%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV968-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:01:09 AM UTC 2026
% Result : Unsatisfiable 10.45s 3.34s
% Output : Refutation 11.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 265
% Syntax : Number of formulae : 531 ( 155 unt; 0 typ; 0 def)
% Number of atoms : 1680 ( 839 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 10017 ( 730 ~;1149 |; 0 &;8138 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 13 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 72 ( 70 usr; 23 con; 0-7 aty)
% Number of variables : 3076 ( 0 ^;3076 !; 0 ?;3076 :)
% Comments :
%------------------------------------------------------------------------------
thf(c_WellTypeRT_OWTrt_decl,type,
c_WellTypeRT_OWTrt: $i > $i > $i > $i > $i > $o ).
thf(v_P_decl,type,
v_P: $i ).
thf(v_h_Ha_____decl,type,
v_h_Ha____: $i ).
thf(v_E_____decl,type,
v_E____: $i ).
thf(v_e_Ha_____decl,type,
v_e_Ha____: $i ).
thf(c_Type_Oty_OClass_decl,type,
c_Type_Oty_OClass: $i > $i ).
thf(v_C_H_____decl,type,
v_C_H____: $i ).
thf(c_Decl_Ois__class_decl,type,
c_Decl_Ois__class: $i > $i > $i > $o ).
thf(tc_prod_decl,type,
tc_prod: $i > $i > $i ).
thf(tc_List_Olist_decl,type,
tc_List_Olist: $i > $i ).
thf(tc_String_Ochar_decl,type,
tc_String_Ochar: $i ).
thf(tc_Expr_Oexp_decl,type,
tc_Expr_Oexp: $i > $i ).
thf(c_WellType_OWT_decl,type,
c_WellType_OWT: $i > $i > $i > $i > $o ).
thf(c_Expr_Oexp_Onew_decl,type,
c_Expr_Oexp_Onew: $i > $i > $i ).
thf(hBOOL_decl,type,
hBOOL: $i > $o ).
thf(hAPP_decl,type,
hAPP: $i > $i > $i ).
thf(c_Type_Oty_Oty__case_decl,type,
c_Type_Oty_Oty__case: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(v_sko__Type__Xty__Xsplit__asm__1_decl,type,
v_sko__Type__Xty__Xsplit__asm__1: $i > $i > $i > $i ).
thf(c_Type_Oty_ONT_decl,type,
c_Type_Oty_ONT: $i ).
thf(c_Type_Oty_OInteger_decl,type,
c_Type_Oty_OInteger: $i ).
thf(c_Type_Oty_OVoid_decl,type,
c_Type_Oty_OVoid: $i ).
thf(v_sko__Type__Xty__Xsplit__1_decl,type,
v_sko__Type__Xty__Xsplit__1: $i > $i > $i > $i ).
thf(c_Type_Oty_OBoolean_decl,type,
c_Type_Oty_OBoolean: $i ).
thf(c_Expr_Oexp_OCast_decl,type,
c_Expr_Oexp_OCast: $i > $i > $i > $i ).
thf(c_Expr_Oexp_OFAss_decl,type,
c_Expr_Oexp_OFAss: $i > $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OFAcc_decl,type,
c_Expr_Oexp_OFAcc: $i > $i > $i > $i > $i ).
thf(c_TypeRel_Osees__field_decl,type,
c_TypeRel_Osees__field: $i > $i > $i > $i > $i > $i > $o ).
thf(c_COMBI_decl,type,
c_COMBI: $i > $i > $i ).
thf(c_Expr_Oexp_OCall_decl,type,
c_Expr_Oexp_OCall: $i > $i > $i > $i > $i ).
thf(c_Type_Osko__Type__Xty__Xcase__cong__1__1_decl,type,
c_Type_Osko__Type__Xty__Xcase__cong__1__1: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OSeq_decl,type,
c_Expr_Oexp_OSeq: $i > $i > $i > $i ).
thf(c_Progress_OWTrt_H_decl,type,
c_Progress_OWTrt_H: $i > $i > $i > $i > $i > $o ).
thf(c_Progress_OWTrts_H_decl,type,
c_Progress_OWTrts_H: $i > $i > $i > $i > $i > $o ).
thf(c_Type_Oty_Oty__rec_decl,type,
c_Type_Oty_Oty__rec: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(c_Type_Ois__refT_decl,type,
c_Type_Ois__refT: $i > $o ).
thf(c_Map_Omap__le_decl,type,
c_Map_Omap__le: $i > $i > $i > $i > $o ).
thf(tc_Type_Oty_decl,type,
tc_Type_Oty: $i ).
thf(c_Pair_decl,type,
c_Pair: $i > $i > $i > $i > $i ).
thf(c_Objects_Ohext_decl,type,
c_Objects_Ohext: $i > $i > $o ).
thf(c_TypeRel_Owiden_decl,type,
c_TypeRel_Owiden: $i > $i > $i > $i > $o ).
thf(c_TypeRel_Ohas__field_decl,type,
c_TypeRel_Ohas__field: $i > $i > $i > $i > $i > $i > $o ).
thf(v_sko__local__XCallObj__Xhyps__2__1_decl,type,
v_sko__local__XCallObj__Xhyps__2__1: $i > $i > $i > $i > $i > $i ).
thf(v_ha_____decl,type,
v_ha____: $i ).
thf(v_ea_____decl,type,
v_ea____: $i ).
thf(c_TypeSafe__Mirabelle_Osconf_decl,type,
c_TypeSafe__Mirabelle_Osconf: $i > $i > $i > $o ).
thf(v_la_____decl,type,
v_la____: $i ).
thf(tc_fun_decl,type,
tc_fun: $i > $i > $i ).
thf(tc_nat_decl,type,
tc_nat: $i ).
thf(tc_Option_Ooption_decl,type,
tc_Option_Ooption: $i > $i ).
thf(tc_Value_Oval_decl,type,
tc_Value_Oval: $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1_decl,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_decl,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(v_U_____decl,type,
v_U____: $i ).
thf(v_sko__unknown__thm__BwcM__1_decl,type,
v_sko__unknown__thm__BwcM__1: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(v_M_____decl,type,
v_M____: $i ).
thf(v_T_____decl,type,
v_T____: $i ).
thf(v_esa_____decl,type,
v_esa____: $i ).
thf(v_sko__Type__Xty__Xinducts__1_decl,type,
v_sko__Type__Xty__Xinducts__1: $i > $i ).
thf(v_sko__local__XIH__1_decl,type,
v_sko__local__XIH__1: $i > $i > $i > $i > $i > $i ).
thf(c_Type_Osko__Type__XrefTE__1__1_decl,type,
c_Type_Osko__Type__XrefTE__1__1: $i > $i ).
thf(v_C_____decl,type,
v_C____: $i ).
thf(c_Type_Osko__Type__Xty__Xexhaust__1__1_decl,type,
c_Type_Osko__Type__Xty__Xexhaust__1__1: $i > $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1_decl,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1_decl,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1: $i > $i > $i > $i > $i > $i ).
thf(c_Type_Osko__Type__Xty__Xnchotomy__1__1_decl,type,
c_Type_Osko__Type__Xty__Xnchotomy__1__1: $i > $i ).
thf(c_Type_Osko__Type__Xis__refT__def__1__1_decl,type,
c_Type_Osko__Type__Xis__refT__def__1__1: $i > $i ).
thf(v_sko__local__XCallObj__2__1_decl,type,
v_sko__local__XCallObj__2__1: $i > $i > $i > $i > $i > $i ).
thf(v_sko__Value__Xdefault__val__Xinduct__1_decl,type,
v_sko__Value__Xdefault__val__Xinduct__1: $i > $i ).
thf(v_sko__Type__Xty__Xinduct__1_decl,type,
v_sko__Type__Xty__Xinduct__1: $i > $i ).
thf(222,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).
thf(892,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(189,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( B @ c_Expr_Oexp_OCast ) ) @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( A @ c_Decl_Ois__class ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_3) ).
thf(809,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( B @ c_Expr_Oexp_OCast ) ) @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( A @ c_Decl_Ois__class ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(124,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I186_J_0) ).
thf(629,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(76,axiom,
c_Type_Oty_ONT != c_Type_Oty_OInteger,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I17_J_0) ).
thf(479,plain,
c_Type_Oty_ONT != c_Type_Oty_OInteger,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(229,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_15) ).
thf(909,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(251,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( G @ c_Type_Oty_OClass @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_4) ).
thf(962,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( G @ c_Type_Oty_OClass @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(177,axiom,
! [A: $i] :
( ~ ( A @ c_Type_Ois__refT )
| ( A = c_Type_Oty_ONT )
| ( A
= ( A @ c_Type_Osko__Type__XrefTE__1__1 @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_refTE_0) ).
thf(777,plain,
! [A: $i] :
( ~ ( A @ c_Type_Ois__refT )
| ( A = c_Type_Oty_ONT )
| ( A
= ( A @ c_Type_Osko__Type__XrefTE__1__1 @ c_Type_Oty_OClass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(31,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OCall ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I30_J_0) ).
thf(352,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OCall ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(51,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OCall ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I170_J_0) ).
thf(408,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OCall ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(5,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( B @ c_Expr_Oexp_OCast ) ) @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( A @ c_Decl_Ois__class ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I6_J_2) ).
thf(276,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( B @ c_Expr_Oexp_OCast ) ) @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( A @ c_Decl_Ois__class ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(16,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( K @ ( J @ ( F @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_9) ).
thf(308,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( K @ ( J @ ( F @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(42,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( c_Type_Oty_OVoid @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_0) ).
thf(379,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( c_Type_Oty_OVoid @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(85,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_16) ).
thf(511,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(114,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I60_J_0) ).
thf(597,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(89,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_34) ).
thf(523,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(170,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_23) ).
thf(762,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(44,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( J @ ( I @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OInteger )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_19) ).
thf(384,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( J @ ( I @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OInteger )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(81,axiom,
c_Type_Oty_OInteger != c_Type_Oty_ONT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I16_J_0) ).
thf(500,plain,
c_Type_Oty_OInteger != c_Type_Oty_ONT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(73,axiom,
c_Type_Oty_OVoid != c_Type_Oty_ONT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I6_J_0) ).
thf(472,plain,
c_Type_Oty_OVoid != c_Type_Oty_ONT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(146,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( I @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( I @ ( E @ ( D @ ( H @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OBoolean ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_22) ).
thf(698,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( I @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( I @ ( E @ ( D @ ( H @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OBoolean ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(54,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( G @ ( I @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_23) ).
thf(417,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( G @ ( I @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(130,axiom,
c_Type_Oty_OInteger != c_Type_Oty_OVoid,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I5_J_0) ).
thf(651,plain,
c_Type_Oty_OInteger != c_Type_Oty_OVoid,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(46,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( G @ ( J @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OBoolean )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_7) ).
thf(389,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( G @ ( J @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OBoolean )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(155,axiom,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_ONT ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I21_J_0) ).
thf(724,plain,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_ONT ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(104,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_OInteger,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I10_J_0) ).
thf(570,plain,
c_Type_Oty_OBoolean != c_Type_Oty_OInteger,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(181,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( J @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( J @ ( E @ ( I @ ( C @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OInteger ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_10) ).
thf(785,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( J @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( J @ ( E @ ( I @ ( C @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OInteger ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(232,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ ( A @ c_Decl_Ois__class ) ) )
| ( C @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Onew ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTNew_0) ).
thf(917,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ ( A @ c_Decl_Ois__class ) ) )
| ( C @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Onew ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(33,axiom,
c_Type_Oty_ONT @ c_Type_Ois__refT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_is__refT__def_1) ).
thf(357,plain,
c_Type_Oty_ONT @ c_Type_Ois__refT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(246,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_9) ).
thf(949,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(186,axiom,
tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_C____ @ c_Type_Oty_OClass @ ( v_U____ @ ( v_P @ c_TypeRel_Owiden ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UsubC_0) ).
thf(802,plain,
tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_C____ @ c_Type_Oty_OClass @ ( v_U____ @ ( v_P @ c_TypeRel_Owiden ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(28,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_ONT @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= D ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I25_J_0) ).
thf(344,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_ONT @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(96,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I35_J_0) ).
thf(542,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(69,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_24) ).
thf(460,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(226,axiom,
( ( v_h_Ha____ @ ( v_esa____ @ ( v_e_Ha____ @ ( v_T____ @ ( v_P @ ( v_M____ @ ( v_E____ @ v_sko__unknown__thm__BwcM__1 ) ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ ( v_esa____ @ ( v_M____ @ ( v_e_Ha____ @ c_Expr_Oexp_OCall ) ) ) @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( v_U____ != c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_calculation_0) ).
thf(902,plain,
( ( v_h_Ha____ @ ( v_esa____ @ ( v_e_Ha____ @ ( v_T____ @ ( v_P @ ( v_M____ @ ( v_E____ @ v_sko__unknown__thm__BwcM__1 ) ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ ( v_esa____ @ ( v_M____ @ ( v_e_Ha____ @ c_Expr_Oexp_OCall ) ) ) @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( v_U____ != c_Type_Oty_ONT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(101,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D = I )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_3) ).
thf(559,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D = I )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(206,axiom,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_OBoolean ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I15_J_0) ).
thf(853,plain,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_OBoolean ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(213,axiom,
! [B: $i,A: $i] :
( ~ ( c_Type_Oty_OVoid @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OBoolean @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OInteger @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_ONT @ ( A @ hAPP ) @ hBOOL )
| ~ ( A @ v_sko__Value__Xdefault__val__Xinduct__1 @ c_Type_Oty_OClass @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_default__val_Oinduct_0) ).
thf(870,plain,
! [B: $i,A: $i] :
( ~ ( c_Type_Oty_OVoid @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OBoolean @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OInteger @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_ONT @ ( A @ hAPP ) @ hBOOL )
| ~ ( A @ v_sko__Value__Xdefault__val__Xinduct__1 @ c_Type_Oty_OClass @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(117,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_20) ).
thf(606,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(21,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I171_J_0) ).
thf(325,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(8,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_30) ).
thf(284,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(174,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XIH__1 ) ) ) ) @ ( v_e_Ha____ @ ( A @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IH_0) ).
thf(770,plain,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XIH__1 ) ) ) ) @ ( v_e_Ha____ @ ( A @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(168,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_7) ).
thf(756,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(64,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I174_J_0) ).
thf(443,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(41,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_10) ).
thf(376,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(129,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Pair ) ) ) )
!= ( D @ ( C @ ( F @ ( E @ c_Pair ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_1) ).
thf(646,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Pair ) ) ) )
!= ( D @ ( C @ ( F @ ( E @ c_Pair ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(78,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCall ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_0) ).
thf(485,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCall ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(86,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCall ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_1) ).
thf(514,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCall ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(188,axiom,
! [A: $i] :
( c_Type_Oty_OBoolean
!= ( A @ c_Type_Oty_OClass ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I14_J_0) ).
thf(806,plain,
! [A: $i] :
( c_Type_Oty_OBoolean
!= ( A @ c_Type_Oty_OClass ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(253,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( C @ ( F @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( F @ c_Objects_Ohext ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__hext__mono_0) ).
thf(966,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( C @ ( F @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( F @ c_Objects_Ohext ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(227,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtSeq_0) ).
thf(905,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(74,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I9_J_0) ).
thf(475,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(235,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( G @ ( F @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( E = c_Type_Oty_OVoid )
| ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_1) ).
thf(924,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( G @ ( F @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( E = c_Type_Oty_OVoid )
| ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(172,axiom,
! [B: $i,A: $i] :
( ~ ( c_Type_Oty_OVoid @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OBoolean @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OInteger @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_ONT @ ( A @ hAPP ) @ hBOOL )
| ~ ( A @ v_sko__Type__Xty__Xinducts__1 @ c_Type_Oty_OClass @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Oinducts_0) ).
thf(766,plain,
! [B: $i,A: $i] :
( ~ ( c_Type_Oty_OVoid @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OBoolean @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OInteger @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_ONT @ ( A @ hAPP ) @ hBOOL )
| ~ ( A @ v_sko__Type__Xty__Xinducts__1 @ c_Type_Oty_OClass @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(176,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_31) ).
thf(774,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(133,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OBoolean @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I23_J_0) ).
thf(660,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OBoolean @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(265,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_29) ).
thf(998,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(216,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_21) ).
thf(877,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(144,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_ONT )
| ( A
= ( G @ ( K @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( K @ ( J @ ( D @ ( I @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_4) ).
thf(692,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_ONT )
| ( A
= ( G @ ( K @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( K @ ( J @ ( D @ ( I @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(52,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_10) ).
thf(411,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(261,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( E @ c_Expr_Oexp_OCast ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( B @ ( D @ ( A @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1 ) ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_1) ).
thf(988,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( E @ c_Expr_Oexp_OCast ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( B @ ( D @ ( A @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1 ) ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(11,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = G )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_1) ).
thf(292,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = G )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(243,axiom,
v_T____ @ ( tc_String_Ochar @ tc_List_Olist @ ( v_esa____ @ ( v_M____ @ ( v_ea____ @ c_Expr_Oexp_OCall ) ) ) @ ( v_E____ @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_0) ).
thf(942,plain,
v_T____ @ ( tc_String_Ochar @ tc_List_Olist @ ( v_esa____ @ ( v_M____ @ ( v_ea____ @ c_Expr_Oexp_OCall ) ) ) @ ( v_E____ @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(43,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OInteger,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I4_J_0) ).
thf(381,plain,
c_Type_Oty_OVoid != c_Type_Oty_OInteger,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(37,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_36) ).
thf(366,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(93,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_16) ).
thf(534,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(3,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_14) ).
thf(270,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(91,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( E @ ( A @ c_Map_Omap__le ) ) ) )
| ~ ( D @ ( C @ ( B @ ( E @ c_Map_Omap__le ) ) ) )
| ( D @ ( C @ ( B @ ( A @ c_Map_Omap__le ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__trans_0) ).
thf(529,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( E @ ( A @ c_Map_Omap__le ) ) ) )
| ~ ( D @ ( C @ ( B @ ( E @ c_Map_Omap__le ) ) ) )
| ( D @ ( C @ ( B @ ( A @ c_Map_Omap__le ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(164,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_21) ).
thf(746,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(195,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = c_Type_Oty_OInteger )
| ( F = c_Type_Oty_ONT )
| ( F
= ( G @ ( J @ ( E @ ( F @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( F @ ( J @ ( I @ ( H @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_24) ).
thf(825,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = c_Type_Oty_OInteger )
| ( F = c_Type_Oty_ONT )
| ( F
= ( G @ ( J @ ( E @ ( F @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( F @ ( J @ ( I @ ( H @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(247,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( F @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( tc_Type_Oty @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( F @ c_Map_Omap__le ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__env__mono_0) ).
thf(952,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( F @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( tc_Type_Oty @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( F @ c_Map_Omap__le ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(30,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( J @ ( F @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OInteger )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_11) ).
thf(349,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( J @ ( F @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OInteger )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(47,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( I @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OInteger )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_27) ).
thf(392,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( I @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OInteger )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(12,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_20) ).
thf(297,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(59,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( J @ ( I @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_25) ).
thf(429,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( J @ ( I @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(182,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) @ ( D @ ( C @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_0) ).
thf(788,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) @ ( D @ ( C @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(157,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( K @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( K @ ( E @ ( J @ ( I @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OInteger ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_2) ).
thf(729,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( K @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( K @ ( E @ ( J @ ( I @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OInteger ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(249,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = c_Type_Oty_OBoolean )
| ( F = c_Type_Oty_OInteger )
| ( F = c_Type_Oty_ONT )
| ( F
= ( G @ ( K @ ( E @ ( F @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( F @ ( K @ ( J @ ( I @ ( H @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_16) ).
thf(957,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = c_Type_Oty_OBoolean )
| ( F = c_Type_Oty_OInteger )
| ( F = c_Type_Oty_ONT )
| ( F
= ( G @ ( K @ ( E @ ( F @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( F @ ( K @ ( J @ ( I @ ( H @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(223,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_33) ).
thf(894,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(35,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( I @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_29) ).
thf(361,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( I @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(61,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I57_J_0) ).
thf(435,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(135,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I26_J_0) ).
thf(665,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(221,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_19) ).
thf(889,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(140,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] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( L @ ( K @ ( J @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_1) ).
thf(682,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] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( L @ ( K @ ( J @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(150,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_25) ).
thf(710,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(202,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_15) ).
thf(842,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(256,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XCallObj__2__1 ) ) ) ) @ ( v_e_Ha____ @ ( A @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CallObj_I2_J_0) ).
thf(974,plain,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XCallObj__2__1 ) ) ) ) @ ( v_e_Ha____ @ ( A @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(109,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_TypeRel_Osees__field ) ) ) ) ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_has__visible__field_0) ).
thf(583,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_TypeRel_Osees__field ) ) ) ) ) )
| ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(88,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( B @ ( A @ c_TypeRel_Owiden ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__refl_0) ).
thf(522,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( B @ ( A @ c_TypeRel_Owiden ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(197,axiom,
tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( v_E____ @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conf_0) ).
thf(830,plain,
tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( v_E____ @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(87,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_22) ).
thf(519,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(215,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( B @ c_Expr_Oexp_OCast ) ) @ ( E @ ( D @ ( C @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A
= ( B @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_0) ).
thf(874,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( B @ c_Expr_Oexp_OCast ) ) @ ( E @ ( D @ ( C @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A
= ( B @ c_Type_Oty_OClass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(120,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I52_J_0) ).
thf(615,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(50,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_0) ).
thf(403,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(180,axiom,
( ( t_a @ ( v_P @ c_COMBI ) )
= v_P ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).
thf(783,plain,
( ( t_a @ ( v_P @ c_COMBI ) )
= v_P ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(55,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( J @ ( G @ ( F @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_13) ).
thf(420,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( J @ ( G @ ( F @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(22,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( H @ ( F @ ( C @ ( B @ ( A @ c_Progress_OWTrts_H ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCall ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I13_J_0) ).
thf(328,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( H @ ( F @ ( C @ ( B @ ( A @ c_Progress_OWTrts_H ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCall ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(219,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ c_Type_Ois__refT )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ ( A @ c_Decl_Ois__class ) ) )
| ( D @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtCast_0) ).
thf(884,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ c_Type_Ois__refT )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ ( A @ c_Decl_Ois__class ) ) )
| ( D @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(94,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I31_J_0) ).
thf(537,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(142,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_28) ).
thf(686,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(90,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( F @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I29_J_0) ).
thf(526,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( F @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(111,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OBoolean @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__rec ) ) ) ) ) ) )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Orecs_I2_J_0) ).
thf(590,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OBoolean @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__rec ) ) ) ) ) ) )
= B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(139,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_32) ).
thf(679,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(260,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_31) ).
thf(985,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(147,axiom,
! [A: $i] :
( c_Type_Oty_OVoid
!= ( A @ c_Type_Oty_OClass ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I8_J_0) ).
thf(701,plain,
! [A: $i] :
( c_Type_Oty_OVoid
!= ( A @ c_Type_Oty_OClass ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(161,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( F @ c_Type_Ois__refT )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ ( A @ c_Decl_Ois__class ) ) )
| ( D @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I2_J_0) ).
thf(738,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( F @ c_Type_Ois__refT )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ ( A @ c_Decl_Ois__class ) ) )
| ( D @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(131,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_6) ).
thf(654,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(68,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_14) ).
thf(457,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(154,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( F @ ( G @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) @ ( D @ ( C @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( H @ ( C @ ( E @ ( B @ ( G @ ( D @ ( F @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 ) ) ) ) ) ) @ c_Type_Oty_OClass @ ( E @ ( D @ ( C @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_3) ).
thf(721,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( F @ ( G @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) @ ( D @ ( C @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( H @ ( C @ ( E @ ( B @ ( G @ ( D @ ( F @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 ) ) ) ) ) ) @ c_Type_Oty_OClass @ ( E @ ( D @ ( C @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(39,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( c_Type_Oty_OInteger @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_2) ).
thf(371,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( c_Type_Oty_OInteger @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(82,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ c_Map_Omap__le ) ) ) )
| ~ ( D @ ( C @ ( A @ ( B @ c_Map_Omap__le ) ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__antisym_0) ).
thf(503,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( B @ ( A @ c_Map_Omap__le ) ) ) )
| ~ ( D @ ( C @ ( A @ ( B @ c_Map_Omap__le ) ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(240,axiom,
v_U____ @ ( v_e_Ha____ @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
thf(938,plain,
v_U____ @ ( v_e_Ha____ @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(1,negated_conjecture,
~ ( v_C_H____ @ c_Type_Oty_OClass @ ( v_e_Ha____ @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(266,plain,
~ ( v_C_H____ @ c_Type_Oty_OClass @ ( v_e_Ha____ @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(84,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_12) ).
thf(508,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(17,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_28) ).
thf(311,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(234,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] :
( ( F = c_Type_Oty_OVoid )
| ( F = c_Type_Oty_OBoolean )
| ( F = c_Type_Oty_OInteger )
| ( F = c_Type_Oty_ONT )
| ( F
= ( G @ ( L @ ( E @ ( F @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( F @ ( L @ ( K @ ( J @ ( I @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_0) ).
thf(921,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] :
( ( F = c_Type_Oty_OVoid )
| ( F = c_Type_Oty_OBoolean )
| ( F = c_Type_Oty_OInteger )
| ( F = c_Type_Oty_ONT )
| ( F
= ( G @ ( L @ ( E @ ( F @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( F @ ( L @ ( K @ ( J @ ( I @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(132,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I17_J_0) ).
thf(657,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(171,axiom,
v_U____ @ ( v_e_Ha____ @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wte_H_0) ).
thf(765,plain,
v_U____ @ ( v_e_Ha____ @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(49,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Pair ) ) ) )
!= ( D @ ( C @ ( F @ ( E @ c_Pair ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Pair__eq_0) ).
thf(398,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Pair ) ) ) )
!= ( D @ ( C @ ( F @ ( E @ c_Pair ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(138,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_1) ).
thf(674,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(134,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I160_J_0) ).
thf(662,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(153,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( C @ ( E @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) @ ( D @ ( G @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ ( H @ ( G @ ( F @ ( B @ ( E @ ( D @ ( C @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 ) ) ) ) ) ) @ ( E @ ( H @ ( G @ ( F @ ( B @ ( E @ ( D @ ( C @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 ) ) ) ) ) ) @ ( B @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_6) ).
thf(718,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( C @ ( E @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) @ ( D @ ( G @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ ( H @ ( G @ ( F @ ( B @ ( E @ ( D @ ( C @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 ) ) ) ) ) ) @ ( E @ ( H @ ( G @ ( F @ ( B @ ( E @ ( D @ ( C @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 ) ) ) ) ) ) @ ( B @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(121,axiom,
! [A: $i] :
( ( A @ c_Type_Ois__refT )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OInteger ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__refTE_0) ).
thf(618,plain,
! [A: $i] :
( ( A @ c_Type_Ois__refT )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OInteger ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(57,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( A @ ( A @ c_Map_Omap__le ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_map__le__refl_0) ).
thf(425,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( A @ ( A @ c_Map_Omap__le ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(207,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( E @ ( F @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( G @ ( B @ ( D @ ( A @ ( F @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 ) ) ) ) ) ) @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_4) ).
thf(856,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( E @ ( F @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( G @ ( B @ ( D @ ( A @ ( F @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 ) ) ) ) ) ) @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(105,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCall ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I156_J_0) ).
thf(573,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCall ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(143,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I16_J_0) ).
thf(689,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(159,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ c_Type_Oty_OClass @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( E @ ( F @ ( D @ ( G @ ( A @ c_TypeRel_Osees__field ) ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAcc ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTFAcc_0) ).
thf(733,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ c_Type_Oty_OClass @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( E @ ( F @ ( D @ ( G @ ( A @ c_TypeRel_Osees__field ) ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAcc ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(193,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( I @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( I @ ( E @ ( H @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OInteger ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_26) ).
thf(819,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( I @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( I @ ( E @ ( H @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OInteger ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(56,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ c_Objects_Ohext ) )
| ~ ( B @ ( C @ c_Objects_Ohext ) )
| ( B @ ( A @ c_Objects_Ohext ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hext__trans_0) ).
thf(423,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ c_Objects_Ohext ) )
| ~ ( B @ ( C @ c_Objects_Ohext ) )
| ( B @ ( A @ c_Objects_Ohext ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(158,axiom,
! [A: $i] : ( A @ c_Type_Oty_OClass @ c_Type_Ois__refT ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_is__refT__def_2) ).
thf(732,plain,
! [A: $i] : ( A @ c_Type_Oty_OClass @ c_Type_Ois__refT ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(175,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XIH__1 ) ) ) ) @ ( v_P @ c_TypeRel_Owiden ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_IH_1) ).
thf(772,plain,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XIH__1 ) ) ) ) @ ( v_P @ c_TypeRel_Owiden ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(163,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Onew ) @ ( E @ ( D @ ( C @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A
= ( B @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I10_J_0) ).
thf(743,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Onew ) @ ( E @ ( D @ ( C @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A
= ( B @ c_Type_Oty_OClass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(107,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( H @ ( G @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I11_J_0) ).
thf(579,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( H @ ( G @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(7,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I155_J_0) ).
thf(281,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(97,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCall ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I187_J_0) ).
thf(545,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCall ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(151,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_ONT )
| ( A
= ( G @ ( J @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( J @ ( I @ ( D @ ( C @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_12) ).
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_ONT )
| ( A
= ( G @ ( J @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( J @ ( I @ ( D @ ( C @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(25,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( K @ ( J @ ( I @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_17) ).
thf(335,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( K @ ( J @ ( I @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OInteger )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(233,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtFAccNT_0) ).
thf(919,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(148,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( J @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( J @ ( E @ ( D @ ( I @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_6) ).
thf(704,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( J @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( J @ ( E @ ( D @ ( I @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(95,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( E @ ( B @ ( A @ c_TypeRel_Owiden ) ) ) )
| ~ ( D @ ( C @ ( E @ ( A @ c_TypeRel_Owiden ) ) ) )
| ( D @ ( C @ ( B @ ( A @ c_TypeRel_Owiden ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__trans_0) ).
thf(540,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( E @ ( B @ ( A @ c_TypeRel_Owiden ) ) ) )
| ~ ( D @ ( C @ ( E @ ( A @ c_TypeRel_Owiden ) ) ) )
| ( D @ ( C @ ( B @ ( A @ c_TypeRel_Owiden ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(258,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Onew ) @ ( D @ ( C @ c_WellType_OWT ) ) ) )
| ( A
= ( B @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I10_J_0) ).
thf(979,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Onew ) @ ( D @ ( C @ c_WellType_OWT ) ) ) )
| ( A
= ( B @ c_Type_Oty_OClass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(225,axiom,
( v_U____
= ( v_C_H____ @ c_Type_Oty_OClass ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
thf(900,plain,
( v_U____
= ( v_C_H____ @ c_Type_Oty_OClass ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(198,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( A @ c_Expr_Oexp_OCast ) ) @ ( B @ ( E @ ( C @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1 ) ) ) ) @ c_Type_Ois__refT ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_2) ).
thf(831,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( A @ c_Expr_Oexp_OCast ) ) @ ( B @ ( E @ ( C @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__6__1 ) ) ) ) @ c_Type_Ois__refT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(262,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( F @ ( G @ ( E @ ( H @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I8_J_0) ).
thf(990,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( F @ ( G @ ( E @ ( H @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(217,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XCallObj__Xhyps__2__1 ) ) ) ) @ ( v_e_Ha____ @ ( A @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CallObj_Ohyps_I2_J_0) ).
thf(880,plain,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XCallObj__Xhyps__2__1 ) ) ) ) @ ( v_e_Ha____ @ ( A @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(14,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I157_J_0) ).
thf(303,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(210,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XCallObj__2__1 ) ) ) ) @ ( v_P @ c_TypeRel_Owiden ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CallObj_I2_J_1) ).
thf(863,plain,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XCallObj__2__1 ) ) ) ) @ ( v_P @ c_TypeRel_Owiden ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(66,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I34_J_0) ).
thf(451,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(103,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( K @ ( G @ ( J @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_5) ).
thf(567,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( K @ ( G @ ( J @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(75,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I18_J_0) ).
thf(477,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(208,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( E @ ( G @ ( F @ ( B @ ( D @ ( G @ ( A @ ( F @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 ) ) ) ) ) ) @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I7_J_1) ).
thf(858,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( E @ ( G @ ( F @ ( B @ ( D @ ( G @ ( A @ ( F @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 ) ) ) ) ) ) @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(192,axiom,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_OVoid ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I9_J_0) ).
thf(816,plain,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_OVoid ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(118,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_30) ).
thf(609,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(185,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_29) ).
thf(799,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(122,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_0) ).
thf(621,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(204,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ c_Type_Oty_OClass @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__rec ) ) ) ) ) ) )
= ( F @ ( E @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Orecs_I5_J_0) ).
thf(848,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ c_Type_Oty_OClass @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__rec ) ) ) ) ) ) )
= ( F @ ( E @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(252,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( H @ ( G @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtFAssNT_0) ).
thf(964,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( H @ ( G @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(244,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_13) ).
thf(943,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(136,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I61_J_0) ).
thf(668,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(23,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OVoid @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I22_J_0) ).
thf(330,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OVoid @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(238,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_5) ).
thf(932,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(190,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ c_Type_Oty_OClass @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( F @ ( E @ hAPP ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I26_J_0) ).
thf(811,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ c_Type_Oty_OClass @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( F @ ( E @ hAPP ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(45,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( E @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( tc_Type_Oty @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ ( E @ c_Map_Omap__le ) ) ) )
| ( D @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt__env__mono_0) ).
thf(387,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( C @ ( E @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( tc_Type_Oty @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ ( E @ c_Map_Omap__le ) ) ) )
| ( D @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(123,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_ONT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I12_J_0) ).
thf(626,plain,
c_Type_Oty_OBoolean != c_Type_Oty_ONT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(231,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__implies__WTrt_0) ).
thf(915,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(173,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ ( A @ c_Decl_Ois__class ) ) )
| ( D @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Onew ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtNew_0) ).
thf(768,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ ( A @ c_Decl_Ois__class ) ) )
| ( D @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Onew ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(145,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( J @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( J @ ( E @ ( I @ ( H @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OInteger ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_18) ).
thf(695,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( J @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( J @ ( E @ ( I @ ( H @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OInteger ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(178,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ c_Type_Oty_OClass @ ( c_Type_Oty_ONT @ ( A @ c_TypeRel_Owiden ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_widen__Class_2) ).
thf(780,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ c_Type_Oty_OClass @ ( c_Type_Oty_ONT @ ( A @ c_TypeRel_Owiden ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(15,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ ( D @ ( C @ ( F @ ( A @ c_TypeRel_Osees__field ) ) ) ) ) )
| ( E @ ( B @ ( D @ ( C @ ( B @ ( A @ c_TypeRel_Osees__field ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sees__field__idemp_0) ).
thf(306,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( B @ ( D @ ( C @ ( F @ ( A @ c_TypeRel_Osees__field ) ) ) ) ) )
| ( E @ ( B @ ( D @ ( C @ ( B @ ( A @ c_TypeRel_Osees__field ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(62,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I28_J_0) ).
thf(438,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(230,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( I @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( I @ ( E @ ( D @ ( C @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_14) ).
thf(912,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A
= ( G @ ( I @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( I @ ( E @ ( D @ ( C @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(141,axiom,
! [A: $i] : ( A @ ( A @ c_Objects_Ohext ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_hext__refl_0) ).
thf(685,plain,
! [A: $i] : ( A @ ( A @ c_Objects_Ohext ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(6,axiom,
c_Type_Oty_ONT != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I13_J_0) ).
thf(278,plain,
c_Type_Oty_ONT != c_Type_Oty_OBoolean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(212,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).
thf(868,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(79,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_1) ).
thf(490,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(58,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I27_J_0) ).
thf(426,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(92,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( J @ ( G @ ( I @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_21) ).
thf(531,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( J @ ( G @ ( I @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_ONT )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(98,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( C @ c_Expr_Oexp_Onew ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I1_J_0) ).
thf(548,plain,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( C @ c_Expr_Oexp_Onew ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(236,axiom,
( v_U____
= ( v_C_H____ @ c_Type_Oty_OClass ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UClass_0) ).
thf(927,plain,
( v_U____
= ( v_C_H____ @ c_Type_Oty_OClass ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(165,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_11) ).
thf(749,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(241,axiom,
v_C____ @ c_Type_Oty_OClass @ ( v_ea____ @ ( v_E____ @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_wte_0) ).
thf(939,plain,
v_C____ @ c_Type_Oty_OClass @ ( v_ea____ @ ( v_E____ @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(32,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OVoid @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__rec ) ) ) ) ) ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Orecs_I1_J_0) ).
thf(355,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OVoid @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__rec ) ) ) ) ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(167,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ ( A @ c_Decl_Ois__class ) ) )
| ( D @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Onew ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I1_J_0) ).
thf(754,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ ( A @ c_Decl_Ois__class ) ) )
| ( D @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Onew ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(99,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_18) ).
thf(553,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(254,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_19) ).
thf(968,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(200,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_5) ).
thf(836,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(127,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( G @ ( F @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_15) ).
thf(640,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( G @ ( F @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(214,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( F @ ( I @ ( E @ ( J @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ~ ( H @ ( G @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( I @ ( H @ ( A @ c_TypeRel_Owiden ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I10_J_0) ).
thf(872,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( F @ ( I @ ( E @ ( J @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ~ ( H @ ( G @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( I @ ( H @ ( A @ c_TypeRel_Owiden ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(149,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = c_Type_Oty_ONT )
| ( F
= ( G @ ( I @ ( E @ ( F @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( F @ ( I @ ( H @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_28) ).
thf(707,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = c_Type_Oty_ONT )
| ( F
= ( G @ ( I @ ( E @ ( F @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( F @ ( I @ ( H @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(248,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_ONT )
| ( A
= ( G @ ( K @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( K @ ( J @ ( I @ ( C @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_8) ).
thf(954,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_ONT )
| ( A
= ( G @ ( K @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( K @ ( J @ ( I @ ( C @ ( H @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(53,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_26) ).
thf(414,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(255,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_25) ).
thf(971,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(183,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Type_Oty_OClass )
!= ( B @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Oinject_0) ).
thf(791,plain,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Type_Oty_OClass )
!= ( B @ c_Type_Oty_OClass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(63,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( c_Type_Oty_ONT @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_3) ).
thf(441,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( c_Type_Oty_ONT @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(110,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_1) ).
thf(585,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(70,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( E @ ( D @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ c_Expr_Oexp_OSeq ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTSeq_0) ).
thf(463,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( E @ ( D @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ c_Expr_Oexp_OSeq ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(26,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I154_J_0) ).
thf(338,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(128,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I53_J_0) ).
thf(643,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(228,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( F @ ( G @ ( E @ ( H @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtFAcc_0) ).
thf(907,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( F @ ( G @ ( E @ ( H @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(72,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_36) ).
thf(470,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(106,axiom,
c_Type_Oty_ONT != c_Type_Oty_OVoid,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I7_J_0) ).
thf(576,plain,
c_Type_Oty_ONT != c_Type_Oty_OVoid,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(115,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCall ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I56_J_0) ).
thf(600,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCall ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(156,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( E @ ( F @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( E @ ( G @ ( B @ ( D @ ( A @ ( F @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 ) ) ) ) ) ) @ ( F @ ( G @ ( B @ ( D @ ( A @ ( F @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 ) ) ) ) ) ) @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_7) ).
thf(727,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( E @ ( F @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( E @ ( G @ ( B @ ( D @ ( A @ ( F @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2 ) ) ) ) ) ) @ ( F @ ( G @ ( B @ ( D @ ( A @ ( F @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1 ) ) ) ) ) ) @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(18,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_0) ).
thf(314,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(65,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = H )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_2) ).
thf(446,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = H )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(113,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( c_Type_Oty_OBoolean @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_1) ).
thf(595,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( c_Type_Oty_OBoolean @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(119,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I3_J_0) ).
thf(612,plain,
c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(203,axiom,
! [A: $i] :
( ~ ( A @ c_Type_Ois__refT )
| ( A = c_Type_Oty_ONT )
| ( A
= ( A @ c_Type_Osko__Type__Xis__refT__def__1__1 @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_is__refT__def_0) ).
thf(845,plain,
! [A: $i] :
( ~ ( A @ c_Type_Ois__refT )
| ( A = c_Type_Oty_ONT )
| ( A
= ( A @ c_Type_Osko__Type__Xis__refT__def__1__1 @ c_Type_Oty_OClass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(71,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_2) ).
thf(465,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(100,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I161_J_0) ).
thf(556,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(77,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_22) ).
thf(482,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(137,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_12) ).
thf(671,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(257,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_7) ).
thf(976,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(108,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_ONT @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__rec ) ) ) ) ) ) )
= D ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Orecs_I4_J_0) ).
thf(581,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_ONT @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__rec ) ) ) ) ) ) )
= D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(80,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCall ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_2) ).
thf(495,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCall ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCall ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
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_ONT )
| ( A
= ( G @ ( J @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( J @ ( I @ ( D @ ( H @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OBoolean ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_20) ).
thf(759,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_ONT )
| ( A
= ( G @ ( J @ ( F @ ( A @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( A @ ( J @ ( I @ ( D @ ( H @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( A = c_Type_Oty_OBoolean ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(38,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I175_J_0) ).
thf(368,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(191,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_35) ).
thf(813,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(19,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_31) ).
thf(319,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(245,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_35) ).
thf(946,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(125,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_18) ).
thf(632,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(179,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( F @ ( I @ ( E @ ( J @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ~ ( H @ ( G @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( I @ ( H @ ( A @ c_TypeRel_Owiden ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrtFAss_0) ).
thf(781,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( J @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( F @ ( I @ ( E @ ( J @ ( A @ c_TypeRel_Ohas__field ) ) ) ) ) )
| ~ ( H @ ( G @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( I @ ( H @ ( A @ c_TypeRel_Owiden ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(264,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_17) ).
thf(995,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(10,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ c_COMBI ) )
= A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
thf(290,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_COMBI ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(237,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( B @ c_Expr_Oexp_OCast ) ) @ ( D @ ( C @ c_WellType_OWT ) ) ) )
| ( A
= ( B @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I6_J_0) ).
thf(929,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( B @ c_Expr_Oexp_OCast ) ) @ ( D @ ( C @ c_WellType_OWT ) ) ) )
| ( A
= ( B @ c_Type_Oty_OClass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(29,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_32) ).
thf(346,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(152,axiom,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XCallObj__Xhyps__2__1 ) ) ) ) @ ( v_P @ c_TypeRel_Owiden ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CallObj_Ohyps_I2_J_1) ).
thf(716,plain,
! [B: $i,A: $i] :
( ~ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ tc_fun ) @ ( tc_Value_Oval @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_fun ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_prod ) @ tc_Option_Ooption @ ( tc_nat @ tc_fun ) @ ( v_la____ @ ( v_ha____ @ c_Pair ) ) ) @ ( A @ ( v_P @ c_TypeSafe__Mirabelle_Osconf ) ) )
| ~ ( B @ ( v_ea____ @ ( A @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( v_h_Ha____ @ ( v_e_Ha____ @ ( B @ ( v_P @ ( A @ v_sko__local__XCallObj__Xhyps__2__1 ) ) ) ) @ ( v_P @ c_TypeRel_Owiden ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(9,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( H @ ( B @ ( E @ ( D @ ( C @ c_TypeRel_Osees__field ) ) ) ) ) )
| ~ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ c_TypeRel_Osees__field ) ) ) ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sees__field__fun_0) ).
thf(287,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( H @ ( B @ ( E @ ( D @ ( C @ c_TypeRel_Osees__field ) ) ) ) ) )
| ~ ( G @ ( F @ ( A @ ( E @ ( D @ ( C @ c_TypeRel_Osees__field ) ) ) ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(13,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_8) ).
thf(300,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(166,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Onew ) @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( A @ c_Decl_Ois__class ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I10_J_1) ).
thf(752,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Onew ) @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( A @ c_Decl_Ois__class ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(60,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_6) ).
thf(432,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(199,axiom,
! [A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_ONT )
| ( A
= ( A @ c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Onchotomy_0) ).
thf(833,plain,
! [A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_ONT )
| ( A
= ( A @ c_Type_Osko__Type__Xty__Xnchotomy__1__1 @ c_Type_Oty_OClass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(4,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_26) ).
thf(273,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(211,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_13) ).
thf(865,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OInteger )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(160,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_11) ).
thf(735,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(40,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I2_J_0) ).
thf(373,plain,
c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(116,axiom,
c_Type_Oty_OInteger != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I11_J_0) ).
thf(603,plain,
c_Type_Oty_OInteger != c_Type_Oty_OBoolean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(102,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ c_WellType_OWT ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I8_J_0) ).
thf(564,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) @ ( C @ ( B @ c_WellType_OWT ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(27,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I54_J_0) ).
thf(341,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(34,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I55_J_0) ).
thf(358,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(224,axiom,
! [A: $i] :
( c_Type_Oty_OInteger
!= ( A @ c_Type_Oty_OClass ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I18_J_0) ).
thf(897,plain,
! [A: $i] :
( c_Type_Oty_OInteger
!= ( A @ c_Type_Oty_OClass ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(196,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( B @ ( D @ ( G @ ( A @ ( F @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 ) ) ) ) ) ) @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I7_J_0) ).
thf(828,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( D @ c_Expr_Oexp_OFAcc ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( B @ ( D @ ( G @ ( A @ ( F @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__7__1 ) ) ) ) ) ) @ c_Type_Oty_OClass @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_ONT @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(184,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_23) ).
thf(796,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(220,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_27) ).
thf(886,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(83,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OInteger @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__rec ) ) ) ) ) ) )
= C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Orecs_I3_J_0) ).
thf(506,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OInteger @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__rec ) ) ) ) ) ) )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(2,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Onew ) @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( A @ c_Decl_Ois__class ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WT__elim__cases_I10_J_1) ).
thf(268,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Onew ) @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( B @ ( A @ c_Decl_Ois__class ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(250,axiom,
! [B: $i,A: $i] :
( ~ ( c_Type_Oty_OVoid @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OBoolean @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OInteger @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_ONT @ ( A @ hAPP ) @ hBOOL )
| ~ ( A @ v_sko__Type__Xty__Xinduct__1 @ c_Type_Oty_OClass @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Oinduct_0) ).
thf(960,plain,
! [B: $i,A: $i] :
( ~ ( c_Type_Oty_OVoid @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OBoolean @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_OInteger @ ( A @ hAPP ) @ hBOOL )
| ~ ( c_Type_Oty_ONT @ ( A @ hAPP ) @ hBOOL )
| ~ ( A @ v_sko__Type__Xty__Xinduct__1 @ c_Type_Oty_OClass @ ( A @ hAPP ) @ hBOOL )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(126,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = F )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_0) ).
thf(635,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = F )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAss ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(162,axiom,
( ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_T____ @ ( v_h_Ha____ @ ( v_esa____ @ ( v_e_Ha____ @ ( v_T____ @ ( v_P @ ( v_M____ @ ( v_E____ @ v_sko__unknown__thm__BwcM__1 ) ) ) ) ) ) @ ( v_P @ c_TypeRel_Owiden ) ) ) )
| ( v_U____ != c_Type_Oty_ONT ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_calculation_1) ).
thf(740,plain,
( ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_T____ @ ( v_h_Ha____ @ ( v_esa____ @ ( v_e_Ha____ @ ( v_T____ @ ( v_P @ ( v_M____ @ ( v_E____ @ v_sko__unknown__thm__BwcM__1 ) ) ) ) ) ) @ ( v_P @ c_TypeRel_Owiden ) ) ) )
| ( v_U____ != c_Type_Oty_ONT ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(24,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_8) ).
thf(332,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(209,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_17) ).
thf(860,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(263,axiom,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_OInteger ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I19_J_0) ).
thf(992,plain,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_OInteger ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(194,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_33) ).
thf(822,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(205,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_27) ).
thf(850,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(259,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F
= ( G @ ( H @ ( E @ ( F @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( F @ ( H @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_30) ).
thf(982,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F
= ( G @ ( H @ ( E @ ( F @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ c_Type_Oty_OClass ) )
| ( ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( G @ ( F @ ( H @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(48,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_24) ).
thf(395,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_OBoolean )
| ( G = c_Type_Oty_OInteger )
| ~ ( E @ ( A @ hAPP ) @ hBOOL )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(201,axiom,
! [A: $i] :
( c_Type_Oty_ONT
!= ( A @ c_Type_Oty_OClass ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I20_J_0) ).
thf(839,plain,
! [A: $i] :
( c_Type_Oty_ONT
!= ( A @ c_Type_Oty_OClass ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(20,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_34) ).
thf(322,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ hAPP ) @ hBOOL )
| ~ ( C @ ( A @ hAPP ) @ hBOOL )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ~ ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(187,axiom,
! [A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_ONT )
| ( A
= ( A @ c_Type_Osko__Type__Xty__Xexhaust__1__1 @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Oexhaust_0) ).
thf(803,plain,
! [A: $i] :
( ( A = c_Type_Oty_OVoid )
| ( A = c_Type_Oty_OBoolean )
| ( A = c_Type_Oty_OInteger )
| ( A = c_Type_Oty_ONT )
| ( A
= ( A @ c_Type_Osko__Type__Xty__Xexhaust__1__1 @ c_Type_Oty_OClass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(242,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ c_Type_Oty_OClass @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( E @ ( H @ ( D @ ( I @ ( A @ c_TypeRel_Osees__field ) ) ) ) ) )
| ~ ( G @ ( F @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( H @ ( G @ ( A @ c_TypeRel_Owiden ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAss ) ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_WTFAss_0) ).
thf(940,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ c_Type_Oty_OClass @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( E @ ( H @ ( D @ ( I @ ( A @ c_TypeRel_Osees__field ) ) ) ) ) )
| ~ ( G @ ( F @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( H @ ( G @ ( A @ c_TypeRel_Owiden ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAss ) ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(239,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit__asm_9) ).
thf(935,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G = c_Type_Oty_OVoid )
| ( G = c_Type_Oty_OBoolean )
| ~ ( D @ ( A @ hAPP ) @ hBOOL )
| ( G = c_Type_Oty_ONT )
| ( G
= ( G @ ( F @ ( A @ v_sko__Type__Xty__Xsplit__asm__1 ) ) @ c_Type_Oty_OClass ) )
| ( t_a @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(112,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( B @ ( H @ ( E @ ( D @ ( C @ c_TypeRel_Osees__field ) ) ) ) ) )
| ~ ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ c_TypeRel_Osees__field ) ) ) ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sees__field__fun_1) ).
thf(592,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( B @ ( H @ ( E @ ( D @ ( C @ c_TypeRel_Osees__field ) ) ) ) ) )
| ~ ( G @ ( A @ ( F @ ( E @ ( D @ ( C @ c_TypeRel_Osees__field ) ) ) ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(67,axiom,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( K @ ( J @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OInteger )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Ocase__cong_3) ).
thf(454,plain,
! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( B @ ( A @ ( H @ ( G @ ( F @ ( E @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= ( D @ ( B @ ( C @ ( H @ ( K @ ( J @ ( I @ c_Type_Oty_Oty__case ) ) ) ) ) ) ) )
| ( B = c_Type_Oty_OVoid )
| ( B = c_Type_Oty_OBoolean )
| ( B = c_Type_Oty_OInteger )
| ( ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( A @ hAPP ) )
!= ( D @ ( C @ ( A @ ( B @ c_Type_Osko__Type__Xty__Xcase__cong__1__1 ) ) ) @ ( C @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(36,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OInteger @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osimps_I24_J_0) ).
thf(364,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F @ ( c_Type_Oty_OInteger @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Type_Oty_Oty__case ) ) ) ) ) ) )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(218,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( G @ c_Type_Oty_OClass @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ty_Osplit_4) ).
thf(882,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( G @ ( F @ hAPP ) @ ( A @ hAPP ) @ hBOOL )
| ~ ( t_a @ ( G @ c_Type_Oty_OClass @ ( F @ ( E @ ( D @ ( C @ ( B @ c_Type_Oty_Oty__case ) ) ) ) ) ) @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(1002,plain,
$false,
inference(e,[status(thm)],[892,809,629,479,909,962,777,352,408,276,308,379,511,597,523,762,384,500,472,698,417,651,389,724,570,785,917,357,949,802,344,542,460,902,559,853,870,606,325,284,770,756,443,376,646,485,514,806,966,905,475,924,766,774,660,998,877,692,411,988,292,942,381,366,534,270,529,746,825,952,349,392,297,429,788,729,957,894,361,435,665,889,682,710,842,974,583,522,830,519,874,615,403,783,420,328,884,537,686,526,590,679,985,701,738,654,457,721,371,503,938,266,508,311,921,657,765,398,674,662,718,618,425,856,573,689,733,819,423,732,772,743,579,281,545,713,335,919,704,540,979,900,831,990,880,303,863,451,567,477,858,816,609,799,621,848,964,943,668,330,932,811,387,626,915,768,695,780,306,438,912,685,278,868,490,426,531,548,927,749,939,355,754,553,968,836,640,872,707,954,414,971,791,441,585,463,338,643,907,470,576,600,727,314,446,595,612,845,465,556,482,671,976,581,495,759,368,813,319,946,632,781,995,290,929,346,716,287,300,752,432,833,273,865,735,373,603,564,341,358,897,828,796,886,506,268,960,635,740,332,860,992,822,850,982,395,839,322,803,940,935,592,454,364,882]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV968-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.14/0.41 % Computer : n009.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sat Sep 26 15:15:45 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.70/0.71 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.40/0.92 % [INFO] Parsing done (212ms).
% 1.40/0.93 % [INFO] Running in sequential loop mode.
% 2.41/1.13 % [INFO] eprover registered as external prover.
% 2.41/1.14 % [INFO] Scanning for conjecture ...
% 3.01/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 266 axioms. Running axiom selection ...
% 3.31/1.45 % [INFO] Axiom selection finished. Selected 264 axioms (removed 2 axioms).
% 4.12/1.64 % [INFO] Problem is propositional (TPTP CNF).
% 4.12/1.66 % [INFO] Type checking passed.
% 4.12/1.67 % [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 ...
% 10.45/3.34 % External prover 'e' found a proof!
% 10.45/3.34 % [INFO] Killing All external provers ...
% 10.45/3.34 % Time passed: 2829ms (effective reasoning time: 2403ms)
% 10.45/3.34 % Axioms used in derivation (264): cls_ty_Osplit__asm_29, cls_WTrt__elim__cases_I8_J_3, cls_WTFAcc_0, cls_IH_0, cls_exp_Osimps_I56_J_0, cls_exp_Osimps_I156_J_0, cls_exp_Osimps_I9_J_1, 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_default__val_Oinduct_0, cls_UClass_0, cls_CallObj_Ohyps_I2_J_0, 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_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_11, cls_ty_Ocase__cong_28, cls_has__visible__field_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_ty_Osimps_I8_J_0, cls_WTrt_H__WTrts_H_Ointros_I13_J_0, cls_not__refTE_0, cls_widen__Class_2, cls_ty_Ocase__cong_8, cls_is__refT__def_0, cls_ty_Osplit_32, cls_ty_Osimps_I13_J_0, cls_exp_Osimps_I170_J_0, 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_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_exp_Osimps_I157_J_0, cls_ty_Onchotomy_0, cls_ty_Osplit__asm_9, cls_exp_Osimps_I171_J_0, cls_ty_Osplit_25, 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_exp_Osimps_I9_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_WTrt__elim__cases_I6_J_1, cls_WTrtFAssNT_0, cls_CallObj_I2_J_0, cls_ty_Osplit__asm_19, cls_ty_Ocase__cong_3, cls_conf_0, cls_CHAINED_0_01, cls_map__le__refl_0, cls_WTrtFAccNT_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_CallObj_I2_J_1, 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_exp_Osimps_I186_J_0, cls_CallObj_Ohyps_I2_J_1, 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_exp_Osimps_I30_J_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_WT__implies__WTrt_0, cls_wt_0, cls_ty_Oinject_0, cls_map__le__antisym_0, cls_refTE_0, cls_ty_Osplit__asm_36, cls_ty_Osplit_18, cls_calculation_1, cls_exp_Osimps_I57_J_0, cls_ty_Ocase__cong_10, cls_WTrt_H__WTrts_H_Ointros_I18_J_0, cls_ty_Osplit__asm_14, 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_wt_H__wt_0, cls_exp_Osimps_I34_J_0, cls_ty_Osimps_I21_J_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_exp_Osimps_I155_J_0, cls_ty_Ocase__cong_16, cls_ty_Osplit_34, cls_wte_H_0, cls_ty_Osimps_I6_J_0, cls_sees__field__fun_1, cls_ty_Osplit__asm_21, cls_ty_Osplit__asm_8, cls_ty_Osplit__asm_13, cls_exp_Osimps_I9_J_2, 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_wte_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_exp_Osimps_I31_J_0, cls_ty_Ocase__cong_15, cls_WTrt__elim__cases_I8_J_0, cls_exp_Osimps_I187_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_WTrt__elim__cases_I6_J_2, cls_sees__field__fun_0, cls_ty_Osplit_26, 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_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
% 10.45/3.34 % No. of inferences in proof: 531
% 10.45/3.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 2829 ms resp. 2403 ms w/o parsing
% 11.52/3.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.52/3.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------