_Osemigroup__mult(T_a)
| c_times(c_times(V_a,V_b,T_a),V_c,T_a) = c_times(V_a,c_times(V_b,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(cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(T_a)
| ~ c_lessequals(V_a,V_b,T_a)
| ~ c_lessequals(c_0,V_c,T_a)
| c_lessequals(c_times(V_c,V_a,T_a),c_times(V_c,V_b,T_a),T_a) ) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_g(V_U),t_a),c_times(v_d,c_HOL_Oabs(v_f(V_U),t_a),t_a),t_a) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(V_U)),t_a),t_a),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_a),t_a),t_a) ).
cnf(clsrel_Ring__and__Field_Ofield_21,axiom,
( ~ class_Ring__and__Field_Ofield(T)
| class_OrderedGroup_Osemigroup__mult(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__field_0,axiom,
( ~ class_Ring__and__Field_Oordered__field(T)
| class_Ring__and__Field_Ofield(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__field_34,axiom,
( ~ class_Ring__and__Field_Oordered__field(T)
| class_Ring__and__Field_Oordered__idom(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__field_46,axiom,
( ~ class_Ring__and__Field_Oordered__field(T)
| class_Ring__and__Field_Opordered__semiring(T) ) ).
cnf(clsrel_Ring__and__Field_Oordered__field_47,axiom,
( ~ class_Ring__and__Field_Oordered__field(T)
| class_OrderedGroup_Olordered__ab__group__abs(T) ) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__field(t_a) ).
cnf(refute_0_0,plain,
~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),c_times(c_times(X_46,X_47,t_a),c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a),
inference(subst,[],[cls_conjecture_2:[bind(V_U,$fot(c_times(X_46,X_47,t_a)))]]) ).
cnf(refute_0_1,plain,
( ~ class_Ring__and__Field_Ofield(t_a)
| class_OrderedGroup_Osemigroup__mult(t_a) ),
inference(subst,[],[clsrel_Ring__and__Field_Ofield_21:[bind(T,$fot(t_a))]]) ).
cnf(refute_0_2,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Ring__and__Field_Ofield(t_a) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__field_0:[bind(T,$fot(t_a))]]) ).
cnf(refute_0_3,plain,
class_Ring__and__Field_Ofield(t_a),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__field(t_a) )],[tfree_tcs,refute_0_2]) ).
cnf(refute_0_4,plain,
class_OrderedGroup_Osemigroup__mult(t_a),
inference(resolve,[$cnf( class_Ring__and__Field_Ofield(t_a) )],[refute_0_3,refute_0_1]) ).
cnf(refute_0_5,plain,
( ~ class_OrderedGroup_Osemigroup__mult(t_a)
| c_times(c_times(X_43,X_44,t_a),X_45,t_a) = c_times(X_43,c_times(X_44,X_45,t_a),t_a) ),
inference(subst,[],[cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0:[bind(T_a,$fot(t_a)),bind(V_a,$fot(X_43)),bind(V_b,$fot(X_44)),bind(V_c,$fot(X_45))]]) ).
cnf(refute_0_6,plain,
c_times(c_times(X_43,X_44,t_a),X_45,t_a) = c_times(X_43,c_times(X_44,X_45,t_a),t_a),
inference(resolve,[$cnf( class_OrderedGroup_Osemigroup__mult(t_a) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
c_times(c_times(X_46,X_47,t_a),c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a) = c_times(X_46,c_times(X_47,c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a),
inference(subst,[],[refute_0_6:[bind(X_43,$fot(X_46)),bind(X_44,$fot(X_47)),bind(X_45,$fot(c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a)))]]) ).
cnf(refute_0_8,plain,
( c_times(c_times(X_46,X_47,t_a),c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a) != c_times(X_46,c_times(X_47,c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a)
| ~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),c_times(X_46,c_times(X_47,c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a),t_a)
| c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),c_times(c_times(X_46,X_47,t_a),c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a) ),
introduced(tautology,[equality,[$cnf( ~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),c_times(c_times(X_46,X_47,t_a),c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a) ),[1],$fot(c_times(X_46,c_times(X_47,c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a))]]) ).
cnf(refute_0_9,plain,
( ~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),c_times(X_46,c_times(X_47,c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a),t_a)
| c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),c_times(c_times(X_46,X_47,t_a),c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a) ),
inference(resolve,[$cnf( $equal(c_times(c_times(X_46,X_47,t_a),c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),c_times(X_46,c_times(X_47,c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a)) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),c_times(X_46,c_times(X_47,c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a),t_a),
inference(resolve,[$cnf( c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),c_times(c_times(X_46,X_47,t_a),c_HOL_Oabs(v_f(v_x(c_times(X_46,X_47,t_a))),t_a),t_a),t_a) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
~ c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),c_times(v_d,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),t_a),t_a),
inference(subst,[],[refute_0_10:[bind(X_46,$fot(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a))),bind(X_47,$fot(v_d))]]) ).
cnf(refute_0_12,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_OrderedGroup_Olordered__ab__group__abs(t_a) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__field_47:[bind(T,$fot(t_a))]]) ).
cnf(refute_0_13,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__field(t_a) )],[tfree_tcs,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
| c_lessequals(c_0,c_HOL_Oabs(X_8,t_a),t_a) ),
inference(subst,[],[cls_OrderedGroup_Oabs__ge__zero_0:[bind(T_a,$fot(t_a)),bind(V_a,$fot(X_8))]]) ).
cnf(refute_0_15,plain,
c_lessequals(c_0,c_HOL_Oabs(X_8,t_a),t_a),
inference(resolve,[$cnf( class_OrderedGroup_Olordered__ab__group__abs(t_a) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ c_lessequals(c_0,X_155,t_a)
| ~ c_lessequals(c_HOL_Oabs(v_g(V_U),t_a),c_times(v_d,c_HOL_Oabs(v_f(V_U),t_a),t_a),t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a)
| c_lessequals(c_times(X_155,c_HOL_Oabs(v_g(V_U),t_a),t_a),c_times(X_155,c_times(v_d,c_HOL_Oabs(v_f(V_U),t_a),t_a),t_a),t_a) ),
inference(subst,[],[cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0:[bind(T_a,$fot(t_a)),bind(V_a,$fot(c_HOL_Oabs(v_g(V_U),t_a))),bind(V_b,$fot(c_times(v_d,c_HOL_Oabs(v_f(V_U),t_a),t_a))),bind(V_c,$fot(X_155))]]) ).
cnf(refute_0_17,plain,
( ~ c_lessequals(c_0,X_155,t_a)
| ~ class_Ring__and__Field_Opordered__semiring(t_a)
| c_lessequals(c_times(X_155,c_HOL_Oabs(v_g(V_U),t_a),t_a),c_times(X_155,c_times(v_d,c_HOL_Oabs(v_f(V_U),t_a),t_a),t_a),t_a) ),
inference(resolve,[$cnf( c_lessequals(c_HOL_Oabs(v_g(V_U),t_a),c_times(v_d,c_HOL_Oabs(v_f(V_U),t_a),t_a),t_a) )],[cls_conjecture_1,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Ring__and__Field_Opordered__semiring(t_a) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__field_46:[bind(T,$fot(t_a))]]) ).
cnf(refute_0_19,plain,
class_Ring__and__Field_Opordered__semiring(t_a),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__field(t_a) )],[tfree_tcs,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ c_lessequals(c_0,X_155,t_a)
| c_lessequals(c_times(X_155,c_HOL_Oabs(v_g(V_U),t_a),t_a),c_times(X_155,c_times(v_d,c_HOL_Oabs(v_f(V_U),t_a),t_a),t_a),t_a) ),
inference(resolve,[$cnf( class_Ring__and__Field_Opordered__semiring(t_a) )],[refute_0_19,refute_0_17]) ).
cnf(refute_0_21,plain,
( ~ c_lessequals(c_0,c_HOL_Oabs(X_8,t_a),t_a)
| c_lessequals(c_times(c_HOL_Oabs(X_8,t_a),c_HOL_Oabs(v_g(X_195),t_a),t_a),c_times(c_HOL_Oabs(X_8,t_a),c_times(v_d,c_HOL_Oabs(v_f(X_195),t_a),t_a),t_a),t_a) ),
inference(subst,[],[refute_0_20:[bind(V_U,$fot(X_195)),bind(X_155,$fot(c_HOL_Oabs(X_8,t_a)))]]) ).
cnf(refute_0_22,plain,
c_lessequals(c_times(c_HOL_Oabs(X_8,t_a),c_HOL_Oabs(v_g(X_195),t_a),t_a),c_times(c_HOL_Oabs(X_8,t_a),c_times(v_d,c_HOL_Oabs(v_f(X_195),t_a),t_a),t_a),t_a),
inference(resolve,[$cnf( c_lessequals(c_0,c_HOL_Oabs(X_8,t_a),t_a) )],[refute_0_15,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ class_Ring__and__Field_Oordered__field(t_a)
| class_Ring__and__Field_Oordered__idom(t_a) ),
inference(subst,[],[clsrel_Ring__and__Field_Oordered__field_34:[bind(T,$fot(t_a))]]) ).
cnf(refute_0_24,plain,
class_Ring__and__Field_Oordered__idom(t_a),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__field(t_a) )],[tfree_tcs,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_a)
| c_HOL_Oabs(c_times(X_11,X_12,t_a),t_a) = c_times(c_HOL_Oabs(X_11,t_a),c_HOL_Oabs(X_12,t_a),t_a) ),
inference(subst,[],[cls_Ring__and__Field_Oabs__mult_0:[bind(T_a,$fot(t_a)),bind(V_a,$fot(X_11)),bind(V_b,$fot(X_12))]]) ).
cnf(refute_0_26,plain,
c_HOL_Oabs(c_times(X_11,X_12,t_a),t_a) = c_times(c_HOL_Oabs(X_11,t_a),c_HOL_Oabs(X_12,t_a),t_a),
inference(resolve,[$cnf( class_Ring__and__Field_Oordered__idom(t_a) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_28,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_29,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( c_HOL_Oabs(c_times(X_11,X_12,t_a),t_a) != c_times(c_HOL_Oabs(X_11,t_a),c_HOL_Oabs(X_12,t_a),t_a)
| c_times(c_HOL_Oabs(X_11,t_a),c_HOL_Oabs(X_12,t_a),t_a) = c_HOL_Oabs(c_times(X_11,X_12,t_a),t_a) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(c_HOL_Oabs(c_times(X_11,X_12,t_a),t_a))),bind(Y,$fot(c_times(c_HOL_Oabs(X_11,t_a),c_HOL_Oabs(X_12,t_a),t_a)))]]) ).
cnf(refute_0_31,plain,
c_times(c_HOL_Oabs(X_11,t_a),c_HOL_Oabs(X_12,t_a),t_a) = c_HOL_Oabs(c_times(X_11,X_12,t_a),t_a),
inference(resolve,[$cnf( $equal(c_HOL_Oabs(c_times(X_11,X_12,t_a),t_a),c_times(c_HOL_Oabs(X_11,t_a),c_HOL_Oabs(X_12,t_a),t_a)) )],[refute_0_26,refute_0_30]) ).
cnf(refute_0_32,plain,
c_times(c_HOL_Oabs(X_8,t_a),c_HOL_Oabs(v_g(X_195),t_a),t_a) = c_HOL_Oabs(c_times(X_8,v_g(X_195),t_a),t_a),
inference(subst,[],[refute_0_31:[bind(X_11,$fot(X_8)),bind(X_12,$fot(v_g(X_195)))]]) ).
cnf(refute_0_33,plain,
( c_times(c_HOL_Oabs(X_8,t_a),c_HOL_Oabs(v_g(X_195),t_a),t_a) != c_HOL_Oabs(c_times(X_8,v_g(X_195),t_a),t_a)
| ~ c_lessequals(c_times(c_HOL_Oabs(X_8,t_a),c_HOL_Oabs(v_g(X_195),t_a),t_a),c_times(c_HOL_Oabs(X_8,t_a),c_times(v_d,c_HOL_Oabs(v_f(X_195),t_a),t_a),t_a),t_a)
| c_lessequals(c_HOL_Oabs(c_times(X_8,v_g(X_195),t_a),t_a),c_times(c_HOL_Oabs(X_8,t_a),c_times(v_d,c_HOL_Oabs(v_f(X_195),t_a),t_a),t_a),t_a) ),
introduced(tautology,[equality,[$cnf( c_lessequals(c_times(c_HOL_Oabs(X_8,t_a),c_HOL_Oabs(v_g(X_195),t_a),t_a),c_times(c_HOL_Oabs(X_8,t_a),c_times(v_d,c_HOL_Oabs(v_f(X_195),t_a),t_a),t_a),t_a) ),[0],$fot(c_HOL_Oabs(c_times(X_8,v_g(X_195),t_a),t_a))]]) ).
cnf(refute_0_34,plain,
( ~ c_lessequals(c_times(c_HOL_Oabs(X_8,t_a),c_HOL_Oabs(v_g(X_195),t_a),t_a),c_times(c_HOL_Oabs(X_8,t_a),c_times(v_d,c_HOL_Oabs(v_f(X_195),t_a),t_a),t_a),t_a)
| c_lessequals(c_HOL_Oabs(c_times(X_8,v_g(X_195),t_a),t_a),c_times(c_HOL_Oabs(X_8,t_a),c_times(v_d,c_HOL_Oabs(v_f(X_195),t_a),t_a),t_a),t_a) ),
inference(resolve,[$cnf( $equal(c_times(c_HOL_Oabs(X_8,t_a),c_HOL_Oabs(v_g(X_195),t_a),t_a),c_HOL_Oabs(c_times(X_8,v_g(X_195),t_a),t_a)) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
c_lessequals(c_HOL_Oabs(c_times(X_8,v_g(X_195),t_a),t_a),c_times(c_HOL_Oabs(X_8,t_a),c_times(v_d,c_HOL_Oabs(v_f(X_195),t_a),t_a),t_a),t_a),
inference(resolve,[$cnf( c_lessequals(c_times(c_HOL_Oabs(X_8,t_a),c_HOL_Oabs(v_g(X_195),t_a),t_a),c_times(c_HOL_Oabs(X_8,t_a),c_times(v_d,c_HOL_Oabs(v_f(X_195),t_a),t_a),t_a),t_a) )],[refute_0_22,refute_0_34]) ).
cnf(refute_0_36,plain,
c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),c_times(v_d,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),t_a),t_a),
inference(subst,[],[refute_0_35:[bind(X_195,$fot(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a)))),bind(X_8,$fot(c_HOL_Oinverse(v_c,t_a)))]]) ).
cnf(refute_0_37,plain,
$false,
inference(resolve,[$cnf( c_lessequals(c_HOL_Oabs(c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),c_times(v_d,c_HOL_Oabs(v_f(v_x(c_times(c_HOL_Oabs(c_HOL_Oinverse(v_c,t_a),t_a),v_d,t_a))),t_a),t_a),t_a),t_a) )],[refute_0_36,refute_0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ANA015-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 06:12:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.47/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.47/0.65
%------------------------------------------------------------------------------