TSTP Solution File: SWV957-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV957-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.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 12:19:33 EDT 2023
% Result : Unsatisfiable 8.54s 2.95s
% Output : Refutation 9.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 323
% Syntax : Number of formulae : 578 ( 145 unt; 69 typ; 0 def)
% Number of atoms : 1640 ( 801 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 9815 ( 696 ~;1131 |; 0 &;7988 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 156 ( 156 >; 0 *; 0 +; 0 <<)
% Number of symbols : 71 ( 69 usr; 26 con; 0-8 aty)
% Number of variables : 2886 ( 0 ^;2886 !; 0 ?;2886 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_WellTypeRT_OWTrt_type,type,
c_WellTypeRT_OWTrt: $i > $i > $i > $i > $i > $o ).
thf(v_P_type,type,
v_P: $i ).
thf(v_h_Ha_____type,type,
v_h_Ha____: $i ).
thf(v_E_____type,type,
v_E____: $i ).
thf(v_e_Ha_____type,type,
v_e_Ha____: $i ).
thf(c_Type_Oty_OClass_type,type,
c_Type_Oty_OClass: $i > $i ).
thf(v_C_H_____type,type,
v_C_H____: $i ).
thf(c_Decl_Ois__class_type,type,
c_Decl_Ois__class: $i > $i > $i > $o ).
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(c_WellType_OWT_type,type,
c_WellType_OWT: $i > $i > $i > $i > $o ).
thf(c_Expr_Oexp_Onew_type,type,
c_Expr_Oexp_Onew: $i > $i > $i ).
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_Type_Oty_Oty__case_type,type,
c_Type_Oty_Oty__case: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(v_sko__Type__Xty__Xsplit__asm__1_type,type,
v_sko__Type__Xty__Xsplit__asm__1: $i > $i > $i > $i ).
thf(c_Type_Oty_ONT_type,type,
c_Type_Oty_ONT: $i ).
thf(c_Type_Oty_OInteger_type,type,
c_Type_Oty_OInteger: $i ).
thf(c_Type_Oty_OVoid_type,type,
c_Type_Oty_OVoid: $i ).
thf(v_sko__Type__Xty__Xsplit__1_type,type,
v_sko__Type__Xty__Xsplit__1: $i > $i > $i > $i ).
thf(c_Type_Oty_OBoolean_type,type,
c_Type_Oty_OBoolean: $i ).
thf(c_Expr_Oexp_OCast_type,type,
c_Expr_Oexp_OCast: $i > $i > $i > $i ).
thf(c_Expr_Oexp_OFAss_type,type,
c_Expr_Oexp_OFAss: $i > $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OFAcc_type,type,
c_Expr_Oexp_OFAcc: $i > $i > $i > $i > $i ).
thf(c_TypeRel_Osees__field_type,type,
c_TypeRel_Osees__field: $i > $i > $i > $i > $i > $i > $o ).
thf(c_COMBI_type,type,
c_COMBI: $i > $i > $i ).
thf(c_Type_Osko__Type__Xty__Xcase__cong__1__1_type,type,
c_Type_Osko__Type__Xty__Xcase__cong__1__1: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OSeq_type,type,
c_Expr_Oexp_OSeq: $i > $i > $i > $i ).
thf(v_T_____type,type,
v_T____: $i ).
thf(c_Type_Oty_Oty__rec_type,type,
c_Type_Oty_Oty__rec: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(c_Type_Ois__refT_type,type,
c_Type_Ois__refT: $i > $o ).
thf(c_Map_Omap__le_type,type,
c_Map_Omap__le: $i > $i > $i > $i > $o ).
thf(tc_Type_Oty_type,type,
tc_Type_Oty: $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_Progress_OWTrt_H_type,type,
c_Progress_OWTrt_H: $i > $i > $i > $i > $i > $o ).
thf(c_TypeRel_Owiden_type,type,
c_TypeRel_Owiden: $i > $i > $i > $i > $o ).
thf(c_TypeRel_Ohas__field_type,type,
c_TypeRel_Ohas__field: $i > $i > $i > $i > $i > $i > $o ).
thf(c_WellType_Osko__WellType__XWT__elim__cases__7__1_type,type,
c_WellType_Osko__WellType__XWT__elim__cases__7__1: $i > $i > $i > $i > $i > $i > $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1_type,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2_type,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(v_ha_____type,type,
v_ha____: $i ).
thf(v_ea_____type,type,
v_ea____: $i ).
thf(v_C_____type,type,
v_C____: $i ).
thf(v_sko__Type__Xty__Xinducts__1_type,type,
v_sko__Type__Xty__Xinducts__1: $i > $i ).
thf(v_sko__local__XIH__1_type,type,
v_sko__local__XIH__1: $i > $i > $i > $i > $i > $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(v_U_____type,type,
v_U____: $i ).
thf(v_F_____type,type,
v_F____: $i ).
thf(v_D_____type,type,
v_D____: $i ).
thf(v_e_092_060_094isub_0622_____type,type,
v_e_092_060_094isub_0622____: $i ).
thf(v_sko__local__XFAssRed1__2__1_type,type,
v_sko__local__XFAssRed1__2__1: $i > $i > $i > $i > $i > $i ).
thf(v_TF_____type,type,
v_TF____: $i ).
thf(v_T_092_060_094isub_0622_____type,type,
v_T_092_060_094isub_0622____: $i ).
thf(v_sko__local__XFAssRed1__Xhyps__2__1_type,type,
v_sko__local__XFAssRed1__Xhyps__2__1: $i > $i > $i > $i > $i > $i ).
thf(c_Type_Osko__Type__Xty__Xexhaust__1__1_type,type,
c_Type_Osko__Type__Xty__Xexhaust__1__1: $i > $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1_type,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(c_Type_Osko__Type__Xty__Xnchotomy__1__1_type,type,
c_Type_Osko__Type__Xty__Xnchotomy__1__1: $i > $i ).
thf(v_sko__Value__Xdefault__val__Xinduct__1_type,type,
v_sko__Value__Xdefault__val__Xinduct__1: $i > $i ).
thf(v_sko__unknown__thm__BwWZ__1_type,type,
v_sko__unknown__thm__BwWZ__1: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(v_sko__Type__Xty__Xinduct__1_type,type,
v_sko__Type__Xty__Xinduct__1: $i > $i ).
thf(48,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_10) ).
thf(384,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(139,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ C @ D @ I @ J @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ J @ G ) ) )
| ( A = c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_12) ).
thf(645,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ C @ D @ I @ J @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ J @ G ) ) )
| ( A = c_Type_Oty_ONT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(208,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ ( c_Type_Oty_OClass @ G ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_4) ).
thf(809,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ ( c_Type_Oty_OClass @ G ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(42,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/sandbox2/benchmark/theBenchmark.p',cls_wt__env__mono_0) ).
thf(365,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)],[42]) ).
thf(29,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__rec @ A @ B @ C @ D @ E @ c_Type_Oty_OVoid @ F )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Orecs_I1_J_0) ).
thf(333,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__rec @ A @ B @ C @ D @ E @ c_Type_Oty_OVoid @ F )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(242,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ ( c_Type_Oty_OClass @ G ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_4) ).
thf(893,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ ( c_Type_Oty_OClass @ G ) @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(78,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_16) ).
thf(468,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(148,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ C @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ D @ B @ E @ A @ F @ C ) ) )
| ~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OFAcc @ C @ E @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I7_J_0) ).
thf(666,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ C @ ( c_Type_Oty_OClass @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ D @ B @ E @ A @ F @ C ) ) )
| ~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OFAcc @ C @ E @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(83,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/sandbox2/benchmark/theBenchmark.p',cls_map__le__trans_0) ).
thf(481,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)],[83]) ).
thf(195,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__rec @ A @ B @ C @ D @ E @ ( c_Type_Oty_OClass @ F ) @ G )
= ( hAPP @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Orecs_I5_J_0) ).
thf(777,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__rec @ A @ B @ C @ D @ E @ ( c_Type_Oty_OClass @ F ) @ G )
= ( hAPP @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(109,axiom,
! [A: $i] :
( ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid )
| ( c_Type_Ois__refT @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__refTE_0) ).
thf(555,plain,
! [A: $i] :
( ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid )
| ( c_Type_Ois__refT @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(57,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I28_J_0) ).
thf(408,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)],[57]) ).
thf(189,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_ONT )
| ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ E @ C @ F @ A @ G @ D @ B ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAcc @ D @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I7_J_0) ).
thf(762,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_ONT )
| ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ E @ C @ F @ A @ G @ D @ B ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAcc @ D @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(9,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_TypeRel_Osees__field @ C @ D @ E @ A @ F @ G )
| ~ ( c_TypeRel_Osees__field @ C @ D @ E @ B @ H @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__field__fun_0) ).
thf(276,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_TypeRel_Osees__field @ C @ D @ E @ A @ F @ G )
| ~ ( c_TypeRel_Osees__field @ C @ D @ E @ B @ H @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(128,axiom,
! [A: $i] : ( c_Objects_Ohext @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__refl_0) ).
thf(614,plain,
! [A: $i] : ( c_Objects_Ohext @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(68,axiom,
c_Type_Oty_OVoid != c_Type_Oty_ONT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I6_J_0) ).
thf(440,plain,
c_Type_Oty_OVoid != c_Type_Oty_ONT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(143,axiom,
! [A: $i] :
( ( c_Type_Oty_OClass @ A )
!= c_Type_Oty_ONT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I21_J_0) ).
thf(655,plain,
! [A: $i] :
( ( c_Type_Oty_OClass @ A )
!= c_Type_Oty_ONT ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(93,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ J @ G @ K @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_5) ).
thf(511,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ J @ G @ K @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(197,axiom,
! [A: $i] :
( ( c_Type_Oty_OClass @ A )
!= c_Type_Oty_OBoolean ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I15_J_0) ).
thf(782,plain,
! [A: $i] :
( ( c_Type_Oty_OClass @ A )
!= c_Type_Oty_OBoolean ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(167,axiom,
! [J: $i,I: $i,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_OFAss @ D @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( c_TypeRel_Owiden @ A @ H @ I @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ G @ H )
| ~ ( c_TypeRel_Ohas__field @ A @ J @ E @ I @ F @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ J ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAss_0) ).
thf(709,plain,
! [J: $i,I: $i,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_OFAss @ D @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( c_TypeRel_Owiden @ A @ H @ I @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ G @ H )
| ~ ( c_TypeRel_Ohas__field @ A @ J @ E @ I @ F @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ J ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(239,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ C @ I @ J @ K @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ K @ G ) ) )
| ( A = c_Type_Oty_ONT )
| ( A = c_Type_Oty_OInteger ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_8) ).
thf(885,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ C @ I @ J @ K @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ K @ G ) ) )
| ( A = c_Type_Oty_ONT )
| ( A = c_Type_Oty_OInteger ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(13,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_8) ).
thf(288,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
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 ) )
| ( A = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_0) ).
thf(565,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)],[112]) ).
thf(141,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( c_WellTypeRT_OWTrt @ B @ C @ D @ E @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ F @ D @ G @ B @ E @ C @ H ) ) )
| ~ ( c_WellTypeRT_OWTrt @ B @ C @ D @ ( c_Expr_Oexp_OFAss @ E @ G @ F @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_3) ).
thf(651,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( c_WellTypeRT_OWTrt @ B @ C @ D @ E @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ F @ D @ G @ B @ E @ C @ H ) ) )
| ~ ( c_WellTypeRT_OWTrt @ B @ C @ D @ ( c_Expr_Oexp_OFAss @ E @ G @ F @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(2,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Decl_Ois__class @ A @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ C @ ( c_Expr_Oexp_Onew @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I10_J_1) ).
thf(257,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Decl_Ois__class @ A @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ C @ ( c_Expr_Oexp_Onew @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(172,axiom,
! [B: $i,A: $i] :
( ( ( c_Type_Oty_OClass @ A )
!= ( c_Type_Oty_OClass @ B ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Oinject_0) ).
thf(719,plain,
! [B: $i,A: $i] :
( ( ( c_Type_Oty_OClass @ A )
!= ( c_Type_Oty_OClass @ B ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(198,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_Type_Oty_ONT )
| ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ E @ C @ F @ A @ D @ B @ G ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ F @ E @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_4) ).
thf(785,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_Type_Oty_ONT )
| ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ E @ C @ F @ A @ D @ B @ G ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ F @ E @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(91,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_3) ).
thf(504,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)],[91]) ).
thf(119,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I17_J_0) ).
thf(587,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)],[119]) ).
thf(251,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OFAcc @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
| ~ ( c_TypeRel_Ohas__field @ A @ H @ E @ G @ F @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I8_J_0) ).
thf(917,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OFAcc @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
| ~ ( c_TypeRel_Ohas__field @ A @ H @ E @ G @ F @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(39,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ c_Type_Oty_OVoid @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_0) ).
thf(357,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ c_Type_Oty_OVoid @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(75,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/sandbox2/benchmark/theBenchmark.p',cls_map__le__antisym_0) ).
thf(460,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)],[75]) ).
thf(205,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ A ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_ONT ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OInteger ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OBoolean ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OVoid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_default__val_Oinduct_0) ).
thf(802,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_OClass @ ( v_sko__Value__Xdefault__val__Xinduct__1 @ A ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_ONT ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OInteger ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OBoolean ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OVoid ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(34,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_36) ).
thf(344,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(246,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_25) ).
thf(902,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(233,axiom,
! [B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ A @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__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/sandbox2/benchmark/theBenchmark.p',cls_FAssRed1_Ohyps_I2_J_0) ).
thf(870,plain,
! [B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ A @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__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)],[233]) ).
thf(60,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_2) ).
thf(416,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)],[60]) ).
thf(26,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ c_Type_Oty_ONT @ F )
= D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I25_J_0) ).
thf(325,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ c_Type_Oty_ONT @ F )
= D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(81,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_34) ).
thf(475,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(187,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_33) ).
thf(756,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(200,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_17) ).
thf(789,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(69,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_OFAcc @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I9_J_0) ).
thf(443,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_OFAcc @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ c_Type_Oty_ONT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(46,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/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_0) ).
thf(376,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)],[46]) ).
thf(94,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_OInteger,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I10_J_0) ).
thf(514,plain,
c_Type_Oty_OBoolean != c_Type_Oty_OInteger,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(115,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I53_J_0) ).
thf(574,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)],[115]) ).
thf(207,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Type_Oty_OClass @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ C @ D @ E @ ( c_Expr_Oexp_OCast @ B @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_0) ).
thf(806,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Type_Oty_OClass @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ C @ D @ E @ ( c_Expr_Oexp_OCast @ B @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(213,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_33) ).
thf(821,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(247,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_7) ).
thf(905,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(15,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ F @ J @ K @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_9) ).
thf(293,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ F @ J @ K @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(231,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_9) ).
thf(866,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(73,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_1) ).
thf(453,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)],[73]) ).
thf(194,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_15) ).
thf(774,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(52,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/sandbox2/benchmark/theBenchmark.p',cls_hext__trans_0) ).
thf(396,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)],[52]) ).
thf(145,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ I @ J @ E @ K @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ K @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_2) ).
thf(660,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ I @ J @ E @ K @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ K @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(58,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ c_Type_Oty_ONT @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_3) ).
thf(411,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ c_Type_Oty_ONT @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(236,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_35) ).
thf(877,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(158,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_23) ).
thf(692,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(5,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Decl_Ois__class @ A @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ C @ ( c_Expr_Oexp_OCast @ B @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I6_J_2) ).
thf(265,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Decl_Ois__class @ A @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ C @ ( c_Expr_Oexp_OCast @ B @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(225,axiom,
! [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_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ F @ G )
= ( c_Type_Oty_Oty__case @ H @ I @ J @ K @ L @ F @ G ) )
| ( F
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ F @ E @ L @ G ) ) )
| ( F = c_Type_Oty_ONT )
| ( F = c_Type_Oty_OInteger )
| ( F = c_Type_Oty_OBoolean )
| ( F = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_0) ).
thf(849,plain,
! [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_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ F @ G )
= ( c_Type_Oty_Oty__case @ H @ I @ J @ K @ L @ F @ G ) )
| ( F
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ F @ E @ L @ G ) ) )
| ( F = c_Type_Oty_ONT )
| ( F = c_Type_Oty_OInteger )
| ( F = c_Type_Oty_OBoolean )
| ( F = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(47,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_0) ).
thf(380,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)],[47]) ).
thf(7,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I155_J_0) ).
thf(270,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)],[7]) ).
thf(106,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_30) ).
thf(546,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(254,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_29) ).
thf(925,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(203,axiom,
! [B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ A @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__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/sandbox2/benchmark/theBenchmark.p',cls_FAssRed1_I2_J_0) ).
thf(798,plain,
! [B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ A @ v_e_Ha____ @ ( v_sko__local__XFAssRed1__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)],[203]) ).
thf(183,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_35) ).
thf(746,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(36,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ c_Type_Oty_OInteger @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_2) ).
thf(349,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ c_Type_Oty_OInteger @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(123,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I61_J_0) ).
thf(598,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)],[123]) ).
thf(134,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ B @ H @ D @ E @ I @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ I @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_22) ).
thf(630,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ B @ H @ D @ E @ I @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ I @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(64,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_24) ).
thf(429,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(176,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_23) ).
thf(729,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(224,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAcc @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAccNT_0) ).
thf(847,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAcc @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ c_Type_Oty_ONT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(226,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_Type_Oty_ONT )
| ( E = c_Type_Oty_OVoid )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ F @ G @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_1) ).
thf(852,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_Type_Oty_ONT )
| ( E = c_Type_Oty_OVoid )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ F @ G @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(154,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Decl_Ois__class @ A @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ ( c_Expr_Oexp_Onew @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I10_J_1) ).
thf(682,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Decl_Ois__class @ A @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ ( c_Expr_Oexp_Onew @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(12,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_20) ).
thf(285,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(97,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__rec @ A @ B @ C @ D @ E @ c_Type_Oty_ONT @ F )
= D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Orecs_I4_J_0) ).
thf(522,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__rec @ A @ B @ C @ D @ E @ c_Type_Oty_ONT @ F )
= D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(217,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/sandbox2/benchmark/theBenchmark.p',cls_WTrtSeq_0) ).
thf(830,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)],[217]) ).
thf(181,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Decl_Ois__class @ A @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ ( c_Expr_Oexp_OCast @ B @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_3) ).
thf(742,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Decl_Ois__class @ A @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ ( c_Expr_Oexp_OCast @ B @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(160,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_Onew @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ D ) )
| ~ ( c_Decl_Ois__class @ A @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtNew_0) ).
thf(697,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_Onew @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ D ) )
| ~ ( c_Decl_Ois__class @ A @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(235,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_13) ).
thf(874,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(23,axiom,
v_T____ = c_Type_Oty_OVoid,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_void_0) ).
thf(317,plain,
v_T____ = c_Type_Oty_OVoid,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(129,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_28) ).
thf(615,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(232,axiom,
c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ v_U____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
thf(869,plain,
c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ v_U____,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(61,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I34_J_0) ).
thf(420,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)],[61]) ).
thf(228,axiom,
( ( v_U____ != c_Type_Oty_ONT )
| ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_e_Ha____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_calculation_0) ).
thf(857,plain,
( ( v_U____ != c_Type_Oty_ONT )
| ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_e_Ha____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(79,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_22) ).
thf(471,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(32,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ F @ G @ I @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_29) ).
thf(339,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ F @ G @ I @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(103,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I60_J_0) ).
thf(537,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)],[103]) ).
thf(156,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_7) ).
thf(686,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(138,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_25) ).
thf(642,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(99,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_1) ).
thf(526,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)],[99]) ).
thf(86,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_TypeRel_Owiden @ A @ B @ C @ D )
| ~ ( c_TypeRel_Owiden @ A @ E @ C @ D )
| ~ ( c_TypeRel_Owiden @ A @ B @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__trans_0) ).
thf(489,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_TypeRel_Owiden @ A @ B @ C @ D )
| ~ ( c_TypeRel_Owiden @ A @ E @ C @ D )
| ~ ( c_TypeRel_Owiden @ A @ B @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(120,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ c_Type_Oty_OBoolean @ F )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I23_J_0) ).
thf(590,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ c_Type_Oty_OBoolean @ F )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(153,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_11) ).
thf(679,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(164,axiom,
! [C: $i,B: $i,A: $i] : ( c_TypeRel_Owiden @ A @ c_Type_Oty_ONT @ ( c_Type_Oty_OClass @ B ) @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__Class_2) ).
thf(706,plain,
! [C: $i,B: $i,A: $i] : ( c_TypeRel_Owiden @ A @ c_Type_Oty_ONT @ ( c_Type_Oty_OClass @ B ) @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(220,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_15) ).
thf(837,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(51,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ F @ G @ J @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_13) ).
thf(393,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ F @ G @ J @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(162,axiom,
! [B: $i,A: $i] :
( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( 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/sandbox2/benchmark/theBenchmark.p',cls_IH_1) ).
thf(701,plain,
! [B: $i,A: $i] :
( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XIH__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( 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)],[162]) ).
thf(142,axiom,
c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ v_ea____ @ ( c_Type_Oty_OClass @ v_C____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0621_0) ).
thf(654,plain,
c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ v_ea____ @ ( c_Type_Oty_OClass @ v_C____ ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(74,axiom,
c_Type_Oty_OInteger != c_Type_Oty_ONT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I16_J_0) ).
thf(457,plain,
c_Type_Oty_OInteger != c_Type_Oty_ONT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(249,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ F @ G )
= ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ H @ F @ G ) )
| ( F
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ F @ E @ H @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_30) ).
thf(911,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ F @ G )
= ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ H @ F @ G ) )
| ( F
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ F @ E @ H @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(113,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_TypeRel_Osees__field @ A @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ B @ C @ D @ A @ E @ F ) @ D @ E @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ C @ ( c_Expr_Oexp_OFAcc @ F @ D @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I7_J_1) ).
thf(569,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_TypeRel_Osees__field @ A @ ( c_WellType_Osko__WellType__XWT__elim__cases__7__1 @ B @ C @ D @ A @ E @ F ) @ D @ E @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ C @ ( c_Expr_Oexp_OFAcc @ F @ D @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(196,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_27) ).
thf(779,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(201,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_13) ).
thf(792,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(135,axiom,
! [A: $i] :
( c_Type_Oty_OVoid
!= ( c_Type_Oty_OClass @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I8_J_0) ).
thf(633,plain,
! [A: $i] :
( c_Type_Oty_OVoid
!= ( c_Type_Oty_OClass @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(92,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ~ ( c_WellType_OWT @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I8_J_0) ).
thf(508,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ~ ( c_WellType_OWT @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(21,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_8) ).
thf(311,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(191,axiom,
! [A: $i] :
( ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ A ) ) )
| ( A = c_Type_Oty_ONT )
| ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Onchotomy_0) ).
thf(765,plain,
! [A: $i] :
( ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ A ) ) )
| ( A = c_Type_Oty_ONT )
| ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(53,axiom,
! [C: $i,B: $i,A: $i] : ( c_Map_Omap__le @ A @ A @ B @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__refl_0) ).
thf(398,plain,
! [C: $i,B: $i,A: $i] : ( c_Map_Omap__le @ A @ A @ B @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(110,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_0) ).
thf(558,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)],[110]) ).
thf(100,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__rec @ A @ B @ C @ D @ E @ c_Type_Oty_OBoolean @ F )
= B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Orecs_I2_J_0) ).
thf(530,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__rec @ A @ B @ C @ D @ E @ c_Type_Oty_OBoolean @ F )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(171,axiom,
c_TypeRel_Ohas__field @ v_P @ v_C____ @ v_F____ @ v_TF____ @ v_D____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_has_0) ).
thf(718,plain,
c_TypeRel_Ohas__field @ v_P @ v_C____ @ v_F____ @ v_TF____ @ v_D____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(240,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ F @ G )
= ( c_Type_Oty_Oty__case @ A @ H @ I @ J @ K @ F @ G ) )
| ( F
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ F @ E @ K @ G ) ) )
| ( F = c_Type_Oty_ONT )
| ( F = c_Type_Oty_OInteger )
| ( F = c_Type_Oty_OBoolean ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_16) ).
thf(888,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ F @ G )
= ( c_Type_Oty_Oty__case @ A @ H @ I @ J @ K @ F @ G ) )
| ( F
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ F @ E @ K @ G ) ) )
| ( F = c_Type_Oty_ONT )
| ( F = c_Type_Oty_OInteger )
| ( F = c_Type_Oty_OBoolean ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(130,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I16_J_0) ).
thf(618,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)],[130]) ).
thf(214,axiom,
! [A: $i] :
( c_Type_Oty_OInteger
!= ( c_Type_Oty_OClass @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I18_J_0) ).
thf(824,plain,
! [A: $i] :
( c_Type_Oty_OInteger
!= ( c_Type_Oty_OClass @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( c_COMBI @ A @ B )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
thf(279,plain,
! [B: $i,A: $i] :
( ( c_COMBI @ A @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(124,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_12) ).
thf(601,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(157,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ B @ H @ D @ I @ J @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ J @ G ) ) )
| ( A = c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_20) ).
thf(689,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ B @ H @ D @ I @ J @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ J @ G ) ) )
| ( A = c_Type_Oty_ONT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(16,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_28) ).
thf(296,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(118,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_6) ).
thf(584,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(212,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/sandbox2/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).
thf(819,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)],[212]) ).
thf(111,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_ONT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I12_J_0) ).
thf(562,plain,
c_Type_Oty_OBoolean != c_Type_Oty_ONT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(62,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ J @ K @ H @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_3) ).
thf(423,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ J @ K @ H @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(55,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OInteger )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ F @ I @ J @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_25) ).
thf(402,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OInteger )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ F @ I @ J @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(177,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_29) ).
thf(732,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(222,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/sandbox2/benchmark/theBenchmark.p',cls_WT__implies__WTrt_0) ).
thf(843,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)],[222]) ).
thf(14,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_TypeRel_Osees__field @ A @ B @ C @ D @ B @ E )
| ~ ( c_TypeRel_Osees__field @ A @ F @ C @ D @ B @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__field__idemp_0) ).
thf(291,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_TypeRel_Osees__field @ A @ B @ C @ D @ B @ E )
| ~ ( c_TypeRel_Osees__field @ A @ F @ C @ D @ B @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(11,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_1) ).
thf(281,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)],[11]) ).
thf(3,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_14) ).
thf(259,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(59,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I174_J_0) ).
thf(413,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)],[59]) ).
thf(116,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/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_1) ).
thf(577,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)],[116]) ).
thf(168,axiom,
( ( c_COMBI @ v_P @ t_a )
= v_P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).
thf(711,plain,
( ( c_COMBI @ v_P @ t_a )
= v_P ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(70,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I18_J_0) ).
thf(445,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)],[70]) ).
thf(30,axiom,
c_Type_Ois__refT @ c_Type_Oty_ONT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_is__refT__def_1) ).
thf(335,plain,
c_Type_Ois__refT @ c_Type_Oty_ONT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(104,axiom,
c_Type_Oty_OInteger != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I11_J_0) ).
thf(540,plain,
c_Type_Oty_OInteger != c_Type_Oty_OBoolean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(127,axiom,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ J @ K @ L @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_1) ).
thf(611,plain,
! [L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ J @ K @ L @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(199,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_ONT )
| ( c_TypeRel_Ohas__field @ A @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ E @ C @ F @ A @ G @ D @ B ) @ F @ G @ E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAcc @ D @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I7_J_1) ).
thf(787,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_ONT )
| ( c_TypeRel_Ohas__field @ A @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 @ E @ C @ F @ A @ G @ D @ B ) @ F @ G @ E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAcc @ D @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(169,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ C @ I @ E @ J @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ J @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_10) ).
thf(713,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ C @ I @ E @ J @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ J @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(89,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_18) ).
thf(498,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(252,axiom,
! [A: $i] :
( ( c_Type_Oty_OClass @ A )
!= c_Type_Oty_OInteger ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I19_J_0) ).
thf(919,plain,
! [A: $i] :
( ( c_Type_Oty_OClass @ A )
!= c_Type_Oty_OInteger ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(206,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( c_TypeRel_Owiden @ A @ H @ I @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ G @ H )
| ~ ( c_TypeRel_Ohas__field @ A @ J @ E @ I @ F @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ J ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I10_J_0) ).
thf(804,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( c_TypeRel_Owiden @ A @ H @ I @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ G @ H )
| ~ ( c_TypeRel_Ohas__field @ A @ J @ E @ I @ F @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ J ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(179,axiom,
! [A: $i] :
( ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xexhaust__1__1 @ A ) ) )
| ( A = c_Type_Oty_ONT )
| ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Oexhaust_0) ).
thf(736,plain,
! [A: $i] :
( ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xexhaust__1__1 @ A ) ) )
| ( A = c_Type_Oty_ONT )
| ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(41,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ I @ J @ H @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_19) ).
thf(362,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ I @ J @ H @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(18,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_31) ).
thf(303,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(230,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Type_Oty_OClass @ B ) )
| ~ ( c_WellType_OWT @ C @ D @ ( c_Expr_Oexp_OCast @ B @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I6_J_0) ).
thf(863,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Type_Oty_OClass @ B ) )
| ~ ( c_WellType_OWT @ C @ D @ ( c_Expr_Oexp_OCast @ B @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(190,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/sandbox2/benchmark/theBenchmark.p',cls_conf_0) ).
thf(764,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)],[190]) ).
thf(125,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_1) ).
thf(604,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)],[125]) ).
thf(237,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_9) ).
thf(880,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(66,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_2) ).
thf(434,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)],[66]) ).
thf(88,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_Onew @ C @ B ) )
| ( A = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I1_J_0) ).
thf(494,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)],[88]) ).
thf(102,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ c_Type_Oty_OBoolean @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_1) ).
thf(535,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ c_Type_Oty_OBoolean @ t_a ) ) )
| ( hBOOL @ ( hAPP @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(211,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_19) ).
thf(816,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(174,axiom,
c_TypeRel_Owiden @ v_P @ v_T_092_060_094isub_0622____ @ v_TF____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sub_0) ).
thf(726,plain,
c_TypeRel_Owiden @ v_P @ v_T_092_060_094isub_0622____ @ v_TF____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(131,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_18) ).
thf(621,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(84,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ I @ G @ J @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_21) ).
thf(483,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ I @ G @ J @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(96,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ G @ H )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I11_J_0) ).
thf(520,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ G @ H )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ c_Type_Oty_ONT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(243,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_OFAss @ D @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ G @ H )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAssNT_0) ).
thf(895,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_OFAss @ D @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ G @ H )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ c_Type_Oty_ONT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(149,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_11) ).
thf(668,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(28,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ F @ J @ H @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_11) ).
thf(330,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ F @ J @ H @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(209,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OCast @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ D ) )
| ~ ( c_Decl_Ois__class @ A @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Type_Ois__refT @ F )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCast_0) ).
thf(811,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OCast @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ D ) )
| ~ ( c_Decl_Ois__class @ A @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Type_Ois__refT @ F )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(49,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_26) ).
thf(387,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(43,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ J @ G @ H @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_7) ).
thf(367,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ J @ G @ H @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(108,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I52_J_0) ).
thf(552,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)],[108]) ).
thf(54,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I27_J_0) ).
thf(399,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)],[54]) ).
thf(238,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__env__mono_0) ).
thf(883,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)],[238]) ).
thf(126,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_32) ).
thf(608,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(19,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_34) ).
thf(306,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(17,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_0) ).
thf(299,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)],[17]) ).
thf(6,axiom,
c_Type_Oty_ONT != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I13_J_0) ).
thf(267,plain,
c_Type_Oty_ONT != c_Type_Oty_OBoolean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(67,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_36) ).
thf(438,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(253,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_17) ).
thf(922,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(144,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_Type_Oty_ONT )
| ( c_TypeRel_Ohas__field @ A @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ E @ C @ F @ A @ D @ B @ G ) @ F @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ E @ C @ F @ A @ D @ B @ G ) @ E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ F @ E @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_7) ).
thf(658,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_Type_Oty_ONT )
| ( c_TypeRel_Ohas__field @ A @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ E @ C @ F @ A @ D @ B @ G ) @ F @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ E @ C @ F @ A @ D @ B @ G ) @ E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OFAss @ D @ F @ E @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(192,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_5) ).
thf(768,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(215,axiom,
c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622____ @ v_T_092_060_094isub_0622____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0622_H_0) ).
thf(827,plain,
c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_092_060_094isub_0622____ @ v_T_092_060_094isub_0622____,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(136,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ I @ D @ E @ J @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ J @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_6) ).
thf(636,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ I @ D @ E @ J @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ J @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(159,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ A ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_ONT ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OInteger ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OBoolean ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OVoid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Oinducts_0) ).
thf(695,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinducts__1 @ A ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_ONT ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OInteger ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OBoolean ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OVoid ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(63,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_14) ).
thf(426,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(202,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_21) ).
thf(795,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(146,axiom,
! [A: $i] : ( c_Type_Ois__refT @ ( c_Type_Oty_OClass @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_is__refT__def_2) ).
thf(663,plain,
! [A: $i] : ( c_Type_Ois__refT @ ( c_Type_Oty_OClass @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(1,negated_conjecture,
~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ ( c_Type_Oty_OClass @ v_C_H____ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(255,plain,
~ ( c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ ( c_Type_Oty_OClass @ v_C_H____ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(140,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( c_TypeRel_Ohas__field @ B @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ C @ D @ E @ B @ F @ G @ H ) @ E @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ C @ D @ E @ B @ F @ G @ H ) @ C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ B @ G @ D @ ( c_Expr_Oexp_OFAss @ F @ E @ C @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_6) ).
thf(648,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( c_TypeRel_Ohas__field @ B @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 @ C @ D @ E @ B @ F @ G @ H ) @ E @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 @ C @ D @ E @ B @ F @ G @ H ) @ C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ B @ G @ D @ ( c_Expr_Oexp_OFAss @ F @ E @ C @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(184,axiom,
! [A: $i] :
( ( c_Type_Oty_OClass @ A )
!= c_Type_Oty_OVoid ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I9_J_0) ).
thf(749,plain,
! [A: $i] :
( ( c_Type_Oty_OClass @ A )
!= c_Type_Oty_OVoid ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(33,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ c_Type_Oty_OInteger @ F )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I24_J_0) ).
thf(342,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ c_Type_Oty_OInteger @ F )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(227,axiom,
( v_U____
= ( c_Type_Oty_OClass @ v_C_H____ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UClass_0) ).
thf(855,plain,
( v_U____
= ( c_Type_Oty_OClass @ v_C_H____ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(234,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( c_TypeRel_Owiden @ A @ G @ H @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ B @ F @ G )
| ~ ( c_TypeRel_Osees__field @ A @ I @ D @ H @ E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ B @ C @ ( c_Type_Oty_OClass @ I ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTFAss_0) ).
thf(872,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( c_TypeRel_Owiden @ A @ G @ H @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ B @ F @ G )
| ~ ( c_TypeRel_Osees__field @ A @ I @ D @ H @ E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ B @ C @ ( c_Type_Oty_OClass @ I ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(165,axiom,
c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ v_U____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0621_H_0) ).
thf(707,plain,
c_WellTypeRT_OWTrt @ v_P @ v_h_Ha____ @ v_E____ @ v_e_Ha____ @ v_U____,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(27,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_32) ).
thf(327,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(180,axiom,
! [A: $i] :
( c_Type_Oty_OBoolean
!= ( c_Type_Oty_OClass @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I14_J_0) ).
thf(739,plain,
! [A: $i] :
( c_Type_Oty_OBoolean
!= ( c_Type_Oty_OClass @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(151,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Type_Oty_OClass @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ C @ D @ E @ ( c_Expr_Oexp_Onew @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I10_J_0) ).
thf(673,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Type_Oty_OClass @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ C @ D @ E @ ( c_Expr_Oexp_Onew @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(44,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OInteger )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ F @ I @ H @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_27) ).
thf(370,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OInteger )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ F @ I @ H @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(221,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ C @ D @ E @ I @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ I @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_14) ).
thf(840,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ C @ D @ E @ I @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ I @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(76,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__rec @ A @ B @ C @ D @ E @ c_Type_Oty_OInteger @ F )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Orecs_I3_J_0) ).
thf(463,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__rec @ A @ B @ C @ D @ E @ c_Type_Oty_OInteger @ F )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(40,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OInteger,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I4_J_0) ).
thf(359,plain,
c_Type_Oty_OVoid != c_Type_Oty_OInteger,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(182,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ ( c_Type_Oty_OClass @ F ) @ G )
= ( hAPP @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I26_J_0) ).
thf(744,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ ( c_Type_Oty_OClass @ F ) @ G )
= ( hAPP @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(31,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I55_J_0) ).
thf(336,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)],[31]) ).
thf(163,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_31) ).
thf(703,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(175,axiom,
! [B: $i,A: $i] :
( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( 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/sandbox2/benchmark/theBenchmark.p',cls_FAssRed1_Ohyps_I2_J_1) ).
thf(727,plain,
! [B: $i,A: $i] :
( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__Xhyps__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( 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)],[175]) ).
thf(22,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ I @ J @ K @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_17) ).
thf(314,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_ONT )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ I @ J @ K @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(114,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ F @ G @ H @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_15) ).
thf(571,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ I @ F @ G @ H @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(122,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I26_J_0) ).
thf(595,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)],[122]) ).
thf(223,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_Onew @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ C ) )
| ~ ( c_Decl_Ois__class @ A @ C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTNew_0) ).
thf(845,plain,
! [C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_Onew @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ C ) )
| ~ ( c_Decl_Ois__class @ A @ C @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(77,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_12) ).
thf(465,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(133,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ B @ H @ I @ E @ J @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ J @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_18) ).
thf(627,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ B @ H @ I @ E @ J @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ J @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(72,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_22) ).
thf(450,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(150,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OCast @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ D ) )
| ~ ( c_Decl_Ois__class @ A @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Type_Ois__refT @ F )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I2_J_0) ).
thf(671,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OCast @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ D ) )
| ~ ( c_Decl_Ois__class @ A @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_Type_Ois__refT @ F )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(188,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ F @ G )
= ( c_Type_Oty_Oty__case @ A @ B @ H @ I @ J @ F @ G ) )
| ( F
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ F @ E @ J @ G ) ) )
| ( F = c_Type_Oty_ONT )
| ( F = c_Type_Oty_OInteger ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_24) ).
thf(759,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ F @ G )
= ( c_Type_Oty_Oty__case @ A @ B @ H @ I @ J @ F @ G ) )
| ( F
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ F @ E @ J @ G ) ) )
| ( F = c_Type_Oty_ONT )
| ( F = c_Type_Oty_OInteger ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(241,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ A ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_ONT ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OInteger ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OBoolean ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OVoid ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Oinduct_0) ).
thf(891,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ B ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xinduct__1 @ A ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_ONT ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OInteger ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OBoolean ) )
| ~ ( hBOOL @ ( hAPP @ A @ c_Type_Oty_OVoid ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(193,axiom,
! [A: $i] :
( c_Type_Oty_ONT
!= ( c_Type_Oty_OClass @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I20_J_0) ).
thf(771,plain,
! [A: $i] :
( c_Type_Oty_ONT
!= ( c_Type_Oty_OClass @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(98,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_TypeRel_Ohas__field @ A @ B @ C @ D @ E @ F )
| ~ ( c_TypeRel_Osees__field @ A @ B @ C @ D @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_has__visible__field_0) ).
thf(524,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_TypeRel_Ohas__field @ A @ B @ C @ D @ E @ F )
| ~ ( c_TypeRel_Osees__field @ A @ B @ C @ D @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(117,axiom,
c_Type_Oty_OInteger != c_Type_Oty_OVoid,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I5_J_0) ).
thf(581,plain,
c_Type_Oty_OInteger != c_Type_Oty_OVoid,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(161,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/sandbox2/benchmark/theBenchmark.p',cls_IH_0) ).
thf(699,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)],[161]) ).
thf(210,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_27) ).
thf(813,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(95,axiom,
c_Type_Oty_ONT != c_Type_Oty_OVoid,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I7_J_0) ).
thf(517,plain,
c_Type_Oty_ONT != c_Type_Oty_OVoid,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(24,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I154_J_0) ).
thf(319,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)],[24]) ).
thf(37,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I2_J_0) ).
thf(351,plain,
c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(50,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ I @ G @ H @ C @ B @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_23) ).
thf(390,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) )
!= ( hAPP @ C @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ B @ A @ C @ D ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( ( c_Type_Oty_Oty__case @ E @ F @ G @ H @ A @ B @ D )
= ( c_Type_Oty_Oty__case @ E @ I @ G @ H @ C @ B @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(250,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_31) ).
thf(914,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(82,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I29_J_0) ).
thf(478,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)],[82]) ).
thf(245,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_19) ).
thf(899,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(35,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I175_J_0) ).
thf(346,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)],[35]) ).
thf(107,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I3_J_0) ).
thf(549,plain,
c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(218,axiom,
( ( v_U____ != c_Type_Oty_ONT )
| ( c_TypeRel_Owiden @ v_P @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) @ v_T____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_calculation_1) ).
thf(832,plain,
( ( v_U____ != c_Type_Oty_ONT )
| ( c_TypeRel_Owiden @ v_P @ ( v_sko__unknown__thm__BwWZ__1 @ v_D____ @ v_E____ @ v_F____ @ v_P @ v_T____ @ v_e_Ha____ @ v_e_092_060_094isub_0622____ @ v_h_Ha____ ) @ v_T____ @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(155,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_Onew @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ D ) )
| ~ ( c_Decl_Ois__class @ A @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I1_J_0) ).
thf(684,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_Onew @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( c_Type_Oty_OClass @ D ) )
| ~ ( c_Decl_Ois__class @ A @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(170,axiom,
! [B: $i,A: $i] :
( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( 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/sandbox2/benchmark/theBenchmark.p',cls_FAssRed1_I2_J_1) ).
thf(716,plain,
! [B: $i,A: $i] :
( ( c_TypeRel_Owiden @ v_P @ ( v_sko__local__XFAssRed1__2__1 @ A @ v_P @ B @ v_e_Ha____ @ v_h_Ha____ ) @ B @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( 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)],[170]) ).
thf(204,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/sandbox2/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).
thf(800,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)],[204]) ).
thf(185,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OInteger )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ B @ C @ H @ E @ I @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ I @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_26) ).
thf(752,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OInteger )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ B @ C @ H @ E @ I @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ I @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(71,axiom,
c_Type_Oty_ONT != c_Type_Oty_OInteger,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I17_J_0) ).
thf(447,plain,
c_Type_Oty_ONT != c_Type_Oty_OInteger,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(65,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/sandbox2/benchmark/theBenchmark.p',cls_WTSeq_0) ).
thf(432,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)],[65]) ).
thf(56,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_6) ).
thf(405,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(8,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_30) ).
thf(273,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(45,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_24) ).
thf(373,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(178,axiom,
c_TypeRel_Owiden @ v_P @ v_U____ @ ( c_Type_Oty_OClass @ v_C____ ) @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UsubC_0) ).
thf(735,plain,
c_TypeRel_Owiden @ v_P @ v_U____ @ ( c_Type_Oty_OClass @ v_C____ ) @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(219,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_OFAcc @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
| ~ ( c_TypeRel_Ohas__field @ A @ H @ E @ G @ F @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAcc_0) ).
thf(835,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_OFAcc @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
| ~ ( c_TypeRel_Ohas__field @ A @ H @ E @ G @ F @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_Type_Oty_OClass @ H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(4,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_26) ).
thf(262,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(147,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OFAcc @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
| ~ ( c_TypeRel_Osees__field @ A @ G @ D @ F @ E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ B @ C @ ( c_Type_Oty_OClass @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTFAcc_0) ).
thf(664,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OFAcc @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
| ~ ( c_TypeRel_Osees__field @ A @ G @ D @ F @ E @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) )
| ~ ( c_WellType_OWT @ A @ B @ C @ ( c_Type_Oty_OClass @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(216,axiom,
( v_U____
= ( c_Type_Oty_OClass @ v_C_H____ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
thf(828,plain,
( v_U____
= ( c_Type_Oty_OClass @ v_C_H____ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(101,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_TypeRel_Osees__field @ C @ D @ E @ F @ A @ G )
| ~ ( c_TypeRel_Osees__field @ C @ D @ E @ H @ B @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sees__field__fun_1) ).
thf(532,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_TypeRel_Osees__field @ C @ D @ E @ F @ A @ G )
| ~ ( c_TypeRel_Osees__field @ C @ D @ E @ H @ B @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(244,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__hext__mono_0) ).
thf(897,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)],[244]) ).
thf(80,axiom,
! [C: $i,B: $i,A: $i] : ( c_TypeRel_Owiden @ A @ B @ B @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).
thf(474,plain,
! [C: $i,B: $i,A: $i] : ( c_TypeRel_Owiden @ A @ B @ B @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(132,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ I @ D @ J @ K @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ K @ G ) ) )
| ( A = c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_4) ).
thf(624,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OVoid )
| ( ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ A @ G )
= ( c_Type_Oty_Oty__case @ H @ I @ D @ J @ K @ A @ G ) )
| ( A
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ A @ F @ K @ G ) ) )
| ( A = c_Type_Oty_ONT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(229,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_5) ).
thf(860,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(248,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Type_Oty_OClass @ B ) )
| ~ ( c_WellType_OWT @ C @ D @ ( c_Expr_Oexp_Onew @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I10_J_0) ).
thf(908,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( c_Type_Oty_OClass @ B ) )
| ~ ( c_WellType_OWT @ C @ D @ ( c_Expr_Oexp_Onew @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(173,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OVoid )
| ~ ( c_WellTypeRT_OWTrt @ B @ C @ D @ ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_0) ).
thf(723,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ~ ( c_WellTypeRT_OWTrt @ B @ C @ D @ ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(90,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I161_J_0) ).
thf(501,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)],[90]) ).
thf(25,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I54_J_0) ).
thf(322,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)],[25]) ).
thf(85,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_16) ).
thf(486,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ( G = c_Type_Oty_OInteger )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(38,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_10) ).
thf(354,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) ) )
| ( G = c_Type_Oty_ONT )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(20,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ c_Type_Oty_OVoid @ F )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I22_J_0) ).
thf(309,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ c_Type_Oty_OVoid @ F )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(105,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit_20) ).
thf(543,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ ( hAPP @ F @ ( v_sko__Type__Xty__Xsplit__1 @ A @ F @ G ) ) ) )
| ~ ( hBOOL @ ( hAPP @ A @ E ) )
| ~ ( hBOOL @ ( hAPP @ A @ D ) )
| ~ ( hBOOL @ ( hAPP @ A @ C ) )
| ( G = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(137,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ F @ G )
= ( c_Type_Oty_Oty__case @ A @ B @ C @ H @ I @ F @ G ) )
| ( F
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ F @ E @ I @ G ) ) )
| ( F = c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Ocase__cong_28) ).
thf(639,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Type_Oty_Oty__case @ A @ B @ C @ D @ E @ F @ G )
= ( c_Type_Oty_Oty__case @ A @ B @ C @ H @ I @ F @ G ) )
| ( F
= ( c_Type_Oty_OClass @ ( c_Type_Osko__Type__Xty__Xcase__cong__1__1 @ F @ E @ I @ G ) ) )
| ( F = c_Type_Oty_ONT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(87,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I35_J_0) ).
thf(491,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)],[87]) ).
thf(121,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I160_J_0) ).
thf(592,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)],[121]) ).
thf(166,axiom,
c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_ea____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_0) ).
thf(708,plain,
c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ ( c_Expr_Oexp_OFAss @ v_ea____ @ v_F____ @ v_D____ @ v_e_092_060_094isub_0622____ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(186,axiom,
c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ v_e_092_060_094isub_0622____ @ v_T_092_060_094isub_0622____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0622_0) ).
thf(755,plain,
c_WellTypeRT_OWTrt @ v_P @ v_ha____ @ v_E____ @ v_e_092_060_094isub_0622____ @ v_T_092_060_094isub_0622____,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(152,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osplit__asm_21) ).
thf(676,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ A @ ( c_Type_Oty_Oty__case @ B @ C @ D @ E @ F @ G @ t_a ) ) )
| ( G
= ( c_Type_Oty_OClass @ ( v_sko__Type__Xty__Xsplit__asm__1 @ A @ F @ G ) ) )
| ( G = c_Type_Oty_ONT )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_OBoolean )
| ~ ( hBOOL @ ( hAPP @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(928,plain,
$false,
inference(e,[status(thm)],[384,645,809,365,333,893,468,666,481,777,555,408,762,276,614,440,655,511,782,709,885,288,565,651,257,719,785,504,587,917,357,460,802,344,902,870,416,325,475,756,789,443,376,514,574,806,821,905,293,866,453,774,396,660,411,877,692,265,849,380,270,546,925,798,746,349,598,630,429,729,847,852,682,285,522,830,742,697,874,317,615,869,420,857,471,339,537,686,642,526,489,590,679,706,837,393,701,654,457,911,569,779,792,633,508,311,765,398,558,530,718,888,618,824,279,601,689,296,584,819,562,423,402,732,843,291,281,259,413,577,711,445,335,540,611,787,713,498,919,804,736,362,303,863,764,604,880,434,494,535,816,726,621,483,520,895,668,330,811,387,367,552,399,883,608,306,299,267,438,922,658,768,827,636,695,426,795,663,255,648,749,342,855,872,707,327,739,673,370,840,463,359,744,336,703,727,314,571,595,845,465,627,450,671,759,891,771,524,581,699,813,517,319,351,390,914,478,899,346,549,832,684,716,800,752,447,432,405,273,373,735,835,262,664,828,532,897,474,624,860,908,723,501,322,486,354,309,543,639,491,592,708,755,676]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SWV957-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.11 % Command : run_Leo-III %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 19 02:55:06 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.66/0.73 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/0.95 % [INFO] Parsing done (223ms).
% 1.43/0.97 % [INFO] Running in sequential loop mode.
% 1.90/1.19 % [INFO] eprover registered as external prover.
% 1.90/1.20 % [INFO] cvc4 registered as external prover.
% 1.90/1.20 % [INFO] Scanning for conjecture ...
% 2.09/1.31 % [INFO] Found a conjecture and 255 axioms. Running axiom selection ...
% 2.49/1.43 % [INFO] Axiom selection finished. Selected 253 axioms (removed 2 axioms).
% 3.18/1.58 % [INFO] Problem is propositional (TPTP CNF).
% 3.18/1.59 % [INFO] Type checking passed.
% 3.18/1.59 % [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 ...
% 8.54/2.95 % External prover 'e' found a proof!
% 8.54/2.95 % [INFO] Killing All external provers ...
% 8.54/2.95 % Time passed: 2521ms (effective reasoning time: 1977ms)
% 8.54/2.95 % 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)>
% 8.54/2.95 % Axioms used in derivation (253): cls_ty_Osplit__asm_29, cls_WTrt__elim__cases_I8_J_3, cls_WTFAcc_0, cls_IH_0, cls_WTSeq_0, cls_ty_Osplit__asm_23, cls_ty_Osplit__asm_12, cls_ty_Osplit_9, cls_ty_Osplit_4, cls_ty_Osplit__asm_30, cls_ty_Osplit_24, cls_UClass_0, cls_default__val_Oinduct_0, cls_FAssRed1_I2_J_1, cls_ty_Ocase__cong_5, cls_ty_Osimps_I22_J_0, cls_ty_Ocase__cong_14, cls_ty_Ocase__cong_4, cls_exp_Osimps_I7_J_2, cls_map__le__trans_0, cls_ty_Osplit_5, cls_ty_Osimps_I17_J_0, cls_ty_Osimps_I25_J_0, cls_WTrt__elim__cases_I10_J_0, cls_ty_Osplit__asm_34, cls_CHAINED_0, cls_WT__elim__cases_I8_J_0, cls_exp_Osimps_I11_J_0, cls_WT__elim__cases_I10_J_1, cls_ty_Ocase__cong_25, cls_ty_Osplit_0, cls_has_0, cls_ty_Osplit_11, cls_ty_Ocase__cong_28, cls_has__visible__field_0, cls_ty_Osimps_I8_J_0, cls_ty_Ocase__cong_20, cls_ty_Osplit_27, cls_exp_Osimps_I28_J_0, cls_ty_Osplit__asm_28, cls_ty_Ocase__cong_18, cls_ty_Osimps_I5_J_0, cls_not__refTE_0, cls_widen__Class_2, cls_ty_Ocase__cong_8, cls_ty_Osplit_32, cls_exp_Osimps_I154_J_0, cls_WTrt__elim__cases_I6_J_0, cls_COMBI__def__raw_0, cls_WTrt__elim__cases_I10_J_1, cls_ty_Osplit_16, cls_ty_Osimps_I20_J_0, cls_ty_Osplit__asm_5, cls_ty_Osplit_21, cls_ty_Osimps_I13_J_0, cls_WT__elim__cases_I7_J_1, cls_WTrt__elim__cases_I8_J_7, cls_ty_Osplit_14, cls_ty_Osplit_36, cls_exp_Osimps_I2_J_1, cls_ty_Ocase__cong_31, cls_exp_Osimps_I8_J_3, cls_ty_Osplit_10, cls_ty_Osimps_I24_J_0, cls_exp_Osimps_I11_J_1, cls_exp_Osimps_I175_J_0, cls_WTrt_H__WTrts_H_Ointros_I9_J_0, cls_WTrt__elim__cases_I6_J_3, cls_ty_Osplit__asm_17, cls_ty_Osplit_25, cls_ty_Onchotomy_0, cls_ty_Osplit__asm_9, cls_ty_Osplit__asm_26, cls_ty_Ocase__cong_13, cls_widen__refl_0, cls_exp_Osimps_I17_J_0, cls_WTrt__elim__cases_I8_J_6, cls_hext__trans_0, cls_exp_Osimps_I160_J_0, cls_ty_Ocase__cong_29, cls_ty_Osplit__asm_15, cls_hext__refl_0, cls_exp_Osimps_I29_J_0, cls_ty_Osimps_I11_J_0, cls_ty_Osplit_12, cls_ty_Osplit_6, cls_exp_Osimps_I174_J_0, cls_ty_Osimps_I9_J_0, cls_ty_Osimps_I3_J_0, cls_ty_Ocase__cong_26, cls_WTrtFAssNT_0, cls_ty_Osplit__asm_19, cls_void_0, cls_ty_Ocase__cong_3, cls_conf_0, cls_CHAINED_0_01, cls_map__le__refl_0, cls_WTrtFAccNT_0, cls_wt_092_060_094isub_0621_0, cls_WTrt__hext__mono_0, cls_WTrtFAss_0, cls_WTFAss_0, cls_WTrt_H__WTrts_H_Ointros_I11_J_0, cls_ty_Osimps_I12_J_0, cls_ty_Osplit__asm_18, cls_ty_Osplit_13, cls_exp_Osimps_I61_J_0, cls_WTrt__env__mono_0, cls_ty_Osplit_1, cls_exp_Osimps_I26_J_0, cls_WT__elim__cases_I6_J_0, cls_ty_Osplit__asm_33, cls_ty_Osimps_I19_J_0, cls_exp_Osimps_I8_J_2, cls_WTrtNew_0, cls_ty_Osimps_I18_J_0, cls_ty_Osimps_I15_J_0, cls_calculation_0, cls_ty_Ocase__cong_7, cls_exp_Osimps_I2_J_0, cls_ty_Osplit__asm_6, cls_ty_Ocase__cong_17, cls_ty_Osplit_22, cls_sub_0, cls_ty_Osplit_33, cls_exp_Osimps_I27_J_0, cls_WTrt_H__WTrts_H_Ointros_I2_J_0, cls_ty_Osplit__asm_22, cls_is__refT__def_1, cls_ty_Osimps_I7_J_0, cls_ty_Osplit__asm_11, cls_ty_Osplit_35, cls_ty_Ocase__cong_30, cls_exp_Osimps_I60_J_0, cls_ty_Orecs_I1_J_0, cls_ty_Osplit_19, cls_ty_Osimps_I16_J_0, cls_ty_Osplit_2, cls_ty_Ocase__cong_9, cls_exp_Osimps_I7_J_1, cls_WTrtSeq_0, cls_wt_092_060_094isub_0622_0, cls_ty_Osimps_I26_J_0, cls_exp_Osimps_I55_J_0, cls_ty_Osplit_29, cls_exp_Osimps_I16_J_0, cls_ty_Osplit__asm_25, cls_ty_Osplit__asm_10, cls_Pair__eq_0, cls_ty_Osplit_30, cls_ty_Ocase__cong_12, cls_ty_Osplit_7, cls_exp_Osimps_I1_J_0, cls_exp_Osimps_I35_J_0, cls_ty_Osplit__asm_36, cls_WT__implies__WTrt_0, cls_wt_0, cls_ty_Oinject_0, cls_map__le__antisym_0, cls_ty_Osplit_18, cls_calculation_1, cls_wt_092_060_094isub_0621_H_0, cls_FAssRed1_Ohyps_I2_J_0, cls_ty_Ocase__cong_10, cls_WTrt_H__WTrts_H_Ointros_I18_J_0, cls_ty_Osplit__asm_14, cls_FAssRed1_Ohyps_I2_J_1, cls_ty_Osplit__asm_32, cls_ty_Ocase__cong_2, cls_WTrt_H__WTrts_H_Ointros_I8_J_0, cls_ty_Orecs_I2_J_0, cls_exp_Osimps_I53_J_0, cls_ty_Orecs_I3_J_0, cls_ty_Ocase__cong_22, cls_WTrtFAcc_0, cls_ty_Oinduct_0, cls_exp_Osimps_I54_J_0, cls_exp_Osimps_I8_J_1, cls_ty_Orecs_I4_J_0, cls_WTNew_0, cls_exp_Osimps_I34_J_0, cls_ty_Osimps_I21_J_0, cls_wt_H__wt_0, cls_wt_092_060_094isub_0622_H_0, cls_ty_Osplit__asm_7, cls_ty_Osplit_8, cls_ty_Osplit_23, cls_ty_Osimps_I23_J_0, cls_widen__trans_0, cls_WTrt__elim__cases_I7_J_1, cls_is__refT__def_2, cls_ty_Osimps_I6_J_0, cls_exp_Osimps_I155_J_0, cls_ty_Ocase__cong_16, cls_ty_Osplit_34, cls_sees__field__fun_1, cls_ty_Osplit__asm_21, cls_ty_Osplit__asm_8, cls_ty_Osplit__asm_13, cls_exp_Osimps_I161_J_0, cls_ty_Osplit__asm_24, cls_exp_Osimps_I7_J_0, cls_ty_Orecs_I5_J_0, cls_WTrt__elim__cases_I8_J_4, cls_ty_Ocase__cong_24, cls_ty_Osplit__asm_35, cls_exp_Osimps_I8_J_0, cls_ty_Ocase__cong_0, cls_ty_Ocase__cong_27, cls_ty_Ocase__cong_11, cls_WTrt_H__WTrts_H_Ointros_I1_J_0, cls_ty_Osplit_17, cls_ty_Osimps_I2_J_0, cls_exp_Osimps_I52_J_0, cls_ty_Ocase__cong_15, cls_WTrt__elim__cases_I8_J_0, cls_ty_Oexhaust_0, cls_ty_Osplit__asm_20, cls_ty_Ocase__cong_6, cls_WT__elim__cases_I10_J_0, cls_ty_Osplit_28, cls_wt__env__mono_0, cls_sees__field__idemp_0, cls_sees__field__fun_0, cls_ty_Osplit_26, cls_WT__elim__cases_I7_J_0, cls_ty_Osimps_I14_J_0, cls_ty_Osimps_I10_J_0, cls_ty_Osplit__asm_4, cls_wt__wt_H_0, cls_ty_Ocase__cong_19, cls_ty_Osimps_I4_J_0, cls_ty_Osplit_15, cls_UsubC_0, cls_ty_Ocase__cong_1, cls_COMBI__def_0, cls_ty_Osplit__asm_27, cls_ty_Osplit_31, cls_Pair__eq_1, cls_ty_Oinducts_0, cls_FAssRed1_I2_J_0, cls_WTrt__elim__cases_I7_J_0, cls_WTrtCast_0, cls_ty_Osplit__asm_16, cls_WTrt_H__WTrts_H_Ointros_I10_J_0, cls_ty_Ocase__cong_21, cls_WT__elim__cases_I6_J_2, cls_ty_Osplit_3, cls_ty_Osplit__asm_31, cls_ty_Ocase__cong_23, cls_IH_1, cls_WTrt__elim__cases_I8_J_1, cls_ty_Osplit_20
% 8.54/2.95 % No. of inferences in proof: 509
% 8.54/2.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2521 ms resp. 1977 ms w/o parsing
% 9.03/3.11 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.03/3.12 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------