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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWV995-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 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 : Thu Sep 24 03:00:18 PM UTC 2026

% Result   : Unsatisfiable 1.21s 0.68s
% Output   : CNFRefutation 1.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   16 (  13 unt;   3 nHn;  16 RR)
%            Number of literals    :   28 (   0 equ;  15 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :   10 (   3 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-5 aty)
%            Number of functors    :   22 (  22 usr;  10 con; 0-4 aty)
%            Number of variables   :   21 (  12 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Progress_0,axiom,
    ( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X2,X1,X5)
    | ~ c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X2),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_sko__TypeSafe__Mirabelle__XProgress__1(X3,X1,X2),v_sko__TypeSafe__Mirabelle__XProgress__2(X3,X1,X2),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Progress_0) ).

cnf(cls_conjecture_10,negated_conjecture,
    ~ c_BigStep_Ofinal(v_e_H,tc_List_Olist(tc_String_Ochar)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).

cnf(cls_conjecture_5,negated_conjecture,
    ~ c_in(c_Pair(c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

cnf(cls_conjecture_7,negated_conjecture,
    c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_T_H),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).

cnf(cls_conjecture_9,negated_conjecture,
    c_DefAss_O_092_060D_062(v_e_H,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s_H),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_0_6,plain,
    ( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X2,X1,X5)
    | ~ c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X2),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_sko__TypeSafe__Mirabelle__XProgress__1(X3,X1,X2),v_sko__TypeSafe__Mirabelle__XProgress__2(X3,X1,X2),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    inference(fof_simplification,[status(thm)],[cls_Progress_0]) ).

cnf(c_0_7,negated_conjecture,
    ~ c_BigStep_Ofinal(v_e_H,tc_List_Olist(tc_String_Ochar)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_10]) ).

cnf(c_0_8,negated_conjecture,
    ~ c_in(c_Pair(c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    inference(fof_simplification,[status(thm)],[cls_conjecture_5]) ).

cnf(c_0_9,plain,
    ( ~ c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,X3,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
    | ~ c_TypeSafe__Mirabelle_Owf__config(X3,X4,X2,X1,X5)
    | ~ c_DefAss_O_092_060D_062(X1,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(X2),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar))
    | c_BigStep_Ofinal(X1,tc_List_Olist(tc_String_Ochar))
    | c_in(c_Pair(c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(v_sko__TypeSafe__Mirabelle__XProgress__1(X3,X1,X2),v_sko__TypeSafe__Mirabelle__XProgress__2(X3,X1,X2),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(X3),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))) ),
    c_0_6 ).

cnf(c_0_10,negated_conjecture,
    c_TypeSafe__Mirabelle_Owf__config(v_P,v_E,v_s_H,v_e_H,v_T_H),
    cls_conjecture_7 ).

cnf(c_0_11,negated_conjecture,
    c_DefAss_O_092_060D_062(v_e_H,c_Option_Ooption_OSome(c_Map_Odom(c_State_Olcl(v_s_H),tc_List_Olist(tc_String_Ochar),tc_Value_Oval),tc_fun(tc_List_Olist(tc_String_Ochar),tc_bool)),tc_List_Olist(tc_String_Ochar)),
    cls_conjecture_9 ).

cnf(c_0_12,negated_conjecture,
    c_WellForm_Owf__prog(c_JWellForm_Owf__J__mdecl,v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),
    cls_conjecture_0 ).

cnf(c_0_13,negated_conjecture,
    ~ c_BigStep_Ofinal(v_e_H,tc_List_Olist(tc_String_Ochar)),
    c_0_7 ).

cnf(c_0_14,negated_conjecture,
    ~ c_in(c_Pair(c_Pair(v_e_H,v_s_H,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),c_Pair(X1,X2,tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval))))),c_SmallStep_Ored(v_P),tc_prod(tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))),tc_prod(tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)),tc_prod(tc_fun(tc_nat,tc_Option_Ooption(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval))))),tc_fun(tc_List_Olist(tc_String_Ochar),tc_Option_Ooption(tc_Value_Oval)))))),
    c_0_8 ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12])]),c_0_13]),c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV995-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n013.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 09:36:21 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.21/0.68  % Version: 3.5.1
% 1.21/0.68  % Preprocessing class: FSLMSMSMSSSNFFN.
% 1.21/0.68  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.21/0.68  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 1.21/0.68  % Starting new_bool_3 with 600s (2) cores
% 1.21/0.68  % Starting new_bool_1 with 300s (1) cores
% 1.21/0.68  % Starting sh5l with 300s (1) cores
% 1.21/0.68  % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 462306 completed with status 0
% 1.21/0.68  % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 1.21/0.68  % Preprocessing class: FSLMSMSMSSSNFFN.
% 1.21/0.68  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.21/0.68  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 1.21/0.68  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.21/0.68  % No SInE strategy applied
% 1.21/0.68  % Search class: FGUSM-FSLM33-DFFFFFNN
% 1.21/0.68  % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 1.21/0.68  % Starting SubtermCWHack with 109s (1) cores
% 1.21/0.68  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 1.21/0.68  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 135s (1) cores
% 1.21/0.68  % Starting new_bool_3 with 135s (1) cores
% 1.21/0.68  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 462316 completed with status 0
% 1.21/0.68  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 1.21/0.68  % Preprocessing class: FSLMSMSMSSSNFFN.
% 1.21/0.68  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.21/0.68  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 1.21/0.68  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.21/0.68  % No SInE strategy applied
% 1.21/0.68  % Search class: FGUSM-FSLM33-DFFFFFNN
% 1.21/0.68  % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 1.21/0.68  % Starting SubtermCWHack with 109s (1) cores
% 1.21/0.68  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 1.21/0.68  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 135s (1) cores
% 1.21/0.68  % Preprocessing time       : 0.011 s
% 1.21/0.68  % Presaturation interreduction done
% 1.21/0.68  
% 1.21/0.68  % Proof found!
% 1.21/0.68  % SZS status Unsatisfiable
% 1.21/0.68  % SZS output start CNFRefutation
% See solution above
% 1.21/0.68  % Parsed axioms                        : 524
% 1.21/0.68  % Removed by relevancy pruning/SinE    : 0
% 1.21/0.68  % Initial clauses                      : 524
% 1.21/0.68  % Removed in clause preprocessing      : 2
% 1.21/0.68  % Initial clauses in saturation        : 522
% 1.21/0.68  % Processed clauses                    : 1101
% 1.21/0.68  % ...of these trivial                  : 15
% 1.21/0.68  % ...subsumed                          : 201
% 1.21/0.68  % ...remaining for further processing  : 885
% 1.21/0.68  % Other redundant clauses eliminated   : 9
% 1.21/0.68  % Clauses deleted for lack of memory   : 0
% 1.21/0.68  % Backward-subsumed                    : 0
% 1.21/0.68  % Backward-rewritten                   : 1
% 1.21/0.68  % Generated clauses                    : 2443
% 1.21/0.68  % ...of the previous two non-redundant : 1940
% 1.21/0.68  % ...aggressively subsumed             : 0
% 1.21/0.68  % Contextual simplify-reflections      : 0
% 1.21/0.68  % Paramodulations                      : 2399
% 1.21/0.68  % Factorizations                       : 2
% 1.21/0.68  % NegExts                              : 0
% 1.21/0.68  % Equation resolutions                 : 42
% 1.21/0.68  % Disequality decompositions           : 0
% 1.21/0.68  % Total rewrite steps                  : 779
% 1.21/0.68  % ...of those cached                   : 578
% 1.21/0.68  % Propositional unsat checks           : 0
% 1.21/0.68  %    Propositional check models        : 0
% 1.21/0.68  %    Propositional check unsatisfiable : 0
% 1.21/0.68  %    Propositional clauses             : 0
% 1.21/0.68  %    Propositional clauses after purity: 0
% 1.21/0.68  %    Propositional unsat core size     : 0
% 1.21/0.68  %    Propositional preprocessing time  : 0.000
% 1.21/0.68  %    Propositional encoding time       : 0.000
% 1.21/0.68  %    Propositional solver time         : 0.000
% 1.21/0.68  %    Success case prop preproc time    : 0.000
% 1.21/0.68  %    Success case prop encoding time   : 0.000
% 1.21/0.68  %    Success case prop solver time     : 0.000
% 1.21/0.68  % Current number of processed clauses  : 460
% 1.21/0.68  %    Positive orientable unit clauses  : 100
% 1.21/0.68  %    Positive unorientable unit clauses: 6
% 1.21/0.68  %    Negative unit clauses             : 68
% 1.21/0.68  %    Non-unit-clauses                  : 286
% 1.21/0.68  % Current number of unprocessed clauses: 1784
% 1.21/0.68  % ...number of literals in the above   : 5008
% 1.21/0.68  % Current number of archived formulas  : 0
% 1.21/0.68  % Current number of archived clauses   : 426
% 1.21/0.68  % Clause-clause subsumption calls (NU) : 114035
% 1.21/0.68  % Rec. Clause-clause subsumption calls : 51378
% 1.21/0.68  % Non-unit clause-clause subsumptions  : 132
% 1.21/0.68  % Unit Clause-clause subsumption calls : 4998
% 1.21/0.68  % Rewrite failures with RHS unbound    : 22
% 1.21/0.68  % BW rewrite match attempts            : 708
% 1.21/0.68  % BW rewrite match successes           : 57
% 1.21/0.68  % Condensation attempts                : 0
% 1.21/0.68  % Condensation successes               : 0
% 1.21/0.68  % Termbank termtop insertions          : 155053
% 1.21/0.68  % Search garbage collected termcells   : 1219
% 1.21/0.68  
% 1.21/0.68  % -------------------------------------------------
% 1.21/0.68  % User time                : 0.178 s
% 1.21/0.68  % System time              : 0.014 s
% 1.21/0.68  % Total time               : 0.192 s
% 1.21/0.68  % Maximum resident set size: 4328 pages
% 1.21/0.68  
% 1.21/0.68  % -------------------------------------------------
% 1.21/0.68  % User time                : 0.618 s
% 1.21/0.68  % System time              : 0.064 s
% 1.21/0.68  % Total time               : 0.682 s
% 1.21/0.68  % Maximum resident set size: 5376 pages
% 1.21/0.68  % E exiting
%------------------------------------------------------------------------------