%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW874+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 Sep  1 00:22:32 EDT 2023

% Result   : Theorem 0.60s 0.81s
% Output   : Proof 0.60s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem    : SWW874+1 : TPTP v8.1.2. Released v7.3.0.
% 0.08/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.32  % Computer : n024.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sun Aug 27 21:50:08 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.18/0.44  %----Proving TF0_NAR, FOF, or CNF
% 0.60/0.81  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.RfKU5SgbrD/cvc5---1.0.5_22532.p...
% 0.60/0.81  ------- get file name : TPTP file name is SWW874+1
% 0.60/0.81  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22532.smt2...
% 0.60/0.81  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.60/0.81  % SZS status Theorem for SWW874+1
% 0.60/0.81  % SZS output start Proof for SWW874+1
% 0.60/0.81  (
% 0.60/0.81  (let ((_let_1 (forall ((V_27decls1_27 $$unsorted) (V_27decls2_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27decls2_27))) (let ((_let_2 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27decls1_27))) (= (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2eenvRel_2econvert__decls_27__01 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2eappend__decls_27__02 _let_2 _let_1)))) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2eunion__decls_27__02 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2eenvRel_2econvert__decls_27__01 _let_2)) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2eenvRel_2econvert__decls_27__01 _let_1)))))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((V_27idecls_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27idecls_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2))) (let ((_let_4 (tptp.c_27type_2elist_2elist_27__01 _let_3))) (let ((_let_5 (tptp.cfun__02 _let_3 tptp.cbool__00))) (let ((_let_6 (tptp.cfun__02 _let_5 _let_5))) (let ((_let_7 (tptp.c_27type_2elist_2elist_27__01 _let_2))) (let ((_let_8 (tptp.cfun__02 _let_7 tptp.cbool__00))) (= (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2eenvRel_2econvert__decls_27__01 _let_1)) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__mods__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_8 _let_8) (tptp.c_27const_2ecombin_2eK_27__01 (tptp.s__02 _let_8 (tptp.c_27const_2elist_2eLIST__TO__SET_27__01 (tptp.s__02 (tptp.c_27type_2elist_2elist_27__01 _let_7) (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods_27__01 _let_1)))))) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__types__fupd_27__02 (tptp.s__02 _let_6 (tptp.c_27const_2ecombin_2eK_27__01 (tptp.s__02 _let_5 (tptp.c_27const_2elist_2eLIST__TO__SET_27__01 (tptp.s__02 _let_4 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types_27__01 _let_1)))))) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__exns__fupd_27__02 (tptp.s__02 _let_6 (tptp.c_27const_2ecombin_2eK_27__01 (tptp.s__02 _let_5 (tptp.c_27const_2elist_2eLIST__TO__SET_27__01 (tptp.s__02 _let_4 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 _let_1)))))) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 tptp.c_27const_2ebool_2eARB_27__00))))))))))))))))))) (let ((_let_4 (forall ((V_27idecls1_27 $$unsorted) (V_27idecls2_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27idecls2_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2)))) (let ((_let_4 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27idecls1_27))) (let ((_let_5 (tptp.cfun__02 _let_3 _let_3))) (let ((_let_6 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2elist_2elist_27__01 _let_2)))) (= (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2eappend__decls_27__02 _let_4 _let_1)) (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_6 _let_6) (tptp.c_27const_2ecombin_2eK_27__01 (tptp.s__02 _let_6 (tptp.c_27const_2elist_2eAPPEND_27__02 (tptp.s__02 _let_6 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods_27__01 _let_4)) (tptp.s__02 _let_6 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods_27__01 _let_1)))))) (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types__fupd_27__02 (tptp.s__02 _let_5 (tptp.c_27const_2ecombin_2eK_27__01 (tptp.s__02 _let_3 (tptp.c_27const_2elist_2eAPPEND_27__02 (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types_27__01 _let_4)) (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types_27__01 _let_1)))))) (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns__fupd_27__02 (tptp.s__02 _let_5 (tptp.c_27const_2ecombin_2eK_27__01 (tptp.s__02 _let_3 (tptp.c_27const_2elist_2eAPPEND_27__02 (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 _let_4)) (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 _let_1)))))) (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 tptp.c_27const_2ebool_2eARB_27__00))))))))))))))))) (let ((_let_5 (forall ((V_27i_27 $$unsorted) (V_27f_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27i_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2)))) (let ((_let_4 (tptp.s__02 (tptp.cfun__02 _let_3 _let_3) V_27f_27))) (= (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns__fupd_27__02 _let_4 _let_1)))) (tptp.s__02 _let_3 (tptp.chapp__02 _let_4 (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 _let_1)))))))))))) (let ((_let_6 (forall ((V_27i_27 $$unsorted) (V_27f_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27i_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2)))) (let ((_let_4 (tptp.s__02 (tptp.cfun__02 _let_3 _let_3) V_27f_27))) (= (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types_27__01 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types__fupd_27__02 _let_4 _let_1)))) (tptp.s__02 _let_3 (tptp.chapp__02 _let_4 (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types_27__01 _let_1)))))))))))) (let ((_let_7 (forall ((V_27i_27 $$unsorted) (V_27f_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27i_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))))) (let ((_let_3 (tptp.s__02 (tptp.cfun__02 _let_2 _let_2) V_27f_27))) (= (tptp.s__02 _let_2 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods_27__01 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods__fupd_27__02 _let_3 _let_1)))) (tptp.s__02 _let_2 (tptp.chapp__02 _let_3 (tptp.s__02 _let_2 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods_27__01 _let_1))))))))))) (let ((_let_8 (forall ((V_27i_27 $$unsorted) (V_27f_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27i_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2)))) (= (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_3 _let_3) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 _let_1))))))))) (let ((_let_9 (forall ((V_27i_27 $$unsorted) (V_27f_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27i_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2)))) (let ((_let_4 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2elist_2elist_27__01 _let_2)))) (= (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_4 _let_4) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 _let_1)))))))))) (let ((_let_10 (forall ((V_27i_27 $$unsorted) (V_27f_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27i_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2)))) (let ((_let_4 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2elist_2elist_27__01 _let_2)))) (= (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types_27__01 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_4 _let_4) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types_27__01 _let_1)))))))))) (let ((_let_11 (and (forall ((V_27i_27 $$unsorted) (V_27f_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27i_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2elist_2elist_27__01 _let_2)))) (let ((_let_4 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2)))) (= (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods_27__01 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_4 _let_4) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods_27__01 _let_1)))))))) (forall ((V_27i_27 $$unsorted) (V_27f_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27i_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2elist_2elist_27__01 _let_2)))) (let ((_let_4 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2)))) (= (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods_27__01 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_4 _let_4) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__mods_27__01 _let_1)))))))) _let_10 (forall ((V_27i_27 $$unsorted) (V_27f_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 V_27i_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2)))) (= (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types_27__01 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_3 _let_3) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2einfer_2einf__decls__inf__defined__types_27__01 _let_1))))))) _let_9 _let_8 _let_7 _let_6 _let_5))) (let ((_let_12 (forall ((V_27d1_27 $$unsorted) (V_27d2_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d2_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.cfun__02 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2) tptp.cbool__00))) (let ((_let_4 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d1_27))) (let ((_let_5 (tptp.cfun__02 _let_3 _let_3))) (let ((_let_6 (tptp.cfun__02 (tptp.c_27type_2elist_2elist_27__01 _let_2) tptp.cbool__00))) (= (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2eunion__decls_27__02 _let_4 _let_1)) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__mods__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_6 _let_6) (tptp.c_27const_2ecombin_2eK_27__01 (tptp.s__02 _let_6 (tptp.c_27const_2epred__set_2eUNION_27__02 (tptp.s__02 _let_6 (tptp.c_27const_2etypeSystem_2edecls__defined__mods_27__01 _let_4)) (tptp.s__02 _let_6 (tptp.c_27const_2etypeSystem_2edecls__defined__mods_27__01 _let_1)))))) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__types__fupd_27__02 (tptp.s__02 _let_5 (tptp.c_27const_2ecombin_2eK_27__01 (tptp.s__02 _let_3 (tptp.c_27const_2epred__set_2eUNION_27__02 (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__types_27__01 _let_4)) (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__types_27__01 _let_1)))))) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__exns__fupd_27__02 (tptp.s__02 _let_5 (tptp.c_27const_2ecombin_2eK_27__01 (tptp.s__02 _let_3 (tptp.c_27const_2epred__set_2eUNION_27__02 (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__exns_27__01 _let_4)) (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__exns_27__01 _let_1)))))) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 tptp.c_27const_2ebool_2eARB_27__00))))))))))))))))) (let ((_let_13 (forall ((V_27f_27 $$unsorted) (V_27d_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.cfun__02 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2) tptp.cbool__00))) (let ((_let_4 (tptp.s__02 (tptp.cfun__02 _let_3 _let_3) V_27f_27))) (= (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__exns_27__01 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__exns__fupd_27__02 _let_4 _let_1)))) (tptp.s__02 _let_3 (tptp.chapp__02 _let_4 (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__exns_27__01 _let_1)))))))))))) (let ((_let_14 (forall ((V_27f_27 $$unsorted) (V_27d_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.cfun__02 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2) tptp.cbool__00))) (let ((_let_4 (tptp.s__02 (tptp.cfun__02 _let_3 _let_3) V_27f_27))) (= (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__types_27__01 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__types__fupd_27__02 _let_4 _let_1)))) (tptp.s__02 _let_3 (tptp.chapp__02 _let_4 (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__types_27__01 _let_1)))))))))))) (let ((_let_15 (forall ((V_27f_27 $$unsorted) (V_27d_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d_27))) (let ((_let_2 (tptp.cfun__02 (tptp.c_27type_2elist_2elist_27__01 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00)) tptp.cbool__00))) (let ((_let_3 (tptp.s__02 (tptp.cfun__02 _let_2 _let_2) V_27f_27))) (= (tptp.s__02 _let_2 (tptp.c_27const_2etypeSystem_2edecls__defined__mods_27__01 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__mods__fupd_27__02 _let_3 _let_1)))) (tptp.s__02 _let_2 (tptp.chapp__02 _let_3 (tptp.s__02 _let_2 (tptp.c_27const_2etypeSystem_2edecls__defined__mods_27__01 _let_1))))))))))) (let ((_let_16 (forall ((V_27f_27 $$unsorted) (V_27d_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.cfun__02 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2) tptp.cbool__00))) (= (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__exns_27__01 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__types__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_3 _let_3) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__exns_27__01 _let_1))))))))) (let ((_let_17 (forall ((V_27f_27 $$unsorted) (V_27d_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.cfun__02 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2) tptp.cbool__00))) (let ((_let_4 (tptp.cfun__02 (tptp.c_27type_2elist_2elist_27__01 _let_2) tptp.cbool__00))) (= (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__exns_27__01 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__mods__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_4 _let_4) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__exns_27__01 _let_1)))))))))) (let ((_let_18 (forall ((V_27f_27 $$unsorted) (V_27d_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.cfun__02 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2) tptp.cbool__00))) (= (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__types_27__01 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__exns__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_3 _let_3) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__types_27__01 _let_1))))))))) (let ((_let_19 (forall ((V_27f_27 $$unsorted) (V_27d_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.cfun__02 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2) tptp.cbool__00))) (let ((_let_4 (tptp.cfun__02 (tptp.c_27type_2elist_2elist_27__01 _let_2) tptp.cbool__00))) (= (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__types_27__01 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__mods__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_4 _let_4) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__types_27__01 _let_1)))))))))) (let ((_let_20 (forall ((V_27f_27 $$unsorted) (V_27d_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.cfun__02 (tptp.c_27type_2elist_2elist_27__01 _let_2) tptp.cbool__00))) (let ((_let_4 (tptp.cfun__02 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2) tptp.cbool__00))) (= (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__mods_27__01 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__exns__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_4 _let_4) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__mods_27__01 _let_1)))))))))) (let ((_let_21 (forall ((V_27f_27 $$unsorted) (V_27d_27 $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 V_27d_27))) (let ((_let_2 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_3 (tptp.cfun__02 (tptp.c_27type_2elist_2elist_27__01 _let_2) tptp.cbool__00))) (let ((_let_4 (tptp.cfun__02 (tptp.c_27type_2enamespace_2eid_27__02 _let_2 _let_2) tptp.cbool__00))) (= (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__mods_27__01 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__types__fupd_27__02 (tptp.s__02 (tptp.cfun__02 _let_4 _let_4) V_27f_27) _let_1)))) (tptp.s__02 _let_3 (tptp.c_27const_2etypeSystem_2edecls__defined__mods_27__01 _let_1)))))))))) (let ((_let_22 (and _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13))) (let ((_let_23 (forall ((V_27A_27 $$unsorted) (V_27l1_27 $$unsorted) (V_27l2_27 $$unsorted)) (let ((_let_1 (tptp.c_27type_2elist_2elist_27__01 V_27A_27))) (let ((_let_2 (tptp.s__02 _let_1 V_27l2_27))) (let ((_let_3 (tptp.cfun__02 V_27A_27 tptp.cbool__00))) (let ((_let_4 (tptp.s__02 _let_1 V_27l1_27))) (= (tptp.s__02 _let_3 (tptp.c_27const_2elist_2eLIST__TO__SET_27__01 (tptp.s__02 _let_1 (tptp.c_27const_2elist_2eAPPEND_27__02 _let_4 _let_2)))) (tptp.s__02 _let_3 (tptp.c_27const_2epred__set_2eUNION_27__02 (tptp.s__02 _let_3 (tptp.c_27const_2elist_2eLIST__TO__SET_27__01 _let_4)) (tptp.s__02 _let_3 (tptp.c_27const_2elist_2eLIST__TO__SET_27__01 _let_2)))))))))))) (let ((_let_24 (forall ((V_27B_27 $$unsorted) (V_27A_27 $$unsorted) (V_27x_27 $$unsorted) (V_27y_27 $$unsorted)) (let ((_let_1 (tptp.s__02 V_27A_27 V_27x_27))) (= (tptp.s__02 V_27A_27 (tptp.chapp__02 (tptp.s__02 (tptp.cfun__02 V_27B_27 V_27A_27) (tptp.c_27const_2ecombin_2eK_27__01 _let_1)) (tptp.s__02 V_27B_27 V_27y_27))) _let_1))))) (let ((_let_25 (tptp.p__01 (tptp.s__02 tptp.cbool__00 tptp.cT__00)))) (let ((_let_26 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_27 (tptp.c_27const_2eenvRel_2econvert__decls_27__01 _let_26))) (let ((_let_28 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 _let_27))) (let ((_let_29 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_30 (tptp.c_27const_2eenvRel_2econvert__decls_27__01 _let_29))) (let ((_let_31 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 _let_30))) (let ((_let_32 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2eunion__decls_27__02 _let_31 _let_28)))) (let ((_let_33 (tptp.c_27const_2einfer_2eappend__decls_27__02 _let_29 _let_26))) (let ((_let_34 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 _let_33))) (let ((_let_35 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2eenvRel_2econvert__decls_27__01 _let_34)))) (let ((_let_36 (= _let_35 _let_32))) (let ((_let_37 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 tptp.c_27const_2ebool_2eARB_27__00))) (let ((_let_38 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_39 (tptp.c_27type_2enamespace_2eid_27__02 _let_38 _let_38))) (let ((_let_40 (tptp.cfun__02 _let_39 tptp.cbool__00))) (let ((_let_41 (tptp.c_27const_2epred__set_2eUNION_27__02 (tptp.s__02 _let_40 (tptp.c_27const_2etypeSystem_2edecls__defined__exns_27__01 _let_31)) (tptp.s__02 _let_40 (tptp.c_27const_2etypeSystem_2edecls__defined__exns_27__01 _let_28))))) (let ((_let_42 (tptp.s__02 _let_40 _let_41))) (let ((_let_43 (tptp.c_27const_2ecombin_2eK_27__01 _let_42))) (let ((_let_44 (tptp.cfun__02 _let_40 _let_40))) (let ((_let_45 (tptp.s__02 _let_44 _let_43))) (let ((_let_46 (tptp.c_27const_2etypeSystem_2edecls__defined__exns__fupd_27__02 _let_45 _let_37))) (let ((_let_47 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 _let_46))) (let ((_let_48 (tptp.c_27const_2epred__set_2eUNION_27__02 (tptp.s__02 _let_40 (tptp.c_27const_2etypeSystem_2edecls__defined__types_27__01 _let_31)) (tptp.s__02 _let_40 (tptp.c_27const_2etypeSystem_2edecls__defined__types_27__01 _let_28))))) (let ((_let_49 (tptp.s__02 _let_40 _let_48))) (let ((_let_50 (tptp.c_27const_2ecombin_2eK_27__01 _let_49))) (let ((_let_51 (tptp.s__02 _let_44 _let_50))) (let ((_let_52 (tptp.c_27const_2etypeSystem_2edecls__defined__types__fupd_27__02 _let_51 _let_47))) (let ((_let_53 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 _let_52))) (let ((_let_54 (tptp.c_27type_2elist_2elist_27__01 _let_38))) (let ((_let_55 (tptp.cfun__02 _let_54 tptp.cbool__00))) (let ((_let_56 (tptp.c_27const_2epred__set_2eUNION_27__02 (tptp.s__02 _let_55 (tptp.c_27const_2etypeSystem_2edecls__defined__mods_27__01 _let_31)) (tptp.s__02 _let_55 (tptp.c_27const_2etypeSystem_2edecls__defined__mods_27__01 _let_28))))) (let ((_let_57 (tptp.s__02 _let_55 _let_56))) (let ((_let_58 (tptp.c_27const_2ecombin_2eK_27__01 _let_57))) (let ((_let_59 (tptp.cfun__02 _let_55 _let_55))) (let ((_let_60 (tptp.s__02 _let_59 _let_58))) (let ((_let_61 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__mods__fupd_27__02 _let_60 _let_53)))) (let ((_let_62 (= _let_32 _let_61))) (let ((_let_63 (tptp.s__02 tptp.c_27type_2einfer_2einf__decls_27__00 tptp.c_27const_2ebool_2eARB_27__00))) (let ((_let_64 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 _let_26))) (let ((_let_65 (tptp.c_27type_2elist_2elist_27__01 _let_39))) (let ((_let_66 (tptp.s__02 _let_65 _let_64))) (let ((_let_67 (tptp.c_27const_2einfer_2einf__decls__inf__defined__exns_27__01 _let_29))) (let ((_let_68 (tptp.s__02 _let_65 _let_67))) (let 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false _let_207 false _let_206 false _let_205 false _let_204 false _let_202 false _let_201 false _let_200 false _let_199 false _let_197 false _let_195 false _let_193 false _let_191 false _let_189 false _let_187 false _let_185 false _let_183 false _let_181 false _let_179 false _let_175 false _let_173 false _let_171 false _let_169 false _let_168 false _let_167 false _let_166 false _let_164 false _let_161 false _let_158 false _let_155 false _let_151 false _let_150 false _let_149 false _let_148 false _let_133 false _let_115 false _let_97 false _let_62 true _let_36)) :args (_let_25 (not (tptp.p__01 (tptp.s__02 tptp.cbool__00 tptp.cF__00))) (forall ((Vt $$unsorted)) (let ((_let_1 (tptp.s__02 tptp.cbool__00 Vt))) (or (= _let_1 (tptp.s__02 tptp.cbool__00 tptp.cT__00)) (= _let_1 (tptp.s__02 tptp.cbool__00 tptp.cF__00))))) (forall ((V_3f2384 $$unsorted) (V_3f2380 $$unsorted) (Vf $$unsorted) (Vg $$unsorted)) (let ((_let_1 (tptp.cfun__02 V_3f2384 V_3f2380))) (=> (forall ((Vx $$unsorted)) (let ((_let_1 (tptp.s__02 V_3f2384 Vx))) (let ((_let_2 (tptp.cfun__02 V_3f2384 V_3f2380))) (= (tptp.s__02 V_3f2380 (tptp.chapp__02 (tptp.s__02 _let_2 Vf) _let_1)) (tptp.s__02 V_3f2380 (tptp.chapp__02 (tptp.s__02 _let_2 Vg) _let_1)))))) (= (tptp.s__02 _let_1 Vf) (tptp.s__02 _let_1 Vg))))) _let_25 (forall ((V_27t_27 $$unsorted)) (let ((_let_1 (tptp.p__01 (tptp.s__02 tptp.cbool__00 V_27t_27)))) (let ((_let_2 (tptp.p__01 (tptp.s__02 tptp.cbool__00 tptp.cF__00)))) (let ((_let_3 (tptp.p__01 (tptp.s__02 tptp.cbool__00 tptp.cT__00)))) (and (= (and _let_3 _let_1) _let_1) (= (and _let_1 _let_3) _let_1) (= (and _let_2 _let_1) _let_2) (= (and _let_1 _let_2) _let_2) (= (and _let_1 _let_1) _let_1)))))) (forall ((V_27A_27 $$unsorted) (V_27x_27 $$unsorted)) (let ((_let_1 (tptp.s__02 V_27A_27 V_27x_27))) (= (= _let_1 _let_1) (tptp.p__01 (tptp.s__02 tptp.cbool__00 tptp.cT__00))))) _let_24 _let_23 _let_22 (forall ((V_27f11_27 $$unsorted) (V_27f01_27 $$unsorted) (V_27f1_27 $$unsorted) (V_27f12_27 $$unsorted) (V_27f02_27 $$unsorted) (V_27f2_27 $$unsorted)) (let ((_let_1 (tptp.c_27type_2elist_2elist_27__01 tptp.c_27type_2estring_2echar_27__00))) (let ((_let_2 (tptp.cfun__02 (tptp.c_27type_2enamespace_2eid_27__02 _let_1 _let_1) tptp.cbool__00))) (let ((_let_3 (tptp.s__02 _let_2 V_27f2_27))) (let ((_let_4 (tptp.s__02 _let_2 V_27f1_27))) (let ((_let_5 (tptp.s__02 _let_2 V_27f02_27))) (let ((_let_6 (tptp.s__02 _let_2 V_27f01_27))) (let ((_let_7 (tptp.cfun__02 (tptp.c_27type_2elist_2elist_27__01 _let_1) tptp.cbool__00))) (let ((_let_8 (tptp.s__02 _let_7 V_27f12_27))) (let ((_let_9 (tptp.s__02 _let_7 V_27f11_27))) (let ((_let_10 (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 tptp.c_27const_2ebool_2eARB_27__00))) (let ((_let_11 (tptp.cfun__02 _let_2 _let_2))) (let ((_let_12 (tptp.cfun__02 _let_7 _let_7))) (= (= (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__mods__fupd_27__02 (tptp.s__02 _let_12 (tptp.c_27const_2ecombin_2eK_27__01 _let_9)) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__types__fupd_27__02 (tptp.s__02 _let_11 (tptp.c_27const_2ecombin_2eK_27__01 _let_6)) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__exns__fupd_27__02 (tptp.s__02 _let_11 (tptp.c_27const_2ecombin_2eK_27__01 _let_4)) _let_10)))))) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__mods__fupd_27__02 (tptp.s__02 _let_12 (tptp.c_27const_2ecombin_2eK_27__01 _let_8)) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__types__fupd_27__02 (tptp.s__02 _let_11 (tptp.c_27const_2ecombin_2eK_27__01 _let_5)) (tptp.s__02 tptp.c_27type_2etypeSystem_2edecls_27__00 (tptp.c_27const_2etypeSystem_2edecls__defined__exns__fupd_27__02 (tptp.s__02 _let_11 (tptp.c_27const_2ecombin_2eK_27__01 _let_3)) _let_10))))))) (and (= _let_9 _let_8) (= _let_6 _let_5) (= _let_4 _let_3)))))))))))))))) _let_12 _let_11 _let_4 _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.60/0.81  )
% 0.60/0.81  % SZS output end Proof for SWW874+1
% 0.60/0.81  % cvc5---1.0.5 exiting
% 0.60/0.82  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------