%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : SWV966-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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  : 300s
% DateTime : Fri May 19 12:19:37 EDT 2023

% Result   : Unsatisfiable 7.77s 2.67s
% Output   : Refutation 8.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  399
% Syntax   : Number of formulae    :  739 ( 485 unt;  60 typ;   0 def)
%            Number of atoms       :  981 ( 612 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives : 7894 ( 716   ~; 302   |;   0   &;6876   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  156 ( 156   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   62 (  60 usr;  19 con; 0-18 aty)
%            Number of variables   : 4118 (   0   ^;4118   !;   0   ?;4118   :)

% Comments : 
%------------------------------------------------------------------------------
thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i ).

thf(c_TypeRel_Owiden_type,type,
    c_TypeRel_Owiden: $i > $i > $i ).

thf(v_P_type,type,
    v_P: $i ).

thf(tc_prod_type,type,
    tc_prod: $i > $i > $i ).

thf(tc_List_Olist_type,type,
    tc_List_Olist: $i > $i ).

thf(tc_String_Ochar_type,type,
    tc_String_Ochar: $i ).

thf(tc_Expr_Oexp_type,type,
    tc_Expr_Oexp: $i > $i ).

thf(v_T_____type,type,
    v_T____: $i ).

thf(c_WellTypeRT_OWTrt_type,type,
    c_WellTypeRT_OWTrt: $i > $i > $i > $i > $i > $o ).

thf(v_h_Ha_____type,type,
    v_h_Ha____: $i ).

thf(v_E_____type,type,
    v_E____: $i ).

thf(c_Expr_Oexp_OCall_type,type,
    c_Expr_Oexp_OCall: $i > $i > $i > $i > $i ).

thf(v_e_Ha_____type,type,
    v_e_Ha____: $i ).

thf(v_M_____type,type,
    v_M____: $i ).

thf(v_esa_____type,type,
    v_esa____: $i ).

thf(c_DefAss_O_092_060D_062_type,type,
    c_DefAss_O_092_060D_062: $i > $i > $i > $o ).

thf(c_Expr_Oexp_Othrow_type,type,
    c_Expr_Oexp_Othrow: $i > $i > $i ).

thf(c_Expr_Oexp_OTryCatch_type,type,
    c_Expr_Oexp_OTryCatch: $i > $i > $i > $i > $i > $i ).

thf(c_Expr_Oexp_Onew_type,type,
    c_Expr_Oexp_Onew: $i > $i > $i ).

thf(c_Expr_Oexp_OFAcc_type,type,
    c_Expr_Oexp_OFAcc: $i > $i > $i > $i > $i ).

thf(c_Expr_Oexp_OCond_type,type,
    c_Expr_Oexp_OCond: $i > $i > $i > $i > $i ).

thf(c_Expr_Oexp_OBlock_type,type,
    c_Expr_Oexp_OBlock: $i > $i > $i > $i > $i ).

thf(c_Expr_Oexp_OVal_type,type,
    c_Expr_Oexp_OVal: $i > $i > $i ).

thf(c_Expr_Oexp_OVar_type,type,
    c_Expr_Oexp_OVar: $i > $i > $i ).

thf(c_Expr_Oexp_OLAss_type,type,
    c_Expr_Oexp_OLAss: $i > $i > $i > $i ).

thf(c_Expr_Oexp_OBinOp_type,type,
    c_Expr_Oexp_OBinOp: $i > $i > $i > $i > $i ).

thf(c_Type_Oty_ONT_type,type,
    c_Type_Oty_ONT: $i ).

thf(c_Type_Oty_OBoolean_type,type,
    c_Type_Oty_OBoolean: $i ).

thf(c_Expr_Oexp_OFAss_type,type,
    c_Expr_Oexp_OFAss: $i > $i > $i > $i > $i > $i ).

thf(c_COMBI_type,type,
    c_COMBI: $i > $i > $i ).

thf(c_Expr_Oexp_OSeq_type,type,
    c_Expr_Oexp_OSeq: $i > $i > $i > $i ).

thf(c_Expr_Oexp_OWhile_type,type,
    c_Expr_Oexp_OWhile: $i > $i > $i > $i ).

thf(c_Expr_Oexp_OCast_type,type,
    c_Expr_Oexp_OCast: $i > $i > $i > $i ).

thf(c_List_Olist__all2_type,type,
    c_List_Olist__all2: $i > $i > $i > $i > $i > $o ).

thf(c_fequal_type,type,
    c_fequal: $i > $i ).

thf(c_Pair_type,type,
    c_Pair: $i > $i > $i > $i > $i ).

thf(c_Objects_Ohext_type,type,
    c_Objects_Ohext: $i > $i > $o ).

thf(c_Map_Omap__le_type,type,
    c_Map_Omap__le: $i > $i > $i > $i > $o ).

thf(c_WellTypeRT_OWTrts_type,type,
    c_WellTypeRT_OWTrts: $i > $i > $i > $i > $i > $o ).

thf(c_Conform_Oconf_type,type,
    c_Conform_Oconf: $i > $i > $i > $i > $i > $o ).

thf(c_SmallStep_Oredp_type,type,
    c_SmallStep_Oredp: $i > $i > $i > $i > $i > $o ).

thf(c_Expr_Oexp_Oexp__case_type,type,
    c_Expr_Oexp_Oexp__case: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(tc_Type_Oty_type,type,
    tc_Type_Oty: $i ).

thf(v_sko__local__XIH__1_type,type,
    v_sko__local__XIH__1: $i > $i > $i > $i > $i > $i ).

thf(v_ha_____type,type,
    v_ha____: $i ).

thf(v_ea_____type,type,
    v_ea____: $i ).

thf(c_TypeSafe__Mirabelle_Osconf_type,type,
    c_TypeSafe__Mirabelle_Osconf: $i > $i > $i > $o ).

thf(v_la_____type,type,
    v_la____: $i ).

thf(tc_fun_type,type,
    tc_fun: $i > $i > $i ).

thf(tc_nat_type,type,
    tc_nat: $i ).

thf(tc_Option_Ooption_type,type,
    tc_Option_Ooption: $i > $i ).

thf(tc_Value_Oval_type,type,
    tc_Value_Oval: $i ).

thf(c_WellType_OWT_type,type,
    c_WellType_OWT: $i > $i > $i > $i > $o ).

thf(v_Ts_____type,type,
    v_Ts____: $i ).

thf(v_sko__local__XCallObj__2__1_type,type,
    v_sko__local__XCallObj__2__1: $i > $i > $i > $i > $i > $i ).

thf(t_a_type,type,
    t_a: $i ).

thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1_type,type,
    c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: $i > $i > $i > $i > $i > $i > $i > $i > $i ).

thf(v_sko__local__XCallObj__Xhyps__2__1_type,type,
    v_sko__local__XCallObj__Xhyps__2__1: $i > $i > $i > $i > $i > $i ).

thf(c_Progress_OWTrt_H_type,type,
    c_Progress_OWTrt_H: $i > $i > $i > $i > $i > $o ).

thf(99,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I58_J_0) ).

thf(629,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).

thf(286,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OSeq @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
      | ~ ( c_Progress_OWTrt_H @ A @ B @ C @ E @ F )
      | ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I18_J_0) ).

thf(1168,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OSeq @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
      | ~ ( c_Progress_OWTrt_H @ A @ B @ C @ E @ F )
      | ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).

thf(4,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_Othrow @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I40_J_0) ).

thf(347,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_Othrow @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(313,axiom,
    ! [B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ A ) @ B ) @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).

thf(1237,plain,
    ! [B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ A ) @ B ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).

thf(191,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I126_J_0) ).

thf(909,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).

thf(186,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I38_J_0) ).

thf(893,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).

thf(61,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OVar @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I127_J_0) ).

thf(518,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OVar @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(290,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
      | ( C = G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_2) ).

thf(1179,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
      | ( C = G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).

thf(148,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I24_J_0) ).

thf(777,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).

thf(248,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I157_J_0) ).

thf(1083,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).

thf(208,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
      | ( B = F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_1) ).

thf(962,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
      | ( B = F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).

thf(298,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellType_OWT @ A @ B @ C @ D )
      | ~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OTryCatch @ C @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_0) ).

thf(1200,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellType_OWT @ A @ B @ C @ D )
      | ~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OTryCatch @ C @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).

thf(24,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I208_J_0) ).

thf(408,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(303,axiom,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OVar @ P @ Q ) @ R @ Q )
      = ( hAPP @ E @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I230_J_0) ).

thf(1211,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OVar @ P @ Q ) @ R @ Q )
      = ( hAPP @ E @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).

thf(281,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I191_J_0) ).

thf(1158,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).

thf(117,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I201_J_0) ).

thf(683,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).

thf(244,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Othrow @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I166_J_0) ).

thf(1073,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Othrow @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).

thf(179,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I200_J_0) ).

thf(873,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).

thf(328,axiom,
    ! [C: $i,B: $i,A: $i] : ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ C @ tc_Type_Oty @ tc_Type_Oty ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widens__refl_0) ).

thf(1269,plain,
    ! [C: $i,B: $i,A: $i] : ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ C @ tc_Type_Oty @ tc_Type_Oty ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).

thf(181,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OVar @ F @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I135_J_0) ).

thf(878,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OVar @ F @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).

thf(233,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I59_J_0) ).

thf(1041,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).

thf(288,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCall @ P @ Q @ R @ S ) @ T @ S )
      = ( hAPP @ ( hAPP @ ( hAPP @ I @ P ) @ Q ) @ R ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I234_J_0) ).

thf(1173,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCall @ P @ Q @ R @ S ) @ T @ S )
      = ( hAPP @ ( hAPP @ ( hAPP @ I @ P ) @ Q ) @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).

thf(16,axiom,
    ! [B: $i,A: $i] :
      ( ( c_COMBI @ A @ B )
      = A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def_0) ).

thf(384,plain,
    ! [B: $i,A: $i] :
      ( ( c_COMBI @ A @ B )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(271,axiom,
    c_WellTypeRT_OWTrts @ v_P @ v_ha____ @ v_E____ @ v_esa____ @ v_Ts____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wtes_0) ).

thf(1137,plain,
    c_WellTypeRT_OWTrts @ v_P @ v_ha____ @ v_E____ @ v_esa____ @ v_Ts____,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).

thf(45,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OSeq @ A @ D @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I11_J_0) ).

thf(472,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OSeq @ A @ D @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(311,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OSeq @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ E @ F )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtSeq_0) ).

thf(1233,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OSeq @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ E @ F )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).

thf(161,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_Onew @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I35_J_0) ).

thf(814,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_Onew @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).

thf(324,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
      | ~ ( c_WellType_OWT @ A @ D @ E @ C )
      | ~ ( c_WellType_OWT @ A @ D @ F @ B )
      | ~ ( c_WellType_OWT @ A @ D @ G @ c_Type_Oty_OBoolean )
      | ( c_WellType_OWT @ A @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTCond_2) ).

thf(1260,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
      | ~ ( c_WellType_OWT @ A @ D @ E @ C )
      | ~ ( c_WellType_OWT @ A @ D @ F @ B )
      | ~ ( c_WellType_OWT @ A @ D @ G @ c_Type_Oty_OBoolean )
      | ( c_WellType_OWT @ A @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).

thf(68,axiom,
    ! [C: $i,B: $i,A: $i] : ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Onew @ A @ B ) @ C @ B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I1_J_0) ).

thf(538,plain,
    ! [C: $i,B: $i,A: $i] : ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Onew @ A @ B ) @ C @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(307,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I185_J_0) ).

thf(1222,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).

thf(240,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I179_J_0) ).

thf(1063,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).

thf(1,negated_conjecture,
    ! [A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A ) @ v_T____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ ( c_Expr_Oexp_OCall @ v_e_Ha____ @ v_M____ @ v_esa____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(340,plain,
    ! [A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A ) @ v_T____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ ( c_Expr_Oexp_OCall @ v_e_Ha____ @ v_M____ @ v_esa____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(297,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
      | ( B = F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_1) ).

thf(1196,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
      | ( B = F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).

thf(220,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I53_J_0) ).

thf(1001,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).

thf(77,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I111_J_0) ).

thf(565,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(326,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
      | ~ ( c_Map_Omap__le @ F @ C @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ F @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__env__mono_0) ).

thf(1265,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
      | ~ ( c_Map_Omap__le @ F @ C @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ F @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).

thf(169,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OVar @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I131_J_0) ).

thf(841,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OVar @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).

thf(27,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
       != ( c_Expr_Oexp_OSeq @ D @ E @ C ) )
      | ( A = D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_0) ).

thf(417,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
       != ( c_Expr_Oexp_OSeq @ D @ E @ C ) )
      | ( A = D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(309,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ F @ C )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ G @ B )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
      | ( c_Progress_OWTrt_H @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_2) ).

thf(1228,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ F @ C )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ G @ B )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
      | ( c_Progress_OWTrt_H @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).

thf(321,axiom,
    c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OCall @ v_ea____ @ v_M____ @ v_esa____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_0) ).

thf(1254,plain,
    c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OCall @ v_ea____ @ v_M____ @ v_esa____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).

thf(18,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OVar @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I117_J_0) ).

thf(389,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OVar @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(130,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OBinOp @ F @ G @ H @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I115_J_0) ).

thf(724,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OBinOp @ F @ G @ H @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).

thf(151,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OLAss @ F @ G @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I153_J_0) ).

thf(785,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OLAss @ F @ G @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).

thf(12,axiom,
    c_Type_Oty_ONT != c_Type_Oty_OBoolean,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I13_J_0) ).

thf(372,plain,
    c_Type_Oty_ONT != c_Type_Oty_OBoolean,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(56,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_Onew @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I39_J_0) ).

thf(504,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_Onew @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(84,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I67_J_0) ).

thf(587,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(3,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_Onew @ F @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I43_J_0) ).

thf(344,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_Onew @ F @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(333,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Conform_Oconf @ A @ B @ C @ D @ E )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ E ) @ F ) @ D ) )
      | ~ ( c_Conform_Oconf @ A @ B @ C @ F @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conf__widen_0) ).

thf(1279,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Conform_Oconf @ A @ B @ C @ D @ E )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ E ) @ F ) @ D ) )
      | ~ ( c_Conform_Oconf @ A @ B @ C @ F @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).

thf(269,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCall @ F @ G @ H @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I170_J_0) ).

thf(1132,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCall @ F @ G @ H @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).

thf(204,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
      | ( A = E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_0) ).

thf(949,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
      | ( A = E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).

thf(70,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I100_J_0) ).

thf(542,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(123,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OVal @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I85_J_0) ).

thf(702,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OVal @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).

thf(140,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Onew @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I21_J_0) ).

thf(751,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Onew @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).

thf(199,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I32_J_0) ).

thf(934,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).

thf(7,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OVar @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I72_J_0) ).

thf(357,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OVar @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(295,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I141_J_0) ).

thf(1191,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).

thf(162,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_Onew @ A @ B )
       != ( c_Expr_Oexp_Onew @ C @ B ) )
      | ( A = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I1_J_0) ).

thf(817,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_Onew @ A @ B )
       != ( c_Expr_Oexp_Onew @ C @ B ) )
      | ( A = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).

thf(102,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I63_J_0) ).

thf(638,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).

thf(276,axiom,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_Othrow @ P @ Q ) @ R @ Q )
      = ( hAPP @ N @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I239_J_0) ).

thf(1147,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_Othrow @ P @ Q ) @ R @ Q )
      = ( hAPP @ N @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).

thf(318,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ B @ C @ A @ D @ E @ F @ G @ H ) ) @ D ) )
      | ~ ( c_WellTypeRT_OWTrt @ A @ H @ C @ ( c_Expr_Oexp_OTryCatch @ F @ B @ E @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_2) ).

thf(1247,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ B @ C @ A @ D @ E @ F @ G @ H ) ) @ D ) )
      | ~ ( c_WellTypeRT_OWTrt @ A @ H @ C @ ( c_Expr_Oexp_OTryCatch @ F @ B @ E @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).

thf(210,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OVal @ F @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I93_J_0) ).

thf(969,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OVal @ F @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).

thf(224,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
       != ( c_Expr_Oexp_OLAss @ D @ E @ C ) )
      | ( A = D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_0) ).

thf(1013,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
       != ( c_Expr_Oexp_OLAss @ D @ E @ C ) )
      | ( A = D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).

thf(182,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I60_J_0) ).

thf(881,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).

thf(261,axiom,
    c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_esa____ @ v_Ts____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).

thf(1115,plain,
    c_WellTypeRT_OWTrts @ v_P @ v_h_Ha____ @ v_E____ @ v_esa____ @ v_Ts____,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).

thf(28,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I196_J_0) ).

thf(421,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(178,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I224_J_0) ).

thf(870,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).

thf(52,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Othrow @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I202_J_0) ).

thf(492,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Othrow @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(258,axiom,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OSeq @ P @ Q @ R ) @ S @ R )
      = ( hAPP @ ( hAPP @ K @ P ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I236_J_0) ).

thf(1109,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OSeq @ P @ Q @ R ) @ S @ R )
      = ( hAPP @ ( hAPP @ K @ P ) @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).

thf(97,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I147_J_0) ).

thf(623,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).

thf(167,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I152_J_0) ).

thf(834,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).

thf(163,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I161_J_0) ).

thf(821,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).

thf(48,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I49_J_0) ).

thf(480,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(278,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I140_J_0) ).

thf(1151,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).

thf(200,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Othrow @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I216_J_0) ).

thf(937,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Othrow @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).

thf(226,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_Onew @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I17_J_0) ).

thf(1020,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_Onew @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).

thf(80,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_Othrow @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I150_J_0) ).

thf(574,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_Othrow @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(6,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
      | ( A = E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_0) ).

thf(353,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
      | ( A = E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(209,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I165_J_0) ).

thf(966,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).

thf(291,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OSeq @ B @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D @ ( c_Expr_Oexp_OSeq @ E @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
      | ~ ( c_SmallStep_Oredp @ A @ B @ D @ E @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OSeqRed_0) ).

thf(1183,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OSeq @ B @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D @ ( c_Expr_Oexp_OSeq @ E @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
      | ~ ( c_SmallStep_Oredp @ A @ B @ D @ E @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).

thf(335,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ F @ C )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ G @ B )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
      | ( c_WellTypeRT_OWTrt @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtCond_0) ).

thf(1283,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ F @ C )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ G @ B )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
      | ( c_WellTypeRT_OWTrt @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).

thf(120,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I130_J_0) ).

thf(692,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).

thf(206,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVal @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I77_J_0) ).

thf(956,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVal @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).

thf(39,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_Othrow @ F @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I180_J_0) ).

thf(453,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_Othrow @ F @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(20,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OTryCatch @ A @ D @ E @ F @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I15_J_0) ).

thf(396,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OTryCatch @ A @ D @ E @ F @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(219,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I84_J_0) ).

thf(998,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).

thf(25,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
      | ( B = G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_1) ).

thf(411,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
      | ( B = G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(57,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I222_J_0) ).

thf(507,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(64,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OLAss @ D @ A @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I6_J_0) ).

thf(527,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OLAss @ D @ A @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(263,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellType_OWT @ A @ B @ C @ D )
      | ~ ( c_Map_Omap__le @ E @ B @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
      | ~ ( c_WellType_OWT @ A @ E @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt__env__mono_0) ).

thf(1119,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellType_OWT @ A @ B @ C @ D )
      | ~ ( c_Map_Omap__le @ E @ B @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
      | ~ ( c_WellType_OWT @ A @ E @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).

thf(147,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I78_J_0) ).

thf(774,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).

thf(256,axiom,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OVal @ P @ Q ) @ R @ Q )
      = ( hAPP @ C @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I228_J_0) ).

thf(1104,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OVal @ P @ Q ) @ R @ Q )
      = ( hAPP @ C @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).

thf(316,axiom,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OWhile @ P @ Q @ R ) @ S @ R )
      = ( hAPP @ ( hAPP @ M @ P ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I238_J_0) ).

thf(1242,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OWhile @ P @ Q @ R ) @ S @ R )
      = ( hAPP @ ( hAPP @ M @ P ) @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).

thf(301,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVar @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I123_J_0) ).

thf(1206,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVar @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).

thf(115,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OFAcc @ F @ G @ H @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I169_J_0) ).

thf(678,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OFAcc @ F @ G @ H @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).

thf(65,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I204_J_0) ).

thf(529,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(154,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVar @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I125_J_0) ).

thf(793,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVar @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).

thf(196,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVar @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I94_J_0) ).

thf(925,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVar @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).

thf(143,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I114_J_0) ).

thf(761,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).

thf(15,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OVal @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I18_J_0) ).

thf(381,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OVal @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(10,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I96_J_0) ).

thf(366,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(127,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
      | ( B = F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_1) ).

thf(714,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
      | ( B = F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).

thf(235,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I61_J_0) ).

thf(1047,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).

thf(156,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OVar @ F @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I121_J_0) ).

thf(798,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OVar @ F @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).

thf(283,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OBinOp @ P @ Q @ R @ S ) @ T @ S )
      = ( hAPP @ ( hAPP @ ( hAPP @ D @ P ) @ Q ) @ R ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I229_J_0) ).

thf(1163,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OBinOp @ P @ Q @ R @ S ) @ T @ S )
      = ( hAPP @ ( hAPP @ ( hAPP @ D @ P ) @ Q ) @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).

thf(331,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I122_J_0) ).

thf(1274,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).

thf(322,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
      | ~ ( c_WellType_OWT @ A @ C @ D @ B )
      | ~ ( c_WellType_OWT @ A @ C @ E @ B )
      | ~ ( c_WellType_OWT @ A @ C @ F @ c_Type_Oty_OBoolean )
      | ( c_WellType_OWT @ A @ C @ ( c_Expr_Oexp_OCond @ F @ E @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTCond_1) ).

thf(1255,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
      | ~ ( c_WellType_OWT @ A @ C @ D @ B )
      | ~ ( c_WellType_OWT @ A @ C @ E @ B )
      | ~ ( c_WellType_OWT @ A @ C @ F @ c_Type_Oty_OBoolean )
      | ( c_WellType_OWT @ A @ C @ ( c_Expr_Oexp_OCond @ F @ E @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).

thf(265,axiom,
    ! [B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ A @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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/sandbox/benchmark/theBenchmark.p',cls_IH_0) ).

thf(1123,plain,
    ! [B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ A @ v_e_Ha____ @ ( v_sko__local__XIH__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).

thf(76,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
      | ( A = E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_0) ).

thf(561,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
      | ( A = E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(19,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
      | ( B = G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_1) ).

thf(392,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
      | ( B = G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(29,axiom,
    ! [C: $i,B: $i,A: $i] : ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OVal @ A @ B ) @ C @ B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I3_J_0) ).

thf(424,plain,
    ! [C: $i,B: $i,A: $i] : ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OVal @ A @ B ) @ C @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(31,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OVar @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I22_J_0) ).

thf(429,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OVar @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(152,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Map_Omap__le @ A @ B @ C @ D )
      | ~ ( c_Map_Omap__le @ E @ B @ C @ D )
      | ~ ( c_Map_Omap__le @ A @ E @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__trans_0) ).

thf(788,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Map_Omap__le @ A @ B @ C @ D )
      | ~ ( c_Map_Omap__le @ E @ B @ C @ D )
      | ~ ( c_Map_Omap__le @ A @ E @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).

thf(314,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ E @ B )
      | ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ F @ B )
      | ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ G @ c_Type_Oty_OBoolean )
      | ( c_WellTypeRT_OWTrt @ A @ C @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtCond_1) ).

thf(1238,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ E @ B )
      | ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ F @ B )
      | ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ G @ c_Type_Oty_OBoolean )
      | ( c_WellTypeRT_OWTrt @ A @ C @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).

thf(193,axiom,
    c_Type_Oty_OBoolean != c_Type_Oty_ONT,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I12_J_0) ).

thf(916,plain,
    c_Type_Oty_OBoolean != c_Type_Oty_ONT,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).

thf(230,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_Onew @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I41_J_0) ).

thf(1032,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_Onew @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).

thf(33,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I47_J_0) ).

thf(435,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(111,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Othrow @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I112_J_0) ).

thf(665,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Othrow @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).

thf(83,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
      | ( C = G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_2) ).

thf(583,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
      | ( C = G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(246,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OCond @ B @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E @ ( c_Expr_Oexp_OCond @ F @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
      | ~ ( c_SmallStep_Oredp @ A @ B @ E @ F @ G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OCondRed_0) ).

thf(1079,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OCond @ B @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E @ ( c_Expr_Oexp_OCond @ F @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
      | ~ ( c_SmallStep_Oredp @ A @ B @ E @ F @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).

thf(334,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OTryCatch @ B @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F @ ( c_Expr_Oexp_OTryCatch @ G @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ H )
      | ~ ( c_SmallStep_Oredp @ A @ B @ F @ G @ H ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OTryRed_0) ).

thf(1281,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OTryCatch @ B @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F @ ( c_Expr_Oexp_OTryCatch @ G @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ H )
      | ~ ( c_SmallStep_Oredp @ A @ B @ F @ G @ H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).

thf(40,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I154_J_0) ).

thf(456,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(257,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I194_J_0) ).

thf(1106,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).

thf(73,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I62_J_0) ).

thf(551,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(267,axiom,
    c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ c_Type_Oty_ONT,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

thf(1128,plain,
    c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ c_Type_Oty_ONT,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).

thf(137,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I108_J_0) ).

thf(742,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).

thf(274,axiom,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OLAss @ P @ Q @ R ) @ S @ R )
      = ( hAPP @ ( hAPP @ F @ P ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I231_J_0) ).

thf(1143,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OLAss @ P @ Q @ R ) @ S @ R )
      = ( hAPP @ ( hAPP @ F @ P ) @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).

thf(329,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OCall @ B @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E @ ( c_Expr_Oexp_OCall @ F @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
      | ~ ( c_SmallStep_Oredp @ A @ B @ E @ F @ G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_redp__redsp_OCallObj_0) ).

thf(1270,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OCall @ B @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E @ ( c_Expr_Oexp_OCall @ F @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
      | ~ ( c_SmallStep_Oredp @ A @ B @ E @ F @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).

thf(106,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OSeq @ F @ G @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I174_J_0) ).

thf(650,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OSeq @ F @ G @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).

thf(225,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I182_J_0) ).

thf(1017,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).

thf(94,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCast @ A @ B @ C ) @ D @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ B @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I2_J_1) ).

thf(615,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCast @ A @ B @ C ) @ D @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ B @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(264,axiom,
    ! [B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XCallObj__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) ) @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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/sandbox/benchmark/theBenchmark.p',cls_CallObj_I2_J_1) ).

thf(1121,plain,
    ! [B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XCallObj__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) ) @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).

thf(259,axiom,
    ! [B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) ) @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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/sandbox/benchmark/theBenchmark.p',cls_IH_1) ).

thf(1111,plain,
    ! [B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XIH__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) ) @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).

thf(253,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ D @ tc_Type_Oty @ tc_Type_Oty )
      | ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ E @ D @ tc_Type_Oty @ tc_Type_Oty )
      | ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ E @ tc_Type_Oty @ tc_Type_Oty ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widens__trans_0) ).

thf(1096,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ D @ tc_Type_Oty @ tc_Type_Oty )
      | ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ E @ D @ tc_Type_Oty @ tc_Type_Oty )
      | ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ E @ tc_Type_Oty @ tc_Type_Oty ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).

thf(272,axiom,
    ( ( c_COMBI @ v_P @ t_a )
    = v_P ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).

thf(1138,plain,
    ( ( c_COMBI @ v_P @ t_a )
    = v_P ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).

thf(86,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I64_J_0) ).

thf(593,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(150,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OBinOp @ A @ D @ E @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I4_J_0) ).

thf(783,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OBinOp @ A @ D @ E @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).

thf(216,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCond @ F @ G @ H @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I176_J_0) ).

thf(989,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCond @ F @ G @ H @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).

thf(183,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I167_J_0) ).

thf(884,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).

thf(339,axiom,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCast @ P @ Q @ R ) @ S @ R )
      = ( hAPP @ ( hAPP @ B @ P ) @ Q ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I227_J_0) ).

thf(1292,plain,
    ! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCast @ P @ Q @ R ) @ S @ R )
      = ( hAPP @ ( hAPP @ B @ P ) @ Q ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).

thf(74,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I206_J_0) ).

thf(554,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(118,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I197_J_0) ).

thf(686,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).

thf(51,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I113_J_0) ).

thf(489,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(85,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I86_J_0) ).

thf(590,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(168,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
      | ( D = I ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_3) ).

thf(837,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
      | ( D = I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).

thf(105,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I95_J_0) ).

thf(647,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).

thf(215,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
      | ( A = F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_0) ).

thf(985,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
      | ( A = F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).

thf(129,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I68_J_0) ).

thf(721,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).

thf(90,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_Othrow @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I66_J_0) ).

thf(605,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_Othrow @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(60,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OBinOp @ F @ G @ H @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I101_J_0) ).

thf(515,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OBinOp @ F @ G @ H @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(319,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I102_J_0) ).

thf(1249,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).

thf(239,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I181_J_0) ).

thf(1060,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).

thf(236,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
       != ( c_Expr_Oexp_OWhile @ D @ E @ C ) )
      | ( A = D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I13_J_0) ).

thf(1050,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
       != ( c_Expr_Oexp_OWhile @ D @ E @ C ) )
      | ( A = D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).

thf(299,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ c_Type_Oty_OBoolean )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OCond @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_0) ).

thf(1202,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ c_Type_Oty_OBoolean )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OCond @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).

thf(249,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ D ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ E ) @ D ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ E ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__trans_0) ).

thf(1086,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ D ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ E ) @ D ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ E ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).

thf(8,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I136_J_0) ).

thf(360,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(158,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCast @ F @ G @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I69_J_0) ).

thf(805,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCast @ F @ G @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).

thf(237,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAcc @ A @ D @ E @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I7_J_0) ).

thf(1054,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAcc @ A @ D @ E @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).

thf(287,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCall @ F @ G @ H @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I195_J_0) ).

thf(1170,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCall @ F @ G @ H @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).

thf(293,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellType_OWT @ A @ B @ C @ c_Type_Oty_OBoolean )
      | ~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OCond @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_0) ).

thf(1187,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellType_OWT @ A @ B @ C @ c_Type_Oty_OBoolean )
      | ~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OCond @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).

thf(228,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I160_J_0) ).

thf(1026,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).

thf(337,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Othrow @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I192_J_0) ).

thf(1286,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Othrow @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).

thf(21,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
       != ( c_Expr_Oexp_OLAss @ D @ E @ C ) )
      | ( B = E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_1) ).

thf(398,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
       != ( c_Expr_Oexp_OLAss @ D @ E @ C ) )
      | ( B = E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(231,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I42_J_0) ).

thf(1035,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).

thf(205,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OVal @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I89_J_0) ).

thf(953,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OVal @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).

thf(292,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
      | ~ ( c_Progress_OWTrt_H @ A @ C @ D @ E @ B )
      | ~ ( c_Progress_OWTrt_H @ A @ C @ D @ F @ B )
      | ~ ( c_Progress_OWTrt_H @ A @ C @ D @ G @ c_Type_Oty_OBoolean )
      | ( c_Progress_OWTrt_H @ A @ C @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_1) ).

thf(1185,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
      | ~ ( c_Progress_OWTrt_H @ A @ C @ D @ E @ B )
      | ~ ( c_Progress_OWTrt_H @ A @ C @ D @ F @ B )
      | ~ ( c_Progress_OWTrt_H @ A @ C @ D @ G @ c_Type_Oty_OBoolean )
      | ( c_Progress_OWTrt_H @ A @ C @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).

thf(110,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OVal @ F @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I79_J_0) ).

thf(662,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OVal @ F @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(128,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVal @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I71_J_0) ).

thf(718,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVal @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).

thf(190,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I52_J_0) ).

thf(906,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).

thf(270,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OFAcc @ P @ Q @ R @ S ) @ T @ S )
      = ( hAPP @ ( hAPP @ ( hAPP @ G @ P ) @ Q ) @ R ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I232_J_0) ).

thf(1135,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OFAcc @ P @ Q @ R @ S ) @ T @ S )
      = ( hAPP @ ( hAPP @ ( hAPP @ G @ P ) @ Q ) @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).

thf(30,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
      | ( C = G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_2) ).

thf(425,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
      | ( C = G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(59,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D ) @ E @ D )
      | ~ ( c_DefAss_O_092_060D_062 @ A @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I7_J_1) ).

thf(513,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D ) @ E @ D )
      | ~ ( c_DefAss_O_092_060D_062 @ A @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(138,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
      | ( D = I ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_3) ).

thf(745,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
      | ( D = I ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).

thf(119,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OVal @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I75_J_0) ).

thf(689,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OVal @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).

thf(36,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OWhile @ F @ G @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I178_J_0) ).

thf(444,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OWhile @ F @ G @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(306,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I187_J_0) ).

thf(1219,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).

thf(164,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I99_J_0) ).

thf(824,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).

thf(13,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OFAcc @ F @ G @ H @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I155_J_0) ).

thf(375,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OFAcc @ F @ G @ H @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(134,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I218_J_0) ).

thf(733,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).

thf(279,axiom,
    ! [B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XCallObj__Xhyps__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) ) @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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/sandbox/benchmark/theBenchmark.p',cls_CallObj_Ohyps_I2_J_1) ).

thf(1154,plain,
    ! [B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XCallObj__Xhyps__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) ) @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).

thf(22,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_Othrow @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I90_J_0) ).

thf(402,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_Othrow @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(266,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I190_J_0) ).

thf(1125,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).

thf(71,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OVar @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I48_J_0) ).

thf(545,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OVar @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(81,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I137_J_0) ).

thf(577,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(126,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I151_J_0) ).

thf(711,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).

thf(103,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I28_J_0) ).

thf(641,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).

thf(54,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OVal @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I44_J_0) ).

thf(498,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OVal @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(43,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I54_J_0) ).

thf(466,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(251,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I189_J_0) ).

thf(1090,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).

thf(194,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I158_J_0) ).

thf(919,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).

thf(5,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I162_J_0) ).

thf(350,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(113,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I34_J_0) ).

thf(672,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).

thf(296,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
      | ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).

thf(1194,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
      | ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).

thf(302,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Progress_OWTrt_H @ A @ B @ C @ D @ E )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).

thf(1209,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Progress_OWTrt_H @ A @ B @ C @ D @ E )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).

thf(188,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OBlock @ F @ G @ H @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I172_J_0) ).

thf(900,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OBlock @ F @ G @ H @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).

thf(166,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I211_J_0) ).

thf(831,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).

thf(116,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Othrow @ A @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I14_J_0) ).

thf(681,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Othrow @ A @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).

thf(223,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OWhile @ A @ D @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I13_J_0) ).

thf(1011,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OWhile @ A @ D @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).

thf(135,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ~ ( c_Map_Omap__le @ B @ A @ C @ D )
      | ~ ( c_Map_Omap__le @ A @ B @ C @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__antisym_0) ).

thf(736,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ~ ( c_Map_Omap__le @ B @ A @ C @ D )
      | ~ ( c_Map_Omap__le @ A @ B @ C @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).

thf(144,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I51_J_0) ).

thf(764,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).

thf(213,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I116_J_0) ).

thf(979,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).

thf(176,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCast @ A @ B @ C )
       != ( c_Expr_Oexp_OCast @ D @ E @ C ) )
      | ( B = E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_1) ).

thf(863,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCast @ A @ B @ C )
       != ( c_Expr_Oexp_OCast @ D @ E @ C ) )
      | ( B = E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).

thf(289,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
      | ( A = E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_0) ).

thf(1175,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
      | ( A = E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).

thf(185,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I92_J_0) ).

thf(890,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).

thf(47,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_Othrow @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I220_J_0) ).

thf(477,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_Othrow @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(160,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I20_J_0) ).

thf(811,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).

thf(142,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I110_J_0) ).

thf(758,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).

thf(174,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Conform_Oconf @ A @ B @ C @ D @ E )
      | ~ ( c_Conform_Oconf @ A @ F @ C @ D @ E )
      | ~ ( c_Objects_Ohext @ F @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conf__hext_0) ).

thf(858,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Conform_Oconf @ A @ B @ C @ D @ E )
      | ~ ( c_Conform_Oconf @ A @ F @ C @ D @ E )
      | ~ ( c_Objects_Ohext @ F @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).

thf(67,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Onew @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I37_J_0) ).

thf(535,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Onew @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(92,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Onew @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I27_J_0) ).

thf(609,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Onew @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(49,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_Othrow @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I210_J_0) ).

thf(483,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_Othrow @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(171,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OSeq @ F @ G @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I213_J_0) ).

thf(848,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OSeq @ F @ G @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).

thf(229,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OVar @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I133_J_0) ).

thf(1029,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OVar @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).

thf(277,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ E @ C @ A @ F @ G @ D @ H @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OTryCatch @ D @ E @ G @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_0) ).

thf(1149,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ E @ C @ A @ F @ G @ D @ H @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OTryCatch @ D @ E @ G @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).

thf(98,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OVal @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I73_J_0) ).

thf(626,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OVal @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).

thf(202,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I199_J_0) ).

thf(943,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).

thf(112,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
      | ( C = H ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_2) ).

thf(668,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
      | ( C = H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).

thf(207,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I149_J_0) ).

thf(959,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).

thf(241,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I144_J_0) ).

thf(1066,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).

thf(149,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I88_J_0) ).

thf(780,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).

thf(91,axiom,
    ! [C: $i,B: $i,A: $i] : ( c_Map_Omap__le @ A @ A @ B @ C ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__refl_0) ).

thf(608,plain,
    ! [C: $i,B: $i,A: $i] : ( c_Map_Omap__le @ A @ A @ B @ C ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(260,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( c_WellType_OWT @ A @ D @ E @ C )
      | ~ ( c_WellType_OWT @ A @ D @ F @ B )
      | ~ ( c_WellType_OWT @ A @ D @ G @ c_Type_Oty_OBoolean )
      | ( c_WellType_OWT @ A @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTCond_0) ).

thf(1113,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( c_WellType_OWT @ A @ D @ E @ C )
      | ~ ( c_WellType_OWT @ A @ D @ F @ B )
      | ~ ( c_WellType_OWT @ A @ D @ G @ c_Type_Oty_OBoolean )
      | ( c_WellType_OWT @ A @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).

thf(172,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
      | ( B = F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_1) ).

thf(851,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
      | ( B = F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).

thf(34,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I98_J_0) ).

thf(438,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(107,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I118_J_0) ).

thf(653,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).

thf(195,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_Onew @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I19_J_0) ).

thf(922,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_Onew @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).

thf(192,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCast @ A @ B @ C )
       != ( c_Expr_Oexp_OCast @ D @ E @ C ) )
      | ( A = D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_0) ).

thf(912,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OCast @ A @ B @ C )
       != ( c_Expr_Oexp_OCast @ D @ E @ C ) )
      | ( A = D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).

thf(62,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I65_J_0) ).

thf(521,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(304,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Onew @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I31_J_0) ).

thf(1213,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Onew @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).

thf(165,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
       != ( c_Expr_Oexp_OWhile @ D @ E @ C ) )
      | ( B = E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I13_J_1) ).

thf(827,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
       != ( c_Expr_Oexp_OWhile @ D @ E @ C ) )
      | ( B = E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).

thf(234,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I76_J_0) ).

thf(1044,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).

thf(121,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
      | ( C = G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_2) ).

thf(695,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
      | ( C = G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).

thf(245,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I146_J_0) ).

thf(1076,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).

thf(114,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I173_J_0) ).

thf(675,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).

thf(285,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OSeq @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E )
      | ~ ( c_WellType_OWT @ A @ B @ D @ E )
      | ~ ( c_WellType_OWT @ A @ B @ C @ F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTSeq_0) ).

thf(1166,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OSeq @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E )
      | ~ ( c_WellType_OWT @ A @ B @ D @ E )
      | ~ ( c_WellType_OWT @ A @ B @ C @ F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).

thf(72,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I221_J_0) ).

thf(548,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(332,axiom,
    ! [B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ A @ v_e_Ha____ @ ( v_sko__local__XCallObj__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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/sandbox/benchmark/theBenchmark.p',cls_CallObj_I2_J_0) ).

thf(1277,plain,
    ! [B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ A @ v_e_Ha____ @ ( v_sko__local__XCallObj__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).

thf(95,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I209_J_0) ).

thf(617,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(2,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Othrow @ A @ B ) @ C @ B )
      | ~ ( c_DefAss_O_092_060D_062 @ A @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I14_J_1) ).

thf(342,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Othrow @ A @ B ) @ C @ B )
      | ~ ( c_DefAss_O_092_060D_062 @ A @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(275,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OCall @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
      | ~ ( c_WellTypeRT_OWTrts @ A @ B @ C @ F @ H )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ c_Type_Oty_ONT ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtCallNT_0) ).

thf(1145,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OCall @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
      | ~ ( c_WellTypeRT_OWTrts @ A @ B @ C @ F @ H )
      | ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ c_Type_Oty_ONT ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).

thf(141,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
      | ( A = E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_0) ).

thf(754,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
      | ( A = E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).

thf(247,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OBlock @ P @ Q @ R @ S ) @ T @ S )
      = ( hAPP @ ( hAPP @ ( hAPP @ J @ P ) @ Q ) @ R ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I235_J_0) ).

thf(1081,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OBlock @ P @ Q @ R @ S ) @ T @ S )
      = ( hAPP @ ( hAPP @ ( hAPP @ J @ P ) @ Q ) @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).

thf(139,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCond @ A @ D @ E @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I12_J_0) ).

thf(749,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCond @ A @ D @ E @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).

thf(75,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Pair @ A @ B @ C @ D )
       != ( c_Pair @ E @ F @ C @ D ) )
      | ( A = E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_0) ).

thf(557,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Pair @ A @ B @ C @ D )
       != ( c_Pair @ E @ F @ C @ D ) )
      | ( A = E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(243,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I207_J_0) ).

thf(1070,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).

thf(308,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I193_J_0) ).

thf(1225,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).

thf(184,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OWhile @ F @ G @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I223_J_0) ).

thf(887,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OWhile @ F @ G @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).

thf(320,axiom,
    ! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OFAss @ P @ Q @ R @ S @ T ) @ U @ T )
      = ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ H @ P ) @ Q ) @ R ) @ S ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I233_J_0) ).

thf(1252,plain,
    ! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OFAss @ P @ Q @ R @ S @ T ) @ U @ T )
      = ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ H @ P ) @ Q ) @ R ) @ S ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).

thf(136,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVal @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I87_J_0) ).

thf(739,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVal @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).

thf(327,axiom,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_Onew @ P @ Q ) @ R @ Q )
      = ( hAPP @ A @ P ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I226_J_0) ).

thf(1267,plain,
    ! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_Onew @ P @ Q ) @ R @ Q )
      = ( hAPP @ A @ P ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).

thf(310,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I156_J_0) ).

thf(1230,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).

thf(254,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I184_J_0) ).

thf(1098,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).

thf(82,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I16_J_0) ).

thf(580,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(173,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I148_J_0) ).

thf(855,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).

thf(124,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I70_J_0) ).

thf(705,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).

thf(280,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ F @ C )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ G @ B )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
      | ( c_WellTypeRT_OWTrt @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtCond_2) ).

thf(1156,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ F @ C )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ G @ B )
      | ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
      | ( c_WellTypeRT_OWTrt @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).

thf(35,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Onew @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I33_J_0) ).

thf(441,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_Onew @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(232,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I26_J_0) ).

thf(1038,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).

thf(42,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I142_J_0) ).

thf(463,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(159,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I138_J_0) ).

thf(808,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).

thf(336,axiom,
    ! [C: $i,B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__refl_0) ).

thf(1285,plain,
    ! [C: $i,B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).

thf(325,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I103_J_0) ).

thf(1262,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).

thf(312,axiom,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCond @ P @ Q @ R @ S ) @ T @ S )
      = ( hAPP @ ( hAPP @ ( hAPP @ L @ P ) @ Q ) @ R ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I237_J_0) ).

thf(1235,plain,
    ! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCond @ P @ Q @ R @ S ) @ T @ S )
      = ( hAPP @ ( hAPP @ ( hAPP @ L @ P ) @ Q ) @ R ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).

thf(323,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I186_J_0) ).

thf(1257,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).

thf(88,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I203_J_0) ).

thf(600,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(131,axiom,
    ! [B: $i,A: $i] : ( c_List_Olist__all2 @ ( c_fequal @ A ) @ B @ B @ A @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__eq_0) ).

thf(727,plain,
    ! [B: $i,A: $i] : ( c_List_Olist__all2 @ ( c_fequal @ A ) @ B @ B @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).

thf(222,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OLAss @ F @ G @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I139_J_0) ).

thf(1008,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OLAss @ F @ G @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).

thf(79,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I215_J_0) ).

thf(571,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
     != ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(180,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OLAss @ A @ B @ C ) @ D @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ B @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I6_J_1) ).

thf(876,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OLAss @ A @ B @ C ) @ D @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ B @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).

thf(315,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
      | ~ ( c_WellType_OWT @ A @ C @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__implies__WTrt_0) ).

thf(1240,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
      | ~ ( c_WellType_OWT @ A @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).

thf(108,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I212_J_0) ).

thf(656,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).

thf(227,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I107_J_0) ).

thf(1023,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).

thf(273,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ C ) @ A ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

thf(1140,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ C ) @ A ) @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).

thf(17,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I120_J_0) ).

thf(386,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(330,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
      | ~ ( c_Objects_Ohext @ F @ B )
      | ~ ( c_WellTypeRT_OWTrt @ A @ F @ C @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__hext__mono_0) ).

thf(1272,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
      | ~ ( c_Objects_Ohext @ F @ B )
      | ~ ( c_WellTypeRT_OWTrt @ A @ F @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).

thf(93,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_Onew @ D @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I25_J_0) ).

thf(612,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_Onew @ D @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(38,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I46_J_0) ).

thf(450,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(9,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVal @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I83_J_0) ).

thf(363,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVal @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(63,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I159_J_0) ).

thf(524,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(53,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I175_J_0) ).

thf(495,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(305,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I188_J_0) ).

thf(1216,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).

thf(294,axiom,
    ! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OTryCatch @ P @ Q @ R @ S @ T ) @ U @ T )
      = ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ O @ P ) @ Q ) @ R ) @ S ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I240_J_0) ).

thf(1189,plain,
    ! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OTryCatch @ P @ Q @ R @ S @ T ) @ U @ T )
      = ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ O @ P ) @ Q ) @ R ) @ S ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).

thf(146,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_Onew @ F @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I29_J_0) ).

thf(771,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_Onew @ F @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).

thf(198,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I45_J_0) ).

thf(931,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).

thf(69,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I36_J_0) ).

thf(539,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(212,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I145_J_0) ).

thf(976,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
     != ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).

thf(189,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I104_J_0) ).

thf(903,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).

thf(338,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I57_J_0) ).

thf(1289,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).

thf(170,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OVal @ A @ B )
       != ( c_Expr_Oexp_OVal @ C @ B ) )
      | ( A = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I3_J_0) ).

thf(844,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OVal @ A @ B )
       != ( c_Expr_Oexp_OVal @ C @ B ) )
      | ( A = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).

thf(122,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I164_J_0) ).

thf(699,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).

thf(187,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
      | ( C = H ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_2) ).

thf(896,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
      | ( C = H ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).

thf(100,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCond @ F @ G @ H @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I219_J_0) ).

thf(632,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCond @ F @ G @ H @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).

thf(317,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I56_J_0) ).

thf(1244,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).

thf(133,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrts @ A @ B @ C @ D @ E )
      | ~ ( c_Objects_Ohext @ F @ B )
      | ~ ( c_WellTypeRT_OWTrts @ A @ F @ C @ D @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrts__hext__mono_0) ).

thf(731,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrts @ A @ B @ C @ D @ E )
      | ~ ( c_Objects_Ohext @ F @ B )
      | ~ ( c_WellTypeRT_OWTrts @ A @ F @ C @ D @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).

thf(218,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I217_J_0) ).

thf(995,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).

thf(203,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I97_J_0) ).

thf(946,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
     != ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).

thf(255,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I30_J_0) ).

thf(1101,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Onew @ A @ B )
     != ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).

thf(78,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_Othrow @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I132_J_0) ).

thf(568,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_Othrow @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(14,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I183_J_0) ).

thf(378,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(58,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I134_J_0) ).

thf(510,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(282,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ F @ C )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ G @ B )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
      | ( c_Progress_OWTrt_H @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_0) ).

thf(1161,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ F @ C )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ G @ B )
      | ~ ( c_Progress_OWTrt_H @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
      | ( c_Progress_OWTrt_H @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).

thf(262,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I80_J_0) ).

thf(1116,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).

thf(96,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I74_J_0) ).

thf(620,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).

thf(37,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OVal @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I91_J_0) ).

thf(447,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_Othrow @ A @ B )
     != ( c_Expr_Oexp_OVal @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(32,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVar @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I129_J_0) ).

thf(432,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVar @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(23,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I105_J_0) ).

thf(405,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(153,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I168_J_0) ).

thf(790,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).

thf(177,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I198_J_0) ).

thf(867,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).

thf(89,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Objects_Ohext @ A @ B )
      | ~ ( c_Objects_Ohext @ C @ B )
      | ~ ( c_Objects_Ohext @ A @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hext__trans_0) ).

thf(603,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Objects_Ohext @ A @ B )
      | ~ ( c_Objects_Ohext @ C @ B )
      | ~ ( c_Objects_Ohext @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(157,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_Othrow @ A @ B )
       != ( c_Expr_Oexp_Othrow @ C @ B ) )
      | ( A = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I14_J_0) ).

thf(801,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_Othrow @ A @ B )
       != ( c_Expr_Oexp_Othrow @ C @ B ) )
      | ( A = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).

thf(238,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
       != ( c_Expr_Oexp_OSeq @ D @ E @ C ) )
      | ( B = E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_1) ).

thf(1056,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
       != ( c_Expr_Oexp_OSeq @ D @ E @ C ) )
      | ( B = E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).

thf(101,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I82_J_0) ).

thf(635,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVal @ A @ B )
     != ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).

thf(66,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I50_J_0) ).

thf(532,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCast @ A @ B @ C )
     != ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(284,axiom,
    c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E____ @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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/sandbox/benchmark/theBenchmark.p',cls_conf_0) ).

thf(1165,plain,
    c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E____ @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).

thf(155,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCast @ D @ A @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I2_J_0) ).

thf(796,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCast @ D @ A @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).

thf(46,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I214_J_0) ).

thf(474,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(145,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
      | ( C = G ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_2) ).

thf(767,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
      | ( C = G ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).

thf(197,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I109_J_0) ).

thf(928,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).

thf(26,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAss @ A @ D @ E @ F @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I8_J_0) ).

thf(415,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAss @ A @ D @ E @ F @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(252,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I171_J_0) ).

thf(1093,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).

thf(132,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I143_J_0) ).

thf(728,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).

thf(268,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVal @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I81_J_0) ).

thf(1129,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVal @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).

thf(175,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I124_J_0) ).

thf(860,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).

thf(87,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OVar @ A @ B )
       != ( c_Expr_Oexp_OVar @ C @ B ) )
      | ( A = C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I5_J_0) ).

thf(596,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OVar @ A @ B )
       != ( c_Expr_Oexp_OVar @ C @ B ) )
      | ( A = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(104,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVar @ E @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I119_J_0) ).

thf(644,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OVar @ E @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).

thf(41,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
      | ( A = F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_0) ).

thf(459,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
       != ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
      | ( A = F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(217,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_Onew @ C @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I23_J_0) ).

thf(992,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_Onew @ C @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).

thf(55,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I106_J_0) ).

thf(501,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(11,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I128_J_0) ).

thf(369,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OVar @ A @ B )
     != ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(214,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OBlock @ F @ G @ H @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I205_J_0) ).

thf(982,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OBlock @ F @ G @ H @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).

thf(221,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Pair @ A @ B @ C @ D )
       != ( c_Pair @ E @ F @ C @ D ) )
      | ( B = F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_1) ).

thf(1004,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Pair @ A @ B @ C @ D )
       != ( c_Pair @ E @ F @ C @ D ) )
      | ( B = F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).

thf(50,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ~ ( c_List_Olist__all2 @ ( c_fequal @ C ) @ A @ B @ C @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list__all2__eq_1) ).

thf(486,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A = B )
      | ~ ( c_List_Olist__all2 @ ( c_fequal @ C ) @ A @ B @ C @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(109,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I163_J_0) ).

thf(659,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).

thf(250,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCall @ A @ D @ E @ C ) @ B @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I9_J_0) ).

thf(1088,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
      | ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCall @ A @ D @ E @ C ) @ B @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).

thf(300,axiom,
    ! [B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ A @ v_e_Ha____ @ ( v_sko__local__XCallObj__Xhyps__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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/sandbox/benchmark/theBenchmark.p',cls_CallObj_Ohyps_I2_J_0) ).

thf(1204,plain,
    ! [B: $i,A: $i] :
      ( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ A @ v_e_Ha____ @ ( v_sko__local__XCallObj__Xhyps__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) )
      | ~ ( c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ A @ v_ea____ @ B )
      | ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_ha____ @ v_la____ @ ( 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(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).

thf(242,axiom,
    ! [A: $i] : ( c_Objects_Ohext @ A @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hext__refl_0) ).

thf(1069,plain,
    ! [A: $i] : ( c_Objects_Ohext @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).

thf(125,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I177_J_0) ).

thf(708,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
     != ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).

thf(211,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
      | ( B = F ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_1) ).

thf(972,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
       != ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
      | ( B = F ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).

thf(44,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCast @ F @ G @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I55_J_0) ).

thf(469,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_OCast @ F @ G @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(201,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_Othrow @ F @ E ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I225_J_0) ).

thf(940,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
     != ( c_Expr_Oexp_Othrow @ F @ E ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).

thf(1294,plain,
    $false,
    inference(e,[status(thm)],[629,1168,347,1237,909,893,518,1179,777,1083,962,1200,408,1211,1158,683,1073,873,1269,878,1041,1173,384,1137,472,1233,814,1260,538,1222,1063,340,1196,1001,565,1265,841,417,1228,1254,389,724,785,372,504,587,344,1279,1132,949,542,702,751,934,357,1191,817,638,1147,1247,969,1013,881,1115,421,870,492,1109,623,834,821,480,1151,937,1020,574,353,966,1183,1283,692,956,453,396,998,411,507,527,1119,774,1104,1242,1206,678,529,793,925,761,381,366,714,1047,798,1163,1274,1255,1123,561,392,424,429,788,1238,916,1032,435,665,583,1079,1281,456,1106,551,1128,742,1143,1270,650,1017,615,1121,1111,1096,1138,593,783,989,884,1292,554,686,489,590,837,647,985,721,605,515,1249,1060,1050,1202,1086,360,805,1054,1170,1187,1026,1286,398,1035,953,1185,662,718,906,1135,425,513,745,689,444,1219,824,375,733,1154,402,1125,545,577,711,641,498,466,1090,919,350,672,1194,1209,900,831,681,1011,736,764,979,863,1175,890,477,811,758,858,535,609,483,848,1029,1149,626,943,668,959,1066,780,608,1113,851,438,653,922,912,521,1213,827,1044,695,1076,675,1166,548,1277,617,342,1145,754,1081,749,557,1070,1225,887,1252,739,1267,1230,1098,580,855,705,1156,441,1038,463,808,1285,1262,1235,1257,600,727,1008,571,876,1240,656,1023,1140,386,1272,612,450,363,524,495,1216,1189,771,931,539,976,903,1289,844,699,896,632,1244,731,995,946,1101,568,378,510,1161,1116,620,447,432,405,790,867,603,801,1056,635,532,1165,796,474,767,928,415,1093,728,1129,860,596,644,459,992,501,369,982,1004,486,659,1088,1204,1069,708,972,469,940]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV966-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.16  % Command  : run_Leo-III %s %d
% 0.15/0.37  % Computer : n022.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Fri May 19 02:44:33 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.97/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.46/1.05  % [INFO] 	 Parsing done (198ms). 
% 1.46/1.06  % [INFO] 	 Running in sequential loop mode. 
% 2.16/1.25  % [INFO] 	 eprover registered as external prover. 
% 2.16/1.26  % [INFO] 	 cvc4 registered as external prover. 
% 2.16/1.26  % [INFO] 	 Scanning for conjecture ... 
% 2.44/1.35  % [INFO] 	 Found a conjecture and 338 axioms. Running axiom selection ... 
% 2.66/1.44  % [INFO] 	 Axiom selection finished. Selected 338 axioms (removed 0 axioms). 
% 3.24/1.54  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 3.24/1.55  % [INFO] 	 Type checking passed. 
% 3.24/1.56  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 7.77/2.66  % External prover 'e' found a proof!
% 7.77/2.67  % [INFO] 	 Killing All external provers ... 
% 7.77/2.67  % Time passed: 2133ms (effective reasoning time: 1600ms)
% 7.77/2.67  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 7.77/2.67  % Axioms used in derivation (338): cls_IH_0, cls_exp_Osimps_I56_J_0, cls_exp_Osimps_I118_J_0, cls_exp_Osimps_I156_J_0, cls_exp_Osimps_I9_J_1, cls_WTSeq_0, cls_exp_Osimps_I92_J_0, cls_exp_Osimps_I184_J_0, cls_exp_Osimps_I195_J_0, cls_exp_Osimps_I103_J_0, cls_CallObj_Ohyps_I2_J_0, cls_exp_Osimps_I218_J_0, cls_exp_Osimps_I213_J_0, cls_list__all2__eq_1, cls_exp_Osimps_I193_J_0, cls_exp_Osimps_I72_J_0, cls_exp_Osimps_I137_J_0, cls_exp_Osimps_I128_J_0, cls_map__le__trans_0, cls_WTrtCallNT_0, cls_exp_Osimps_I10_J_1, cls_exp_Osimps_I225_J_0, cls_exp_Osimps_I138_J_0, cls_exp_Osimps_I81_J_0, cls__092_060D_062___092_060D_062s_Osimps_I7_J_1, cls_exp_Osimps_I165_J_0, cls_exp_Osimps_I7_J_2, cls_redp__redsp_OSeqRed_0, cls_exp_Osimps_I204_J_0, cls_exp_Osimps_I219_J_0, cls_exp_Osimps_I149_J_0, cls_exp_Osimps_I20_J_0, cls_CHAINED_0, cls_exp_Osimps_I42_J_0, cls_exp_Osimps_I190_J_0, cls_exp_Osimps_I221_J_0, cls_WTrtCond_0, cls_exp_Osimps_I15_J_1, cls_exp_Osimps_I227_J_0, cls_exp_Osimps_I11_J_0, cls_exp_Osimps_I28_J_0, cls_exp_Osimps_I115_J_0, cls_redp__redsp_OCallObj_0, cls_exp_Osimps_I25_J_0, cls_exp_Osimps_I211_J_0, cls__092_060D_062___092_060D_062s_Osimps_I15_J_0, cls_exp_Osimps_I36_J_0, cls__092_060D_062___092_060D_062s_Osimps_I6_J_1, cls_exp_Osimps_I22_J_0, cls_exp_Osimps_I19_J_0, cls_WTCond_2, cls_exp_Osimps_I154_J_0, cls_exp_Osimps_I199_J_0, cls_COMBI__def__raw_0, cls_exp_Osimps_I185_J_0, cls_exp_Osimps_I141_J_0, cls_exp_Osimps_I49_J_0, cls_exp_Osimps_I109_J_0, cls_ty_Osimps_I13_J_0, cls_exp_Osimps_I13_J_0, cls_exp_Osimps_I97_J_0, cls_exp_Osimps_I238_J_0, cls_exp_Osimps_I170_J_0, cls_exp_Osimps_I208_J_0, cls_exp_Osimps_I188_J_0, cls_exp_Osimps_I212_J_0, cls_exp_Osimps_I178_J_0, cls_exp_Osimps_I2_J_1, cls_exp_Osimps_I8_J_3, cls_exp_Osimps_I79_J_0, cls_exp_Osimps_I206_J_0, cls_exp_Osimps_I194_J_0, cls_exp_Osimps_I223_J_0, cls_exp_Osimps_I233_J_0, cls_exp_Osimps_I11_J_1, cls_widens__trans_0, cls_exp_Osimps_I40_J_0, cls_exp_Osimps_I124_J_0, cls_WTrt_H__WTrts_H_Ointros_I19_J_2, cls_exp_Osimps_I226_J_0, cls_exp_Osimps_I4_J_1, cls_exp_Osimps_I231_J_0, cls_exp_Osimps_I171_J_0, cls__092_060D_062___092_060D_062s_Osimps_I4_J_0, cls_exp_Osimps_I157_J_0, cls_exp_Osimps_I113_J_0, cls_exp_Osimps_I236_J_0, cls_exp_Osimps_I136_J_0, cls_exp_Osimps_I175_J_0, cls_WTrt__elim__cases_I5_J_2, cls_exp_Osimps_I4_J_0, cls_widen__refl_0, cls_exp_Osimps_I5_J_0, cls_exp_Osimps_I17_J_0, cls_hext__trans_0, cls__092_060D_062___092_060D_062s_Osimps_I2_J_0, cls_exp_Osimps_I160_J_0, cls_exp_Osimps_I228_J_0, cls_exp_Osimps_I84_J_0, cls_exp_Osimps_I67_J_0, cls_exp_Osimps_I131_J_0, cls_exp_Osimps_I209_J_0, cls_exp_Osimps_I116_J_0, cls_hext__refl_0, cls_exp_Osimps_I29_J_0, cls__092_060D_062___092_060D_062s_Osimps_I12_J_0, cls_exp_Osimps_I21_J_0, cls_exp_Osimps_I142_J_0, cls_exp_Osimps_I24_J_0, cls_exp_Osimps_I74_J_0, cls_exp_Osimps_I110_J_0, cls_exp_Osimps_I229_J_0, cls_exp_Osimps_I205_J_0, cls_exp_Osimps_I123_J_0, cls_exp_Osimps_I134_J_0, cls_exp_Osimps_I9_J_0, cls_exp_Osimps_I85_J_0, cls_exp_Osimps_I176_J_0, cls_exp_Osimps_I143_J_0, cls__092_060D_062___092_060D_062s_Osimps_I7_J_0, cls_exp_Osimps_I146_J_0, cls_exp_Osimps_I174_J_0, cls_widens__refl_0, cls_conf__widen_0, cls_exp_Osimps_I172_J_0, cls_exp_Osimps_I139_J_0, cls_exp_Osimps_I43_J_0, cls_redp__redsp_OTryRed_0, cls_exp_Osimps_I148_J_0, cls_CallObj_I2_J_0, cls_exp_Osimps_I10_J_2, cls_conf_0, cls_map__le__refl_0, cls_exp_Osimps_I99_J_0, cls_WTrt__hext__mono_0, cls_exp_Osimps_I23_J_0, cls__092_060D_062___092_060D_062s_Osimps_I1_J_0, cls_exp_Osimps_I46_J_0, cls_CHAINED_0_01, cls_ty_Osimps_I12_J_0, cls_exp_Osimps_I69_J_0, cls_CallObj_I2_J_1, cls_WTrt__env__mono_0, cls_exp_Osimps_I180_J_0, cls_exp_Osimps_I239_J_0, cls_exp_Osimps_I132_J_0, cls_exp_Osimps_I77_J_0, cls_exp_Osimps_I98_J_0, cls_exp_Osimps_I61_J_0, cls_exp_Osimps_I15_J_0, cls_exp_Osimps_I183_J_0, cls_exp_Osimps_I26_J_0, cls_exp_Osimps_I207_J_0, cls_exp_Osimps_I83_J_0, cls_exp_Osimps_I2_J_0, cls_exp_Osimps_I12_J_2, cls_exp_Osimps_I8_J_2, cls_exp_Osimps_I177_J_0, cls_ATP__Linkup_Ofequal__imp__equal_0, cls_exp_Osimps_I76_J_0, cls_exp_Osimps_I70_J_0, cls_exp_Osimps_I27_J_0, cls_exp_Osimps_I89_J_0, cls_exp_Osimps_I62_J_0, cls_exp_Osimps_I186_J_0, cls_exp_Osimps_I210_J_0, cls_CallObj_Ohyps_I2_J_1, cls_exp_Osimps_I159_J_0, cls_exp_Osimps_I105_J_0, cls_exp_Osimps_I220_J_0, cls_exp_Osimps_I112_J_0, cls_exp_Osimps_I60_J_0, cls_exp_Osimps_I122_J_0, cls_exp_Osimps_I162_J_0, cls_exp_Osimps_I135_J_0, cls__092_060D_062___092_060D_062s_Osimps_I2_J_1, cls_exp_Osimps_I158_J_0, cls_exp_Osimps_I15_J_3, cls_exp_Osimps_I169_J_0, cls_exp_Osimps_I201_J_0, cls_exp_Osimps_I166_J_0, cls_exp_Osimps_I55_J_0, cls_exp_Osimps_I47_J_0, cls_exp_Osimps_I7_J_1, cls_WTrtSeq_0, cls_exp_Osimps_I189_J_0, cls_exp_Osimps_I75_J_0, cls_exp_Osimps_I224_J_0, cls_exp_Osimps_I101_J_0, cls_exp_Osimps_I102_J_0, cls_exp_Osimps_I30_J_0, cls_exp_Osimps_I80_J_0, cls_exp_Osimps_I16_J_0, cls_exp_Osimps_I1_J_0, cls_exp_Osimps_I145_J_0, cls_exp_Osimps_I59_J_0, cls_Pair__eq_0, cls_exp_Osimps_I129_J_0, cls_exp_Osimps_I35_J_0, cls_exp_Osimps_I39_J_0, cls_WTrt_H__WTrts_H_Ointros_I19_J_0, cls_exp_Osimps_I182_J_0, cls_WT__implies__WTrt_0, cls_wt_0, cls__092_060D_062___092_060D_062s_Osimps_I14_J_1, cls_WTrt__elim__cases_I2_J_0, cls_exp_Osimps_I133_J_0, cls_redp__redsp_OCondRed_0, cls_exp_Osimps_I68_J_0, cls_map__le__antisym_0, cls_exp_Osimps_I4_J_2, cls_exp_Osimps_I114_J_0, cls_exp_Osimps_I121_J_0, cls_exp_Osimps_I216_J_0, cls_exp_Osimps_I203_J_0, cls_exp_Osimps_I235_J_0, cls_exp_Osimps_I57_J_0, cls_exp_Osimps_I41_J_0, cls_exp_Osimps_I230_J_0, cls_WTrt_H__WTrts_H_Ointros_I18_J_0, cls_exp_Osimps_I191_J_0, cls_exp_Osimps_I215_J_0, cls_WTCond_0, cls_exp_Osimps_I93_J_0, cls_exp_Osimps_I53_J_0, cls_exp_Osimps_I73_J_0, cls_exp_Osimps_I126_J_0, cls_exp_Osimps_I152_J_0, cls_exp_Osimps_I50_J_0, cls_exp_Osimps_I95_J_0, cls_exp_Osimps_I117_J_0, cls_exp_Osimps_I179_J_0, cls_conf__hext_0, cls_exp_Osimps_I54_J_0, cls_exp_Osimps_I86_J_0, cls_exp_Osimps_I144_J_0, cls_exp_Osimps_I150_J_0, cls_exp_Osimps_I37_J_0, cls_exp_Osimps_I8_J_1, cls_exp_Osimps_I58_J_0, cls_exp_Osimps_I106_J_0, cls_wt_H__wt_0, cls_exp_Osimps_I127_J_0, cls_exp_Osimps_I66_J_0, cls_exp_Osimps_I34_J_0, cls_exp_Osimps_I6_J_0, cls_exp_Osimps_I108_J_0, cls_exp_Osimps_I222_J_0, cls_exp_Osimps_I90_J_0, cls_widen__trans_0, cls_exp_Osimps_I155_J_0, cls_exp_Osimps_I232_J_0, cls_exp_Osimps_I71_J_0, cls_exp_Osimps_I12_J_1, cls_exp_Osimps_I82_J_0, cls_WT__elim__cases_I5_J_0, cls_WTrts__hext__mono_0, cls_exp_Osimps_I125_J_0, cls__092_060D_062___092_060D_062s_Osimps_I8_J_0, cls_exp_Osimps_I14_J_0, cls_exp_Osimps_I107_J_0, cls_exp_Osimps_I167_J_0, cls__092_060D_062___092_060D_062s_Osimps_I11_J_0, cls_exp_Osimps_I161_J_0, cls_exp_Osimps_I120_J_0, cls_exp_Osimps_I9_J_2, cls_exp_Osimps_I7_J_0, cls_exp_Osimps_I217_J_0, cls_ATP__Linkup_Oequal__imp__fequal_0, cls_wtes_0, cls_exp_Osimps_I153_J_0, cls_exp_Osimps_I45_J_0, cls_exp_Osimps_I8_J_0, cls_exp_Osimps_I192_J_0, cls_exp_Osimps_I151_J_0, cls__092_060D_062___092_060D_062s_Osimps_I14_J_0, cls_exp_Osimps_I44_J_0, cls_exp_Osimps_I18_J_0, cls_exp_Osimps_I164_J_0, cls_exp_Osimps_I32_J_0, cls_exp_Osimps_I6_J_1, cls_exp_Osimps_I65_J_0, cls_exp_Osimps_I51_J_0, cls__092_060D_062___092_060D_062s_Osimps_I3_J_0, cls_exp_Osimps_I111_J_0, cls_exp_Osimps_I52_J_0, cls_exp_Osimps_I187_J_0, cls_exp_Osimps_I15_J_2, cls_list__all2__eq_0, cls_exp_Osimps_I10_J_0, cls_wt__env__mono_0, cls_WTrt__elim__cases_I5_J_0, cls_exp_Osimps_I130_J_0, cls_exp_Osimps_I31_J_0, cls_exp_Osimps_I64_J_0, cls_exp_Osimps_I88_J_0, cls_WTrtCond_1, cls_exp_Osimps_I96_J_0, cls_wt__wt_H_0, cls_exp_Osimps_I91_J_0, cls_exp_Osimps_I234_J_0, cls_exp_Osimps_I181_J_0, cls_exp_Osimps_I200_J_0, cls_exp_Osimps_I119_J_0, cls_exp_Osimps_I196_J_0, cls_WT__elim__cases_I2_J_0, cls_exp_Osimps_I214_J_0, cls_exp_Osimps_I168_J_0, cls_WTrtCond_2, cls_exp_Osimps_I63_J_0, cls_exp_Osimps_I140_J_0, cls_exp_Osimps_I87_J_0, cls__092_060D_062___092_060D_062s_Osimps_I9_J_0, cls_COMBI__def_0, cls_WTrt_H__WTrts_H_Ointros_I19_J_1, cls_exp_Osimps_I78_J_0, cls_exp_Osimps_I198_J_0, cls_exp_Osimps_I202_J_0, cls_exp_Osimps_I94_J_0, cls_exp_Osimps_I12_J_0, cls_Pair__eq_1, cls_exp_Osimps_I33_J_0, cls_exp_Osimps_I100_J_0, cls_exp_Osimps_I163_J_0, cls_exp_Osimps_I173_J_0, cls_exp_Osimps_I48_J_0, cls_exp_Osimps_I104_J_0, cls__092_060D_062___092_060D_062s_Osimps_I13_J_0, cls_exp_Osimps_I240_J_0, cls_exp_Osimps_I38_J_0, cls_exp_Osimps_I147_J_0, cls_exp_Osimps_I3_J_0, cls_exp_Osimps_I197_J_0, cls__092_060D_062___092_060D_062s_Osimps_I6_J_0, cls_exp_Osimps_I237_J_0, cls_IH_1, cls_WTCond_1, cls_exp_Osimps_I13_J_1
% 7.77/2.67  % No. of inferences in proof: 679
% 7.77/2.67  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2133 ms resp. 1600 ms w/o parsing
% 8.64/2.84  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.64/2.84  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------