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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : ANA030-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 12:55:40 PM UTC 2026

% Result   : Unsatisfiable 2.39s 21.09s
% Output   : CNFRefutation 2.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   80 (  35 unt;   0 def)
%            Number of atoms       :  134 (  49 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  111 (  57   ~;  54   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   3 con; 0-3 aty)
%            Number of variables   :  150 (   0 sgn 150   !;   0   ?; 117   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X0] : c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f2,negated_conjecture,
    ! [X0] : ~ c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f3,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( c_HOL_Oabs(X1,X0) = X1
      | ~ c_lessequals(c_0,X1,X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonneg_0) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( c_plus(X1,c_uminus(X2,X0),X0) = c_minus(X1,X2,X0)
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__1_0) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(X1,c_plus(X3,X2,X0),X0)
      | ~ c_lessequals(c_minus(X1,X2,X0),X3,X0)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_0) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0)
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( c_uminus(c_plus(X1,X2,X0),X0) = c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0)
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__add__distrib_0) ).

fof(f9,axiom,
    ! [X2,X0,X1] :
      ( c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0)
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( c_uminus(c_uminus(X1,X0),X0) = X1
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__minus_0) ).

fof(f11,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
      | ~ class_Orderings_Olinorder(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Ole__maxI2_0) ).

fof(f12,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(X1,X3,X0)
      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
      | ~ class_Orderings_Olinorder(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).

fof(f13,axiom,
    ! [X0] :
      ( class_OrderedGroup_Opordered__ab__group__add(X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

fof(f14,axiom,
    ! [X0] :
      ( class_Orderings_Olinorder(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

fof(f15,axiom,
    ! [X0] :
      ( class_OrderedGroup_Oab__group__add(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).

fof(f16,axiom,
    ! [X0] :
      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

tcf(c_65,negated_conjecture,
    ! [X0: $i] : c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_66,negated_conjecture,
    ! [X0: $i] : ~ c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_67,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_68,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_HOL_Oabs(X0,X1) = X0 )
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
      | ~ c_lessequals(c_0,X0,X1) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_plus(X1,c_uminus(X2,X0),X0) = c_minus(X1,X2,X0) )
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X0,c_plus(X3,X1,X2),X2)
      | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
      | ~ c_lessequals(c_minus(X0,X1,X2),X3,X2) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) )
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_72,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) )
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) )
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_74,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_uminus(c_uminus(X1,X0),X0) = X1 )
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_75,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
      | ~ class_Orderings_Olinorder(X0) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_76,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X0,X3,X2)
      | ~ class_Orderings_Olinorder(X2)
      | ~ c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_77,plain,
    ! [X0: $i] :
      ( class_OrderedGroup_Opordered__ab__group__add(X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_78,plain,
    ! [X0: $i] :
      ( class_Orderings_Olinorder(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_79,plain,
    ! [X0: $i] :
      ( class_OrderedGroup_Oab__group__add(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_80,plain,
    ! [X0: $i] :
      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_230,plain,
    ! [X0: $i] :
      ( class_OrderedGroup_Olordered__ab__group__abs(X0)
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_67,c_80]) ).

tcf(c_231,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(unflattening,[status(thm)],[c_230]) ).

tcf(c_235,plain,
    ! [X0: $i] :
      ( class_OrderedGroup_Oab__group__add(X0)
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_67,c_79]) ).

tcf(c_236,plain,
    class_OrderedGroup_Oab__group__add(t_b),
    inference(unflattening,[status(thm)],[c_235]) ).

tcf(c_240,plain,
    ! [X0: $i] :
      ( class_Orderings_Olinorder(X0)
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_67,c_78]) ).

tcf(c_241,plain,
    class_Orderings_Olinorder(t_b),
    inference(unflattening,[status(thm)],[c_240]) ).

tcf(c_248,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_HOL_Oabs(X1,X0) = X1 )
      | ~ c_lessequals(c_0,X1,X0)
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_68,c_231]) ).

tcf(c_249,plain,
    ! [X0: $i] :
      ( ( c_HOL_Oabs(X0,t_b) = X0 )
      | ~ c_lessequals(c_0,X0,t_b) ),
    inference(unflattening,[status(thm)],[c_248]) ).

tcf(c_257,plain,
    ! [X0: $i] :
      ( class_OrderedGroup_Opordered__ab__group__add(X0)
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_77,c_231]) ).

tcf(c_258,plain,
    class_OrderedGroup_Opordered__ab__group__add(t_b),
    inference(unflattening,[status(thm)],[c_257]) ).

tcf(c_265,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X1,c_plus(X3,X2,X0),X0)
      | ~ c_lessequals(c_minus(X1,X2,X0),X3,X0)
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_70,c_258]) ).

tcf(c_266,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X0,c_plus(X2,X1,t_b),t_b)
      | ~ c_lessequals(c_minus(X0,X1,t_b),X2,t_b) ),
    inference(unflattening,[status(thm)],[c_265]) ).

tcf(c_276,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_75,c_241]) ).

tcf(c_277,plain,
    ! [X0: $i,X1: $i] : c_lessequals(X0,c_Orderings_Omax(X1,X0,t_b),t_b),
    inference(unflattening,[status(thm)],[c_276]) ).

tcf(c_282,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c_lessequals(X1,X3,X0)
      | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_76,c_241]) ).

tcf(c_283,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X0,X2,t_b)
      | ~ c_lessequals(c_Orderings_Omax(X0,X1,t_b),X2,t_b) ),
    inference(unflattening,[status(thm)],[c_282]) ).

tcf(c_294,plain,
    ! [X0: $i,X1: $i] :
      ( ( c_uminus(c_uminus(X1,X0),X0) = X1 )
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_74,c_236]) ).

tcf(c_295,plain,
    ! [X0: $i] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
    inference(unflattening,[status(thm)],[c_294]) ).

tcf(c_300,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) )
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_73,c_236]) ).

tcf(c_301,plain,
    ! [X0: $i,X1: $i] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
    inference(unflattening,[status(thm)],[c_300]) ).

tcf(c_306,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) )
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_72,c_236]) ).

tcf(c_307,plain,
    ! [X0: $i,X1: $i] : c_plus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b) = c_uminus(c_plus(X0,X1,t_b),t_b),
    inference(unflattening,[status(thm)],[c_306]) ).

tcf(c_312,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) )
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_71,c_236]) ).

tcf(c_313,plain,
    ! [X0: $i,X1: $i] : c_minus(X0,c_uminus(X1,t_b),t_b) = c_plus(X0,X1,t_b),
    inference(unflattening,[status(thm)],[c_312]) ).

tcf(c_318,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_plus(X1,c_uminus(X2,X0),X0) = c_minus(X1,X2,X0) )
      | ( X0 != t_b ) ),
    inference(resolution_lifted,[status(thm)],[c_69,c_236]) ).

tcf(c_319,plain,
    ! [X0: $i,X1: $i] : c_plus(X0,c_uminus(X1,t_b),t_b) = c_minus(X0,X1,t_b),
    inference(unflattening,[status(thm)],[c_318]) ).

tcf(c_367,plain,
    ! [X0: $i,X1: $i] : c_minus(c_uminus(X0,t_b),X1,t_b) = c_uminus(c_plus(X0,X1,t_b),t_b),
    inference(demodulation,[status(thm)],[c_307,c_319]) ).

tcf(c_382,plain,
    ! [X0: $i,X1: $i] : c_minus(c_uminus(X0,t_b),X1,t_b) = c_uminus(c_plus(X0,X1,t_b),t_b),
    inference(demodulation,[status(thm)],[c_367]) ).

tcf(c_383,plain,
    ! [X0: $i,X1: $i] : c_plus(X0,c_uminus(X1,t_b),t_b) = c_minus(X0,X1,t_b),
    inference(demodulation,[status(thm)],[c_319]) ).

tcf(c_384,plain,
    ! [X0: $i,X1: $i] : c_minus(X0,c_uminus(X1,t_b),t_b) = c_plus(X0,X1,t_b),
    inference(demodulation,[status(thm)],[c_313]) ).

tcf(c_385,plain,
    ! [X0: $i,X1: $i] : c_uminus(c_minus(X0,X1,t_b),t_b) = c_minus(X1,X0,t_b),
    inference(demodulation,[status(thm)],[c_301]) ).

tcf(c_386,plain,
    ! [X0: $i] : c_uminus(c_uminus(X0,t_b),t_b) = X0,
    inference(demodulation,[status(thm)],[c_295]) ).

tcf(c_387,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X0,X2,t_b)
      | ~ c_lessequals(c_Orderings_Omax(X0,X1,t_b),X2,t_b) ),
    inference(demodulation,[status(thm)],[c_283]) ).

tcf(c_388,plain,
    ! [X0: $i,X1: $i] : c_lessequals(X0,c_Orderings_Omax(X1,X0,t_b),t_b),
    inference(demodulation,[status(thm)],[c_277]) ).

tcf(c_389,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c_lessequals(X0,c_plus(X2,X1,t_b),t_b)
      | ~ c_lessequals(c_minus(X0,X1,t_b),X2,t_b) ),
    inference(demodulation,[status(thm)],[c_266]) ).

tcf(c_390,plain,
    ! [X0: $i] :
      ( ( c_HOL_Oabs(X0,t_b) = X0 )
      | ~ c_lessequals(c_0,X0,t_b) ),
    inference(demodulation,[status(thm)],[c_249]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i] : ~ c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b),
    inference(demodulation,[status(thm)],[c_66]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] : c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
    inference(demodulation,[status(thm)],[c_65]) ).

tcf(c_625,plain,
    ! [X0: $i] : c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b) = c_Orderings_Omax(X0,c_0,t_b),
    inference(superposition,[status(thm)],[c_388,c_390]) ).

tcf(c_626,plain,
    ! [X0: $i] : c_lessequals(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
    inference(demodulation,[status(thm)],[c_392,c_625]) ).

tcf(c_636,plain,
    ! [X0: $i] : c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),
    inference(superposition,[status(thm)],[c_626,c_387]) ).

tcf(c_648,plain,
    ! [X0: $i,X1: $i] : c_uminus(c_plus(X0,c_uminus(X1,t_b),t_b),t_b) = c_plus(c_uminus(X0,t_b),X1,t_b),
    inference(superposition,[status(thm)],[c_382,c_384]) ).

tcf(c_649,plain,
    ! [X0: $i,X1: $i] : c_plus(c_uminus(X0,t_b),X1,t_b) = c_minus(X1,X0,t_b),
    inference(light_normalisation,[status(thm)],[c_648,c_385,c_383]) ).

tcf(c_675,plain,
    ! [X0: $i,X1: $i] : c_minus(X0,c_uminus(X1,t_b),t_b) = c_plus(X1,X0,t_b),
    inference(superposition,[status(thm)],[c_386,c_649]) ).

tcf(c_686,plain,
    ! [X0: $i,X1: $i] : c_plus(X0,X1,t_b) = c_plus(X1,X0,t_b),
    inference(superposition,[status(thm)],[c_675,c_384]) ).

tcf(c_700,plain,
    ! [X0: $i] : c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b),
    inference(superposition,[status(thm)],[c_636,c_389]) ).

tcf(c_702,plain,
    ! [X0: $i] : c_lessequals(v_f(X0),c_plus(v_g(X0),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),t_b),
    inference(demodulation,[status(thm)],[c_700,c_686]) ).

tcf(c_703,plain,
    $false,
    inference(superposition,[status(thm)],[c_702,c_391]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ANA030-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/20.39  % Computer : n013.cluster.edu
% 0.08/20.39  % Model    : x86_64 x86_64
% 0.08/20.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/20.39  % Memory   : 8046.5625MB
% 0.08/20.39  % OS       : Linux 6.8.0-71-generic
% 0.08/20.39  % CPULimit : 300
% 0.08/20.39  % WCLimit  : 300
% 0.08/20.39  % DateTime : Fri Sep 25 05:48:11 UTC 2026
% 0.08/20.40  % CPUTime  : 
% 0.08/20.40  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/20.43  Running first-order theorem proving
% 0.15/20.43  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/20.44  
% 0.15/20.44  % ======== iProver multi-core TPTP/SMT =========
% 0.15/20.44  
% 0.15/20.45  % Detected problem language: tptp
% 0.15/20.46  % Proving...
% 2.39/21.09  % SZS status Started for theBenchmark.p
% 2.39/21.09  % SZS status Unsatisfiable for theBenchmark.p
% 2.39/21.09  
% 2.39/21.09  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.39/21.09  
% 2.39/21.09  % ------  iProver source info
% 2.39/21.09  
% 2.39/21.09  % git: date: 2026-07-19 20:42:38 +0200
% 2.39/21.09  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.39/21.09  % git: non_committed_changes: false
% 2.39/21.09  
% 2.39/21.09  % ------ Parsing...% successful
% 2.39/21.09  
% 2.39/21.09  
% 2.39/21.09  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.39/21.09  
% 2.39/21.09  % ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 1  sf_s  rm: 2 0s  sf_e  pe_s  pe_e % 
% 2.39/21.09  
% 2.39/21.09  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.39/21.09  
% 2.39/21.09  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.39/21.09  % ------ Proving...
% 2.39/21.09  % ------ Problem Properties 
% 2.39/21.09  
% 2.39/21.09  % 
% 2.39/21.09  % clauses                               11
% 2.39/21.09  % conjectures                           2
% 2.39/21.09  % EPR                                   0
% 2.39/21.09  % Horn                                  11
% 2.39/21.09  % unary                                 8
% 2.39/21.09  % binary                                3
% 2.39/21.10  % lits                                  14
% 2.39/21.10  % lits eq                               6
% 2.39/21.10  % fd_pure                               0
% 2.39/21.10  % fd_pseudo                             0
% 2.39/21.10  % fd_cond                               0
% 2.39/21.10  % fd_pseudo_cond                        0
% 2.39/21.10  % AC symbols                            0
% 2.39/21.10  
% 2.39/21.10  % ------ Schedule dynamic 5 is on 
% 2.39/21.10  
% 2.39/21.10  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.39/21.10  
% 2.39/21.10  
% 2.39/21.10  % ------ 
% 2.39/21.10  % Current options:
% 2.39/21.10  % ------ 
% 2.39/21.10  
% 2.39/21.10  
% 2.39/21.10  % 
% 2.39/21.10  
% 2.39/21.10  % ------ Proving...
% 2.39/21.10  % 
% 2.39/21.10  
% 2.39/21.10  % SZS status Unsatisfiable for theBenchmark.p
% 2.39/21.10  
% 2.39/21.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.39/21.10  
%------------------------------------------------------------------------------