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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : ALG373-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 : Thu Sep 24 11:55:59 AM UTC 2026

% Result   : Unsatisfiable 0.85s 0.67s
% Output   : CNFRefutation 0.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   73 (  32 unt;   7 nHn;  39 RR)
%            Number of literals    :  129 (  25 equ;  57 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :  109 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_abs__minus__le__zero_0,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__minus__le__zero_0) ).

cnf(cls_abs__norm__cancel_0,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__norm__cancel_0) ).

cnf(cls_equation__minus__iff_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_equation__minus__iff_1) ).

cnf(cls_real__le__trans_0,axiom,
    ( ~ c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__trans_0) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).

cnf(cls_linorder__not__less_0,axiom,
    ( ~ class_Orderings_Olinorder(X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | c_lessequals(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__less_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_HOL_Oord__class_Oless(v_x(X1),X1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_real__less__def_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_2) ).

cnf(cls_rp_0,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_rp_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_xa(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_x(X1),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).

cnf(cls_real__le__antisym_0,axiom,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
    | X1 = X2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).

cnf(cls_abs__le__interval__iff_1,axiom,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__le__interval__iff_1) ).

cnf(cls_abs__ge__zero_0,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__ge__zero_0) ).

cnf(cls_linorder__not__le_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__not__le_1) ).

cnf(cls_abs__idempotent_0,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(X2,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_abs__idempotent_0) ).

cnf(cls_poly__bound__exists_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__bound__exists_0) ).

cnf(c_0_19,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(fof_simplification,[status(thm)],[cls_abs__minus__le__zero_0]) ).

cnf(c_0_20,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X2,X1) ),
    inference(fof_simplification,[status(thm)],[cls_abs__norm__cancel_0]) ).

cnf(c_0_21,plain,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    inference(fof_simplification,[status(thm)],[cls_equation__minus__iff_1]) ).

cnf(c_0_22,plain,
    ( ~ c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_real__le__trans_0]) ).

cnf(c_0_23,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X2,X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
    c_0_19 ).

cnf(c_0_24,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X2,X1),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X2,X1) ),
    c_0_20 ).

cnf(c_0_25,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs ).

cnf(c_0_26,plain,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X1),X1) ),
    c_0_21 ).

cnf(c_0_27,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add ).

cnf(c_0_28,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | c_lessequals(X2,X3,X1) ),
    inference(fof_simplification,[status(thm)],[cls_linorder__not__less_0]) ).

cnf(c_0_29,negated_conjecture,
    ~ c_HOL_Oord__class_Oless(v_x(X1),X1,tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).

cnf(c_0_30,plain,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_real__less__def_2]) ).

cnf(c_0_31,plain,
    ( ~ c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_22 ).

cnf(c_0_32,axiom,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
    cls_rp_0 ).

cnf(c_0_33,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_34,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_xa(X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ouminus__class_Ouminus(v_x(X1),tc_RealDef_Oreal),
    cls_conjecture_1 ).

cnf(c_0_35,plain,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_36,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector ).

cnf(c_0_37,plain,
    ( ~ class_Orderings_Olinorder(X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | c_lessequals(X2,X3,X1) ),
    c_0_28 ).

cnf(c_0_38,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Orderings_Olinorder ).

cnf(c_0_39,plain,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(fof_simplification,[status(thm)],[cls_real__le__antisym_0]) ).

cnf(c_0_40,negated_conjecture,
    ~ c_HOL_Oord__class_Oless(v_x(X1),X1,tc_RealDef_Oreal),
    c_0_29 ).

cnf(c_0_41,plain,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
    c_0_30 ).

cnf(c_0_42,plain,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_lessequals(X1,v_r,tc_RealDef_Oreal) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_43,negated_conjecture,
    c_lessequals(v_x(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36])]) ).

cnf(c_0_44,plain,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_abs__le__interval__iff_1]) ).

cnf(c_0_45,plain,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_46,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) ),
    inference(fof_simplification,[status(thm)],[cls_abs__ge__zero_0]) ).

cnf(c_0_47,plain,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
    | X1 = X2 ),
    c_0_39 ).

cnf(c_0_48,negated_conjecture,
    ( ~ c_lessequals(v_x(X1),X1,tc_RealDef_Oreal)
    | v_x(X1) = X1 ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_49,negated_conjecture,
    c_lessequals(v_x(X1),v_r,tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_50,plain,
    ( ~ c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    inference(fof_simplification,[status(thm)],[cls_linorder__not__le_1]) ).

cnf(c_0_51,plain,
    ( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    c_0_44 ).

cnf(c_0_52,negated_conjecture,
    c_lessequals(X1,v_x(X1),tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_40,c_0_45]) ).

cnf(c_0_53,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(X2,X1) ),
    inference(fof_simplification,[status(thm)],[cls_abs__idempotent_0]) ).

cnf(c_0_54,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) ),
    c_0_46 ).

cnf(c_0_55,negated_conjecture,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x(X1),tc_RealDef_Oreal)
    | v_x(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(spm,[status(thm)],[c_0_47,c_0_43]) ).

cnf(c_0_56,negated_conjecture,
    v_x(v_r) = v_r,
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_57,plain,
    ( ~ c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ class_Orderings_Olinorder(X1) ),
    c_0_50 ).

cnf(c_0_58,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),tc_RealDef_Oreal),
    cls_poly__bound__exists_0 ).

cnf(c_0_59,negated_conjecture,
    c_lessequals(X1,v_x(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)),tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ c_lessequals(v_r,v_x(X1),tc_RealDef_Oreal)
    | v_x(X1) = v_r ),
    inference(spm,[status(thm)],[c_0_47,c_0_49]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X1,v_x(X2),tc_RealDef_Oreal) ),
    inference(spm,[status(thm)],[c_0_31,c_0_52]) ).

cnf(c_0_62,plain,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(X2,X1) ),
    c_0_53 ).

cnf(c_0_63,plain,
    c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_54,c_0_25]) ).

cnf(c_0_64,negated_conjecture,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_32])]) ).

cnf(c_0_65,plain,
    ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_38])]) ).

cnf(c_0_66,negated_conjecture,
    c_lessequals(X1,v_x(c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_51,c_0_59]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ c_lessequals(v_r,X1,tc_RealDef_Oreal)
    | v_x(X1) = v_r ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_68,plain,
    c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_62,c_0_25]) ).

cnf(c_0_69,plain,
    c_lessequals(v_r,c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference(rw,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_70,plain,
    ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X1,X2),v_r,tc_RealDef_Oreal),
    inference(rw,[status(thm)],[c_0_65,c_0_64]) ).

cnf(c_0_71,negated_conjecture,
    c_lessequals(X1,v_r,tc_RealDef_Oreal),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68]),c_0_69])]) ).

cnf(c_0_72,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : ALG373-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44  % Computer : n015.cluster.edu
% 0.18/0.44  % Model    : x86_64 x86_64
% 0.18/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44  % Memory   : 8046.5625MB
% 0.18/0.44  % OS       : Linux 6.8.0-71-generic
% 0.18/0.44  % CPULimit : 300
% 0.18/0.44  % WCLimit  : 300
% 0.18/0.44  % DateTime : Mon Sep 21 13:21:21 UTC 2026
% 0.18/0.44  % CPUTime  : 
% 0.18/0.44  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.51  Running first-order theorem proving
% 0.25/0.51  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.85/0.67  % Version: 3.5.1
% 0.85/0.67  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.67  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.67  % Starting new_bool_3 with 300s (1) cores
% 0.85/0.67  % Starting new_bool_1 with 300s (1) cores
% 0.85/0.67  % Starting sh5l with 300s (1) cores
% 0.85/0.67  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1550974 completed with status 0
% 0.85/0.67  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.85/0.67  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.67  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.67  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.85/0.67  % No SInE strategy applied
% 0.85/0.67  % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.85/0.67  % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.85/0.67  % Starting SubtermCWHack with 136s (1) cores
% 0.85/0.67  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.85/0.67  % Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 123s (1) cores
% 0.85/0.67  % Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 0.85/0.67  % Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 0.85/0.67  % SubtermCWHack with pid 1550980 completed with status 0
% 0.85/0.67  % Result found by SubtermCWHack
% 0.85/0.67  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.85/0.67  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.85/0.67  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.85/0.67  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.85/0.67  % No SInE strategy applied
% 0.85/0.67  % Search class: FGHSM-FSLM32-MFFFFFNN
% 0.85/0.67  % Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 0.85/0.67  % Starting SubtermCWHack with 136s (1) cores
% 0.85/0.67  % Preprocessing time       : 0.008 s
% 0.85/0.67  
% 0.85/0.67  % Proof found!
% 0.85/0.67  % SZS status Unsatisfiable
% 0.85/0.67  % SZS output start CNFRefutation
% See solution above
% 0.85/0.67  % Parsed axioms                        : 485
% 0.85/0.67  % Removed by relevancy pruning/SinE    : 0
% 0.85/0.67  % Initial clauses                      : 485
% 0.85/0.67  % Removed in clause preprocessing      : 0
% 0.85/0.67  % Initial clauses in saturation        : 485
% 0.85/0.67  % Processed clauses                    : 1086
% 0.85/0.67  % ...of these trivial                  : 91
% 0.85/0.67  % ...subsumed                          : 426
% 0.85/0.67  % ...remaining for further processing  : 569
% 0.85/0.67  % Other redundant clauses eliminated   : 14
% 0.85/0.67  % Clauses deleted for lack of memory   : 0
% 0.85/0.67  % Backward-subsumed                    : 0
% 0.85/0.67  % Backward-rewritten                   : 138
% 0.85/0.67  % Generated clauses                    : 3045
% 0.85/0.67  % ...of the previous two non-redundant : 2192
% 0.85/0.67  % ...aggressively subsumed             : 0
% 0.85/0.67  % Contextual simplify-reflections      : 0
% 0.85/0.67  % Paramodulations                      : 3013
% 0.85/0.67  % Factorizations                       : 8
% 0.85/0.67  % NegExts                              : 0
% 0.85/0.67  % Equation resolutions                 : 24
% 0.85/0.67  % Disequality decompositions           : 0
% 0.85/0.67  % Total rewrite steps                  : 2627
% 0.85/0.67  % ...of those cached                   : 2321
% 0.85/0.67  % Propositional unsat checks           : 0
% 0.85/0.67  %    Propositional check models        : 0
% 0.85/0.67  %    Propositional check unsatisfiable : 0
% 0.85/0.67  %    Propositional clauses             : 0
% 0.85/0.67  %    Propositional clauses after purity: 0
% 0.85/0.67  %    Propositional unsat core size     : 0
% 0.85/0.67  %    Propositional preprocessing time  : 0.000
% 0.85/0.67  %    Propositional encoding time       : 0.000
% 0.85/0.67  %    Propositional solver time         : 0.000
% 0.85/0.67  %    Success case prop preproc time    : 0.000
% 0.85/0.67  %    Success case prop encoding time   : 0.000
% 0.85/0.67  %    Success case prop solver time     : 0.000
% 0.85/0.67  % Current number of processed clauses  : 431
% 0.85/0.67  %    Positive orientable unit clauses  : 205
% 0.85/0.67  %    Positive unorientable unit clauses: 3
% 0.85/0.67  %    Negative unit clauses             : 12
% 0.85/0.67  %    Non-unit-clauses                  : 211
% 0.85/0.67  % Current number of unprocessed clauses: 1559
% 0.85/0.67  % ...number of literals in the above   : 3701
% 0.85/0.67  % Current number of archived formulas  : 0
% 0.85/0.67  % Current number of archived clauses   : 138
% 0.85/0.67  % Clause-clause subsumption calls (NU) : 15628
% 0.85/0.67  % Rec. Clause-clause subsumption calls : 13819
% 0.85/0.67  % Non-unit clause-clause subsumptions  : 299
% 0.85/0.67  % Unit Clause-clause subsumption calls : 295
% 0.85/0.67  % Rewrite failures with RHS unbound    : 0
% 0.85/0.67  % BW rewrite match attempts            : 122
% 0.85/0.67  % BW rewrite match successes           : 38
% 0.85/0.67  % Condensation attempts                : 0
% 0.85/0.67  % Condensation successes               : 0
% 0.85/0.67  % Termbank termtop insertions          : 50655
% 0.85/0.67  % Search garbage collected termcells   : 828
% 0.85/0.67  
% 0.85/0.67  % -------------------------------------------------
% 0.85/0.67  % User time                : 0.109 s
% 0.85/0.67  % System time              : 0.014 s
% 0.85/0.67  % Total time               : 0.123 s
% 0.85/0.67  % Maximum resident set size: 4472 pages
% 0.85/0.67  
% 0.85/0.67  % -------------------------------------------------
% 0.85/0.67  % User time                : 0.535 s
% 0.85/0.67  % System time              : 0.055 s
% 0.85/0.67  % Total time               : 0.589 s
% 0.85/0.67  % Maximum resident set size: 5120 pages
% 0.85/0.67  % E exiting
%------------------------------------------------------------------------------