%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWV961-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n018.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 09:01:08 AM UTC 2026
% Result : Unsatisfiable 12.07s 3.79s
% Output : Refutation 13.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 384
% Syntax : Number of formulae : 769 ( 421 unt; 0 typ; 0 def)
% Number of atoms : 1306 ( 597 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 10905 ( 840 ~; 537 |; 0 &;9528 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 70 ( 68 usr; 23 con; 0-8 aty)
% Number of variables : 4246 ( 0 ^;4246 !; 0 ?;4246 :)
% Comments :
%------------------------------------------------------------------------------
thf(v_thesis_____decl,type,
v_thesis____: $o ).
thf(c_SmallStep_Oredp_decl,type,
c_SmallStep_Oredp: $i > $i > $i > $i > $i > $o ).
thf(c_Expr_Oexp_OBlock_decl,type,
c_Expr_Oexp_OBlock: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OVal_decl,type,
c_Expr_Oexp_OVal: $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(c_Expr_Oexp_OBinOp_decl,type,
c_Expr_Oexp_OBinOp: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OSeq_decl,type,
c_Expr_Oexp_OSeq: $i > $i > $i > $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_OWhile_decl,type,
c_Expr_Oexp_OWhile: $i > $i > $i > $i ).
thf(c_WellTypeRT_OWTrt_decl,type,
c_WellTypeRT_OWTrt: $i > $i > $i > $i > $i > $o ).
thf(c_Fun_Ofun__upd_decl,type,
c_Fun_Ofun__upd: $i > $i > $i > $i > $i > $i ).
thf(c_Option_Ooption_OSome_decl,type,
c_Option_Ooption_OSome: $i > $i > $i ).
thf(tc_Type_Oty_decl,type,
tc_Type_Oty: $i ).
thf(tc_Option_Ooption_decl,type,
tc_Option_Ooption: $i > $i ).
thf(c_Expr_Oexp_OCond_decl,type,
c_Expr_Oexp_OCond: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OFAcc_decl,type,
c_Expr_Oexp_OFAcc: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_Onew_decl,type,
c_Expr_Oexp_Onew: $i > $i > $i ).
thf(c_Expr_Oexp_OLAss_decl,type,
c_Expr_Oexp_OLAss: $i > $i > $i > $i ).
thf(c_Expr_Oexp_Othrow_decl,type,
c_Expr_Oexp_Othrow: $i > $i > $i ).
thf(c_Expr_Oexp_OTryCatch_decl,type,
c_Expr_Oexp_OTryCatch: $i > $i > $i > $i > $i > $i ).
thf(hAPP_decl,type,
hAPP: $i > $i > $i ).
thf(c_Objects_Otypeof__h_decl,type,
c_Objects_Otypeof__h: $i > $i > $i ).
thf(c_Progress_OWTrt_H_decl,type,
c_Progress_OWTrt_H: $i > $i > $i > $i > $i > $o ).
thf(hBOOL_decl,type,
hBOOL: $i > $o ).
thf(c_TypeRel_Owiden_decl,type,
c_TypeRel_Owiden: $i > $i > $i ).
thf(tc_prod_decl,type,
tc_prod: $i > $i > $i ).
thf(tc_Expr_Oexp_decl,type,
tc_Expr_Oexp: $i > $i ).
thf(c_BigStep_Oeval_decl,type,
c_BigStep_Oeval: $i > $i > $i > $i > $i > $o ).
thf(c_Type_Oty_OVoid_decl,type,
c_Type_Oty_OVoid: $i ).
thf(c_Type_Oty_OBoolean_decl,type,
c_Type_Oty_OBoolean: $i ).
thf(c_Map_Omap__le_decl,type,
c_Map_Omap__le: $i > $i > $i > $i > $o ).
thf(c_Type_Oty_OClass_decl,type,
c_Type_Oty_OClass: $i > $i ).
thf(c_Value_Oval_ONull_decl,type,
c_Value_Oval_ONull: $i ).
thf(c_Type_Oty_ONT_decl,type,
c_Type_Oty_ONT: $i ).
thf(c_WellType_OWT_decl,type,
c_WellType_OWT: $i > $i > $i > $i > $o ).
thf(c_Decl_Ois__class_decl,type,
c_Decl_Ois__class: $i > $i > $i > $o ).
thf(c_COMBI_decl,type,
c_COMBI: $i > $i > $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_Expr_Obop_OEq_decl,type,
c_Expr_Obop_OEq: $i ).
thf(c_Type_Ois__refT_decl,type,
c_Type_Ois__refT: $i > $o ).
thf(c_WellType_Osko__WellType__XWT__elim__cases__2__2_decl,type,
c_WellType_Osko__WellType__XWT__elim__cases__2__2: $i > $i > $i > $i > $i > $i ).
thf(c_TypeRel_Ohas__field_decl,type,
c_TypeRel_Ohas__field: $i > $i > $i > $i > $i > $i > $o ).
thf(v_P_decl,type,
v_P: $i ).
thf(v_ha_____decl,type,
v_ha____: $i ).
thf(v_E_____decl,type,
v_E____: $i ).
thf(v_v_____decl,type,
v_v____: $i ).
thf(v_F_____decl,type,
v_F____: $i ).
thf(v_D_____decl,type,
v_D____: $i ).
thf(v_e_092_060_094isub_0622_____decl,type,
v_e_092_060_094isub_0622____: $i ).
thf(v_T_____decl,type,
v_T____: $i ).
thf(c_WellType_Osko__WellType__XWT__elim__cases__2__1_decl,type,
c_WellType_Osko__WellType__XWT__elim__cases__2__1: $i > $i > $i > $i > $i > $i ).
thf(c_Conform_Oconf_decl,type,
c_Conform_Oconf: $i > $i > $i > $i ).
thf(c_Conform_Osko__Conform__Xconf__def__1__1_decl,type,
c_Conform_Osko__Conform__Xconf__def__1__1: $i > $i > $i > $i > $i > $i ).
thf(v_C_____decl,type,
v_C____: $i ).
thf(c_in_decl,type,
c_in: $i > $i > $i > $o ).
thf(v_h_Ha_____decl,type,
v_h_Ha____: $i ).
thf(v_e_092_060_094isub_0622_H_____decl,type,
v_e_092_060_094isub_0622_H____: $i ).
thf(v_sko__CHAINED__1_decl,type,
v_sko__CHAINED__1: $i > $i > $i > $i > $i > $i ).
thf(v_T_092_060_094isub_0622_____decl,type,
v_T_092_060_094isub_0622____: $i ).
thf(t_a_decl,type,
t_a: $i ).
thf(c_fequal_decl,type,
c_fequal: $i > $i ).
thf(v_TF_____decl,type,
v_TF____: $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1_decl,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1: $i > $i > $i > $i > $i > $i > $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2_decl,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2: $i > $i > $i > $i > $i > $i > $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1_decl,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(c_TypeRel_Osko__TypeRel__XClass__widen__1__1_decl,type,
c_TypeRel_Osko__TypeRel__XClass__widen__1__1: $i > $i ).
thf(376,axiom,
v_T_092_060_094isub_0622____ @ ( v_e_092_060_094isub_0622____ @ ( v_E____ @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0622_0) ).
thf(1411,plain,
v_T_092_060_094isub_0622____ @ ( v_e_092_060_094isub_0622____ @ ( v_E____ @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(237,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( c_Type_Oty_OBoolean @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_0) ).
thf(1024,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( c_Type_Oty_OBoolean @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(284,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I11_J_0) ).
thf(1168,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)],[284]) ).
thf(48,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( D @ tc_Option_Ooption @ ( E @ ( D @ ( C @ c_Option_Ooption_OSome ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= ( D @ ( C @ c_Option_Ooption_OSome ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upd__Some__unfold_3) ).
thf(518,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( D @ tc_Option_Ooption @ ( E @ ( D @ ( C @ c_Option_Ooption_OSome ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= ( D @ ( C @ c_Option_Ooption_OSome ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(323,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I160_J_0) ).
thf(1295,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)],[323]) ).
thf(105,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I149_J_0) ).
thf(645,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(192,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I86_J_0) ).
thf(892,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(354,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( G @ ( H @ c_Expr_Oexp_OCond ) ) ) @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( H @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( G @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( C @ ( F @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_2) ).
thf(1369,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( G @ ( H @ c_Expr_Oexp_OCond ) ) ) @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( H @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( G @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( C @ ( F @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(292,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_OTryCatch ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_2) ).
thf(1190,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_OTryCatch ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(305,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__env__mono_0) ).
thf(1237,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)],[305]) ).
thf(178,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/sandbox2/benchmark/theBenchmark.p',cls_wt__env__mono_0) ).
thf(846,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)],[178]) ).
thf(198,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I74_J_0) ).
thf(909,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(240,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I108_J_0) ).
thf(1031,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(216,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/sandbox2/benchmark/theBenchmark.p',cls_WTSeq_0) ).
thf(962,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)],[216]) ).
thf(28,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_OVal ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_OVal ) @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_OVal ) @ ( B @ c_Expr_Oexp_OLAss ) ) @ c_Expr_Oexp_OSeq ) ) @ ( C @ ( B @ c_Expr_Oexp_OBlock ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedInitBlock_0) ).
thf(468,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_OVal ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_OVal ) @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_OVal ) @ ( B @ c_Expr_Oexp_OLAss ) ) @ c_Expr_Oexp_OSeq ) ) @ ( C @ ( B @ c_Expr_Oexp_OBlock ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(294,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_ONT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I12_J_0) ).
thf(1200,plain,
c_Type_Oty_OBoolean != c_Type_Oty_ONT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(222,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I18_J_0) ).
thf(977,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)],[222]) ).
thf(281,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/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAccNT_0) ).
thf(1158,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)],[281]) ).
thf(374,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ c_Type_Oty_OClass @ ( C @ ( B @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A
= ( A @ c_TypeRel_Osko__TypeRel__XClass__widen__1__1 @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Class__widen_0) ).
thf(1406,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( D @ c_Type_Oty_OClass @ ( C @ ( B @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A
= ( A @ c_TypeRel_Osko__TypeRel__XClass__widen__1__1 @ c_Type_Oty_OClass ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(251,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I78_J_0) ).
thf(1068,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(371,axiom,
v_TF____ @ ( v_T_092_060_094isub_0622____ @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_P @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_TsubTF_0) ).
thf(1401,plain,
v_TF____ @ ( v_T_092_060_094isub_0622____ @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_P @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(381,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( C @ c_WellType_OWT ) ) ) )
| ~ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A
= ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_5) ).
thf(1422,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( C @ c_WellType_OWT ) ) ) )
| ~ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A
= ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(138,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) @ ( C @ ( B @ c_WellType_OWT ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I1_J_0) ).
thf(741,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) @ ( C @ ( B @ c_WellType_OWT ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(243,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_0) ).
thf(1041,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)],[243]) ).
thf(188,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_0) ).
thf(878,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)],[188]) ).
thf(45,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OSeq ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedSeq_0) ).
thf(511,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( C @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OSeq ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(383,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( G @ ( H @ c_Expr_Oexp_OCond ) ) ) @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( H @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( G @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( C @ ( F @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCond_0) ).
thf(1426,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( G @ ( H @ c_Expr_Oexp_OCond ) ) ) @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( H @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( G @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( C @ ( F @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(1,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(385,plain,
~ v_thesis____,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(63,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( A @ ( A @ c_Map_Omap__le ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__refl_0) ).
thf(550,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( B @ ( A @ ( A @ c_Map_Omap__le ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(41,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ hAPP ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_1) ).
thf(500,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ hAPP ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(131,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I96_J_0) ).
thf(715,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(317,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_0) ).
thf(1275,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(30,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_OTryCatch ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I205_J_0) ).
thf(472,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_OTryCatch ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(340,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
thf(1342,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( A @ ( B @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( A @ c_in ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(211,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_2) ).
thf(945,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)],[211]) ).
thf(206,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I174_J_0) ).
thf(930,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)],[206]) ).
thf(114,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OSeq ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OSeqThrow_0) ).
thf(670,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OSeq ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(328,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/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I10_J_0) ).
thf(1310,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)],[328]) ).
thf(55,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_OBoolean @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I3_J_1) ).
thf(533,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_OBoolean @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(166,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I175_J_0) ).
thf(814,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)],[166]) ).
thf(334,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I207_J_0) ).
thf(1327,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(194,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I27_J_0) ).
thf(898,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)],[194]) ).
thf(230,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I151_J_0) ).
thf(1001,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(365,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( E @ ( D @ ( C @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( E @ ( D @ ( C @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_3) ).
thf(1391,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( E @ ( D @ ( C @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( E @ ( D @ ( C @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(153,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I54_J_0) ).
thf(782,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)],[153]) ).
thf(129,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I155_J_0) ).
thf(709,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)],[129]) ).
thf(176,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( C @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( E @ ( C @ ( D @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_1) ).
thf(841,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( C @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( E @ ( C @ ( D @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(70,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OBinOpThrow1_0) ).
thf(565,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(171,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I1_J_0) ).
thf(829,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)],[171]) ).
thf(7,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_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I58_J_0) ).
thf(404,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_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(375,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( G @ ( E @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( B @ ( H @ ( D @ ( G @ ( F @ ( A @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 ) ) ) ) ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_0) ).
thf(1409,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( G @ ( E @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( B @ ( H @ ( D @ ( G @ ( F @ ( A @ ( C @ ( E @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 ) ) ) ) ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(72,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( E @ c_Expr_Oexp_OSeq ) ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OSeq ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OSeqRed_0) ).
thf(570,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( E @ c_Expr_Oexp_OSeq ) ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OSeq ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(324,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( C @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I41_J_0) ).
thf(1298,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( C @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(154,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_OTryCatch ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_0) ).
thf(785,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_OTryCatch ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(329,axiom,
v_C____ @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( v_v____ @ c_Expr_Oexp_OVal ) @ ( v_E____ @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0621_0) ).
thf(1313,plain,
v_C____ @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( v_v____ @ c_Expr_Oexp_OVal ) @ ( v_E____ @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(335,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I166_J_0) ).
thf(1330,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(313,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I84_J_0) ).
thf(1264,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(167,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( D @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I44_J_0) ).
thf(817,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( D @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(68,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ hAPP ) )
= C )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
!= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__idem__iff_0) ).
thf(559,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( A @ hAPP ) )
= C )
| ( ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
!= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(101,axiom,
! [A: $i] :
( ( c_Value_Oval_ONull @ ( A @ c_Objects_Otypeof__h ) )
= ( tc_Type_Oty @ ( c_Type_Oty_ONT @ c_Option_Ooption_OSome ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typeof__h_Osimps_I2_J_0) ).
thf(638,plain,
! [A: $i] :
( ( c_Value_Oval_ONull @ ( A @ c_Objects_Otypeof__h ) )
= ( tc_Type_Oty @ ( c_Type_Oty_ONT @ c_Option_Ooption_OSome ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(359,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 ) ) ) )
| ~ ( F @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( c_Type_Oty_OBoolean @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( c_Expr_Obop_OEq @ ( C @ c_Expr_Oexp_OBinOp ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTBinOpEq_1) ).
thf(1379,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 ) ) ) )
| ~ ( F @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( c_Type_Oty_OBoolean @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( c_Expr_Obop_OEq @ ( C @ c_Expr_Oexp_OBinOp ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(308,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I77_J_0) ).
thf(1247,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OFAcc ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(219,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I9_J_0) ).
thf(969,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)],[219]) ).
thf(148,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( C @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I91_J_0) ).
thf(770,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( C @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(351,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( F @ ( C @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A
= ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_5) ).
thf(1362,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( F @ ( C @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A
= ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(262,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I35_J_0) ).
thf(1100,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)],[262]) ).
thf(304,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_0) ).
thf(1232,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)],[304]) ).
thf(331,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I8_J_0) ).
thf(1319,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)],[331]) ).
thf(13,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBlock ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_1) ).
thf(421,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBlock ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(369,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).
thf(1398,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( C @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(189,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I16_J_0) ).
thf(881,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)],[189]) ).
thf(11,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_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I197_J_0) ).
thf(416,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_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(38,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_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I178_J_0) ).
thf(492,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_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(143,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_3) ).
thf(756,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)],[143]) ).
thf(81,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = B )
| ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= ( F @ ( A @ hAPP ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__other_0) ).
thf(591,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = B )
| ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= ( F @ ( A @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(356,axiom,
! [B: $i,A: $i] : ( B @ ( B @ ( A @ c_fequal @ hAPP ) @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
thf(1373,plain,
! [B: $i,A: $i] : ( B @ ( B @ ( A @ c_fequal @ hAPP ) @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(94,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( C @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OLAss ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OLAssThrow_0) ).
thf(623,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( C @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OLAss ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(278,axiom,
c_Type_Oty_ONT != c_Type_Oty_OVoid,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I7_J_0) ).
thf(1151,plain,
c_Type_Oty_ONT != c_Type_Oty_OVoid,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(361,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( E @ ( B @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( C @ ( H @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( D @ ( H @ ( G @ ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 ) ) ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_2) ).
thf(1383,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( E @ ( B @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( C @ ( H @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( D @ ( H @ ( G @ ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 ) ) ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(162,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 ) ) ) ) )
| ~ ( I @ ( H @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( 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/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I10_J_0) ).
thf(806,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 ) ) ) ) )
| ~ ( I @ ( H @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( 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)],[162]) ).
thf(218,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( C @ ( E @ ( D @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( F @ ( B @ ( E @ ( A @ ( D @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__def_2) ).
thf(966,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( C @ ( E @ ( D @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( F @ ( B @ ( E @ ( A @ ( D @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(319,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I17_J_0) ).
thf(1283,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)],[319]) ).
thf(33,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( E @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OCond ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCondRed_0) ).
thf(480,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( E @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OCond ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(31,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I59_J_0) ).
thf(475,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(204,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I28_J_0) ).
thf(924,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)],[204]) ).
thf(35,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I208_J_0) ).
thf(485,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(272,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( C @ c_Expr_Oexp_OVal ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I3_J_0) ).
thf(1136,plain,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( C @ c_Expr_Oexp_OVal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(173,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I50_J_0) ).
thf(834,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(121,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/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I6_J_2) ).
thf(687,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)],[121]) ).
thf(358,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( G @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( F @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( E @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCond_1) ).
thf(1377,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( G @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( F @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( E @ ( D @ ( C @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(214,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ ( E @ ( A @ ( C @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
= ( tc_Type_Oty @ ( E @ ( B @ ( A @ ( D @ ( C @ c_Conform_Osko__Conform__Xconf__def__1__1 ) ) ) ) @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__def_0) ).
thf(956,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( B @ ( E @ ( A @ ( C @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
= ( tc_Type_Oty @ ( E @ ( B @ ( A @ ( D @ ( C @ c_Conform_Osko__Conform__Xconf__def__1__1 ) ) ) ) @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(23,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I142_J_0) ).
thf(453,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(267,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( A @ ( D @ ( C @ ( B @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A = c_Value_Oval_ONull ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__NT_0) ).
thf(1119,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_ONT @ ( A @ ( D @ ( C @ ( B @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A = c_Value_Oval_ONull ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(5,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I196_J_0) ).
thf(396,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(345,axiom,
( ( t_a @ ( v_P @ c_COMBI ) )
= v_P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).
thf(1351,plain,
( ( t_a @ ( v_P @ c_COMBI ) )
= v_P ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(299,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I216_J_0) ).
thf(1215,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(99,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( C @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OCast ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OCastThrow_0) ).
thf(634,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( C @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OCast ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(253,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I153_J_0) ).
thf(1074,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(296,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( C @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I19_J_0) ).
thf(1206,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( C @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(202,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I63_J_0) ).
thf(920,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(53,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_OSeq ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OSeqThrow_0) ).
thf(529,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_OSeq ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(61,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I64_J_0) ).
thf(546,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(145,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_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I46_J_0) ).
thf(761,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_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(164,axiom,
v_T____ @ ( tc_String_Ochar @ tc_List_Olist @ ( v_e_092_060_094isub_0622____ @ ( v_D____ @ ( v_F____ @ ( tc_String_Ochar @ tc_List_Olist @ ( v_v____ @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OFAss ) ) ) ) @ ( v_E____ @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_0) ).
thf(810,plain,
v_T____ @ ( tc_String_Ochar @ tc_List_Olist @ ( v_e_092_060_094isub_0622____ @ ( v_D____ @ ( v_F____ @ ( tc_String_Ochar @ tc_List_Olist @ ( v_v____ @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OFAss ) ) ) ) @ ( v_E____ @ ( v_ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(338,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( E @ ( B @ ( D @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( E @ ( D @ ( C @ ( A @ c_Conform_Osko__Conform__Xconf__def__1__1 ) ) ) ) @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__def_1) ).
thf(1338,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( E @ ( B @ ( D @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( E @ ( D @ ( C @ ( A @ c_Conform_Osko__Conform__Xconf__def__1__1 ) ) ) ) @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(46,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I222_J_0) ).
thf(512,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(210,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I112_J_0) ).
thf(942,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(245,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBinOp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_0) ).
thf(1047,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBinOp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(159,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I2_J_0) ).
thf(798,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)],[159]) ).
thf(248,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I51_J_0) ).
thf(1057,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(363,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ c_Type_Ois__refT )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtThrow_0) ).
thf(1387,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ c_Type_Ois__refT )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(259,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I69_J_0) ).
thf(1091,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(310,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( F @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I93_J_0) ).
thf(1255,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( F @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(184,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_0) ).
thf(862,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)],[184]) ).
thf(84,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( B @ c_Expr_Oexp_OLAss ) ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OLAss ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OLAssRed_0) ).
thf(598,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( B @ c_Expr_Oexp_OLAss ) ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OLAss ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(168,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_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I101_J_0) ).
thf(820,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_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(15,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I200_J_0) ).
thf(429,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(236,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( E @ ( A @ ( D @ c_Progress_OWTrt_H ) ) ) ) )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I3_J_0) ).
thf(1021,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( E @ ( A @ ( D @ c_Progress_OWTrt_H ) ) ) ) )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(151,axiom,
! [A: $i] : ( A @ c_Type_Oty_OClass @ c_Type_Ois__refT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_is__refT__def_2) ).
thf(778,plain,
! [A: $i] : ( A @ c_Type_Oty_OClass @ c_Type_Ois__refT ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(8,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I82_J_0) ).
thf(407,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(97,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( c_Value_Oval_ONull @ c_Expr_Oexp_OVal ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( c_Value_Oval_ONull @ c_Expr_Oexp_OVal ) @ ( B @ c_Expr_Oexp_OCast ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedCastNull_0) ).
thf(630,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( c_Value_Oval_ONull @ c_Expr_Oexp_OVal ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( c_Value_Oval_ONull @ c_Expr_Oexp_OVal ) @ ( B @ c_Expr_Oexp_OCast ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(352,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( D @ ( C @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( G @ ( D @ ( C @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( F @ ( D @ ( C @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( E @ ( D @ ( C @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_1) ).
thf(1365,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( D @ ( C @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( G @ ( D @ ( C @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( F @ ( D @ ( C @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( E @ ( D @ ( C @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(95,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( E @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( F @ c_Expr_Oexp_OFAcc ) ) ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OFAcc ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAccRed_0) ).
thf(625,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( E @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( F @ c_Expr_Oexp_OFAcc ) ) ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OFAcc ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(17,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I104_J_0) ).
thf(435,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(288,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/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I6_J_0) ).
thf(1178,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)],[288]) ).
thf(112,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OFAcc ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OFAccThrow_0) ).
thf(665,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OFAcc ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(191,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I67_J_0) ).
thf(889,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(255,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/sandbox2/benchmark/theBenchmark.p',cls_WTrtCast_0) ).
thf(1079,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)],[255]) ).
thf(24,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I202_J_0) ).
thf(456,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(221,axiom,
! [A: $i] :
( c_Type_Oty_ONT
!= ( A @ c_Type_Oty_OClass ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I20_J_0) ).
thf(974,plain,
! [A: $i] :
( c_Type_Oty_ONT
!= ( A @ c_Type_Oty_OClass ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(233,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_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I68_J_0) ).
thf(1012,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_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(78,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( D @ tc_Option_Ooption @ ( G @ ( D @ ( F @ c_Option_Ooption_OSome ) @ ( E @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= ( D @ ( C @ c_Option_Ooption_OSome ) ) )
| ( B = E )
| ( ( B @ ( A @ hAPP ) )
!= ( D @ ( C @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upd__Some__unfold_4) ).
thf(583,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( B @ ( D @ tc_Option_Ooption @ ( G @ ( D @ ( F @ c_Option_Ooption_OSome ) @ ( E @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= ( D @ ( C @ c_Option_Ooption_OSome ) ) )
| ( B = E )
| ( ( B @ ( A @ hAPP ) )
!= ( D @ ( C @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(50,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ tc_Option_Ooption @ ( E @ ( D @ ( C @ c_Option_Ooption_OSome ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
!= ( D @ tc_Option_Ooption @ ( E @ ( D @ ( G @ c_Option_Ooption_OSome ) @ ( B @ ( F @ c_Fun_Ofun__upd ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upd__eqD1_0) ).
thf(522,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ tc_Option_Ooption @ ( E @ ( D @ ( C @ c_Option_Ooption_OSome ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
!= ( D @ tc_Option_Ooption @ ( E @ ( D @ ( G @ c_Option_Ooption_OSome ) @ ( B @ ( F @ c_Fun_Ofun__upd ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(119,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( G @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( B @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OTryRed_0) ).
thf(682,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( G @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( B @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(293,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_0) ).
thf(1195,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)],[293]) ).
thf(64,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 @ c_Expr_Oexp_OVal ) @ ( F @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ c_Expr_Oexp_OVal ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( B @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Try_0) ).
thf(551,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 @ c_Expr_Oexp_OVal ) @ ( F @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ c_Expr_Oexp_OVal ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( B @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(270,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_3) ).
thf(1128,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)],[270]) ).
thf(372,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( F @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( F @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( F @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_3) ).
thf(1402,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( F @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( F @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( F @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( C @ ( A @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(350,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I6_J_3) ).
thf(1360,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)],[350]) ).
thf(76,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__same_0) ).
thf(578,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(125,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_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I162_J_0) ).
thf(697,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_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(315,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_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I139_J_0) ).
thf(1270,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_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(107,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( D @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I89_J_0) ).
thf(650,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( D @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(303,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCond ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_0) ).
thf(1227,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCond ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(382,axiom,
v_C____ @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( v_v____ @ c_Expr_Oexp_OVal ) @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_092_060_094isub_0621_H_0) ).
thf(1425,plain,
v_C____ @ c_Type_Oty_OClass @ ( tc_String_Ochar @ tc_List_Olist @ ( v_v____ @ c_Expr_Oexp_OVal ) @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(3,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBlock ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_0) ).
thf(388,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = E )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBlock ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(88,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ tc_Option_Ooption @ ( E @ ( D @ ( C @ c_Option_Ooption_OSome ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
= A )
| ( ( B @ ( A @ hAPP ) )
!= ( D @ ( C @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upd__triv_0) ).
thf(610,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ tc_Option_Ooption @ ( E @ ( D @ ( C @ c_Option_Ooption_OSome ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
= A )
| ( ( B @ ( A @ hAPP ) )
!= ( D @ ( C @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(182,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_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I206_J_0) ).
thf(857,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_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(190,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCond ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_2) ).
thf(884,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCond ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(282,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_1) ).
thf(1160,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)],[282]) ).
thf(239,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I87_J_0) ).
thf(1028,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(36,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ hAPP ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__triv_0) ).
thf(488,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ hAPP ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(57,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I111_J_0) ).
thf(537,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(195,axiom,
! [A: $i] :
( c_Type_Oty_OBoolean
!= ( A @ c_Type_Oty_OClass ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I14_J_0) ).
thf(901,plain,
! [A: $i] :
( c_Type_Oty_OBoolean
!= ( A @ c_Type_Oty_OClass ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(104,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I38_J_0) ).
thf(642,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(378,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( F @ ( C @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A
= ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_4) ).
thf(1414,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( F @ ( C @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) @ ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A
= ( F @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(128,axiom,
! [A: $i] :
( c_Type_Oty_OVoid
!= ( A @ c_Type_Oty_OClass ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I8_J_0) ).
thf(706,plain,
! [A: $i] :
( c_Type_Oty_OVoid
!= ( A @ c_Type_Oty_OClass ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(322,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) @ ( C @ ( B @ c_WellType_OWT ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I3_J_0) ).
thf(1292,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) @ ( C @ ( B @ c_WellType_OWT ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(207,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_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I212_J_0) ).
thf(933,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_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(66,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I209_J_0) ).
thf(554,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(142,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I98_J_0) ).
thf(753,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(118,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = B )
| ( ( F @ ( A @ hAPP ) )
= ( D @ ( G @ c_Option_Ooption_OSome ) ) )
| ( ( F @ ( D @ tc_Option_Ooption @ ( E @ ( D @ ( C @ c_Option_Ooption_OSome ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
!= ( D @ ( G @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upd__Some__unfold_0) ).
thf(679,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = B )
| ( ( F @ ( A @ hAPP ) )
= ( D @ ( G @ c_Option_Ooption_OSome ) ) )
| ( ( F @ ( D @ tc_Option_Ooption @ ( E @ ( D @ ( C @ c_Option_Ooption_OSome ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
!= ( D @ ( G @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(242,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( C @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( D @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_0) ).
thf(1039,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( C @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( D @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(47,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I39_J_0) ).
thf(515,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(249,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBinOp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_2) ).
thf(1060,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBinOp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(133,axiom,
! [B: $i,A: $i] :
( ( B @ ( A @ c_COMBI ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
thf(721,plain,
! [B: $i,A: $i] :
( ( B @ ( A @ c_COMBI ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(152,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I154_J_0) ).
thf(779,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)],[152]) ).
thf(93,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_OFAcc ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAccThrow_0) ).
thf(622,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_OFAcc ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(174,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_OBoolean @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I20_J_0) ).
thf(837,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_OBoolean @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(333,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I144_J_0) ).
thf(1324,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(4,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I105_J_0) ).
thf(393,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(86,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( E @ ( D @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ c_Fun_Ofun__upd ) ) ) ) )
= ( E @ ( D @ ( C @ ( B @ ( E @ ( D @ ( G @ ( F @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ c_Fun_Ofun__upd ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__twist_0) ).
thf(605,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( E @ ( D @ ( G @ ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ c_Fun_Ofun__upd ) ) ) ) )
= ( E @ ( D @ ( C @ ( B @ ( E @ ( D @ ( G @ ( F @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ c_Fun_Ofun__upd ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(366,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( F @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( B @ ( D @ ( F @ ( E @ ( A @ ( C @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_2) ).
thf(1393,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( F @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( B @ ( D @ ( F @ ( E @ ( A @ ( C @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__2 ) ) ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(336,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I146_J_0) ).
thf(1333,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(258,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( C @ c_Expr_Oexp_Othrow ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I14_J_0) ).
thf(1086,plain,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( C @ c_Expr_Oexp_Othrow ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(44,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I65_J_0) ).
thf(508,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(59,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I215_J_0) ).
thf(541,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(247,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I114_J_0) ).
thf(1054,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(285,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( G @ ( F @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( D @ c_Type_Oty_OClass @ c_Option_Ooption_OSome ) @ ( E @ ( B @ c_Fun_Ofun__upd ) ) ) ) @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( 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 ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTTry_0) ).
thf(1170,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( G @ ( F @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( D @ c_Type_Oty_OClass @ c_Option_Ooption_OSome ) @ ( E @ ( B @ c_Fun_Ofun__upd ) ) ) ) @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( 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 ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(320,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_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I107_J_0) ).
thf(1286,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_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(252,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I24_J_0) ).
thf(1071,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(238,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/sandbox2/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).
thf(1026,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)],[238]) ).
thf(54,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I221_J_0) ).
thf(530,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(213,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_OTryCatch ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I169_J_0) ).
thf(953,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_OTryCatch ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(132,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( C @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I18_J_0) ).
thf(718,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( C @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(291,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I52_J_0) ).
thf(1187,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)],[291]) ).
thf(116,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( c_Value_Oval_ONull @ c_Expr_Oexp_OVal ) @ ( D @ ( C @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( c_Value_Oval_ONull @ c_Expr_Oexp_OVal ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OCast ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CastNull_0) ).
thf(674,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( c_Value_Oval_ONull @ c_Expr_Oexp_OVal ) @ ( D @ ( C @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( c_Value_Oval_ONull @ c_Expr_Oexp_OVal ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OCast ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(149,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( F @ c_Type_Ois__refT )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I21_J_0) ).
thf(773,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( F @ c_Type_Ois__refT )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(157,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( H @ ( G @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( E @ c_Type_Oty_OClass @ c_Option_Ooption_OSome ) @ ( F @ ( C @ c_Fun_Ofun__upd ) ) ) ) @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( H @ ( I @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I22_J_0) ).
thf(794,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( D @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( H @ ( G @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( E @ c_Type_Oty_OClass @ c_Option_Ooption_OSome ) @ ( F @ ( C @ c_Fun_Ofun__upd ) ) ) ) @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( H @ ( I @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(79,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I110_J_0) ).
thf(586,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(141,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I47_J_0) ).
thf(750,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(275,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_OBoolean @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( E @ ( D @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ c_Expr_Oexp_OWhile ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTWhile_0) ).
thf(1146,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_OBoolean @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( E @ ( D @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ c_Expr_Oexp_OWhile ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(263,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Option_Ooption_OSome ) )
!= ( B @ ( C @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_option_Oinject_0) ).
thf(1103,plain,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Option_Ooption_OSome ) )
!= ( B @ ( C @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(316,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/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAssNT_0) ).
thf(1273,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)],[316]) ).
thf(140,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_0) ).
thf(745,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)],[140]) ).
thf(325,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_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I42_J_0) ).
thf(1301,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_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(122,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/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I10_J_1) ).
thf(689,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)],[122]) ).
thf(20,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I199_J_0) ).
thf(444,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(357,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( A @ ( E @ ( D @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( C @ ( G @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( B @ c_Expr_Oexp_OLAss ) ) @ ( A @ ( E @ ( D @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( ( B @ ( A @ hAPP ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtLAss_0) ).
thf(1374,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( A @ ( E @ ( D @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( C @ ( G @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( B @ c_Expr_Oexp_OLAss ) ) @ ( A @ ( E @ ( D @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( ( B @ ( A @ hAPP ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(136,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( C @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I90_J_0) ).
thf(733,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( C @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(279,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/sandbox2/benchmark/theBenchmark.p',cls_WT__implies__WTrt_0) ).
thf(1154,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)],[279]) ).
thf(124,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( F @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I43_J_0) ).
thf(694,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( F @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(364,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( F @ ( D @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( F @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( c_Type_Oty_OBoolean @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( c_Expr_Obop_OEq @ ( C @ c_Expr_Oexp_OBinOp ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTBinOpEq_0) ).
thf(1389,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( F @ ( D @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( F @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( c_Type_Oty_OBoolean @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( c_Expr_Obop_OEq @ ( C @ c_Expr_Oexp_OBinOp ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(10,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I201_J_0) ).
thf(413,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(69,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_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I164_J_0) ).
thf(562,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_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(196,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I25_J_0) ).
thf(904,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(177,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I37_J_0) ).
thf(843,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(269,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I152_J_0) ).
thf(1125,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(187,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_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I137_J_0) ).
thf(875,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_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(170,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I106_J_0) ).
thf(826,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(208,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I163_J_0) ).
thf(936,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(73,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/sandbox2/benchmark/theBenchmark.p',cls_map__le__antisym_0) ).
thf(572,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)],[73]) ).
thf(355,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/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAcc_0) ).
thf(1371,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)],[355]) ).
thf(40,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OWhile ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WhileCondThrow_0) ).
thf(498,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OWhile ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(306,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBinOp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_1) ).
thf(1239,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBinOp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(311,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_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I176_J_0) ).
thf(1258,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_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(302,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I97_J_0) ).
thf(1224,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(347,axiom,
tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_D____ @ ( v_TF____ @ ( v_F____ @ ( v_C____ @ ( v_P @ c_TypeRel_Ohas__field ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_has_0) ).
thf(1356,plain,
tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_D____ @ ( v_TF____ @ ( v_F____ @ ( v_C____ @ ( v_P @ c_TypeRel_Ohas__field ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(58,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAssThrow1_0) ).
thf(540,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(115,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OThrowThrow_0) ).
thf(672,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(103,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_Othrow ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OThrowThrow_0) ).
thf(641,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_Othrow ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(384,axiom,
! [A: $i] :
( ~ ( A @ ( v_e_092_060_094isub_0622_H____ @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( v_T_092_060_094isub_0622____ @ ( A @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_P @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
thf(1428,plain,
! [A: $i] :
( ~ ( A @ ( v_e_092_060_094isub_0622_H____ @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( v_T_092_060_094isub_0622____ @ ( A @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_P @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| v_thesis____ ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(297,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I109_J_0) ).
thf(1209,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(172,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( E @ ( A @ ( D @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtVal_0) ).
thf(831,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( E @ ( A @ ( D @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(12,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( E @ c_Option_Ooption_OSome ) @ ( D @ ( C @ c_Fun_Ofun__upd ) ) ) ) @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OBlock ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtBlock_0) ).
thf(419,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( E @ c_Option_Ooption_OSome ) @ ( D @ ( C @ c_Fun_Ofun__upd ) ) ) ) @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OBlock ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(137,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_OTryCatch ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_1) ).
thf(736,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_OTryCatch ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(344,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I10_J_1) ).
thf(1349,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)],[344]) ).
thf(71,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( F @ ( A @ hAPP ) )
= ( D @ ( G @ c_Option_Ooption_OSome ) ) )
| ( ( F @ ( D @ tc_Option_Ooption @ ( E @ ( D @ ( C @ c_Option_Ooption_OSome ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
!= ( D @ ( G @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upd__Some__unfold_2) ).
thf(567,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( F @ ( A @ hAPP ) )
= ( D @ ( G @ c_Option_Ooption_OSome ) ) )
| ( ( F @ ( D @ tc_Option_Ooption @ ( E @ ( D @ ( C @ c_Option_Ooption_OSome ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
!= ( D @ ( G @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(274,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_Type_Oty_OClass @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Othrow ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTThrow_0) ).
thf(1144,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ c_Type_Oty_OClass @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Othrow ) @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(327,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I61_J_0) ).
thf(1307,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)],[327]) ).
thf(287,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I167_J_0) ).
thf(1175,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(146,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( B @ c_WellType_OWT ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I4_J_0) ).
thf(764,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( B @ c_WellType_OWT ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(223,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( E @ ( A @ ( D @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_typeof__conf_0) ).
thf(979,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( E @ ( A @ ( D @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(226,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I70_J_0) ).
thf(990,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(228,axiom,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_OBoolean ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I15_J_0) ).
thf(996,plain,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_OBoolean ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(90,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedTry_0) ).
thf(616,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(268,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I211_J_0) ).
thf(1122,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(98,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( A @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( C @ c_BigStep_Oeval ) ) ) ) )
| ( A
= ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__cases_I1_J_0) ).
thf(631,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( A @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( C @ c_BigStep_Oeval ) ) ) ) )
| ( A
= ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(56,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__apply_0) ).
thf(535,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(82,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( G @ c_Expr_Oexp_OFAss ) ) ) ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( B @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAssRed1_0) ).
thf(594,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( G @ c_Expr_Oexp_OFAss ) ) ) ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( B @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(193,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I66_J_0) ).
thf(895,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OCast ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(200,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_OTryCatch ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I219_J_0) ).
thf(915,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_OTryCatch ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(341,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( D @ ( C @ ( B @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ~ ( E @ ( F @ ( C @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__widen_0) ).
thf(1344,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( D @ ( C @ ( B @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ~ ( E @ ( F @ ( C @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( E @ ( D @ ( C @ ( B @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(360,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 ) ) ) ) )
| ~ ( I @ ( H @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( 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/sandbox2/benchmark/theBenchmark.p',cls_WTrtFAss_0) ).
thf(1381,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 ) ) ) ) )
| ~ ( I @ ( H @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( 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)],[360]) ).
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_OBlock ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I204_J_0) ).
thf(462,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(165,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I10_J_0) ).
thf(811,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)],[165]) ).
thf(2,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_OVal ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_OVal ) @ ( C @ ( B @ c_Expr_Oexp_OBlock ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_ORedBlock_0) ).
thf(387,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_OVal ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_OVal ) @ ( C @ ( B @ c_Expr_Oexp_OBlock ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(179,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I36_J_0) ).
thf(848,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(126,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I136_J_0) ).
thf(700,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(49,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( E @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( F @ c_Expr_Oexp_OBinOp ) ) ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OBinOpRed1_0) ).
thf(520,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( E @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( F @ c_Expr_Oexp_OBinOp ) ) ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(277,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( I @ c_Expr_Oexp_OVal ) @ ( E @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( H @ ( D @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OBinOpThrow2_0) ).
thf(1149,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( I @ c_Expr_Oexp_OVal ) @ ( E @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( H @ ( D @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(217,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_OBoolean @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtWhile_0) ).
thf(964,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( c_Type_Oty_OBoolean @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( F @ ( E @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_OVoid @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(199,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I147_J_0) ).
thf(912,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(368,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( D @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( B @ ( F @ ( D @ ( E @ ( A @ ( C @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_1) ).
thf(1396,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( D @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( B @ ( F @ ( D @ ( E @ ( A @ ( C @ c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__2__1 ) ) ) ) ) @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(6,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBlock ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_2) ).
thf(399,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C = G )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OBlock ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(215,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( D @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I75_J_0) ).
thf(959,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( D @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(234,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_OTryCatch ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I115_J_0) ).
thf(1015,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_OTryCatch ) ) ) ) )
!= ( E @ ( H @ ( G @ ( F @ c_Expr_Oexp_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(87,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( F @ ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ c_Fun_Ofun__upd ) ) ) ) )
= ( E @ ( D @ ( F @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__upd_0) ).
thf(608,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( F @ ( B @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ c_Fun_Ofun__upd ) ) ) ) )
= ( E @ ( D @ ( F @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(265,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I161_J_0) ).
thf(1113,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)],[265]) ).
thf(309,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCond ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_1) ).
thf(1250,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = F )
| ( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCond ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(180,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I100_J_0) ).
thf(851,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(108,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I165_J_0) ).
thf(653,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(110,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I13_J_0) ).
thf(658,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = D )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(100,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OCond ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OCondThrow_0) ).
thf(636,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( B @ c_Expr_Oexp_OCond ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(244,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I21_J_0) ).
thf(1044,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(43,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I220_J_0) ).
thf(505,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(18,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_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I158_J_0) ).
thf(438,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_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(241,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_OTryCatch ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_3) ).
thf(1034,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_OTryCatch ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(37,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( E @ ( D @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OBinOp ) ) ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OBinOpRed2_0) ).
thf(490,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( F @ ( E @ ( D @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OBinOp ) ) ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(326,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I26_J_0) ).
thf(1304,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)],[326]) ).
thf(14,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I198_J_0) ).
thf(426,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(111,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( F @ ( A @ c_Map_Omap__le ) ) ) )
| ( E @ ( D @ ( E @ tc_Option_Ooption @ ( D @ ( C @ ( B @ ( F @ c_Fun_Ofun__upd ) ) ) ) @ ( E @ tc_Option_Ooption @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ c_Map_Omap__le ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__upd_0) ).
thf(663,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( F @ ( A @ c_Map_Omap__le ) ) ) )
| ( E @ ( D @ ( E @ tc_Option_Ooption @ ( D @ ( C @ ( B @ ( F @ c_Fun_Ofun__upd ) ) ) ) @ ( E @ tc_Option_Ooption @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ c_Map_Omap__le ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(380,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( E @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( F @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( E @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( D @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCond_1) ).
thf(1420,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( E @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( F @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( E @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( D @ ( C @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(205,axiom,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_OVoid ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I9_J_0) ).
thf(927,plain,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_OVoid ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(106,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( E @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OFAss ) ) ) ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAssRed2_0) ).
thf(648,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( H @ ( G @ ( F @ ( E @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OFAss ) ) ) ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(256,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_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I168_J_0) ).
thf(1081,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_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(91,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_OVal ) @ ( C @ c_BigStep_Oeval ) ) ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__cases_I1_J_1) ).
thf(617,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( E @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_OVal ) @ ( C @ c_BigStep_Oeval ) ) ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(235,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I218_J_0) ).
thf(1018,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(65,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OBinOpThrow1_0) ).
thf(553,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(295,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I3_J_0) ).
thf(1203,plain,
c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(80,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/sandbox2/benchmark/theBenchmark.p',cls_map__le__trans_0) ).
thf(589,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)],[80]) ).
thf(209,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_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I79_J_0) ).
thf(939,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_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(339,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ c_in ) ) )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
thf(1340,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( C @ ( A @ ( B @ c_in ) ) )
| ( B @ ( A @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(289,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_1) ).
thf(1181,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)],[289]) ).
thf(169,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I2_J_0) ).
thf(823,plain,
c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(51,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ c_Expr_Oexp_OWhile ) ) @ ( D @ ( C @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I3_J_0) ).
thf(525,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ c_Expr_Oexp_OWhile ) ) @ ( D @ ( C @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(77,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I88_J_0) ).
thf(580,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(102,axiom,
! [C: $i,B: $i,A: $i] : ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( A @ c_BigStep_Oeval ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Val_0) ).
thf(640,plain,
! [C: $i,B: $i,A: $i] : ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( A @ c_BigStep_Oeval ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(186,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I150_J_0) ).
thf(872,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(280,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/sandbox2/benchmark/theBenchmark.p',cls_WTNew_0) ).
thf(1156,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)],[280]) ).
thf(220,axiom,
c_Type_Oty_OVoid != c_Type_Oty_ONT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I6_J_0) ).
thf(971,plain,
c_Type_Oty_OVoid != c_Type_Oty_ONT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(314,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I53_J_0) ).
thf(1267,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)],[314]) ).
thf(227,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I177_J_0) ).
thf(993,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(130,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I183_J_0) ).
thf(712,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(67,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 @ c_Expr_Oexp_Othrow ) @ ( F @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ c_Expr_Oexp_Othrow ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( B @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OFAssThrow1_0) ).
thf(557,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 @ c_Expr_Oexp_Othrow ) @ ( F @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ c_Expr_Oexp_Othrow ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( B @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(156,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I55_J_0) ).
thf(791,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)],[156]) ).
thf(19,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I32_J_0) ).
thf(441,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(42,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I214_J_0) ).
thf(502,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OCond ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(75,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ c_Expr_Oexp_OVal ) @ ( D @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ~ ( F @ ( E @ ( G @ ( C @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( F @ ( E @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OSeq ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Seq_0) ).
thf(576,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ c_Expr_Oexp_OVal ) @ ( D @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ~ ( F @ ( E @ ( G @ ( C @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( F @ ( E @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OSeq ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(163,axiom,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( tc_String_Ochar @ tc_List_Olist @ ( J @ c_Expr_Oexp_OVal ) @ ( F @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ~ ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ c_Expr_Oexp_Othrow ) @ ( I @ ( E @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ c_Expr_Oexp_Othrow ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( B @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_eval__evals_OFAssThrow2_0) ).
thf(808,plain,
! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( tc_String_Ochar @ tc_List_Olist @ ( J @ c_Expr_Oexp_OVal ) @ ( F @ ( B @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ~ ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ c_Expr_Oexp_Othrow ) @ ( I @ ( E @ ( A @ c_BigStep_Oeval ) ) ) ) )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ c_Expr_Oexp_Othrow ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( C @ ( B @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_BigStep_Oeval ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(300,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( F @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I225_J_0) ).
thf(1218,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( F @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(337,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( H @ ( G @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( E @ c_Type_Oty_OClass @ c_Option_Ooption_OSome ) @ ( F @ ( C @ c_Fun_Ofun__upd ) ) ) ) @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( H @ ( I @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtTry_0) ).
thf(1336,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( I @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( H @ ( G @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( E @ c_Type_Oty_OClass @ c_Option_Ooption_OSome ) @ ( F @ ( C @ c_Fun_Ofun__upd ) ) ) ) @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( H @ ( I @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(60,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( B @ c_Expr_Oexp_OCast ) ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OCast ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCastRed_0) ).
thf(544,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( E @ ( D @ ( C @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( B @ c_Expr_Oexp_OCast ) ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( B @ c_Expr_Oexp_OCast ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(197,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ c_Expr_Oexp_OWhile ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( c_Type_Oty_OBoolean @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I3_J_1) ).
thf(907,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ c_Expr_Oexp_OWhile ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( c_Type_Oty_OBoolean @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(139,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OFAssThrow2_0) ).
thf(744,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] : ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ c_Expr_Oexp_Othrow ) @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OFAss ) ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(127,axiom,
c_Type_Oty_ONT != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I13_J_0) ).
thf(703,plain,
c_Type_Oty_ONT != c_Type_Oty_OBoolean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(273,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OSeq ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I213_J_0) ).
thf(1141,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OSeq ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(109,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( C @ ( D @ ( G @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( F @ ( E @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( D @ c_Type_Oty_OClass @ c_Option_Ooption_OSome ) @ ( C @ ( B @ c_Fun_Ofun__upd ) ) ) ) @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_1) ).
thf(656,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( F @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( C @ ( D @ ( G @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( F @ ( E @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( D @ c_Type_Oty_OClass @ c_Option_Ooption_OSome ) @ ( C @ ( B @ c_Fun_Ofun__upd ) ) ) ) @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(89,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I148_J_0) ).
thf(613,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(301,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ c_Expr_Oexp_OLAss ) ) @ ( D @ ( C @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_0) ).
thf(1221,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ c_Expr_Oexp_OLAss ) ) @ ( D @ ( C @ ( B @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(246,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCond ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_OBoolean @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_0) ).
thf(1052,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( D @ c_Expr_Oexp_OCond ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( c_Type_Oty_OBoolean @ ( D @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(260,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I138_J_0) ).
thf(1094,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(373,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/sandbox2/benchmark/theBenchmark.p',cls_WTrtNew_0) ).
thf(1404,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)],[373]) ).
thf(349,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( G @ ( H @ c_Expr_Oexp_OCond ) ) ) @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( H @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( G @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( C @ ( F @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCond_2) ).
thf(1358,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( G @ ( H @ c_Expr_Oexp_OCond ) ) ) @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( H @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( G @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( C @ ( F @ ( E @ ( D @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ~ ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(346,axiom,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( C @ c_fequal @ hAPP ) @ hAPP ) @ hBOOL )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
thf(1353,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( B @ ( A @ ( C @ c_fequal @ hAPP ) @ hAPP ) @ hBOOL )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(85,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I13_J_1) ).
thf(600,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OWhile ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(27,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I203_J_0) ).
thf(465,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(96,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OWhile ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I223_J_0) ).
thf(627,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( E @ ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OTryCatch ) ) ) ) )
!= ( E @ ( G @ ( F @ c_Expr_Oexp_OWhile ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(34,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( E @ tc_Option_Ooption @ ( F @ ( E @ ( A @ c_Option_Ooption_OSome ) @ ( D @ ( C @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
!= ( E @ ( B @ c_Option_Ooption_OSome ) ) )
| ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__upd__Some__unfold_1) ).
thf(482,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( D @ ( E @ tc_Option_Ooption @ ( F @ ( E @ ( A @ c_Option_Ooption_OSome ) @ ( D @ ( C @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
!= ( E @ ( B @ c_Option_Ooption_OSome ) ) )
| ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(332,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I181_J_0) ).
thf(1321,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(144,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 ) ) ) ) )
| ( c_Type_Oty_OBoolean @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( c_Expr_Obop_OEq @ ( D @ c_Expr_Oexp_OBinOp ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtBinOpEq_0) ).
thf(759,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 ) ) ) ) )
| ( c_Type_Oty_OBoolean @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( c_Expr_Obop_OEq @ ( D @ c_Expr_Oexp_OBinOp ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(321,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I76_J_0) ).
thf(1289,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(264,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = C )
| ( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( C @ c_Expr_Oexp_Onew ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I1_J_0) ).
thf(1108,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)],[264]) ).
thf(22,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Onew ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I33_J_0) ).
thf(450,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_Onew ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(257,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/sandbox2/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).
thf(1084,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)],[257]) ).
thf(39,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ~ ( I @ ( H @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( G @ c_Option_Ooption_OSome ) @ ( F @ ( E @ c_Fun_Ofun__upd ) ) ) ) @ ( A @ ( D @ c_Progress_OWTrt_H ) ) ) ) )
| ( I @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( F @ c_Expr_Oexp_OLAss ) ) @ c_Expr_Oexp_OSeq ) ) @ ( G @ ( F @ c_Expr_Oexp_OBlock ) ) ) @ ( E @ ( A @ ( D @ c_Progress_OWTrt_H ) ) ) ) )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I16_J_0) ).
thf(495,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( D @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ~ ( I @ ( H @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( G @ c_Option_Ooption_OSome ) @ ( F @ ( E @ c_Fun_Ofun__upd ) ) ) ) @ ( A @ ( D @ c_Progress_OWTrt_H ) ) ) ) )
| ( I @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( H @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ ( F @ c_Expr_Oexp_OLAss ) ) @ c_Expr_Oexp_OSeq ) ) @ ( G @ ( F @ c_Expr_Oexp_OBlock ) ) ) @ ( E @ ( A @ ( D @ c_Progress_OWTrt_H ) ) ) ) )
| ( ( B @ ( A @ c_Objects_Otypeof__h ) )
!= ( tc_Type_Oty @ ( C @ c_Option_Ooption_OSome ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(377,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( G @ ( H @ c_Expr_Oexp_OCond ) ) ) @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( H @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( G @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( C @ ( F @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_0) ).
thf(1412,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( G @ ( H @ c_Expr_Oexp_OCond ) ) ) @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( H @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( B @ ( G @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( C @ ( F @ ( E @ ( D @ ( A @ c_Progress_OWTrt_H ) ) ) ) )
| ~ ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(362,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( G @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( F @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( C @ ( E @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCond_2) ).
thf(1385,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( G @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( F @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( C @ ( E @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(307,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I145_J_0) ).
thf(1244,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(113,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I179_J_0) ).
thf(667,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OWhile ) ) )
!= ( C @ ( G @ ( F @ ( E @ ( D @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(298,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OCast ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I45_J_0) ).
thf(1212,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( D @ ( C @ c_Expr_Oexp_OCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(120,axiom,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( C @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I40_J_0) ).
thf(684,plain,
! [C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( C @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(62,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Othrow ) @ ( B @ c_Expr_Oexp_OCast ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCastThrow_0) ).
thf(549,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Othrow ) @ ( B @ c_Expr_Oexp_OCast ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(160,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I210_J_0) ).
thf(800,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( D @ c_Expr_Oexp_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(254,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( c_Type_Oty_ONT @ ( C @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( D @ ( c_Value_Oval_ONull @ ( C @ ( B @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__Null_1) ).
thf(1077,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( c_Type_Oty_ONT @ ( C @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( D @ ( c_Value_Oval_ONull @ ( C @ ( B @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(32,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( C @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OThrowRed_0) ).
thf(478,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( D @ ( C @ ( B @ ( A @ c_SmallStep_Oredp ) ) ) ) )
| ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(266,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_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I99_J_0) ).
thf(1116,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_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(271,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/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I8_J_0) ).
thf(1133,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)],[271]) ).
thf(343,axiom,
v_h_Ha____ @ ( v_e_092_060_094isub_0622_H____ @ ( v_T_092_060_094isub_0622____ @ ( v_P @ ( v_E____ @ v_sko__CHAINED__1 ) ) ) ) @ ( v_e_092_060_094isub_0622_H____ @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
thf(1348,plain,
v_h_Ha____ @ ( v_e_092_060_094isub_0622_H____ @ ( v_T_092_060_094isub_0622____ @ ( v_P @ ( v_E____ @ v_sko__CHAINED__1 ) ) ) ) @ ( v_e_092_060_094isub_0622_H____ @ ( v_E____ @ ( v_h_Ha____ @ ( v_P @ c_WellTypeRT_OWTrt ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(21,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I83_J_0) ).
thf(447,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(318,axiom,
! [I: $i,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 @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I182_J_0) ).
thf(1280,plain,
! [I: $i,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 @ ( I @ ( H @ ( G @ ( F @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(16,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_OBlock ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I172_J_0) ).
thf(432,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_OBlock ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(9,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I173_J_0) ).
thf(410,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( H @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAss ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(367,axiom,
v_T_092_060_094isub_0622____ @ ( v_h_Ha____ @ ( v_e_092_060_094isub_0622_H____ @ ( v_T_092_060_094isub_0622____ @ ( v_P @ ( v_E____ @ v_sko__CHAINED__1 ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_P @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
thf(1395,plain,
v_T_092_060_094isub_0622____ @ ( v_h_Ha____ @ ( v_e_092_060_094isub_0622_H____ @ ( v_T_092_060_094isub_0622____ @ ( v_P @ ( v_E____ @ v_sko__CHAINED__1 ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( v_P @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(181,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_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I62_J_0) ).
thf(854,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_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(276,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OBinOpThrow2_0) ).
thf(1148,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ c_Expr_Oexp_Othrow ) @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_OVal ) @ c_Expr_Oexp_OBinOp ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(155,axiom,
c_Type_Oty_ONT @ c_Type_Ois__refT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_is__refT__def_1) ).
thf(790,plain,
c_Type_Oty_ONT @ c_Type_Ois__refT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(185,axiom,
! [B: $i,A: $i] :
( ( A = B )
| ( ( A @ c_Type_Oty_OClass )
!= ( B @ c_Type_Oty_OClass ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Oinject_0) ).
thf(867,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)],[185]) ).
thf(229,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/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_4) ).
thf(999,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)],[229]) ).
thf(92,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( D @ ( E @ ( H @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( G @ ( F @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( E @ c_Type_Oty_OClass @ c_Option_Ooption_OSome ) @ ( D @ ( C @ c_Fun_Ofun__upd ) ) ) ) @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_1) ).
thf(620,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( D @ ( E @ ( H @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( C @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) )
| ( G @ ( F @ ( tc_Type_Oty @ tc_Option_Ooption @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_Type_Oty @ ( E @ c_Type_Oty_OClass @ c_Option_Ooption_OSome ) @ ( D @ ( C @ c_Fun_Ofun__upd ) ) ) ) @ ( B @ ( A @ c_WellTypeRT_OWTrt ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(212,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I34_J_0) ).
thf(950,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)],[212]) ).
thf(261,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I20_J_0) ).
thf(1097,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Onew ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(201,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( c_Value_Oval_ONull @ ( B @ ( D @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( c_Type_Oty_ONT @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__Null_0) ).
thf(918,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( C @ ( c_Value_Oval_ONull @ ( B @ ( D @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( c_Type_Oty_ONT @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(330,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_1) ).
thf(1314,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)],[330]) ).
thf(250,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I29_J_0) ).
thf(1065,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)],[250]) ).
thf(283,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I224_J_0) ).
thf(1165,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(342,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( G @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( F @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( C @ ( E @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCond_0) ).
thf(1346,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( F @ ( G @ c_Expr_Oexp_OCond ) ) ) @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( c_Type_Oty_OBoolean @ ( G @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( B @ ( F @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( C @ ( E @ ( D @ ( A @ c_WellType_OWT ) ) ) )
| ~ ( C @ ( B @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(158,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( E @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( C @ ( E @ ( D @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_2) ).
thf(796,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ ( E @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( A @ c_WellType_OWT ) ) ) )
| ( C @ ( E @ ( D @ ( A @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) @ ( C @ ( B @ ( A @ c_WellType_OWT ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(286,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I60_J_0) ).
thf(1172,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)],[286]) ).
thf(147,axiom,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_ONT ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I21_J_0) ).
thf(767,plain,
! [A: $i] :
( ( A @ c_Type_Oty_OClass )
!= c_Type_Oty_ONT ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(175,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( B @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( 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/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_2) ).
thf(839,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( G @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ ( B @ ( D @ c_Expr_Oexp_OTryCatch ) ) ) ) @ ( 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)],[175]) ).
thf(135,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_1) ).
thf(728,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B = E )
| ( ( C @ ( B @ ( A @ c_Expr_Oexp_OLAss ) ) )
!= ( C @ ( E @ ( D @ c_Expr_Oexp_OLAss ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(225,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( D @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I85_J_0) ).
thf(987,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( C @ ( B @ ( A @ c_Expr_Oexp_OSeq ) ) )
!= ( C @ ( D @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(312,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OCond ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I217_J_0) ).
thf(1261,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OCond ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(74,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_OCond ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCondThrow_0) ).
thf(575,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] : ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ ( E @ ( tc_String_Ochar @ tc_List_Olist @ ( D @ ( C @ ( tc_String_Ochar @ tc_List_Olist @ ( B @ c_Expr_Oexp_Othrow ) @ c_Expr_Oexp_OCond ) ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(183,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 ) ) ) ) )
| ( c_Type_Oty_OBoolean @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( c_Expr_Obop_OEq @ ( D @ c_Expr_Oexp_OBinOp ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I5_J_0) ).
thf(860,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 ) ) ) ) )
| ( c_Type_Oty_OBoolean @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( c_Expr_Obop_OEq @ ( D @ c_Expr_Oexp_OBinOp ) ) ) @ ( C @ ( B @ ( A @ c_Progress_OWTrt_H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(83,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ hAPP ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__idem_0) ).
thf(596,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ hAPP ) @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(52,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Othrow ) @ ( B @ c_Expr_Oexp_OLAss ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OLAssThrow_0) ).
thf(528,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Othrow ) @ ( D @ ( tc_String_Ochar @ tc_List_Olist @ ( tc_String_Ochar @ tc_List_Olist @ ( C @ c_Expr_Oexp_Othrow ) @ ( B @ c_Expr_Oexp_OLAss ) ) @ ( A @ c_SmallStep_Oredp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(134,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_1) ).
thf(723,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)],[134]) ).
thf(123,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ c_Expr_Oexp_OLAss ) ) @ ( D @ ( C @ ( B @ c_Progress_OWTrt_H ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__elim__cases_0) ).
thf(691,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( F @ ( E @ c_Expr_Oexp_OLAss ) ) @ ( D @ ( C @ ( B @ c_Progress_OWTrt_H ) ) ) ) )
| ( A = c_Type_Oty_OVoid ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(370,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ~ ( D @ ( E @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( D @ ( C @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__trans_0) ).
thf(1399,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( E @ ( C @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ~ ( D @ ( E @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( D @ ( C @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(348,axiom,
! [C: $i,B: $i,A: $i] : ( C @ c_Type_Oty_OClass @ ( c_Type_Oty_ONT @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__Class_2) ).
thf(1357,plain,
! [C: $i,B: $i,A: $i] : ( C @ c_Type_Oty_OClass @ ( c_Type_Oty_ONT @ ( B @ ( A @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(25,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I159_J_0) ).
thf(459,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( G @ ( F @ ( E @ c_Expr_Oexp_OFAcc ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(224,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_2) ).
thf(982,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)],[224]) ).
thf(231,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/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_1) ).
thf(1004,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)],[231]) ).
thf(161,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBinOp ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I113_J_0) ).
thf(803,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_Othrow ) )
!= ( B @ ( E @ ( D @ ( C @ c_Expr_Oexp_OBinOp ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(232,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_OVal ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I71_J_0) ).
thf(1009,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBinOp ) ) ) )
!= ( D @ ( E @ c_Expr_Oexp_OVal ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(203,axiom,
! [C: $i,B: $i,A: $i] : ( c_Type_Oty_ONT @ ( c_Value_Oval_ONull @ ( C @ ( B @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__NT_1) ).
thf(923,plain,
! [C: $i,B: $i,A: $i] : ( c_Type_Oty_ONT @ ( c_Value_Oval_ONull @ ( C @ ( B @ ( A @ c_Conform_Oconf ) ) @ hAPP ) @ hAPP ) @ hBOOL ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(290,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I92_J_0) ).
thf(1184,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( B @ ( A @ c_Expr_Oexp_OVal ) )
!= ( B @ ( F @ ( E @ ( D @ ( C @ c_Expr_Oexp_OTryCatch ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(150,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_Othrow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I180_J_0) ).
thf(775,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_Othrow ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(117,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = B )
| ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= ( F @ ( A @ hAPP ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__upd__apply_1) ).
thf(676,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( F = B )
| ( ( F @ ( E @ ( D @ ( C @ ( B @ ( A @ c_Fun_Ofun__upd ) ) ) ) @ hAPP ) )
= ( F @ ( A @ hAPP ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(379,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( C @ c_WellType_OWT ) ) ) )
| ~ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A
= ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_4) ).
thf(1417,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( A @ ( tc_String_Ochar @ tc_List_Olist @ ( E @ ( D @ ( F @ c_Expr_Oexp_OCond ) ) ) @ ( B @ ( C @ c_WellType_OWT ) ) ) )
| ~ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) @ ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__1 ) ) ) ) @ ( tc_String_Ochar @ tc_List_Olist @ tc_Expr_Oexp @ ( tc_String_Ochar @ tc_List_Olist @ tc_List_Olist @ tc_prod ) @ ( C @ c_TypeRel_Owiden ) @ hAPP ) @ hAPP ) @ hBOOL )
| ( A
= ( E @ ( D @ ( A @ ( C @ ( B @ c_WellType_Osko__WellType__XWT__elim__cases__2__2 ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(29,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OLAss ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I143_J_0) ).
thf(469,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( D @ ( C @ ( B @ ( A @ c_Expr_Oexp_OBlock ) ) ) )
!= ( D @ ( F @ ( E @ c_Expr_Oexp_OLAss ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(353,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/sandbox2/benchmark/theBenchmark.p',cls_WTrtSeq_0) ).
thf(1367,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)],[353]) ).
thf(1435,plain,
$false,
inference(e,[status(thm)],[1411,1024,1168,518,1295,645,892,1369,1190,1237,846,909,1031,962,468,1200,977,1158,1406,1068,1401,1422,741,1041,878,511,1426,385,550,500,715,1275,472,1342,945,930,670,1310,533,814,1327,898,1001,1391,782,709,841,565,829,404,1409,570,1298,785,1313,1330,1264,817,559,638,1379,1247,969,770,1362,1100,1232,1319,421,1398,881,416,492,756,591,1373,623,1151,1383,806,966,1283,480,475,924,485,1136,834,687,1377,956,453,1119,396,1351,1215,634,1074,1206,920,529,546,761,810,1338,512,942,1047,798,1057,1387,1091,1255,862,598,820,429,1021,778,407,630,1365,625,435,1178,665,889,1079,456,974,1012,583,522,682,1195,551,1128,1402,1360,578,697,1270,650,1227,1425,388,610,857,884,1160,1028,488,537,901,642,1414,706,1292,933,554,753,679,1039,515,1060,721,779,622,837,1324,393,605,1393,1333,1086,508,541,1054,1170,1286,1071,1026,530,953,718,1187,674,773,794,586,750,1146,1103,1273,745,1301,689,444,1374,733,1154,694,1389,413,562,904,843,1125,875,826,936,572,1371,498,1239,1258,1224,1356,540,672,641,1428,1209,831,419,736,1349,567,1144,1307,1175,764,979,990,996,616,1122,631,535,594,895,915,1344,1381,462,811,387,848,700,520,1149,964,912,1396,399,959,1015,608,1113,1250,851,653,658,636,1044,505,438,1034,490,1304,426,663,1420,927,648,1081,617,1018,553,1203,589,939,1340,1181,823,525,580,640,872,1156,971,1267,993,712,557,791,441,502,576,808,1218,1336,544,907,744,703,1141,656,613,1221,1052,1094,1404,1358,1353,600,465,627,482,1321,759,1289,1108,450,1084,495,1412,1385,1244,667,1212,684,549,800,1077,478,1116,1133,1348,447,1280,432,410,1395,854,1148,790,867,999,620,950,1097,918,1314,1065,1165,1346,796,1172,767,839,728,987,1261,575,860,596,528,723,691,1399,1357,459,982,1004,803,1009,923,1184,775,676,1417,469,1367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV961-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sat Sep 26 15:17:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.90/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.45/1.45 % [INFO] Parsing done (483ms).
% 2.45/1.46 % [INFO] Running in sequential loop mode.
% 3.67/1.86 % [INFO] eprover registered as external prover.
% 3.67/1.86 % [INFO] Scanning for conjecture ...
% 4.32/2.12 % [INFO] Found a conjecture (or negated_conjecture) and 545 axioms. Running axiom selection ...
% 5.55/2.39 % [INFO] Axiom selection finished. Selected 383 axioms (removed 162 axioms).
% 6.43/2.53 % [INFO] Problem is propositional (TPTP CNF).
% 6.43/2.54 % [INFO] Type checking passed.
% 6.43/2.54 % [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 ...
% 12.07/3.79 % External prover 'e' found a proof!
% 12.07/3.79 % [INFO] Killing All external provers ...
% 12.07/3.79 % Time passed: 3262ms (effective reasoning time: 2321ms)
% 12.07/3.79 % Axioms used in derivation (383): cls_WTrt__elim__cases_I8_J_3, cls_WTrt_H__WTrts_H_Ointros_I5_J_0, cls_WTrt__elim__cases_I2_J_2, cls_map__upd__eqD1_0, cls_WTSeq_0, cls_exp_Osimps_I92_J_0, cls_WTTry_0, cls_option_Oinject_0, cls_map__le__upd_0, cls_WTrtThrow_0, cls_conf__def_2, cls_WTrtBlock_0, cls_redp__redsp_OCastThrow_0, cls_exp_Osimps_I218_J_0, cls_exp_Osimps_I213_J_0, cls_redp__redsp_OThrowRed_0, cls_redp__redsp_ORedCastNull_0, cls_exp_Osimps_I138_J_0, cls_exp_Osimps_I137_J_0, cls_eval__evals_OFAssThrow2_0, cls_map__upd__Some__unfold_4, cls_eval__cases_I1_J_1, cls_redp__redsp_OFAssRed1_0, cls_exp_Osimps_I10_J_1, cls_exp_Osimps_I225_J_0, cls_exp_Osimps_I165_J_0, cls_exp_Osimps_I7_J_2, cls_map__le__trans_0, cls_fun__upd__apply_1, cls_redp__redsp_OThrowThrow_0, cls_WT__elim__cases_I10_J_1, cls_map__upd__Some__unfold_3, cls_exp_Osimps_I219_J_0, cls_exp_Osimps_I149_J_0, cls_exp_Osimps_I20_J_0, cls_exp_Osimps_I42_J_0, cls_WTrtCond_0, cls_exp_Osimps_I11_J_0, cls_exp_Osimps_I15_J_1, cls_redp__redsp_OSeqRed_0, cls_WTrt__elim__cases_I10_J_0, cls_exp_Osimps_I204_J_0, cls_WTrt__elim__cases_I2_J_5, cls_has_0, cls_CHAINED_0, cls_eval__evals_OCondThrow_0, cls_WT__elim__cases_I8_J_0, cls_exp_Osimps_I221_J_0, cls_ty_Osimps_I8_J_0, cls_exp_Osimps_I28_J_0, cls_WTrt__elim__cases_I5_J_1, cls_exp_Osimps_I25_J_0, cls_exp_Osimps_I211_J_0, cls_exp_Osimps_I36_J_0, cls_mem__def_1, cls_exp_Osimps_I19_J_0, cls_widen__Class_2, cls_exp_Osimps_I115_J_0, cls_WTCond_2, cls_exp_Osimps_I97_J_0, cls_exp_Osimps_I154_J_0, cls_WTrt_H__elim__cases_0, cls_COMBI__def__raw_0, cls_WTrt__elim__cases_I10_J_1, cls_exp_Osimps_I208_J_0, cls_ty_Osimps_I20_J_0, cls_exp_Osimps_I109_J_0, cls_ty_Osimps_I13_J_0, cls_exp_Osimps_I13_J_0, cls_exp_Osimps_I199_J_0, cls_WTrt__elim__cases_I6_J_0, cls_exp_Osimps_I212_J_0, cls_typeof__conf_0, cls_exp_Osimps_I178_J_0, cls_exp_Osimps_I2_J_1, cls_exp_Osimps_I8_J_3, cls_WT__elim__cases_I2_J_1, cls_redp__redsp_OCondThrow_0, cls_redp__redsp_ORedInitBlock_0, cls_exp_Osimps_I79_J_0, cls_exp_Osimps_I206_J_0, cls_exp_Osimps_I113_J_0, cls_exp_Osimps_I223_J_0, cls_exp_Osimps_I11_J_1, cls_exp_Osimps_I40_J_0, cls_WTrt_H__WTrts_H_Ointros_I19_J_2, cls_WTThrow_0, cls_WT__elim__cases_I2_J_4, cls_WTrt__elim__cases_I6_J_3, cls_exp_Osimps_I136_J_0, cls_exp_Osimps_I175_J_0, cls_exp_Osimps_I4_J_1, cls_WTrtBinOpEq_0, cls_WTrt_H__WTrts_H_Ointros_I9_J_0, cls_WTrt__elim__cases_I5_J_2, cls_eval__evals_OSeqThrow_0, cls_exp_Osimps_I67_J_0, cls_exp_Osimps_I4_J_0, cls_widen__refl_0, cls_exp_Osimps_I17_J_0, cls_WT__elim__cases_I4_J_0, cls_map__upd__Some__unfold_0, cls_exp_Osimps_I160_J_0, cls_fun__upd__other_0, cls_exp_Osimps_I84_J_0, cls_exp_Osimps_I209_J_0, cls_WT__elim__cases_I2_J_3, cls_WTrt_H__WTrts_H_Ointros_I16_J_0, cls_redp__redsp_OFAccThrow_0, cls_exp_Osimps_I142_J_0, cls_exp_Osimps_I24_J_0, cls_exp_Osimps_I110_J_0, cls_WTrt__elim__cases_I2_J_1, cls_exp_Osimps_I205_J_0, cls_WT__elim__cases_I3_J_0, cls_exp_Osimps_I29_J_0, cls_redp__redsp_OFAssThrow1_0, cls_redp__redsp_OFAssRed2_0, cls_exp_Osimps_I21_J_0, cls_redp__redsp_OBinOpThrow1_0, cls_exp_Osimps_I74_J_0, cls_exp_Osimps_I85_J_0, cls_eval__evals_OBinOpThrow2_0, cls_eval__evals_OFAccThrow_0, cls_exp_Osimps_I143_J_0, cls_exp_Osimps_I146_J_0, cls_exp_Osimps_I174_J_0, cls_conf__NT_1, cls_ty_Osimps_I9_J_0, cls_ty_Osimps_I3_J_0, cls_conf__widen_0, cls_WhileCondThrow_0, cls_WTrtFAssNT_0, cls_exp_Osimps_I172_J_0, cls_exp_Osimps_I139_J_0, cls_exp_Osimps_I10_J_2, cls_exp_Osimps_I43_J_0, cls_CHAINED_1, cls_exp_Osimps_I176_J_0, cls_typeof__h_Osimps_I2_J_0, cls_redp__redsp_OTryRed_0, cls_exp_Osimps_I148_J_0, cls_conf__Null_0, cls_exp_Osimps_I46_J_0, cls_WT__elim__cases_I5_J_2, cls_map__le__refl_0, cls_exp_Osimps_I99_J_0, cls_WTrtFAccNT_0, cls_eval__evals_OFAssThrow1_0, cls_wt_092_060_094isub_0621_0, cls_WTrt_H__WTrts_H_Ointros_I11_J_0, cls_WTrtFAss_0, cls_redp__redsp_ORedTry_0, cls_ty_Osimps_I12_J_0, cls_exp_Osimps_I69_J_0, cls_WTrt__env__mono_0, cls_exp_Osimps_I180_J_0, cls_WT__elim__cases_I6_J_0, cls_WTrt__elim__cases_I3_J_0, cls_exp_Osimps_I77_J_0, cls_exp_Osimps_I98_J_0, cls_exp_Osimps_I61_J_0, cls_exp_Osimps_I15_J_0, cls_exp_Osimps_I183_J_0, cls_exp_Osimps_I26_J_0, cls_exp_Osimps_I207_J_0, cls_fun__upd__triv_0, cls_exp_Osimps_I83_J_0, cls_exp_Osimps_I2_J_0, cls_WT__elim__cases_I2_J_2, cls_exp_Osimps_I12_J_2, cls_WTrtTry_0, cls_exp_Osimps_I8_J_2, cls_exp_Osimps_I177_J_0, cls_Seq_0, cls_ATP__Linkup_Ofequal__imp__equal_0, cls_ty_Osimps_I15_J_0, cls_exp_Osimps_I76_J_0, cls_exp_Osimps_I70_J_0, cls_WTrtNew_0, cls_conf__Null_1, cls_exp_Osimps_I27_J_0, cls_exp_Osimps_I89_J_0, cls_exp_Osimps_I210_J_0, cls_exp_Osimps_I159_J_0, cls_exp_Osimps_I62_J_0, cls_exp_Osimps_I105_J_0, cls_WTrt_H__WTrts_H_Ointros_I2_J_0, cls_exp_Osimps_I220_J_0, cls_is__refT__def_1, cls_ty_Osimps_I7_J_0, cls_TsubTF_0, cls_exp_Osimps_I112_J_0, cls_exp_Osimps_I60_J_0, cls_exp_Osimps_I162_J_0, cls_WTWhile_0, cls_exp_Osimps_I158_J_0, cls_redp__redsp_OSeqThrow_0, cls_exp_Osimps_I15_J_3, cls_eval__evals_OThrowThrow_0, cls_exp_Osimps_I201_J_0, cls_exp_Osimps_I166_J_0, cls_map__upd__Some__unfold_1, cls_mem__def_0, cls_exp_Osimps_I55_J_0, cls_exp_Osimps_I47_J_0, cls_exp_Osimps_I7_J_1, cls_redp__redsp_OLAssThrow_0, cls_exp_Osimps_I101_J_0, cls_exp_Osimps_I75_J_0, cls_exp_Osimps_I169_J_0, cls_map__upd__triv_0, cls_WTrt__elim__cases_I2_J_4, cls_WTrtSeq_0, cls_exp_Osimps_I224_J_0, cls_wt_092_060_094isub_0622_0, cls_fun__upd__twist_0, cls_WT__elim__cases_I1_J_0, cls_exp_Osimps_I16_J_0, cls_exp_Osimps_I145_J_0, cls_exp_Osimps_I59_J_0, cls_CastNull_0, cls_WT__elim__cases_I5_J_1, cls_exp_Osimps_I1_J_0, cls_exp_Osimps_I35_J_0, cls_exp_Osimps_I39_J_0, cls_WTrt_H__WTrts_H_Ointros_I19_J_0, cls_exp_Osimps_I182_J_0, cls_fun__upd__apply_0, cls_WT__implies__WTrt_0, cls_wt_0, cls_ty_Oinject_0, cls_WTrt__elim__cases_I2_J_0, cls_redp__redsp_OCondRed_0, cls_exp_Osimps_I68_J_0, cls_map__le__antisym_0, cls_exp_Osimps_I4_J_2, cls_exp_Osimps_I114_J_0, cls_exp_Osimps_I216_J_0, cls_exp_Osimps_I203_J_0, cls_WTBinOpEq_1, cls_exp_Osimps_I41_J_0, cls_wt_092_060_094isub_0621_H_0, cls_WTrt_H__WTrts_H_Ointros_I18_J_0, cls_redp__redsp_OBinOpRed1_0, cls_exp_Osimps_I215_J_0, cls_eval__evals_OCastThrow_0, cls_WTCond_0, cls_Class__widen_0, cls_exp_Osimps_I93_J_0, cls_WTrt_H__WTrts_H_Ointros_I8_J_0, cls_redp__redsp_OBinOpRed2_0, cls_exp_Osimps_I53_J_0, cls_exp_Osimps_I152_J_0, cls_eval__evals_OLAssThrow_0, cls_exp_Osimps_I50_J_0, cls_WTrtFAcc_0, cls_WTrt__elim__cases_I3_J_1, cls_exp_Osimps_I179_J_0, cls_WTrt_H__WTrts_H_Ointros_I3_J_0, cls_exp_Osimps_I54_J_0, cls_exp_Osimps_I86_J_0, cls_exp_Osimps_I144_J_0, cls_exp_Osimps_I150_J_0, cls_exp_Osimps_I37_J_0, cls_exp_Osimps_I8_J_1, cls_exp_Osimps_I58_J_0, cls_WTNew_0, cls_exp_Osimps_I106_J_0, cls_wt_H__wt_0, cls_exp_Osimps_I66_J_0, cls_exp_Osimps_I34_J_0, cls_exp_Osimps_I6_J_0, cls_exp_Osimps_I108_J_0, cls_exp_Osimps_I222_J_0, cls_exp_Osimps_I90_J_0, cls_ty_Osimps_I21_J_0, cls_widen__trans_0, cls_is__refT__def_2, cls_ty_Osimps_I6_J_0, cls_exp_Osimps_I155_J_0, cls_eval__cases_I1_J_0, cls_exp_Osimps_I71_J_0, cls_exp_Osimps_I12_J_1, cls_fun__upd__idem__iff_0, cls_fun__upd__idem_0, cls_redp__redsp_OFAccRed_0, cls_eval__evals_OBinOpThrow1_0, cls_WTrtWhile_0, cls_redp__redsp_OFAssThrow2_0, cls_exp_Osimps_I82_J_0, cls_WT__elim__cases_I5_J_0, cls_exp_Osimps_I14_J_0, cls_WTrtVal_0, cls_exp_Osimps_I107_J_0, cls_exp_Osimps_I167_J_0, cls_WTrt__elim__cases_I2_J_3, cls_exp_Osimps_I161_J_0, cls_WTrt_H__WTrts_H_Ointros_I21_J_0, cls_exp_Osimps_I7_J_0, cls_fun__upd__same_0, cls_exp_Osimps_I151_J_0, cls_exp_Osimps_I217_J_0, cls_ATP__Linkup_Oequal__imp__fequal_0, cls_WTBinOpEq_0, cls_redp__redsp_ORedBlock_0, cls_exp_Osimps_I45_J_0, cls_map__upd__Some__unfold_2, cls_exp_Osimps_I8_J_0, cls_exp_Osimps_I153_J_0, cls_WTrt__elim__cases_I8_J_4, cls_exp_Osimps_I44_J_0, cls_exp_Osimps_I18_J_0, cls_exp_Osimps_I164_J_0, cls_exp_Osimps_I32_J_0, cls_exp_Osimps_I6_J_1, cls_conf__def_1, cls_Try_0, cls_exp_Osimps_I51_J_0, cls_WTrt__elim__cases_I1_J_0, cls_exp_Osimps_I65_J_0, cls_WTrt_H__WTrts_H_Ointros_I1_J_0, cls_exp_Osimps_I52_J_0, cls_WTrt__elim__cases_I8_J_0, cls_Val_0, cls_exp_Osimps_I15_J_2, cls_WT__elim__cases_I10_J_0, cls_exp_Osimps_I10_J_0, cls_wt__env__mono_0, cls_WTrt__elim__cases_I5_J_0, cls_exp_Osimps_I111_J_0, cls_ty_Osimps_I2_J_0, cls_exp_Osimps_I64_J_0, cls_exp_Osimps_I88_J_0, cls_WTrtCond_1, cls_exp_Osimps_I96_J_0, cls_exp_Osimps_I91_J_0, cls_exp_Osimps_I181_J_0, cls_exp_Osimps_I200_J_0, cls_ty_Osimps_I14_J_0, cls_conf__def_0, cls_WT__elim__cases_I2_J_5, cls_wt__wt_H_0, cls_exp_Osimps_I196_J_0, cls_WT__elim__cases_I2_J_0, cls_exp_Osimps_I214_J_0, cls_exp_Osimps_I168_J_0, cls_WTrtCond_2, cls_exp_Osimps_I63_J_0, cls_that_0, cls_WTrt_H__WTrts_H_Ointros_I22_J_0, cls_conf__NT_0, cls_fun__upd__upd_0, cls_redp__redsp_OLAssRed_0, cls_exp_Osimps_I87_J_0, cls_WTrtLAss_0, cls_COMBI__def_0, cls_WTrt_H__WTrts_H_Ointros_I19_J_1, cls_exp_Osimps_I78_J_0, cls_exp_Osimps_I198_J_0, cls_exp_Osimps_I202_J_0, cls_exp_Osimps_I12_J_0, cls_exp_Osimps_I33_J_0, cls_exp_Osimps_I173_J_0, cls_WTrtCast_0, cls_exp_Osimps_I104_J_0, cls_exp_Osimps_I100_J_0, cls_WT__elim__cases_I3_J_1, cls_redp__redsp_OCastRed_0, cls_exp_Osimps_I163_J_0, cls_WTrt__elim__cases_I8_J_1, cls_redp__redsp_OBinOpThrow2_0, cls_exp_Osimps_I38_J_0, cls_exp_Osimps_I147_J_0, cls_WTrt_H__WTrts_H_Ointros_I10_J_0, cls_exp_Osimps_I3_J_0, cls_redp__redsp_ORedSeq_0, cls_WTrt_H__WTrts_H_Ointros_I20_J_0, cls_exp_Osimps_I197_J_0, cls_WT__elim__cases_I6_J_2, cls_WTCond_1, cls_exp_Osimps_I13_J_1, cls_fun__upd__idem__iff_1
% 12.07/3.79 % No. of inferences in proof: 769
% 12.07/3.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3262 ms resp. 2321 ms w/o parsing
% 13.19/3.98 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.19/3.98 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------