TSTP Solution File: SWV948-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV948-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 12:19:31 EDT 2023
% Result : Unsatisfiable 11.08s 3.48s
% Output : Refutation 11.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 430
% Syntax : Number of formulae : 796 ( 515 unt; 65 typ; 0 def)
% Number of atoms : 1065 ( 664 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 10420 ( 748 ~; 334 |; 0 &;9338 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 11 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 188 ( 188 >; 0 *; 0 +; 0 <<)
% Number of symbols : 67 ( 65 usr; 19 con; 0-21 aty)
% Number of variables : 4864 ( 0 ^;4864 !; 0 ?;4864 :)
% Comments :
%------------------------------------------------------------------------------
thf(hBOOL_type,type,
hBOOL: $i > $o ).
thf(hAPP_type,type,
hAPP: $i > $i > $i ).
thf(c_TypeRel_Owiden_type,type,
c_TypeRel_Owiden: $i > $i > $i ).
thf(v_P_type,type,
v_P: $i ).
thf(tc_prod_type,type,
tc_prod: $i > $i > $i ).
thf(tc_List_Olist_type,type,
tc_List_Olist: $i > $i ).
thf(tc_String_Ochar_type,type,
tc_String_Ochar: $i ).
thf(tc_Expr_Oexp_type,type,
tc_Expr_Oexp: $i > $i ).
thf(v_T_____type,type,
v_T____: $i ).
thf(c_WellTypeRT_OWTrt_type,type,
c_WellTypeRT_OWTrt: $i > $i > $i > $i > $i > $o ).
thf(v_aa_______type,type,
v_aa______: $i ).
thf(v_E_____type,type,
v_E____: $i ).
thf(c_Expr_Oexp_OLAss_type,type,
c_Expr_Oexp_OLAss: $i > $i > $i > $i ).
thf(v_V_______type,type,
v_V______: $i ).
thf(v_e_Ha_______type,type,
v_e_Ha______: $i ).
thf(c_DefAss_O_092_060D_062_type,type,
c_DefAss_O_092_060D_062: $i > $i > $i > $o ).
thf(c_Expr_Oexp_Othrow_type,type,
c_Expr_Oexp_Othrow: $i > $i > $i ).
thf(c_Expr_Oexp_OTryCatch_type,type,
c_Expr_Oexp_OTryCatch: $i > $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_Onew_type,type,
c_Expr_Oexp_Onew: $i > $i > $i ).
thf(c_Expr_Oexp_OFAcc_type,type,
c_Expr_Oexp_OFAcc: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OCond_type,type,
c_Expr_Oexp_OCond: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OBlock_type,type,
c_Expr_Oexp_OBlock: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OVal_type,type,
c_Expr_Oexp_OVal: $i > $i > $i ).
thf(c_Expr_Oexp_OVar_type,type,
c_Expr_Oexp_OVar: $i > $i > $i ).
thf(c_Expr_Oexp_OFAss_type,type,
c_Expr_Oexp_OFAss: $i > $i > $i > $i > $i > $i ).
thf(c_COMBI_type,type,
c_COMBI: $i > $i > $i ).
thf(c_Expr_Oexp_OBinOp_type,type,
c_Expr_Oexp_OBinOp: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OCall_type,type,
c_Expr_Oexp_OCall: $i > $i > $i > $i > $i ).
thf(c_Expr_Oexp_OSeq_type,type,
c_Expr_Oexp_OSeq: $i > $i > $i > $i ).
thf(c_Expr_Oexp_OWhile_type,type,
c_Expr_Oexp_OWhile: $i > $i > $i > $i ).
thf(c_Expr_Oexp_OCast_type,type,
c_Expr_Oexp_OCast: $i > $i > $i > $i ).
thf(c_List_Olist__all2_type,type,
c_List_Olist__all2: $i > $i > $i > $i > $i > $o ).
thf(c_fequal_type,type,
c_fequal: $i > $i ).
thf(c_Type_Oty_OVoid_type,type,
c_Type_Oty_OVoid: $i ).
thf(c_Type_Oty_OBoolean_type,type,
c_Type_Oty_OBoolean: $i ).
thf(c_Pair_type,type,
c_Pair: $i > $i > $i > $i > $i ).
thf(c_Objects_Ohext_type,type,
c_Objects_Ohext: $i > $i > $o ).
thf(c_Map_Omap__le_type,type,
c_Map_Omap__le: $i > $i > $i > $i > $o ).
thf(c_Option_Ooption_OSome_type,type,
c_Option_Ooption_OSome: $i > $i > $i ).
thf(c_Conform_Oconf_type,type,
c_Conform_Oconf: $i > $i > $i > $i > $i > $o ).
thf(c_Progress_OWTrt_H_type,type,
c_Progress_OWTrt_H: $i > $i > $i > $i > $i > $o ).
thf(tc_Type_Oty_type,type,
tc_Type_Oty: $i ).
thf(c_Expr_Oexp_Oexp__rec__1_type,type,
c_Expr_Oexp_Oexp__rec__1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(c_SmallStep_Oredp_type,type,
c_SmallStep_Oredp: $i > $i > $i > $i > $i > $o ).
thf(c_Expr_Oexp_Oexp__case_type,type,
c_Expr_Oexp_Oexp__case: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(c_WellType_OWT_type,type,
c_WellType_OWT: $i > $i > $i > $i > $o ).
thf(c_TypeSafe__Mirabelle_Osconf_type,type,
c_TypeSafe__Mirabelle_Osconf: $i > $i > $i > $o ).
thf(v_a_______type,type,
v_a______: $i ).
thf(v_b_______type,type,
v_b______: $i ).
thf(tc_fun_type,type,
tc_fun: $i > $i > $i ).
thf(tc_nat_type,type,
tc_nat: $i ).
thf(tc_Option_Ooption_type,type,
tc_Option_Ooption: $i > $i ).
thf(tc_Value_Oval_type,type,
tc_Value_Oval: $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2_type,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2: $i > $i > $i > $i > $i > $i ).
thf(v_sko__local__XLAssRed__2__1_type,type,
v_sko__local__XLAssRed__2__1: $i > $i > $i > $i > $i > $i ).
thf(v_ea_______type,type,
v_ea______: $i ).
thf(c_in_type,type,
c_in: $i > $i > $i > $o ).
thf(v_ba_______type,type,
v_ba______: $i ).
thf(c_SmallStep_Ored_type,type,
c_SmallStep_Ored: $i > $i ).
thf(v_sko__local__XLAssRed__Xhyps__2__1_type,type,
v_sko__local__XLAssRed__Xhyps__2__1: $i > $i > $i > $i > $i > $i ).
thf(t_a_type,type,
t_a: $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1_type,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1: $i > $i > $i > $i > $i > $i > $i > $i > $i ).
thf(c_Type_Othis_type,type,
c_Type_Othis: $i ).
thf(v_sko__CHAINED__1_type,type,
v_sko__CHAINED__1: $i > $i > $i > $i > $i > $i ).
thf(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1_type,type,
c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1: $i > $i > $i > $i > $i > $i ).
thf(340,axiom,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OFAss @ P @ Q @ R @ S @ T ) @ U @ T )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ H @ P ) @ Q ) @ R ) @ S ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I233_J_0) ).
thf(1322,plain,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OFAss @ P @ Q @ R @ S @ T ) @ U @ T )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ H @ P ) @ Q ) @ R ) @ S ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(149,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I88_J_0) ).
thf(809,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(346,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
| ~ ( c_WellType_OWT @ A @ D @ E @ C )
| ~ ( c_WellType_OWT @ A @ D @ F @ B )
| ~ ( c_WellType_OWT @ A @ D @ G @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ A @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCond_2) ).
thf(1337,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
| ~ ( c_WellType_OWT @ A @ D @ E @ C )
| ~ ( c_WellType_OWT @ A @ D @ F @ B )
| ~ ( c_WellType_OWT @ A @ D @ G @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ A @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(359,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OTryCatch @ B @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F @ ( c_Expr_Oexp_OTryCatch @ G @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ H )
| ~ ( c_SmallStep_Oredp @ A @ B @ F @ G @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OTryRed_0) ).
thf(1369,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OTryCatch @ B @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F @ ( c_Expr_Oexp_OTryCatch @ G @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ H )
| ~ ( c_SmallStep_Oredp @ A @ B @ F @ G @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(162,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I188_J_0) ).
thf(846,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(181,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I198_J_0) ).
thf(909,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(176,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I156_J_0) ).
thf(893,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(277,axiom,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OFAcc @ P @ Q @ R @ S ) @ T @ S )
= ( hAPP @ ( hAPP @ ( hAPP @ G @ P ) @ Q ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I232_J_0) ).
thf(1179,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OFAcc @ P @ Q @ R @ S ) @ T @ S )
= ( hAPP @ ( hAPP @ ( hAPP @ G @ P ) @ Q ) @ R ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(272,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I50_J_0) ).
thf(1168,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(133,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OBinOp @ F @ G @ H @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I115_J_0) ).
thf(760,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OBinOp @ F @ G @ H @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(237,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I61_J_0) ).
thf(1083,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(36,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I184_J_0) ).
thf(468,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(103,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I63_J_0) ).
thf(666,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(327,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ F @ C )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ G @ B )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_2) ).
thf(1295,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ F @ C )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ G @ B )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(203,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I45_J_0) ).
thf(977,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(75,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I62_J_0) ).
thf(582,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(232,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_Onew @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I41_J_0) ).
thf(1068,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_Onew @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(27,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
| ( C = G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_2) ).
thf(440,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
| ( C = G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(85,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I16_J_0) ).
thf(614,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(223,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I53_J_0) ).
thf(1041,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(274,axiom,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_Othrow @ R @ S ) @ T @ S @ U )
= ( hAPP @ ( hAPP @ N @ R ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ T @ S @ U ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I14_J_0) ).
thf(1173,plain,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_Othrow @ R @ S ) @ T @ S @ U )
= ( hAPP @ ( hAPP @ N @ R ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ T @ S @ U ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(124,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I164_J_0) ).
thf(730,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(325,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I152_J_0) ).
thf(1290,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(170,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I193_J_0) ).
thf(873,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(289,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I140_J_0) ).
thf(1205,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(259,axiom,
c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E____ @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_I3_J_0) ).
thf(1142,plain,
c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E____ @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(6,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
| ( A = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_0) ).
thf(379,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
| ( A = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(257,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ D ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ E ) @ D ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__trans_0) ).
thf(1137,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ D ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ E ) @ D ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(334,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
| ~ ( c_WellType_OWT @ A @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__implies__WTrt_0) ).
thf(1310,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
| ~ ( c_WellType_OWT @ A @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(151,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVar @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I123_J_0) ).
thf(814,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVar @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(348,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I149_J_0) ).
thf(1342,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(353,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OLAss @ D @ E @ C ) )
| ( A = D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_0) ).
thf(1354,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OLAss @ D @ E @ C ) )
| ( A = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(188,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OWhile @ F @ G @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I223_J_0) ).
thf(930,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OWhile @ F @ G @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(211,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OBlock @ F @ G @ H @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I205_J_0) ).
thf(1001,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OBlock @ F @ G @ H @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(305,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OSeq @ B @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D @ ( c_Expr_Oexp_OSeq @ E @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
| ~ ( c_SmallStep_Oredp @ A @ B @ D @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OSeqRed_0) ).
thf(1243,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OSeq @ B @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D @ ( c_Expr_Oexp_OSeq @ E @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
| ~ ( c_SmallStep_Oredp @ A @ B @ D @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(117,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAcc @ F @ G @ H @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I169_J_0) ).
thf(709,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAcc @ F @ G @ H @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(355,axiom,
! [B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_aa______ @ A @ v_e_Ha______ @ ( v_sko__local__XLAssRed__Xhyps__2__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_Ohyps_I2_J_0) ).
thf(1359,plain,
! [B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_aa______ @ A @ v_e_Ha______ @ ( v_sko__local__XLAssRed__Xhyps__2__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(358,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I144_J_0) ).
thf(1366,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(25,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I196_J_0) ).
thf(436,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(299,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ F @ C )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ G @ B )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_0) ).
thf(1228,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ F @ C )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ G @ B )
| ~ ( c_Progress_OWTrt_H @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(9,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAcc @ F @ G @ H @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I155_J_0) ).
thf(389,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAcc @ F @ G @ H @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(71,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I36_J_0) ).
thf(570,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(48,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I214_J_0) ).
thf(504,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(314,axiom,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OVal @ R @ S ) @ T @ S @ U )
= ( hAPP @ C @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I3_J_0) ).
thf(1264,plain,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OVal @ R @ S ) @ T @ S @ U )
= ( hAPP @ C @ R ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(320,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ D @ E )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt__wt_H_0) ).
thf(1279,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ D @ E )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(283,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_Othrow @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I150_J_0) ).
thf(1191,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_Othrow @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(229,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I160_J_0) ).
thf(1059,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(194,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OBlock @ F @ G @ H @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I172_J_0) ).
thf(949,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OBlock @ F @ G @ H @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(364,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Conform_Oconf @ A @ B @ C @ D @ E )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ E ) @ F ) @ D ) )
| ~ ( c_Conform_Oconf @ A @ B @ C @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__widen_0) ).
thf(1379,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Conform_Oconf @ A @ B @ C @ D @ E )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ E ) @ F ) @ D ) )
| ~ ( c_Conform_Oconf @ A @ B @ C @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(262,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I142_J_0) ).
thf(1147,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(307,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I151_J_0) ).
thf(1247,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(20,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I208_J_0) ).
thf(421,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(350,axiom,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_Onew @ P @ Q ) @ R @ Q )
= ( hAPP @ A @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I226_J_0) ).
thf(1347,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_Onew @ P @ Q ) @ R @ Q )
= ( hAPP @ A @ P ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(301,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OVal @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I75_J_0) ).
thf(1232,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OVal @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(152,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Map_Omap__le @ A @ B @ C @ D )
| ~ ( c_Map_Omap__le @ E @ B @ C @ D )
| ~ ( c_Map_Omap__le @ A @ E @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__trans_0) ).
thf(817,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Map_Omap__le @ A @ B @ C @ D )
| ~ ( c_Map_Omap__le @ E @ B @ C @ D )
| ~ ( c_Map_Omap__le @ A @ E @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(179,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I124_J_0) ).
thf(902,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(215,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
| ( B = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_1) ).
thf(1013,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
| ( B = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(137,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
| ( D = I ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_3) ).
thf(770,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
| ( D = I ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(186,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I56_J_0) ).
thf(924,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(143,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
| ( A = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_0) ).
thf(789,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
| ( A = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(78,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Pair @ A @ B @ C @ D )
!= ( c_Pair @ E @ F @ C @ D ) )
| ( A = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_0) ).
thf(591,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Pair @ A @ B @ C @ D )
!= ( c_Pair @ E @ F @ C @ D ) )
| ( A = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(361,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I146_J_0) ).
thf(1373,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(246,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ~ ( c_Progress_OWTrt_H @ B @ C @ D @ ( c_Expr_Oexp_OLAss @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__elim__cases_0) ).
thf(1109,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ~ ( c_Progress_OWTrt_H @ B @ C @ D @ ( c_Expr_Oexp_OLAss @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(5,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I162_J_0) ).
thf(376,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(158,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCast @ F @ G @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I69_J_0) ).
thf(834,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCast @ F @ G @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(264,axiom,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OVal @ P @ Q ) @ R @ Q )
= ( hAPP @ C @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I228_J_0) ).
thf(1151,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OVal @ P @ Q ) @ R @ Q )
= ( hAPP @ C @ P ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(148,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I78_J_0) ).
thf(806,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(345,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I145_J_0) ).
thf(1334,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OLAss @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(96,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I191_J_0) ).
thf(646,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(180,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OCast @ D @ E @ C ) )
| ( B = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_1) ).
thf(905,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OCast @ D @ E @ C ) )
| ( B = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(40,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_Othrow @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I180_J_0) ).
thf(480,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_Othrow @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(81,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCall @ F @ G @ H @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I170_J_0) ).
thf(602,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCall @ F @ G @ H @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(110,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I212_J_0) ).
thf(687,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(363,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OSeq @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ E @ F )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I18_J_0) ).
thf(1377,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OSeq @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ E @ F )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(168,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I99_J_0) ).
thf(866,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(31,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I98_J_0) ).
thf(453,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(138,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
| ( B = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_1) ).
thf(774,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
| ( B = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(101,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCond @ F @ G @ H @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I219_J_0) ).
thf(660,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCond @ F @ G @ H @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(210,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVal @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I77_J_0) ).
thf(998,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVal @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(349,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
| ~ ( c_Map_Omap__le @ F @ C @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ F @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__env__mono_0) ).
thf(1345,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
| ~ ( c_Map_Omap__le @ F @ C @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ F @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(163,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I187_J_0) ).
thf(849,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OCall @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(49,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_Othrow @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I220_J_0) ).
thf(507,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_Othrow @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(293,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I74_J_0) ).
thf(1215,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(91,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I203_J_0) ).
thf(634,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(22,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCall @ A @ D @ E @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I9_J_0) ).
thf(428,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCall @ A @ D @ E @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(287,axiom,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_Othrow @ P @ Q ) @ R @ Q )
= ( hAPP @ N @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I239_J_0) ).
thf(1201,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_Othrow @ P @ Q ) @ R @ Q )
= ( hAPP @ N @ P ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(234,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I26_J_0) ).
thf(1074,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(26,axiom,
! [C: $i,B: $i,A: $i] : ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OVal @ A @ B ) @ C @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I3_J_0) ).
thf(439,plain,
! [C: $i,B: $i,A: $i] : ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OVal @ A @ B ) @ C @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(107,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I95_J_0) ).
thf(678,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(332,axiom,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OVar @ R @ S ) @ T @ S @ U )
= ( hAPP @ E @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I5_J_0) ).
thf(1306,plain,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OVar @ R @ S ) @ T @ S @ U )
= ( hAPP @ E @ R ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(286,axiom,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_Onew @ R @ S ) @ T @ S @ U )
= ( hAPP @ A @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I1_J_0) ).
thf(1199,plain,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_Onew @ R @ S ) @ T @ S @ U )
= ( hAPP @ A @ R ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(265,axiom,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OCast @ R @ S @ T ) @ U @ T @ V )
= ( hAPP @ ( hAPP @ ( hAPP @ B @ R ) @ S ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ U @ T @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I2_J_0) ).
thf(1153,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OCast @ R @ S @ T ) @ U @ T @ V )
= ( hAPP @ ( hAPP @ ( hAPP @ B @ R ) @ S ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ U @ T @ V ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A ) @ v_T____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_aa______ @ v_E____ @ ( c_Expr_Oexp_OLAss @ v_V______ @ v_e_Ha______ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(366,plain,
! [A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ A ) @ v_T____ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_aa______ @ v_E____ @ ( c_Expr_Oexp_OLAss @ v_V______ @ v_e_Ha______ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(58,axiom,
c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I2_J_0) ).
thf(534,plain,
c_Type_Oty_OVoid != c_Type_Oty_OBoolean,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(119,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I201_J_0) ).
thf(714,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(270,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ tc_Type_Oty ) )
| ( c_Progress_OWTrt_H @ D @ E @ A @ ( c_Expr_Oexp_OVar @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I4_J_0) ).
thf(1163,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ tc_Type_Oty ) )
| ( c_Progress_OWTrt_H @ D @ E @ A @ ( c_Expr_Oexp_OVar @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(62,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I134_J_0) ).
thf(546,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(144,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I110_J_0) ).
thf(793,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(296,axiom,
c_WellTypeRT_OWTrt @ v_P @ v_a______ @ v_E____ @ ( c_Expr_Oexp_OLAss @ v_V______ @ v_ea______ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
thf(1223,plain,
c_WellTypeRT_OWTrt @ v_P @ v_a______ @ v_E____ @ ( c_Expr_Oexp_OLAss @ v_V______ @ v_ea______ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(155,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCast @ D @ A @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I2_J_0) ).
thf(825,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCast @ D @ A @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(195,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I104_J_0) ).
thf(952,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(310,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ C @ c_Type_Oty_OBoolean )
| ~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OCond @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I2_J_0) ).
thf(1255,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ C @ c_Type_Oty_OBoolean )
| ~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OCond @ C @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(252,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I96_J_0) ).
thf(1123,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(10,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I183_J_0) ).
thf(392,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(21,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
| ( B = G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_1) ).
thf(424,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
| ( B = G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(303,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OSeq @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E )
| ~ ( c_WellType_OWT @ A @ B @ D @ E )
| ~ ( c_WellType_OWT @ A @ B @ C @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTSeq_0) ).
thf(1238,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OSeq @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E )
| ~ ( c_WellType_OWT @ A @ B @ D @ E )
| ~ ( c_WellType_OWT @ A @ B @ C @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(217,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
| ( B = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_1) ).
thf(1021,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
| ( B = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(139,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVal @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I87_J_0) ).
thf(778,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVal @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(112,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OVal @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I79_J_0) ).
thf(693,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OVal @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(90,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OVar @ C @ B ) )
| ( A = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I5_J_0) ).
thf(630,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OVar @ C @ B ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(69,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Onew @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I37_J_0) ).
thf(566,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Onew @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(220,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_Onew @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I23_J_0) ).
thf(1032,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_Onew @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(172,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
| ( D = I ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_3) ).
thf(879,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
| ( D = I ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(164,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Option_Ooption_OSome @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ B ) )
| ( A = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_option_Oinject_0) ).
thf(852,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Option_Ooption_OSome @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ B ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(268,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( c_WellType_OWT @ A @ D @ E @ C )
| ~ ( c_WellType_OWT @ A @ D @ F @ B )
| ~ ( c_WellType_OWT @ A @ D @ G @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ A @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCond_0) ).
thf(1159,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( c_WellType_OWT @ A @ D @ E @ C )
| ~ ( c_WellType_OWT @ A @ D @ F @ B )
| ~ ( c_WellType_OWT @ A @ D @ G @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ A @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(132,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I68_J_0) ).
thf(757,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(321,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I138_J_0) ).
thf(1281,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(32,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I189_J_0) ).
thf(456,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(202,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I109_J_0) ).
thf(974,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(245,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Othrow @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I166_J_0) ).
thf(1106,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Othrow @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(54,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Othrow @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I202_J_0) ).
thf(522,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Othrow @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(157,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_Othrow @ C @ B ) )
| ( A = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I14_J_0) ).
thf(830,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_Othrow @ C @ B ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(44,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I30_J_0) ).
thf(493,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(291,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_Onew @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I25_J_0) ).
thf(1210,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_Onew @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(64,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OVar @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I127_J_0) ).
thf(551,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OVar @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(254,axiom,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OBlock @ P @ Q @ R @ S ) @ T @ S )
= ( hAPP @ ( hAPP @ ( hAPP @ J @ P ) @ Q ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I235_J_0) ).
thf(1128,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OBlock @ P @ Q @ R @ S ) @ T @ S )
= ( hAPP @ ( hAPP @ ( hAPP @ J @ P ) @ Q ) @ R ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(260,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2 @ C @ A @ D @ B @ E ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OLAss @ E @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_2) ).
thf(1143,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2 @ C @ A @ D @ B @ E ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OLAss @ E @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(216,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
| ( A = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_0) ).
thf(1017,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
| ( A = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(241,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I181_J_0) ).
thf(1096,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(169,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OWhile @ D @ E @ C ) )
| ( B = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I13_J_1) ).
thf(869,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OWhile @ D @ E @ C ) )
| ( B = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(250,axiom,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OBlock @ R @ S @ T @ U ) @ V @ U @ W )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ J @ R ) @ S ) @ T ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ T @ V @ U @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I10_J_0) ).
thf(1118,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OBlock @ R @ S @ T @ U ) @ V @ U @ W )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ J @ R ) @ S ) @ T ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ T @ V @ U @ W ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(46,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OSeq @ A @ D @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I11_J_0) ).
thf(499,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OSeq @ A @ D @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(207,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I186_J_0) ).
thf(989,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(53,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I113_J_0) ).
thf(519,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(128,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVal @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I71_J_0) ).
thf(742,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVal @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(317,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I51_J_0) ).
thf(1270,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(312,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I141_J_0) ).
thf(1259,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(204,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I32_J_0) ).
thf(980,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(14,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I120_J_0) ).
thf(403,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(37,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Othrow @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I192_J_0) ).
thf(471,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Othrow @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(343,axiom,
! [X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OTryCatch @ R @ S @ T @ U @ V ) @ W @ V @ X )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ O @ R ) @ S ) @ T ) @ U ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ W @ V @ X ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ U @ W @ V @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I15_J_0) ).
thf(1329,plain,
! [X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OTryCatch @ R @ S @ T @ U @ V ) @ W @ V @ X )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ O @ R ) @ S ) @ T ) @ U ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ W @ V @ X ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ U @ W @ V @ X ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(356,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OLAss @ F @ G @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I139_J_0) ).
thf(1361,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OLAss @ F @ G @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(189,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I92_J_0) ).
thf(933,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(279,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OLAss @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ F ) @ G ) )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ E @ F )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OVar @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I7_J_0) ).
thf(1182,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OLAss @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ F ) @ G ) )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ E @ F )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ ( c_Expr_Oexp_OVar @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(59,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I106_J_0) ).
thf(537,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(104,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I57_J_0) ).
thf(669,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(94,axiom,
! [C: $i,B: $i,A: $i] : ( c_Map_Omap__le @ A @ A @ B @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__refl_0) ).
thf(642,plain,
! [C: $i,B: $i,A: $i] : ( c_Map_Omap__le @ A @ A @ B @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(92,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Objects_Ohext @ A @ B )
| ~ ( c_Objects_Ohext @ C @ B )
| ~ ( c_Objects_Ohext @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__trans_0) ).
thf(637,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Objects_Ohext @ A @ B )
| ~ ( c_Objects_Ohext @ C @ B )
| ~ ( c_Objects_Ohext @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(43,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
| ( A = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_0) ).
thf(489,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
| ( A = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(266,axiom,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OSeq @ P @ Q @ R ) @ S @ R )
= ( hAPP @ ( hAPP @ K @ P ) @ Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I236_J_0) ).
thf(1155,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OSeq @ P @ Q @ R ) @ S @ R )
= ( hAPP @ ( hAPP @ K @ P ) @ Q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(116,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I173_J_0) ).
thf(706,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(65,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I65_J_0) ).
thf(554,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OCast @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(131,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
| ( B = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_1) ).
thf(753,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
| ( B = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(159,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Onew @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I31_J_0) ).
thf(837,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Onew @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(341,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
| ~ ( c_WellType_OWT @ A @ C @ D @ B )
| ~ ( c_WellType_OWT @ A @ C @ E @ B )
| ~ ( c_WellType_OWT @ A @ C @ F @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ A @ C @ ( c_Expr_Oexp_OCond @ F @ E @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTCond_1) ).
thf(1324,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
| ~ ( c_WellType_OWT @ A @ C @ D @ B )
| ~ ( c_WellType_OWT @ A @ C @ E @ B )
| ~ ( c_WellType_OWT @ A @ C @ F @ c_Type_Oty_OBoolean )
| ( c_WellType_OWT @ A @ C @ ( c_Expr_Oexp_OCond @ F @ E @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(242,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I179_J_0) ).
thf(1099,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(263,axiom,
c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E____ @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
thf(1150,plain,
c_TypeSafe__Mirabelle_Osconf @ v_P @ v_E____ @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(328,axiom,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCond @ P @ Q @ R @ S ) @ T @ S )
= ( hAPP @ ( hAPP @ ( hAPP @ L @ P ) @ Q ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I237_J_0) ).
thf(1297,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCond @ P @ Q @ R @ S ) @ T @ S )
= ( hAPP @ ( hAPP @ ( hAPP @ L @ P ) @ Q ) @ R ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(315,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ C @ D )
| ~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OTryCatch @ C @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I5_J_0) ).
thf(1266,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ C @ D )
| ~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OTryCatch @ C @ E @ F @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(99,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I209_J_0) ).
thf(654,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(226,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I182_J_0) ).
thf(1050,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(70,axiom,
! [C: $i,B: $i,A: $i] : ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Onew @ A @ B ) @ C @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I1_J_0) ).
thf(569,plain,
! [C: $i,B: $i,A: $i] : ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Onew @ A @ B ) @ C @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(82,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I111_J_0) ).
thf(605,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(338,axiom,
! [X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OFAss @ R @ S @ T @ U @ V ) @ W @ V @ X )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ H @ R ) @ S ) @ T ) @ U ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ W @ V @ X ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ U @ W @ V @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I8_J_0) ).
thf(1318,plain,
! [X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OFAss @ R @ S @ T @ U @ V ) @ W @ V @ X )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ H @ R ) @ S ) @ T ) @ U ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ W @ V @ X ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ U @ W @ V @ X ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(238,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OWhile @ D @ E @ C ) )
| ( A = D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I13_J_0) ).
thf(1086,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OWhile @ D @ E @ C ) )
| ( A = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(185,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I60_J_0) ).
thf(921,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OSeq @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(100,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OVal @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I73_J_0) ).
thf(657,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OVal @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(233,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I42_J_0) ).
thf(1071,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(323,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OLAss @ B @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D @ ( c_Expr_Oexp_OLAss @ B @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
| ~ ( c_SmallStep_Oredp @ A @ C @ D @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OLAssRed_0) ).
thf(1286,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OLAss @ B @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D @ ( c_Expr_Oexp_OLAss @ B @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
| ~ ( c_SmallStep_Oredp @ A @ C @ D @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(12,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OVal @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I18_J_0) ).
thf(398,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OVal @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(221,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I217_J_0) ).
thf(1035,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(17,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_Othrow @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I90_J_0) ).
thf(412,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_Othrow @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(244,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I207_J_0) ).
thf(1103,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OSeq @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(318,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I24_J_0) ).
thf(1273,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(165,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I185_J_0) ).
thf(856,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(129,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
| ( C = G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_2) ).
thf(745,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
| ( C = G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(72,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I100_J_0) ).
thf(573,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(28,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OVar @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I22_J_0) ).
thf(444,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OVar @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(125,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OVal @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I85_J_0) ).
thf(733,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OVal @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(51,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_Othrow @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I210_J_0) ).
thf(513,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_Othrow @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(23,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAss @ A @ D @ E @ F @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I8_J_0) ).
thf(430,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAss @ A @ D @ E @ F @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(153,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I168_J_0) ).
thf(819,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(213,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I165_J_0) ).
thf(1007,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(161,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_Onew @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I35_J_0) ).
thf(843,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_Onew @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(74,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I221_J_0) ).
thf(579,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(197,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I126_J_0) ).
thf(958,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(298,axiom,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OCond @ R @ S @ T @ U ) @ V @ U @ W )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ L @ R ) @ S ) @ T ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ V @ U @ W ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ V @ U @ W ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ T @ V @ U @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I12_J_0) ).
thf(1226,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OCond @ R @ S @ T @ U ) @ V @ U @ W )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ L @ R ) @ S ) @ T ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ V @ U @ W ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ V @ U @ W ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ T @ V @ U @ W ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(258,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ~ ( c_WellType_OWT @ B @ C @ ( c_Expr_Oexp_OLAss @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I1_J_0) ).
thf(1139,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ~ ( c_WellType_OWT @ B @ C @ ( c_Expr_Oexp_OLAss @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(190,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I38_J_0) ).
thf(936,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(360,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ F @ C )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ G @ B )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCond_0) ).
thf(1371,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ F @ C )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ G @ B )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C )
| ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(335,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OLAss @ A @ B @ C ) @ D @ C )
| ~ ( c_DefAss_O_092_060D_062 @ B @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I6_J_1) ).
thf(1312,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OLAss @ A @ B @ C ) @ D @ C )
| ~ ( c_DefAss_O_092_060D_062 @ B @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(84,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I215_J_0) ).
thf(611,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(240,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OSeq @ D @ E @ C ) )
| ( B = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_1) ).
thf(1092,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OSeq @ D @ E @ C ) )
| ( B = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(239,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAcc @ A @ D @ E @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I7_J_0) ).
thf(1090,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAcc @ A @ D @ E @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(297,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2 @ B @ A @ C @ D @ E ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1 @ B @ A @ C @ D @ E ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ B @ ( c_Expr_Oexp_OLAss @ E @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_3) ).
thf(1224,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__2 @ B @ A @ C @ D @ E ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1 @ B @ A @ C @ D @ E ) ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ B @ ( c_Expr_Oexp_OLAss @ E @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(60,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_Onew @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I39_J_0) ).
thf(540,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_Onew @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(105,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I28_J_0) ).
thf(672,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OFAss @ C @ D @ E @ F @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(135,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I218_J_0) ).
thf(764,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(284,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I137_J_0) ).
thf(1194,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(108,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OSeq @ F @ G @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I174_J_0) ).
thf(681,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OSeq @ F @ G @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(141,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCond @ A @ D @ E @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I12_J_0) ).
thf(784,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCond @ A @ D @ E @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(351,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ tc_Type_Oty ) )
| ( c_WellType_OWT @ D @ A @ ( c_Expr_Oexp_OVar @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTVar_0) ).
thf(1349,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ tc_Type_Oty ) )
| ( c_WellType_OWT @ D @ A @ ( c_Expr_Oexp_OVar @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(97,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I58_J_0) ).
thf(649,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(178,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Conform_Oconf @ A @ B @ C @ D @ E )
| ~ ( c_Conform_Oconf @ A @ F @ C @ D @ E )
| ~ ( c_Objects_Ohext @ F @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conf__hext_0) ).
thf(900,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Conform_Oconf @ A @ B @ C @ D @ E )
| ~ ( c_Conform_Oconf @ A @ F @ C @ D @ E )
| ~ ( c_Objects_Ohext @ F @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(15,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
| ( B = G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_1) ).
thf(406,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
| ( B = G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(225,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OWhile @ A @ D @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I13_J_0) ).
thf(1048,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OWhile @ A @ D @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(126,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I70_J_0) ).
thf(736,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(80,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVal @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I81_J_0) ).
thf(599,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVal @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(362,axiom,
c_WellTypeRT_OWTrt @ v_P @ v_a______ @ v_E____ @ ( c_Expr_Oexp_OLAss @ v_V______ @ v_ea______ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_I4_J_0) ).
thf(1376,plain,
c_WellTypeRT_OWTrt @ v_P @ v_a______ @ v_E____ @ ( c_Expr_Oexp_OLAss @ v_V______ @ v_ea______ @ ( tc_List_Olist @ tc_String_Ochar ) ) @ v_T____,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(167,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I161_J_0) ).
thf(863,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(275,axiom,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OLAss @ R @ S @ T ) @ U @ T @ V )
= ( hAPP @ ( hAPP @ ( hAPP @ F @ R ) @ S ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ U @ T @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I6_J_0) ).
thf(1175,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OLAss @ R @ S @ T ) @ U @ T @ V )
= ( hAPP @ ( hAPP @ ( hAPP @ F @ R ) @ S ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ U @ T @ V ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(175,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OSeq @ F @ G @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I213_J_0) ).
thf(890,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OSeq @ F @ G @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(39,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I46_J_0) ).
thf(477,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(236,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I76_J_0) ).
thf(1080,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(347,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I97_J_0) ).
thf(1339,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(87,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I67_J_0) ).
thf(621,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(41,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I154_J_0) ).
thf(483,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(219,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCond @ F @ G @ H @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I176_J_0) ).
thf(1029,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCond @ F @ G @ H @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(199,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OCast @ D @ E @ C ) )
| ( A = D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I2_J_0) ).
thf(964,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OCast @ D @ E @ C ) )
| ( A = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(183,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I200_J_0) ).
thf(915,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(192,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I158_J_0) ).
thf(943,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(326,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OSeq @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ E @ F )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtSeq_0) ).
thf(1293,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OSeq @ D @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ E @ F )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(34,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I171_J_0) ).
thf(462,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(247,axiom,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widen__refl_0) ).
thf(1112,plain,
! [C: $i,B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ B ) @ C ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(146,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
| ( C = G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I4_J_2) ).
thf(799,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) )
| ( C = G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(123,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
| ( C = G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_2) ).
thf(726,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
| ( C = G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(276,axiom,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OFAcc @ R @ S @ T @ U ) @ V @ U @ W )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ G @ R ) @ S ) @ T ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ V @ U @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I7_J_0) ).
thf(1177,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OFAcc @ R @ S @ T @ U ) @ V @ U @ W )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ G @ R ) @ S ) @ T ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ V @ U @ W ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(365,axiom,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCast @ P @ Q @ R ) @ S @ R )
= ( hAPP @ ( hAPP @ B @ P ) @ Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I227_J_0) ).
thf(1381,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCast @ P @ Q @ R ) @ S @ R )
= ( hAPP @ ( hAPP @ B @ P ) @ Q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(205,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Othrow @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I216_J_0) ).
thf(983,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Othrow @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(173,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OVar @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I131_J_0) ).
thf(883,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OVar @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(83,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_Othrow @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I132_J_0) ).
thf(608,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_Othrow @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(206,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_Othrow @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I225_J_0) ).
thf(986,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_Othrow @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(243,axiom,
! [A: $i] : ( c_Objects_Ohext @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hext__refl_0) ).
thf(1102,plain,
! [A: $i] : ( c_Objects_Ohext @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(182,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I224_J_0) ).
thf(912,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OTryCatch @ C @ D @ E @ F @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(273,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ C @ D )
| ~ ( c_Map_Omap__le @ E @ B @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellType_OWT @ A @ E @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt__env__mono_0) ).
thf(1171,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellType_OWT @ A @ B @ C @ D )
| ~ ( c_Map_Omap__le @ E @ B @ ( tc_List_Olist @ tc_String_Ochar ) @ tc_Type_Oty )
| ~ ( c_WellType_OWT @ A @ E @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(292,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ F @ C )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ G @ B )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCond_2) ).
thf(1213,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ C ) )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ C ) @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ F @ C )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ G @ B )
| ~ ( c_WellTypeRT_OWTrt @ A @ D @ E @ H @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ A @ D @ E @ ( c_Expr_Oexp_OCond @ H @ G @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(156,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OVar @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I121_J_0) ).
thf(827,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OVar @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(224,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Pair @ A @ B @ C @ D )
!= ( c_Pair @ E @ F @ C @ D ) )
| ( B = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Pair__eq_1) ).
thf(1044,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Pair @ A @ B @ C @ D )
!= ( c_Pair @ E @ F @ C @ D ) )
| ( B = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(306,axiom,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCall @ P @ Q @ R @ S ) @ T @ S )
= ( hAPP @ ( hAPP @ ( hAPP @ I @ P ) @ Q ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I234_J_0) ).
thf(1245,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OCall @ P @ Q @ R @ S ) @ T @ S )
= ( hAPP @ ( hAPP @ ( hAPP @ I @ P ) @ Q ) @ R ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(248,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ tc_Type_Oty ) )
| ( c_WellTypeRT_OWTrt @ D @ E @ A @ ( c_Expr_Oexp_OVar @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtVar_0) ).
thf(1113,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ tc_Type_Oty ) )
| ( c_WellTypeRT_OWTrt @ D @ E @ A @ ( c_Expr_Oexp_OVar @ B @ ( tc_List_Olist @ tc_String_Ochar ) ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(68,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I204_J_0) ).
thf(563,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(357,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
| ~ ( c_Objects_Ohext @ F @ B )
| ~ ( c_WellTypeRT_OWTrt @ A @ F @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__hext__mono_0) ).
thf(1364,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
| ~ ( c_Objects_Ohext @ F @ B )
| ~ ( c_WellTypeRT_OWTrt @ A @ F @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(308,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I143_J_0) ).
thf(1250,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(106,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVar @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I119_J_0) ).
thf(675,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVar @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(271,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OLAss @ D @ A @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I6_J_0) ).
thf(1166,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OLAss @ D @ A @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(57,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OBinOp @ F @ G @ H @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I101_J_0) ).
thf(531,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OBinOp @ F @ G @ H @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(102,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I82_J_0) ).
thf(663,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OBlock @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(187,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I167_J_0) ).
thf(927,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(150,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OBinOp @ A @ D @ E @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I4_J_0) ).
thf(812,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OBinOp @ A @ D @ E @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(130,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
| ( A = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I9_J_0) ).
thf(749,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) )
| ( A = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(191,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
| ( C = H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I15_J_2) ).
thf(939,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OTryCatch @ F @ G @ H @ I @ E ) )
| ( C = H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(261,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ D @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ E @ D @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ E @ tc_Type_Oty @ tc_Type_Oty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__trans_0) ).
thf(1145,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ D @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ E @ D @ tc_Type_Oty @ tc_Type_Oty )
| ~ ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ E @ tc_Type_Oty @ tc_Type_Oty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(288,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ E @ C @ A @ F @ G @ D @ H @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OTryCatch @ D @ E @ G @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_0) ).
thf(1203,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ E @ C @ A @ F @ G @ D @ H @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OTryCatch @ D @ E @ G @ H @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(290,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OLAss @ c_Type_Othis @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WT__elim__cases_I1_J_4) ).
thf(1208,plain,
! [D: $i,C: $i,B: $i,A: $i] :
~ ( c_WellType_OWT @ A @ B @ ( c_Expr_Oexp_OLAss @ c_Type_Othis @ C @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(86,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
| ( C = G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I12_J_2) ).
thf(617,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) )
| ( C = G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(52,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_List_Olist__all2 @ ( c_fequal @ C ) @ A @ B @ C @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__eq_1) ).
thf(516,plain,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_List_Olist__all2 @ ( c_fequal @ C ) @ A @ B @ C @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(200,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_Onew @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I19_J_0) ).
thf(968,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_Onew @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(278,axiom,
c_in @ ( c_Pair @ ( c_Pair @ v_ea______ @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ v_e_Ha______ @ ( c_Pair @ v_aa______ @ v_ba______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ v_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
thf(1181,plain,
c_in @ ( c_Pair @ ( c_Pair @ v_ea______ @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( c_Pair @ v_e_Ha______ @ ( c_Pair @ v_aa______ @ v_ba______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( c_SmallStep_Ored @ v_P ) @ ( tc_prod @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) @ ( tc_prod @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_prod @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(55,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I175_J_0) ).
thf(525,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(111,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I163_J_0) ).
thf(690,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(218,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
| ( A = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_0) ).
thf(1025,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
| ( A = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(201,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVar @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I94_J_0) ).
thf(971,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVar @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(127,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I177_J_0) ).
thf(739,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAss @ E @ F @ G @ H @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(300,axiom,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OBinOp @ P @ Q @ R @ S ) @ T @ S )
= ( hAPP @ ( hAPP @ ( hAPP @ D @ P ) @ Q ) @ R ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I229_J_0) ).
thf(1230,plain,
! [T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OBinOp @ P @ Q @ R @ S ) @ T @ S )
= ( hAPP @ ( hAPP @ ( hAPP @ D @ P ) @ Q ) @ R ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(118,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Othrow @ A @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I14_J_0) ).
thf(712,plain,
! [C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Othrow @ A @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(66,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I159_J_0) ).
thf(557,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(227,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_Onew @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I17_J_0) ).
thf(1053,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_Onew @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(330,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I148_J_0) ).
thf(1300,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(120,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I197_J_0) ).
thf(717,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OBlock @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(160,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I20_J_0) ).
thf(840,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OBinOp @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(73,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OVar @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I48_J_0) ).
thf(576,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OVar @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(255,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OVar @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I117_J_0) ).
thf(1130,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OVar @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(294,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I147_J_0) ).
thf(1218,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OLAss @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(95,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Onew @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I27_J_0) ).
thf(643,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Onew @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(282,axiom,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ C ) @ A ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
thf(1188,plain,
! [C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ C ) @ A ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(281,axiom,
( ( c_COMBI @ v_P @ t_a )
= v_P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def__raw_0) ).
thf(1186,plain,
( ( c_COMBI @ v_P @ t_a )
= v_P ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(222,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I84_J_0) ).
thf(1038,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(76,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I206_J_0) ).
thf(585,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OCond @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(3,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_Onew @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I43_J_0) ).
thf(370,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_Onew @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(313,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_wt_H__wt_0) ).
thf(1262,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ E )
| ~ ( c_Progress_OWTrt_H @ A @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(302,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
= ( c_Option_Ooption_OSome @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1 @ A @ C @ D @ E @ B ) @ tc_Type_Oty ) )
| ~ ( c_WellTypeRT_OWTrt @ C @ E @ A @ ( c_Expr_Oexp_OLAss @ B @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_1) ).
thf(1235,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
= ( c_Option_Ooption_OSome @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__1__1 @ A @ C @ D @ E @ B ) @ tc_Type_Oty ) )
| ~ ( c_WellTypeRT_OWTrt @ C @ E @ A @ ( c_Expr_Oexp_OLAss @ B @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(354,axiom,
! [C: $i,B: $i,A: $i] : ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ C @ tc_Type_Oty @ tc_Type_Oty ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_widens__refl_0) ).
thf(1358,plain,
! [C: $i,B: $i,A: $i] : ( c_List_Olist__all2 @ ( c_TypeRel_Owiden @ A @ B ) @ C @ C @ tc_Type_Oty @ tc_Type_Oty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(311,axiom,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OTryCatch @ P @ Q @ R @ S @ T ) @ U @ T )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ O @ P ) @ Q ) @ R ) @ S ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I240_J_0) ).
thf(1257,plain,
! [U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OTryCatch @ P @ Q @ R @ S @ T ) @ U @ T )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ O @ P ) @ Q ) @ R ) @ S ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(115,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I34_J_0) ).
thf(703,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(8,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVal @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I83_J_0) ).
thf(386,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVal @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(79,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
| ( A = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I7_J_0) ).
thf(595,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) )
| ( A = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(171,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I211_J_0) ).
thf(876,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OSeq @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(166,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_Onew @ C @ B ) )
| ( A = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I1_J_0) ).
thf(859,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_Onew @ C @ B ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(304,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ tc_Type_Oty ) )
| ( c_WellType_OWT @ D @ A @ ( c_Expr_Oexp_OLAss @ B @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ( B = c_Type_Othis )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ F ) @ C ) )
| ~ ( c_WellType_OWT @ D @ A @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTLAss_0) ).
thf(1240,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ tc_Type_Oty ) )
| ( c_WellType_OWT @ D @ A @ ( c_Expr_Oexp_OLAss @ B @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ( B = c_Type_Othis )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ F ) @ C ) )
| ~ ( c_WellType_OWT @ D @ A @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(295,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) ) @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
thf(1221,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__CHAINED__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) ) @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(322,axiom,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OVar @ P @ Q ) @ R @ Q )
= ( hAPP @ E @ P ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I230_J_0) ).
thf(1284,plain,
! [R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OVar @ P @ Q ) @ R @ Q )
= ( hAPP @ E @ P ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(35,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OWhile @ F @ G @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I178_J_0) ).
thf(465,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OWhile @ F @ G @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(89,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I64_J_0) ).
thf(627,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OWhile @ D @ E @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(267,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XLAssRed__2__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) ) @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_I2_J_1) ).
thf(1157,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XLAssRed__2__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) ) @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(253,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OCond @ B @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E @ ( c_Expr_Oexp_OCond @ F @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
| ~ ( c_SmallStep_Oredp @ A @ B @ E @ F @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_redp__redsp_OCondRed_0) ).
thf(1126,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_SmallStep_Oredp @ A @ ( c_Expr_Oexp_OCond @ B @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ E @ ( c_Expr_Oexp_OCond @ F @ C @ D @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G )
| ~ ( c_SmallStep_Oredp @ A @ B @ E @ F @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(214,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OVal @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I93_J_0) ).
thf(1010,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OVal @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(2,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Othrow @ A @ B ) @ C @ B )
| ~ ( c_DefAss_O_092_060D_062 @ A @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I14_J_1) ).
thf(368,plain,
! [C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_Othrow @ A @ B ) @ C @ B )
| ~ ( c_DefAss_O_092_060D_062 @ A @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(337,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ B @ C @ A @ D @ E @ F @ G @ H ) ) @ D ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ H @ C @ ( c_Expr_Oexp_OTryCatch @ F @ B @ E @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I5_J_2) ).
thf(1316,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__5__1 @ B @ C @ A @ D @ E @ F @ G @ H ) ) @ D ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ H @ C @ ( c_Expr_Oexp_OTryCatch @ F @ B @ E @ G @ ( tc_List_Olist @ tc_String_Ochar ) ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(30,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I47_J_0) ).
thf(450,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(319,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OLAss @ F @ G @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I153_J_0) ).
thf(1276,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OLAss @ F @ G @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(342,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ~ ( c_WellTypeRT_OWTrt @ B @ C @ D @ ( c_Expr_Oexp_OLAss @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I1_J_0) ).
thf(1326,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( A = c_Type_Oty_OVoid )
| ~ ( c_WellTypeRT_OWTrt @ B @ C @ D @ ( c_Expr_Oexp_OLAss @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(198,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I102_J_0) ).
thf(961,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCall @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(177,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
| ( B = F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I10_J_1) ).
thf(896,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) )
| ( B = F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(230,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OVar @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I133_J_0) ).
thf(1062,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OVar @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(193,axiom,
c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ty_Osimps_I3_J_0) ).
thf(946,plain,
c_Type_Oty_OBoolean != c_Type_Oty_OVoid,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(98,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCast @ A @ B @ C ) @ D @ C )
| ~ ( c_DefAss_O_092_060D_062 @ B @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I2_J_1) ).
thf(652,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OCast @ A @ B @ C ) @ D @ C )
| ~ ( c_DefAss_O_092_060D_062 @ B @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( c_COMBI @ A @ B )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBI__def_0) ).
thf(401,plain,
! [B: $i,A: $i] :
( ( c_COMBI @ A @ B )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(140,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I108_J_0) ).
thf(781,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCond @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(209,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OVal @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I89_J_0) ).
thf(995,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OVal @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(77,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I190_J_0) ).
thf(588,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OWhile @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(309,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
| ~ ( c_Progress_OWTrt_H @ A @ C @ D @ E @ B )
| ~ ( c_Progress_OWTrt_H @ A @ C @ D @ F @ B )
| ~ ( c_Progress_OWTrt_H @ A @ C @ D @ G @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ A @ C @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt_H__WTrts_H_Ointros_I19_J_1) ).
thf(1253,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
| ~ ( c_Progress_OWTrt_H @ A @ C @ D @ E @ B )
| ~ ( c_Progress_OWTrt_H @ A @ C @ D @ F @ B )
| ~ ( c_Progress_OWTrt_H @ A @ C @ D @ G @ c_Type_Oty_OBoolean )
| ( c_Progress_OWTrt_H @ A @ C @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(114,axiom,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
| ( C = H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I8_J_2) ).
thf(699,plain,
! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OFAss @ F @ G @ H @ I @ E ) )
| ( C = H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(19,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I157_J_0) ).
thf(418,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OFAcc @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(142,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Onew @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I21_J_0) ).
thf(786,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Onew @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(50,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I49_J_0) ).
thf(510,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OCast @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(333,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ E @ B )
| ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ F @ B )
| ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ G @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ A @ C @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtCond_1) ).
thf(1308,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ A @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ B ) @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ E @ B )
| ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ F @ B )
| ~ ( c_WellTypeRT_OWTrt @ A @ C @ D @ G @ c_Type_Oty_OBoolean )
| ( c_WellTypeRT_OWTrt @ A @ C @ D @ ( c_Expr_Oexp_OCond @ G @ F @ E @ ( tc_List_Olist @ tc_String_Ochar ) ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(235,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I59_J_0) ).
thf(1077,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OCast @ E @ F @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(134,axiom,
! [B: $i,A: $i] : ( c_List_Olist__all2 @ ( c_fequal @ A ) @ B @ B @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list__all2__eq_0) ).
thf(763,plain,
! [B: $i,A: $i] : ( c_List_Olist__all2 @ ( c_fequal @ A ) @ B @ B @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(7,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OVar @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I72_J_0) ).
thf(383,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OVar @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(109,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I118_J_0) ).
thf(684,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OFAcc @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(63,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D ) @ E @ D )
| ~ ( c_DefAss_O_092_060D_062 @ A @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I7_J_1) ).
thf(549,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OFAcc @ A @ B @ C @ D ) @ E @ D )
| ~ ( c_DefAss_O_092_060D_062 @ A @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(269,axiom,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OSeq @ R @ S @ T ) @ U @ T @ V )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ K @ R ) @ S ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ U @ T @ V ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ U @ T @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I11_J_0) ).
thf(1161,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OSeq @ R @ S @ T ) @ U @ T @ V )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ K @ R ) @ S ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ U @ T @ V ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ U @ T @ V ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(249,axiom,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OWhile @ R @ S @ T ) @ U @ T @ V )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ M @ R ) @ S ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ U @ T @ V ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ U @ T @ V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I13_J_0) ).
thf(1116,plain,
! [V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OWhile @ R @ S @ T ) @ U @ T @ V )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ M @ R ) @ S ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ U @ T @ V ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ S @ U @ T @ V ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(256,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OLAss @ D @ E @ C ) )
| ( B = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I6_J_1) ).
thf(1133,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OLAss @ D @ E @ C ) )
| ( B = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(29,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVar @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I129_J_0) ).
thf(447,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVar @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(24,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OSeq @ D @ E @ C ) )
| ( A = D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I11_J_0) ).
thf(432,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OSeq @ D @ E @ C ) )
| ( A = D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(16,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OTryCatch @ A @ D @ E @ F @ C ) @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls__092_060D_062___092_060D_062s_Osimps_I15_J_0) ).
thf(410,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_DefAss_O_092_060D_062 @ A @ B @ C )
| ~ ( c_DefAss_O_092_060D_062 @ ( c_Expr_Oexp_OTryCatch @ A @ D @ E @ F @ C ) @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(331,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ tc_Type_Oty ) )
| ( c_WellTypeRT_OWTrt @ D @ E @ A @ ( c_Expr_Oexp_OLAss @ B @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ G ) @ C ) )
| ~ ( c_WellTypeRT_OWTrt @ D @ E @ A @ F @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrtLAss_0) ).
thf(1303,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( ( hAPP @ A @ B )
!= ( c_Option_Ooption_OSome @ C @ tc_Type_Oty ) )
| ( c_WellTypeRT_OWTrt @ D @ E @ A @ ( c_Expr_Oexp_OLAss @ B @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ c_Type_Oty_OVoid )
| ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ D @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ G ) @ C ) )
| ~ ( c_WellTypeRT_OWTrt @ D @ E @ A @ F @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(4,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_Othrow @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I40_J_0) ).
thf(373,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Onew @ A @ B )
!= ( c_Expr_Oexp_Othrow @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(184,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OVar @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I135_J_0) ).
thf(918,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OVar @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(336,axiom,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OWhile @ P @ Q @ R ) @ S @ R )
= ( hAPP @ ( hAPP @ M @ P ) @ Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I238_J_0) ).
thf(1314,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OWhile @ P @ Q @ R ) @ S @ R )
= ( hAPP @ ( hAPP @ M @ P ) @ Q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(228,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I107_J_0) ).
thf(1056,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OSeq @ A @ B @ C )
!= ( c_Expr_Oexp_OBinOp @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(231,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I122_J_0) ).
thf(1065,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(113,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Othrow @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I112_J_0) ).
thf(696,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Othrow @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(121,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I130_J_0) ).
thf(720,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OWhile @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(196,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I52_J_0) ).
thf(955,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(145,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I114_J_0) ).
thf(796,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBinOp @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(38,axiom,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OVal @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I91_J_0) ).
thf(474,plain,
! [C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Othrow @ A @ B )
!= ( c_Expr_Oexp_OVal @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(136,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_Map_Omap__le @ B @ A @ C @ D )
| ~ ( c_Map_Omap__le @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_map__le__antisym_0) ).
thf(767,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( A = B )
| ~ ( c_Map_Omap__le @ B @ A @ C @ D )
| ~ ( c_Map_Omap__le @ A @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(324,axiom,
! [B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_aa______ @ A @ v_e_Ha______ @ ( v_sko__local__XLAssRed__2__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_I2_J_0) ).
thf(1288,plain,
! [B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_aa______ @ A @ v_e_Ha______ @ ( v_sko__local__XLAssRed__2__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(285,axiom,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OLAss @ P @ Q @ R ) @ S @ R )
= ( hAPP @ ( hAPP @ F @ P ) @ Q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I231_J_0) ).
thf(1197,plain,
! [S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__case @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ ( c_Expr_Oexp_OLAss @ P @ Q @ R ) @ S @ R )
= ( hAPP @ ( hAPP @ F @ P ) @ Q ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(174,axiom,
! [C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OVal @ C @ B ) )
| ( A = C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I3_J_0) ).
thf(886,plain,
! [C: $i,B: $i,A: $i] :
( ( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OVal @ C @ B ) )
| ( A = C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(18,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I105_J_0) ).
thf(415,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(352,axiom,
! [B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_aa______ @ A @ v_e_Ha______ @ ( v_sko__CHAINED__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
thf(1352,plain,
! [B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ v_P @ v_aa______ @ A @ v_e_Ha______ @ ( v_sko__CHAINED__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(316,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ c_Type_Oty_OBoolean )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OCond @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I2_J_0) ).
thf(1268,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_WellTypeRT_OWTrt @ A @ B @ C @ D @ c_Type_Oty_OBoolean )
| ~ ( c_WellTypeRT_OWTrt @ A @ B @ C @ ( c_Expr_Oexp_OCond @ D @ E @ F @ ( tc_List_Olist @ tc_String_Ochar ) ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(56,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OVal @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I44_J_0) ).
thf(528,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OVal @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(33,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Onew @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I33_J_0) ).
thf(459,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_Onew @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(208,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I199_J_0) ).
thf(992,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCond @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBlock @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(122,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCall @ F @ G @ H @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I195_J_0) ).
thf(723,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OTryCatch @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCall @ F @ G @ H @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(154,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVar @ E @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I125_J_0) ).
thf(822,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OBlock @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OVar @ E @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(212,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I103_J_0) ).
thf(1004,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OBinOp @ E @ F @ G @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(329,axiom,
! [B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ A ) @ B ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
thf(1299,plain,
! [B: $i,A: $i] : ( hBOOL @ ( hAPP @ ( hAPP @ ( c_fequal @ A ) @ B ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(251,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I136_J_0) ).
thf(1120,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OLAss @ A @ B @ C )
!= ( c_Expr_Oexp_OFAcc @ D @ E @ F @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(47,axiom,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I194_J_0) ).
thf(501,plain,
! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCall @ A @ B @ C @ D )
!= ( c_Expr_Oexp_OTryCatch @ E @ F @ G @ H @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(11,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I128_J_0) ).
thf(395,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(88,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I86_J_0) ).
thf(624,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OCond @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(344,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I116_J_0) ).
thf(1331,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVar @ A @ B )
!= ( c_Expr_Oexp_OLAss @ C @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(42,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I54_J_0) ).
thf(486,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_OFAss @ D @ E @ F @ G @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(147,axiom,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_Onew @ F @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I29_J_0) ).
thf(803,plain,
! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_Onew @ F @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(339,axiom,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OBinOp @ R @ S @ T @ U ) @ V @ U @ W )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ D @ R ) @ S ) @ T ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ V @ U @ W ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ T @ V @ U @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Orecs_I4_J_0) ).
thf(1320,plain,
! [W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ ( c_Expr_Oexp_OBinOp @ R @ S @ T @ U ) @ V @ U @ W )
= ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ ( hAPP @ D @ R ) @ S ) @ T ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ V @ U @ W ) ) @ ( c_Expr_Oexp_Oexp__rec__1 @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ T @ V @ U @ W ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(280,axiom,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XLAssRed__Xhyps__2__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) ) @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_LAssRed_Ohyps_I2_J_1) ).
thf(1184,plain,
! [B: $i,A: $i] :
( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_TypeRel_Owiden @ v_P @ ( tc_prod @ ( tc_List_Olist @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Expr_Oexp @ ( tc_List_Olist @ tc_String_Ochar ) ) ) ) @ ( v_sko__local__XLAssRed__Xhyps__2__1 @ A @ v_P @ B @ v_aa______ @ v_e_Ha______ ) ) @ B ) )
| ~ ( c_WellTypeRT_OWTrt @ v_P @ v_a______ @ A @ v_ea______ @ B )
| ~ ( c_TypeSafe__Mirabelle_Osconf @ v_P @ A @ ( c_Pair @ v_a______ @ v_b______ @ ( tc_fun @ tc_nat @ ( tc_Option_Ooption @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_fun @ ( tc_prod @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_List_Olist @ tc_String_Ochar ) ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ) @ ( tc_fun @ ( tc_List_Olist @ tc_String_Ochar ) @ ( tc_Option_Ooption @ tc_Value_Oval ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(61,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I222_J_0) ).
thf(543,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OWhile @ A @ B @ C )
!= ( c_Expr_Oexp_OTryCatch @ D @ E @ F @ G @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(67,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I80_J_0) ).
thf(560,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OVal @ A @ B )
!= ( c_Expr_Oexp_OCall @ C @ D @ E @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(93,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_Othrow @ D @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I66_J_0) ).
thf(639,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OCast @ A @ B @ C )
!= ( c_Expr_Oexp_Othrow @ D @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(45,axiom,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCast @ F @ G @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_exp_Osimps_I55_J_0) ).
thf(496,plain,
! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( c_Expr_Oexp_OFAss @ A @ B @ C @ D @ E )
!= ( c_Expr_Oexp_OCast @ F @ G @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(1411,plain,
$false,
inference(cvc4,[status(thm)],[1322,809,1337,1369,846,909,893,1179,1168,760,1083,468,666,1295,977,582,1068,440,614,1041,1173,730,1290,873,1205,1142,379,1137,1310,814,1342,1354,930,1001,1243,709,1359,1366,436,1228,389,570,504,1264,1279,1191,1059,949,1379,1147,1247,421,1347,1232,817,902,1013,770,924,789,591,1373,1109,376,834,1151,806,1334,646,905,480,602,687,1377,866,453,774,660,998,1345,849,507,1215,634,428,1201,1074,439,678,1306,1199,1153,366,534,714,1163,546,793,1223,825,952,1255,1123,392,424,1238,1021,778,693,630,566,1032,879,852,1159,757,1281,456,974,1106,522,830,493,1210,551,1128,1143,1017,1096,869,1118,499,989,519,742,1270,1259,980,403,471,1329,1361,933,1182,537,669,642,637,489,1155,706,554,753,837,1324,1099,1150,1297,1266,654,1050,569,605,1318,1086,921,657,1071,1286,398,1035,412,1103,1273,856,745,573,444,733,513,430,819,1007,843,579,958,1226,1139,936,1371,1312,611,1092,1090,1224,540,672,764,1194,681,784,1349,649,900,406,1048,736,599,1376,863,1175,890,477,1080,1339,621,483,1029,964,915,943,1293,462,1112,799,726,1177,1381,983,883,608,986,1102,912,1171,1213,827,1044,1245,1113,563,1364,1250,675,1166,531,663,927,812,749,939,1145,1203,1208,617,516,968,1181,525,690,1025,971,739,1230,712,557,1053,1300,717,840,576,1130,1218,643,1188,1186,1038,585,370,1262,1235,1358,1257,703,386,595,876,859,1240,1221,1284,465,627,1157,1126,1010,368,1316,450,1276,1326,961,896,1062,946,652,401,781,995,588,1253,699,418,786,510,1308,1077,763,383,684,549,1161,1116,1133,447,432,410,1303,373,918,1314,1056,1065,696,720,955,796,474,767,1288,1197,886,415,1352,1268,528,459,992,723,822,1004,1299,1120,501,395,624,1331,486,803,1320,1184,543,560,639,496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV948-1 : TPTP v8.1.2. Released v4.1.0.
% 0.15/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n001.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 19 03:01:21 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.93/0.92 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.65/1.16 % [INFO] Parsing done (231ms).
% 1.65/1.17 % [INFO] Running in sequential loop mode.
% 2.25/1.42 % [INFO] eprover registered as external prover.
% 2.25/1.42 % [INFO] cvc4 registered as external prover.
% 2.25/1.43 % [INFO] Scanning for conjecture ...
% 2.67/1.54 % [INFO] Found a conjecture and 364 axioms. Running axiom selection ...
% 3.09/1.67 % [INFO] Axiom selection finished. Selected 364 axioms (removed 0 axioms).
% 3.61/1.80 % [INFO] Problem is propositional (TPTP CNF).
% 3.61/1.81 % [INFO] Type checking passed.
% 3.61/1.81 % [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 ...
% 11.08/3.48 % External prover 'cvc4' found a proof!
% 11.08/3.48 % [INFO] Killing All external provers ...
% 11.08/3.48 % Time passed: 2933ms (effective reasoning time: 2301ms)
% 11.08/3.48 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 11.08/3.48 % Axioms used in derivation (364): cls_option_Oinject_0, cls_exp_Osimps_I56_J_0, cls_exp_Osimps_I118_J_0, cls_exp_Osimps_I156_J_0, cls_exp_Osimps_I9_J_1, cls_WTSeq_0, cls_exp_Osimps_I92_J_0, cls_exp_Osimps_I184_J_0, cls_exp_Osimps_I195_J_0, cls_exp_Osimps_I103_J_0, cls_exp_Orecs_I1_J_0, cls_exp_Osimps_I218_J_0, cls_exp_Osimps_I213_J_0, cls_exp_Orecs_I12_J_0, cls_list__all2__eq_1, cls_exp_Osimps_I193_J_0, cls_exp_Osimps_I72_J_0, cls_exp_Osimps_I137_J_0, cls_exp_Osimps_I128_J_0, cls_map__le__trans_0, cls_exp_Osimps_I10_J_1, cls_exp_Osimps_I225_J_0, cls_exp_Osimps_I138_J_0, cls_exp_Osimps_I81_J_0, cls__092_060D_062___092_060D_062s_Osimps_I7_J_1, cls_exp_Osimps_I165_J_0, cls_exp_Osimps_I7_J_2, cls_redp__redsp_OSeqRed_0, cls_exp_Osimps_I204_J_0, cls_exp_Osimps_I219_J_0, cls_exp_Osimps_I149_J_0, cls_WT__elim__cases_I1_J_4, cls_exp_Osimps_I20_J_0, cls_CHAINED_0, cls_exp_Osimps_I42_J_0, cls_exp_Osimps_I190_J_0, cls_exp_Osimps_I221_J_0, cls_WTrtCond_0, cls_exp_Osimps_I15_J_1, cls_LAssRed_I3_J_0, cls_WTrt__elim__cases_I1_J_1, cls_exp_Osimps_I227_J_0, cls_exp_Osimps_I11_J_0, cls_WTrt_H__WTrts_H_Ointros_I7_J_0, cls_exp_Osimps_I28_J_0, cls_exp_Osimps_I115_J_0, cls_exp_Orecs_I4_J_0, cls_exp_Osimps_I25_J_0, cls__092_060D_062___092_060D_062s_Osimps_I15_J_0, cls_exp_Osimps_I36_J_0, cls__092_060D_062___092_060D_062s_Osimps_I6_J_1, cls_exp_Osimps_I22_J_0, cls_exp_Osimps_I19_J_0, cls_exp_Osimps_I211_J_0, cls_WTLAss_0, cls_WTCond_2, cls_exp_Osimps_I13_J_0, cls_exp_Osimps_I154_J_0, cls_exp_Osimps_I199_J_0, cls_WTrt_H__elim__cases_0, cls_COMBI__def__raw_0, cls_exp_Osimps_I185_J_0, cls_exp_Osimps_I141_J_0, cls_exp_Osimps_I49_J_0, cls_exp_Osimps_I109_J_0, cls_exp_Osimps_I97_J_0, cls_exp_Osimps_I238_J_0, cls_exp_Osimps_I170_J_0, cls_exp_Osimps_I208_J_0, cls_exp_Osimps_I188_J_0, cls_exp_Osimps_I212_J_0, cls_exp_Orecs_I14_J_0, cls_exp_Osimps_I178_J_0, cls_exp_Osimps_I2_J_1, cls_exp_Osimps_I8_J_3, cls_exp_Osimps_I79_J_0, cls_exp_Osimps_I206_J_0, cls_exp_Osimps_I194_J_0, cls_exp_Osimps_I223_J_0, cls_exp_Osimps_I233_J_0, cls_exp_Osimps_I11_J_1, cls_widens__trans_0, cls_exp_Osimps_I40_J_0, cls_exp_Osimps_I124_J_0, cls_WTrt_H__WTrts_H_Ointros_I19_J_2, cls_exp_Osimps_I226_J_0, cls_exp_Osimps_I4_J_1, cls_exp_Osimps_I171_J_0, cls__092_060D_062___092_060D_062s_Osimps_I4_J_0, cls_exp_Osimps_I157_J_0, cls_exp_Osimps_I113_J_0, cls_exp_Osimps_I236_J_0, cls_exp_Osimps_I136_J_0, cls_exp_Osimps_I175_J_0, cls_exp_Orecs_I8_J_0, cls_exp_Osimps_I231_J_0, cls_WTrt__elim__cases_I5_J_2, cls_exp_Osimps_I4_J_0, cls_widen__refl_0, cls_exp_Osimps_I5_J_0, cls_exp_Osimps_I17_J_0, cls_exp_Orecs_I5_J_0, cls_hext__trans_0, cls__092_060D_062___092_060D_062s_Osimps_I2_J_0, cls_exp_Osimps_I160_J_0, cls_exp_Osimps_I228_J_0, cls_exp_Osimps_I84_J_0, cls_exp_Osimps_I67_J_0, cls_exp_Osimps_I131_J_0, cls_exp_Osimps_I116_J_0, cls_hext__refl_0, cls_exp_Osimps_I29_J_0, cls__092_060D_062___092_060D_062s_Osimps_I12_J_0, cls_exp_Osimps_I21_J_0, cls_exp_Osimps_I142_J_0, cls_exp_Osimps_I24_J_0, cls_exp_Osimps_I74_J_0, cls_exp_Osimps_I110_J_0, cls_exp_Osimps_I229_J_0, cls_exp_Osimps_I205_J_0, cls_exp_Osimps_I209_J_0, cls_LAssRed_I2_J_1, cls_exp_Osimps_I123_J_0, cls_exp_Osimps_I134_J_0, cls_exp_Osimps_I9_J_0, cls_exp_Osimps_I85_J_0, cls_exp_Osimps_I176_J_0, cls_LAssRed_Ohyps_I2_J_0, cls__092_060D_062___092_060D_062s_Osimps_I7_J_0, cls_exp_Osimps_I146_J_0, cls_exp_Osimps_I174_J_0, cls_widens__refl_0, cls_ty_Osimps_I3_J_0, cls_conf__widen_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_Orecs_I10_J_0, cls_exp_Osimps_I143_J_0, cls_redp__redsp_OTryRed_0, cls_exp_Osimps_I148_J_0, cls_map__le__refl_0, cls_exp_Osimps_I99_J_0, cls_WTrt__hext__mono_0, cls_exp_Osimps_I23_J_0, cls__092_060D_062___092_060D_062s_Osimps_I1_J_0, cls_exp_Osimps_I46_J_0, cls_CHAINED_0_01, cls_exp_Osimps_I69_J_0, cls_exp_Orecs_I13_J_0, cls_WTrt__env__mono_0, cls_exp_Osimps_I180_J_0, cls_exp_Osimps_I239_J_0, cls_exp_Osimps_I132_J_0, cls_exp_Osimps_I77_J_0, cls_exp_Osimps_I98_J_0, cls_exp_Osimps_I61_J_0, cls_exp_Osimps_I15_J_0, cls_exp_Osimps_I183_J_0, cls_exp_Osimps_I26_J_0, cls_exp_Osimps_I207_J_0, cls_exp_Osimps_I83_J_0, cls_exp_Osimps_I2_J_0, cls_exp_Osimps_I12_J_2, cls_exp_Osimps_I8_J_2, cls_exp_Osimps_I177_J_0, cls_ATP__Linkup_Ofequal__imp__equal_0, cls_exp_Osimps_I76_J_0, cls_exp_Osimps_I70_J_0, cls_exp_Osimps_I27_J_0, cls_exp_Osimps_I89_J_0, cls_exp_Osimps_I159_J_0, cls_WTrt__elim__cases_I1_J_3, cls_exp_Orecs_I7_J_0, cls_exp_Osimps_I62_J_0, cls_exp_Osimps_I186_J_0, cls_exp_Osimps_I210_J_0, cls_exp_Osimps_I105_J_0, cls_exp_Osimps_I220_J_0, cls_exp_Osimps_I112_J_0, cls_exp_Osimps_I60_J_0, cls_exp_Osimps_I122_J_0, cls_exp_Osimps_I162_J_0, cls_exp_Osimps_I135_J_0, cls__092_060D_062___092_060D_062s_Osimps_I2_J_1, cls_exp_Osimps_I158_J_0, cls_exp_Osimps_I15_J_3, cls_exp_Osimps_I169_J_0, cls_exp_Osimps_I201_J_0, cls_exp_Osimps_I166_J_0, cls_exp_Orecs_I3_J_0, cls_WTrt__elim__cases_I1_J_2, cls_exp_Osimps_I55_J_0, cls_exp_Osimps_I47_J_0, cls_exp_Osimps_I7_J_1, cls_WTrtSeq_0, cls_exp_Orecs_I6_J_0, cls_exp_Osimps_I189_J_0, cls_exp_Osimps_I75_J_0, cls_exp_Osimps_I224_J_0, cls_exp_Osimps_I101_J_0, cls_exp_Osimps_I102_J_0, cls_exp_Osimps_I30_J_0, cls_LAssRed_I4_J_0, cls_WT__elim__cases_I1_J_0, cls_exp_Osimps_I80_J_0, cls_exp_Osimps_I16_J_0, cls_exp_Osimps_I1_J_0, cls_exp_Osimps_I145_J_0, cls_exp_Osimps_I59_J_0, cls_Pair__eq_0, cls_exp_Osimps_I129_J_0, cls_exp_Osimps_I35_J_0, cls_exp_Osimps_I39_J_0, cls_WTrt_H__WTrts_H_Ointros_I19_J_0, cls_exp_Osimps_I182_J_0, cls_WT__implies__WTrt_0, cls__092_060D_062___092_060D_062s_Osimps_I14_J_1, cls_WTrt__elim__cases_I2_J_0, cls_exp_Osimps_I133_J_0, cls_redp__redsp_OCondRed_0, cls_exp_Osimps_I68_J_0, cls_map__le__antisym_0, cls_exp_Osimps_I4_J_2, cls_exp_Osimps_I114_J_0, cls_exp_Osimps_I121_J_0, cls_exp_Osimps_I216_J_0, cls_exp_Osimps_I203_J_0, cls_exp_Osimps_I235_J_0, cls_exp_Osimps_I57_J_0, cls_exp_Osimps_I41_J_0, cls_LAssRed_Ohyps_I2_J_1, cls_exp_Osimps_I230_J_0, cls_WTrt_H__WTrts_H_Ointros_I18_J_0, cls_exp_Osimps_I191_J_0, cls_exp_Osimps_I215_J_0, cls_WTCond_0, cls_exp_Osimps_I93_J_0, cls_WTrt_H__WTrts_H_Ointros_I4_J_0, cls_exp_Osimps_I53_J_0, cls_exp_Osimps_I73_J_0, cls_exp_Osimps_I126_J_0, cls_exp_Osimps_I152_J_0, cls_exp_Osimps_I50_J_0, cls_exp_Osimps_I95_J_0, cls_exp_Osimps_I117_J_0, cls_exp_Osimps_I179_J_0, cls_conf__hext_0, cls_exp_Osimps_I54_J_0, cls_exp_Osimps_I86_J_0, cls_CHAINED_0_02, 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_Orecs_I11_J_0, cls_exp_Osimps_I58_J_0, cls_exp_Osimps_I106_J_0, cls_wt_H__wt_0, cls_exp_Osimps_I127_J_0, cls_exp_Osimps_I66_J_0, cls_exp_Osimps_I34_J_0, cls_exp_Osimps_I6_J_0, cls_exp_Osimps_I108_J_0, cls_exp_Osimps_I222_J_0, cls_exp_Osimps_I90_J_0, cls_widen__trans_0, cls_LAssRed_I2_J_0, cls_exp_Osimps_I155_J_0, cls_exp_Osimps_I232_J_0, cls_exp_Osimps_I71_J_0, cls_exp_Osimps_I12_J_1, cls_exp_Osimps_I82_J_0, cls_WT__elim__cases_I5_J_0, cls_exp_Osimps_I125_J_0, cls__092_060D_062___092_060D_062s_Osimps_I8_J_0, cls_exp_Osimps_I14_J_0, cls_exp_Osimps_I107_J_0, cls_exp_Osimps_I167_J_0, cls__092_060D_062___092_060D_062s_Osimps_I11_J_0, cls_exp_Osimps_I161_J_0, cls_exp_Osimps_I120_J_0, cls_exp_Osimps_I9_J_2, cls_exp_Osimps_I7_J_0, cls_exp_Osimps_I217_J_0, cls_ATP__Linkup_Oequal__imp__fequal_0, cls_exp_Osimps_I153_J_0, cls_exp_Osimps_I45_J_0, cls_exp_Osimps_I8_J_0, cls_exp_Osimps_I192_J_0, cls_exp_Osimps_I151_J_0, cls__092_060D_062___092_060D_062s_Osimps_I14_J_0, cls_exp_Osimps_I44_J_0, cls_exp_Osimps_I18_J_0, cls_exp_Osimps_I164_J_0, cls_exp_Osimps_I32_J_0, cls_exp_Osimps_I6_J_1, cls_exp_Osimps_I65_J_0, cls_exp_Osimps_I51_J_0, cls_WTrt__elim__cases_I1_J_0, cls__092_060D_062___092_060D_062s_Osimps_I3_J_0, cls_WTVar_0, cls_exp_Osimps_I52_J_0, cls_exp_Osimps_I187_J_0, cls_exp_Osimps_I15_J_2, cls_list__all2__eq_0, cls_exp_Osimps_I10_J_0, cls_wt__env__mono_0, cls_WTrt__elim__cases_I5_J_0, cls_exp_Osimps_I111_J_0, cls_ty_Osimps_I2_J_0, cls_exp_Osimps_I130_J_0, cls_exp_Osimps_I31_J_0, cls_exp_Osimps_I64_J_0, cls_exp_Osimps_I88_J_0, cls_WTrtCond_1, cls_exp_Osimps_I96_J_0, cls_wt__wt_H_0, cls_CHAINED_0_03, cls_exp_Osimps_I91_J_0, cls_exp_Osimps_I234_J_0, cls_exp_Osimps_I181_J_0, cls_exp_Osimps_I200_J_0, cls_exp_Osimps_I196_J_0, cls_WT__elim__cases_I2_J_0, cls_exp_Osimps_I214_J_0, cls_exp_Osimps_I168_J_0, cls_exp_Orecs_I2_J_0, cls_exp_Osimps_I119_J_0, cls_WTrtCond_2, cls_exp_Osimps_I63_J_0, cls_redp__redsp_OLAssRed_0, cls_exp_Osimps_I140_J_0, cls_exp_Osimps_I87_J_0, cls_COMBI__def_0, cls_WTrt_H__WTrts_H_Ointros_I19_J_1, cls_WTrtLAss_0, cls__092_060D_062___092_060D_062s_Osimps_I9_J_0, cls_exp_Osimps_I78_J_0, cls_exp_Osimps_I198_J_0, cls_exp_Osimps_I202_J_0, cls_exp_Osimps_I94_J_0, cls_exp_Osimps_I12_J_0, cls_Pair__eq_1, cls_exp_Osimps_I33_J_0, cls_exp_Osimps_I100_J_0, cls_exp_Osimps_I163_J_0, cls_exp_Osimps_I173_J_0, cls_exp_Osimps_I48_J_0, cls_exp_Osimps_I104_J_0, cls__092_060D_062___092_060D_062s_Osimps_I13_J_0, cls_exp_Orecs_I15_J_0, cls_exp_Osimps_I240_J_0, cls_exp_Osimps_I38_J_0, cls_exp_Osimps_I147_J_0, cls_exp_Osimps_I3_J_0, cls_exp_Osimps_I197_J_0, cls__092_060D_062___092_060D_062s_Osimps_I6_J_0, cls_exp_Osimps_I237_J_0, cls_WTrtVar_0, cls_WTCond_1, cls_exp_Osimps_I13_J_1
% 11.08/3.48 % No. of inferences in proof: 731
% 11.08/3.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2933 ms resp. 2301 ms w/o parsing
% 11.77/3.68 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.77/3.69 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------