%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW474+1 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 : Wed Jun 3 09:05:04 AM UTC 2026 % Result : Theorem 0.45s 0.93s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SWW474+1 : TPTP v9.2.1. Released v5.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n029.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 22:08:32 EDT 2026 % 0.16/0.34 % CPUTime : % 0.40/0.60 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.93 % SZS status Theorem % 0.45/0.93 % SZS output start Proof % 0.45/0.93 ( % 0.45/0.93 (declare-sort $$unsorted 0) % 0.45/0.93 (declare-const tptp.y $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_f2143399574l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f32027384l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f1476298914l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_p393069232l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f98417237e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f637090980l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBC_1734175330l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBC_1058051404l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBB_1522210668e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.fimplies $$unsorted) % 0.45/0.93 (declare-const tptp.fNot $$unsorted) % 0.45/0.93 (declare-const tptp.cOMBC_1149511130e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_129401207e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_482404831l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f1387463497_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f888949707_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_H1049623551e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBC_1114453604l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f2134636538on_com (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f1201187855l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.dom_fu1342267980ol_com (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_b589554111l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.some_com (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.fdisj $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_f210337421l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.member2114907555e_bool $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_H30606679l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_p1422361149_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_1589414042e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_948730864e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBB_699532858_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_701929478e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_1503445380e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_p442853985e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_1706929794_pname (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_37193422_pname (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_1039769424_state (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_367030522_pname (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBB_2095475776e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBB_1585081418e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f389811538l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBB_923936821_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f166538662l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_1642285373l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f559147733l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f1935102916l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.collec1974731493e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.fa $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_f434788991l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f759274231e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.dom_pname_com (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f468958928l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.finite786885583l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_H1621176307_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f971112728l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_pname_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.collec1613912337l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.fTrue $$unsorted) % 0.45/0.93 (declare-const tptp.cOMBB_307249310e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.ord_le287025148l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_f667366769l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.bot_bo620288102e_bool $$unsorted) % 0.45/0.93 (declare-const tptp.finite796539827l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_H78829294e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f1022807134l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_H356885323e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.fequal533582459e_bool $$unsorted) % 0.45/0.93 (declare-const tptp.insert1556680138e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.undefi64961550l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f1664156314l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_659609255_state (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f560369737_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.bot_bo1649642514l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.member799430823e_bool $$unsorted) % 0.45/0.93 (declare-const tptp.ord_le313189616e_bool $$unsorted) % 0.45/0.93 (declare-const tptp.cOMBK_168215364_state (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_892968839_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_1857069011e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.fun (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f1297739591_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.body $$unsorted) % 0.45/0.93 (declare-const tptp.image_1283814551_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBB_647938656_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.is_fun1661590463l_bool (-> $$unsorted Bool)) % 0.45/0.93 (declare-const tptp.fequal1311889615e_bool $$unsorted) % 0.45/0.93 (declare-const tptp.dom_fu2081503504ol_com (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_677922117_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.is_bool (-> $$unsorted Bool)) % 0.45/0.93 (declare-const tptp.fFalse $$unsorted) % 0.45/0.93 (declare-const tptp.cOMBS_1358309691l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.ord_le1375671464l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.wT_bodies $$unsorted) % 0.45/0.93 (declare-const tptp.bot_bo1761158942l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.collect_pname (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_bool_pname (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBC_7971162l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.finite_finite_pname $$unsorted) % 0.45/0.93 (declare-const tptp.hoare_Mirabelle_MGT $$unsorted) % 0.45/0.93 (declare-const tptp.image_187965177_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.is_pname (-> $$unsorted Bool)) % 0.45/0.93 (declare-const tptp.the_com $$unsorted) % 0.45/0.93 (declare-const tptp.fequal1111551311_state $$unsorted) % 0.45/0.93 (declare-const tptp.member_pname $$unsorted) % 0.45/0.93 (declare-const tptp.body_1 $$unsorted) % 0.45/0.93 (declare-const tptp.insert1117693814l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f595608956l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f2138803836on_com (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f1759205631l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_70449425e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.member1338687867_state $$unsorted) % 0.45/0.93 (declare-const tptp.undefi17486888e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_p799580910on_com (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hoare_165779456gleton $$unsorted) % 0.45/0.93 (declare-const tptp.insert_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_pname_pname (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.ord_le1285840794e_bool $$unsorted) % 0.45/0.93 (declare-const tptp.image_1761575943l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBS_2066081387l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.is_fun_pname_bool (-> $$unsorted Bool)) % 0.45/0.93 (declare-const tptp.hAPP_p61793385e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.fequal_pname $$unsorted) % 0.45/0.93 (declare-const tptp.cOMBS_350070575l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_47868345e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_2003357581_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_pname_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.finite464017571e_bool $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_p338031245l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.wt (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_288317893l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_1210605179l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.pn $$unsorted) % 0.45/0.93 (declare-const tptp.hoare_1598289066_state (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.45/0.93 (declare-const tptp.finite34021339l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_f72706945l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_H1187982158l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBS_568398431l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.insert1415133716_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBC_654211620e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.pname $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_pname_com (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBB_2144135922_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.undefined_pname (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_c1126217667_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.insert203537868l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.bool $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_option_com_com (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f556039215l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.bot_bo844097828e_bool $$unsorted) % 0.45/0.93 (declare-const tptp.cOMBC_1284144636l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.finite595471783e_bool $$unsorted) % 0.45/0.93 (declare-const tptp.cOMBC_449066458l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.fconj $$unsorted) % 0.45/0.93 (declare-const tptp.collec1823980261e_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.finite364844667_state $$unsorted) % 0.45/0.93 (declare-const tptp.cOMBB_675860798_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBC_1988546018l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBC_336095980l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.collec307967673_state (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_2131964411e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.collec792590109l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_54689091_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.finite1491191519l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.ord_le889598034l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.image_1705983821_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBC_747715418l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.collec256567069l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBC_1691491604l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_f585161855l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.insert1325755072e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.collec488126193l_bool (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.hAPP_pname_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.ord_le675606854l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.hAPP_f510955609l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_18964633_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBK_2035509764_state (-> $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_516545147_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_1828608335e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.bot_bo535777328l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.bot_bo1537088220l_bool $$unsorted) % 0.45/0.93 (declare-const tptp.cOMBB_962198420_state (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBS_458705923l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.image_1619336331_pname (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBB_689948150l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBS_811933079l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (declare-const tptp.cOMBB_404111180l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.93 (define @t1 () (@var "B_2_1" $$unsorted)) % 0.45/0.93 (define @t2 () (@var "B_1_1" $$unsorted)) % 0.45/0.93 (define @t3 () (tptp.is_fun_pname_bool @t1)) % 0.45/0.93 (define @t4 () (@list @t2 @t1)) % 0.45/0.93 (define @t5 () (tptp.is_fun1661590463l_bool @t1)) % 0.45/0.93 (define @t6 () (tptp.is_bool @t2)) % 0.45/0.93 (define @t7 () (@list @t2)) % 0.45/0.93 (define @t8 () (tptp.fun tptp.pname tptp.bool)) % 0.45/0.93 (define @t9 () (tptp.is_fun_pname_bool @t2)) % 0.45/0.93 (define @t10 () (tptp.is_fun1661590463l_bool @t2)) % 0.45/0.93 (define @t11 () (tptp.is_pname @t1)) % 0.45/0.93 (define @t12 () (@var "G" $$unsorted)) % 0.45/0.93 (define @t13 () (tptp.hoare_1598289066_state @t12)) % 0.45/0.93 (define @t14 () (@var "Ts" $$unsorted)) % 0.45/0.93 (define @t15 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t13 @t14))) % 0.45/0.93 (define @t16 () (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool @t14)) % 0.45/0.93 (define @t17 () (@var "Ts_1" $$unsorted)) % 0.45/0.93 (define @t18 () (@var "G_1" $$unsorted)) % 0.45/0.93 (define @t19 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state @t18) @t14))) % 0.45/0.93 (define @t20 () (@list @t12 @t18 @t14)) % 0.45/0.93 (define @t21 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t13 @t18))) % 0.45/0.93 (define @t22 () (=> @t21 @t15)) % 0.45/0.93 (define @t23 () (forall @t20 (=> @t19 @t22))) % 0.45/0.93 (define @t24 () (@var "T" $$unsorted)) % 0.45/0.93 (define @t25 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t13 (tptp.insert1415133716_state @t24 @t14)))) % 0.45/0.93 (define @t26 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t13 (tptp.insert1415133716_state @t24 tptp.bot_bo620288102e_bool)))) % 0.45/0.93 (define @t27 () (@var "Pn_1" $$unsorted)) % 0.45/0.93 (define @t28 () (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 @t27))) % 0.45/0.93 (define @t29 () (@var "A" $$unsorted)) % 0.45/0.93 (define @t30 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t29))) % 0.45/0.93 (define @t31 () (@list @t29)) % 0.45/0.93 (define @t32 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state @t29))) % 0.45/0.93 (define @t33 () (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool @t29))) % 0.45/0.93 (define @t34 () (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool @t29))) % 0.45/0.93 (define @t35 () (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool @t29))) % 0.45/0.93 (define @t36 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t29))) % 0.45/0.93 (define @t37 () (@var "Fa" $$unsorted)) % 0.45/0.93 (define @t38 () (@var "H" $$unsorted)) % 0.45/0.93 (define @t39 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t37))) % 0.45/0.93 (define @t40 () (@list @t38 @t37)) % 0.45/0.93 (define @t41 () (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool @t37))) % 0.45/0.93 (define @t42 () (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool @t37))) % 0.45/0.93 (define @t43 () (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool @t37))) % 0.45/0.93 (define @t44 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t37))) % 0.45/0.93 (define @t45 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state @t37))) % 0.45/0.93 (define @t46 () (@var "A_2" $$unsorted)) % 0.45/0.93 (define @t47 () (tptp.insert1415133716_state @t46 @t29)) % 0.45/0.93 (define @t48 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state @t47))) % 0.45/0.93 (define @t49 () (@list @t46 @t29)) % 0.45/0.93 (define @t50 () (tptp.insert_pname @t46 @t29)) % 0.45/0.93 (define @t51 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t50))) % 0.45/0.93 (define @t52 () (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.insert1556680138e_bool @t46 @t29)))) % 0.45/0.93 (define @t53 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.insert1325755072e_bool @t46 @t29)))) % 0.45/0.93 (define @t54 () (@var "Q_1" $$unsorted)) % 0.45/0.93 (define @t55 () (@var "P_1" $$unsorted)) % 0.45/0.93 (define @t56 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname @t54)))) % 0.45/0.93 (define @t57 () (tptp.collect_pname @t55)) % 0.45/0.93 (define @t58 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t57))) % 0.45/0.93 (define @t59 () (@list @t54 @t55)) % 0.45/0.93 (define @t60 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.collec307967673_state @t54)))) % 0.45/0.93 (define @t61 () (tptp.collec307967673_state @t55)) % 0.45/0.93 (define @t62 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state @t61))) % 0.45/0.93 (define @t63 () (tptp.collec1613912337l_bool @t55)) % 0.45/0.93 (define @t64 () (tptp.collec488126193l_bool @t55)) % 0.45/0.93 (define @t65 () (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool @t54)))) % 0.45/0.93 (define @t66 () (tptp.collec1823980261e_bool @t55)) % 0.45/0.93 (define @t67 () (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool @t66))) % 0.45/0.93 (define @t68 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool @t54)))) % 0.45/0.93 (define @t69 () (tptp.collec1974731493e_bool @t55)) % 0.45/0.93 (define @t70 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t69))) % 0.45/0.93 (define @t71 () (@var "C_1" $$unsorted)) % 0.45/0.93 (define @t72 () (tptp.insert1415133716_state @t71 tptp.bot_bo620288102e_bool)) % 0.45/0.93 (define @t73 () (tptp.image_2003357581_state (tptp.cOMBK_367030522_pname @t71) @t29)) % 0.45/0.93 (define @t74 () (= @t73 @t72)) % 0.45/0.93 (define @t75 () (= @t29 tptp.bot_bo844097828e_bool)) % 0.45/0.93 (define @t76 () (not @t75)) % 0.45/0.93 (define @t77 () (tptp.is_fun_pname_bool @t29)) % 0.45/0.93 (define @t78 () (@list @t71 @t29)) % 0.45/0.93 (define @t79 () (tptp.insert_pname @t71 tptp.bot_bo844097828e_bool)) % 0.45/0.93 (define @t80 () (tptp.image_54689091_pname (tptp.cOMBK_168215364_state @t71) @t29)) % 0.45/0.93 (define @t81 () (= @t80 @t79)) % 0.45/0.93 (define @t82 () (= @t29 tptp.bot_bo620288102e_bool)) % 0.45/0.93 (define @t83 () (not @t82)) % 0.45/0.93 (define @t84 () (tptp.insert1325755072e_bool @t71 tptp.bot_bo1649642514l_bool)) % 0.45/0.93 (define @t85 () (tptp.image_2131964411e_bool (tptp.cOMBK_2035509764_state @t71) @t29)) % 0.45/0.93 (define @t86 () (= @t85 @t84)) % 0.45/0.93 (define @t87 () (tptp.insert1556680138e_bool @t71 tptp.bot_bo535777328l_bool)) % 0.45/0.93 (define @t88 () (tptp.image_1828608335e_bool (tptp.cOMBK_1039769424_state @t71) @t29)) % 0.45/0.93 (define @t89 () (= @t88 @t87)) % 0.45/0.93 (define @t90 () (tptp.image_47868345e_bool (tptp.cOMBK_37193422_pname @t71) @t29)) % 0.45/0.93 (define @t91 () (= @t90 @t84)) % 0.45/0.93 (define @t92 () (tptp.image_70449425e_bool (tptp.cOMBK_1706929794_pname @t71) @t29)) % 0.45/0.93 (define @t93 () (= @t92 @t87)) % 0.45/0.93 (define @t94 () (tptp.image_pname_pname (tptp.cOMBK_pname_pname @t71) @t29)) % 0.45/0.93 (define @t95 () (= @t94 @t79)) % 0.45/0.93 (define @t96 () (tptp.image_516545147_state (tptp.cOMBK_1503445380e_bool @t71) @t29)) % 0.45/0.93 (define @t97 () (= @t96 @t72)) % 0.45/0.93 (define @t98 () (= @t29 tptp.bot_bo1649642514l_bool)) % 0.45/0.93 (define @t99 () (not @t98)) % 0.45/0.93 (define @t100 () (tptp.is_fun1661590463l_bool @t29)) % 0.45/0.93 (define @t101 () (tptp.image_18964633_state (tptp.cOMBK_701929478e_bool @t71) @t29)) % 0.45/0.93 (define @t102 () (= @t101 @t72)) % 0.45/0.93 (define @t103 () (= @t29 tptp.bot_bo535777328l_bool)) % 0.45/0.93 (define @t104 () (not @t103)) % 0.45/0.93 (define @t105 () (tptp.image_1283814551_pname (tptp.cOMBK_948730864e_bool @t71) @t29)) % 0.45/0.93 (define @t106 () (= @t105 @t79)) % 0.45/0.93 (define @t107 () (tptp.image_187965177_pname (tptp.cOMBK_1589414042e_bool @t71) @t29)) % 0.45/0.93 (define @t108 () (= @t107 @t79)) % 0.45/0.93 (define @t109 () (@var "X_2" $$unsorted)) % 0.45/0.93 (define @t110 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t109)) % 0.45/0.93 (define @t111 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t110 @t29))) % 0.45/0.93 (define @t112 () (@list @t71 @t109 @t29)) % 0.45/0.93 (define @t113 () (tptp.hAPP_H30606679l_bool tptp.member1338687867_state @t109)) % 0.45/0.93 (define @t114 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t113 @t29))) % 0.45/0.93 (define @t115 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t109) @t29))) % 0.45/0.93 (define @t116 () (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool @t109) @t29))) % 0.45/0.93 (define @t117 () (@var "F" $$unsorted)) % 0.45/0.93 (define @t118 () (tptp.dom_pname_com @t117)) % 0.45/0.93 (define @t119 () (@var "Y_2" $$unsorted)) % 0.45/0.93 (define @t120 () (tptp.some_com @t119)) % 0.45/0.93 (define @t121 () (@list @t117 @t109 @t119)) % 0.45/0.93 (define @t122 () (tptp.dom_fu2081503504ol_com @t117)) % 0.45/0.93 (define @t123 () (tptp.dom_fu1342267980ol_com @t117)) % 0.45/0.93 (define @t124 () (@var "B" $$unsorted)) % 0.45/0.93 (define @t125 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state @t124))) % 0.45/0.93 (define @t126 () (tptp.image_2003357581_state @t117 @t29)) % 0.45/0.93 (define @t127 () (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool @t124)) % 0.45/0.93 (define @t128 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t127 @t126))) % 0.45/0.93 (define @t129 () (@list @t124 @t117 @t29)) % 0.45/0.93 (define @t130 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t124))) % 0.45/0.93 (define @t131 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t124)) % 0.45/0.93 (define @t132 () (tptp.image_187965177_pname @t117 @t29)) % 0.45/0.93 (define @t133 () (tptp.image_1283814551_pname @t117 @t29)) % 0.45/0.93 (define @t134 () (tptp.image_18964633_state @t117 @t29)) % 0.45/0.93 (define @t135 () (tptp.image_516545147_state @t117 @t29)) % 0.45/0.93 (define @t136 () (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool @t124))) % 0.45/0.93 (define @t137 () (tptp.hAPP_f1759205631l_bool tptp.ord_le1375671464l_bool @t124)) % 0.45/0.93 (define @t138 () (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool @t124))) % 0.45/0.93 (define @t139 () (tptp.hAPP_f667366769l_bool tptp.ord_le889598034l_bool @t124)) % 0.45/0.93 (define @t140 () (tptp.image_pname_pname @t117 @t29)) % 0.45/0.93 (define @t141 () (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool @t124))) % 0.45/0.93 (define @t142 () (tptp.image_70449425e_bool @t117 @t29)) % 0.45/0.93 (define @t143 () (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool @t124)) % 0.45/0.93 (define @t144 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t124))) % 0.45/0.93 (define @t145 () (tptp.image_47868345e_bool @t117 @t29)) % 0.45/0.93 (define @t146 () (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t124)) % 0.45/0.93 (define @t147 () (tptp.image_54689091_pname @t117 @t29)) % 0.45/0.93 (define @t148 () (tptp.image_1828608335e_bool @t117 @t29)) % 0.45/0.93 (define @t149 () (tptp.image_2131964411e_bool @t117 @t29)) % 0.45/0.93 (define @t150 () (tptp.insert1415133716_state @t109 tptp.bot_bo620288102e_bool)) % 0.45/0.93 (define @t151 () (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool @t29)) % 0.45/0.93 (define @t152 () (@list @t29 @t109)) % 0.45/0.93 (define @t153 () (tptp.insert1325755072e_bool @t109 tptp.bot_bo1649642514l_bool)) % 0.45/0.93 (define @t154 () (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t29)) % 0.45/0.93 (define @t155 () (tptp.insert1556680138e_bool @t109 tptp.bot_bo535777328l_bool)) % 0.45/0.93 (define @t156 () (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool @t29)) % 0.45/0.93 (define @t157 () (tptp.insert_pname @t109 tptp.bot_bo844097828e_bool)) % 0.45/0.93 (define @t158 () (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t29)) % 0.45/0.93 (define @t159 () (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT @t71) tptp.bot_bo620288102e_bool)) % 0.45/0.93 (define @t160 () (tptp.hoare_1598289066_state tptp.bot_bo620288102e_bool)) % 0.45/0.93 (define @t161 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t160 @t159))) % 0.45/0.93 (define @t162 () (tptp.hBOOL (tptp.wt @t71))) % 0.45/0.93 (define @t163 () (=> @t162 @t161)) % 0.45/0.93 (define @t164 () (tptp.hBOOL tptp.wT_bodies)) % 0.45/0.93 (define @t165 () (=> @t164 @t163)) % 0.45/0.93 (define @t166 () (tptp.hBOOL tptp.hoare_165779456gleton)) % 0.45/0.93 (define @t167 () (@list @t71)) % 0.45/0.93 (define @t168 () (forall @t167 (=> @t166 @t165))) % 0.45/0.93 (define @t169 () (tptp.hAPP_H30606679l_bool tptp.member1338687867_state @t46)) % 0.45/0.93 (define @t170 () (@list @t46)) % 0.45/0.93 (define @t171 () (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t46)) % 0.45/0.93 (define @t172 () (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool @t46)) % 0.45/0.93 (define @t173 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t46)) % 0.45/0.93 (define @t174 () (@var "B_1" $$unsorted)) % 0.45/0.93 (define @t175 () (tptp.insert1415133716_state @t174 @t124)) % 0.45/0.93 (define @t176 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t169 @t175))) % 0.45/0.93 (define @t177 () (= @t46 @t174)) % 0.45/0.93 (define @t178 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t169 @t124))) % 0.45/0.93 (define @t179 () (@list @t174 @t46 @t124)) % 0.45/0.93 (define @t180 () (tptp.insert_pname @t174 @t124)) % 0.45/0.93 (define @t181 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t173 @t180))) % 0.45/0.93 (define @t182 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t173 @t124))) % 0.45/0.93 (define @t183 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t169 @t29))) % 0.45/0.93 (define @t184 () (not @t177)) % 0.45/0.93 (define @t185 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t169 (tptp.insert1415133716_state @t174 @t29)))) % 0.45/0.93 (define @t186 () (@list @t46 @t174 @t29)) % 0.45/0.93 (define @t187 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t171 @t29))) % 0.45/0.93 (define @t188 () (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t172 @t29))) % 0.45/0.93 (define @t189 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t173 @t29))) % 0.45/0.93 (define @t190 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t173 (tptp.insert_pname @t174 @t29)))) % 0.45/0.93 (define @t191 () (tptp.is_pname @t174)) % 0.45/0.93 (define @t192 () (tptp.is_pname @t46)) % 0.45/0.93 (define @t193 () (and @t192 @t191)) % 0.45/0.93 (define @t194 () (= @t29 @t124)) % 0.45/0.93 (define @t195 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t127 @t29))) % 0.45/0.93 (define @t196 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t151 @t124))) % 0.45/0.93 (define @t197 () (@list @t29 @t124)) % 0.45/0.93 (define @t198 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t154 @t124))) % 0.45/0.93 (define @t199 () (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t156 @t124))) % 0.45/0.93 (define @t200 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t29))) % 0.45/0.93 (define @t201 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t158 @t124))) % 0.45/0.93 (define @t202 () (tptp.is_fun_pname_bool @t124)) % 0.45/0.93 (define @t203 () (and @t77 @t202)) % 0.45/0.93 (define @t204 () (tptp.hAPP_H30606679l_bool tptp.member1338687867_state @t71)) % 0.45/0.93 (define @t205 () (@list @t71 @t29 @t124)) % 0.45/0.93 (define @t206 () (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t71)) % 0.45/0.93 (define @t207 () (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool @t71)) % 0.45/0.93 (define @t208 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t71)) % 0.45/0.93 (define @t209 () (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t174)) % 0.45/0.93 (define @t210 () (@list @t29 @t174 @t117 @t109)) % 0.45/0.93 (define @t211 () (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool @t174)) % 0.45/0.93 (define @t212 () (tptp.hAPP_H30606679l_bool tptp.member1338687867_state @t174)) % 0.45/0.93 (define @t213 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t174)) % 0.45/0.93 (define @t214 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t212 @t126))) % 0.45/0.93 (define @t215 () (tptp.hAPP_p1422361149_state @t117 @t109)) % 0.45/0.93 (define @t216 () (= @t174 @t215)) % 0.45/0.93 (define @t217 () (@var "X_1" $$unsorted)) % 0.45/0.93 (define @t218 () (@list @t217)) % 0.45/0.93 (define @t219 () (forall @t218 (=> (tptp.is_fun1661590463l_bool @t217) (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t55 @t217)))))) % 0.45/0.93 (define @t220 () (@list @t55)) % 0.45/0.93 (define @t221 () (forall @t218 (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t55 @t217))))) % 0.45/0.93 (define @t222 () (forall @t218 (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t55 @t217))))) % 0.45/0.93 (define @t223 () (tptp.is_fun_pname_bool @t217)) % 0.45/0.93 (define @t224 () (forall @t218 (=> @t223 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t55 @t217)))))) % 0.45/0.93 (define @t225 () (forall @t218 (not (tptp.hBOOL (tptp.hAPP_H78829294e_bool @t55 @t217))))) % 0.45/0.93 (define @t226 () (tptp.is_pname @t217)) % 0.45/0.93 (define @t227 () (forall @t218 (=> @t226 (not (tptp.hBOOL (tptp.hAPP_pname_bool @t55 @t217)))))) % 0.45/0.93 (define @t228 () (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t217) @t29))) % 0.45/0.93 (define @t229 () (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool @t217) @t29))) % 0.45/0.93 (define @t230 () (tptp.hAPP_H30606679l_bool tptp.member1338687867_state @t217)) % 0.45/0.93 (define @t231 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t230 @t29))) % 0.45/0.93 (define @t232 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t217)) % 0.45/0.93 (define @t233 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t232 @t29))) % 0.45/0.93 (define @t234 () (not @t233)) % 0.45/0.93 (define @t235 () (tptp.insert_pname @t109 @t124)) % 0.45/0.93 (define @t236 () (tptp.insert_pname @t109 @t29)) % 0.45/0.93 (define @t237 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t110 @t124))) % 0.45/0.93 (define @t238 () (not @t111)) % 0.45/0.93 (define @t239 () (@list @t124 @t109 @t29)) % 0.45/0.93 (define @t240 () (tptp.insert1415133716_state @t109 @t124)) % 0.45/0.93 (define @t241 () (tptp.insert1415133716_state @t109 @t29)) % 0.45/0.93 (define @t242 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t113 @t124))) % 0.45/0.93 (define @t243 () (not @t114)) % 0.45/0.93 (define @t244 () (tptp.hBOOL (tptp.hAPP_pname_bool @t29 @t109))) % 0.45/0.93 (define @t245 () (= @t119 @t109)) % 0.45/0.93 (define @t246 () (tptp.insert_pname @t119 @t29)) % 0.45/0.93 (define @t247 () (@list @t119 @t29 @t109)) % 0.45/0.93 (define @t248 () (tptp.hBOOL (tptp.hAPP_H78829294e_bool @t29 @t109))) % 0.45/0.93 (define @t249 () (tptp.insert1415133716_state @t119 @t29)) % 0.45/0.93 (define @t250 () (@list @t109 @t119 @t29)) % 0.45/0.93 (define @t251 () (@list @t109 @t29)) % 0.45/0.93 (define @t252 () (tptp.cOMBC_1149511130e_bool tptp.fequal_pname)) % 0.45/0.93 (define @t253 () (tptp.hAPP_p61793385e_bool @t252 @t46)) % 0.45/0.93 (define @t254 () (@list @t46 @t55)) % 0.45/0.93 (define @t255 () (tptp.cOMBC_654211620e_bool tptp.fequal1111551311_state)) % 0.45/0.93 (define @t256 () (tptp.hAPP_H1049623551e_bool @t255 @t46)) % 0.45/0.93 (define @t257 () (tptp.cOMBC_1284144636l_bool tptp.fequal533582459e_bool)) % 0.45/0.93 (define @t258 () (tptp.hAPP_f434788991l_bool @t257 @t46)) % 0.45/0.93 (define @t259 () (tptp.cOMBC_449066458l_bool tptp.fequal1311889615e_bool)) % 0.45/0.93 (define @t260 () (tptp.hAPP_f72706945l_bool @t259 @t46)) % 0.45/0.93 (define @t261 () (tptp.cOMBC_1058051404l_bool tptp.member_pname)) % 0.45/0.93 (define @t262 () (tptp.insert_pname @t46 @t124)) % 0.45/0.93 (define @t263 () (@list @t46 @t124)) % 0.45/0.93 (define @t264 () (tptp.cOMBC_1734175330l_bool tptp.member1338687867_state)) % 0.45/0.93 (define @t265 () (tptp.insert1415133716_state @t46 @t124)) % 0.45/0.93 (define @t266 () (tptp.cOMBC_1988546018l_bool tptp.member799430823e_bool)) % 0.45/0.93 (define @t267 () (tptp.cOMBC_1114453604l_bool tptp.member2114907555e_bool)) % 0.45/0.93 (define @t268 () (@var "C_2" $$unsorted)) % 0.45/0.93 (define @t269 () (@list @t268 @t29 @t124)) % 0.45/0.93 (define @t270 () (@list @t109 @t29 @t124)) % 0.45/0.93 (define @t271 () (@list @t117 @t109 @t29)) % 0.45/0.93 (define @t272 () (tptp.hAPP_p1422361149_state @t117 @t217)) % 0.45/0.93 (define @t273 () (@var "Z" $$unsorted)) % 0.45/0.93 (define @t274 () (@list @t55 @t54)) % 0.45/0.93 (define @t275 () (@var "Xa" $$unsorted)) % 0.45/0.93 (define @t276 () (@list @t217 @t275)) % 0.45/0.93 (define @t277 () (tptp.insert_pname @t174 tptp.bot_bo844097828e_bool)) % 0.45/0.93 (define @t278 () (tptp.insert_pname @t46 tptp.bot_bo844097828e_bool)) % 0.45/0.93 (define @t279 () (@list @t46 @t174)) % 0.45/0.93 (define @t280 () (tptp.insert1415133716_state @t174 tptp.bot_bo620288102e_bool)) % 0.45/0.93 (define @t281 () (tptp.insert1415133716_state @t46 tptp.bot_bo620288102e_bool)) % 0.45/0.93 (define @t282 () (= @t174 @t46)) % 0.45/0.93 (define @t283 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t213 @t278))) % 0.45/0.93 (define @t284 () (and @t191 @t192)) % 0.45/0.93 (define @t285 () (@list @t174 @t46)) % 0.45/0.93 (define @t286 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t212 @t281))) % 0.45/0.93 (define @t287 () (@var "D_1" $$unsorted)) % 0.45/0.93 (define @t288 () (or (and (= @t46 @t71) (= @t174 @t287)) (and (= @t46 @t287) (= @t174 @t71)))) % 0.45/0.93 (define @t289 () (@list @t46 @t174 @t71 @t287)) % 0.45/0.93 (define @t290 () (@list @t117 @t29)) % 0.45/0.93 (define @t291 () (@var "D" $$unsorted)) % 0.45/0.93 (define @t292 () (@list @t46 @t268 @t291)) % 0.45/0.93 (define @t293 () (@list @t174 @t29 @t124)) % 0.45/0.93 (define @t294 () (@list @t124 @t46)) % 0.45/0.93 (define @t295 () (tptp.image_2003357581_state @t117 @t124)) % 0.45/0.93 (define @t296 () (@list @t117 @t29 @t124)) % 0.45/0.93 (define @t297 () (@var "AA" $$unsorted)) % 0.45/0.93 (define @t298 () (@var "M" $$unsorted)) % 0.45/0.93 (define @t299 () (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t253) @t55))) % 0.45/0.93 (define @t300 () (tptp.hBOOL (tptp.hAPP_pname_bool @t55 @t46))) % 0.45/0.93 (define @t301 () (not @t300)) % 0.45/0.93 (define @t302 () (@list @t55 @t46)) % 0.45/0.93 (define @t303 () (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fconj @t256) @t55))) % 0.45/0.93 (define @t304 () (tptp.hBOOL (tptp.hAPP_H78829294e_bool @t55 @t46))) % 0.45/0.93 (define @t305 () (not @t304)) % 0.45/0.93 (define @t306 () (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t258) @t55))) % 0.45/0.93 (define @t307 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t55 @t46))) % 0.45/0.93 (define @t308 () (not @t307)) % 0.45/0.93 (define @t309 () (tptp.insert1325755072e_bool @t46 tptp.bot_bo1649642514l_bool)) % 0.45/0.93 (define @t310 () (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fconj @t260) @t55))) % 0.45/0.93 (define @t311 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t55 @t46))) % 0.45/0.93 (define @t312 () (not @t311)) % 0.45/0.93 (define @t313 () (tptp.insert1556680138e_bool @t46 tptp.bot_bo535777328l_bool)) % 0.45/0.93 (define @t314 () (tptp.hAPP_p61793385e_bool tptp.fequal_pname @t46)) % 0.45/0.93 (define @t315 () (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t314) @t55))) % 0.45/0.93 (define @t316 () (tptp.hAPP_H1049623551e_bool tptp.fequal1111551311_state @t46)) % 0.45/0.93 (define @t317 () (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fconj @t316) @t55))) % 0.45/0.93 (define @t318 () (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool @t46)) % 0.45/0.93 (define @t319 () (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t318) @t55))) % 0.45/0.93 (define @t320 () (tptp.hAPP_f72706945l_bool tptp.fequal1311889615e_bool @t46)) % 0.45/0.93 (define @t321 () (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fconj @t320) @t55))) % 0.45/0.93 (define @t322 () (tptp.dom_pname_com tptp.body)) % 0.45/0.93 (define @t323 () (@var "B_2" $$unsorted)) % 0.45/0.93 (define @t324 () (tptp.hBOOL (tptp.wt @t323))) % 0.45/0.93 (define @t325 () (@var "Pn" $$unsorted)) % 0.45/0.93 (define @t326 () (= (tptp.hAPP_p799580910on_com tptp.body @t325) (tptp.some_com @t323))) % 0.45/0.93 (define @t327 () (=> @t326 @t324)) % 0.45/0.93 (define @t328 () (@list @t325 @t323)) % 0.45/0.93 (define @t329 () (forall @t328 (=> @t164 @t327))) % 0.45/0.93 (define @t330 () (@var "F_1" $$unsorted)) % 0.45/0.93 (define @t331 () (@var "A_1" $$unsorted)) % 0.45/0.93 (define @t332 () (tptp.hAPP_p338031245l_bool tptp.member_pname @t331)) % 0.45/0.93 (define @t333 () (@list @t331 @t330)) % 0.45/0.93 (define @t334 () (@list @t55 @t29 @t37)) % 0.45/0.93 (define @t335 () (tptp.hAPP_H30606679l_bool tptp.member1338687867_state @t331)) % 0.45/0.93 (define @t336 () (tptp.hAPP_f556039215l_bool tptp.member799430823e_bool @t331)) % 0.45/0.93 (define @t337 () (tptp.hAPP_f210337421l_bool tptp.member2114907555e_bool @t331)) % 0.45/0.93 (define @t338 () (@var "Y_1" $$unsorted)) % 0.45/0.93 (define @t339 () (@var "P" $$unsorted)) % 0.45/0.93 (define @t340 () (@list @t339)) % 0.45/0.93 (define @t341 () (@list @t124 @t29)) % 0.45/0.93 (define @t342 () (@var "C" $$unsorted)) % 0.45/0.93 (define @t343 () (@var "Pname" $$unsorted)) % 0.45/0.93 (define @t344 () (@var "Pname_1" $$unsorted)) % 0.45/0.93 (define @t345 () (tptp.hBOOL @t339)) % 0.45/0.93 (define @t346 () (not @t345)) % 0.45/0.93 (define @t347 () (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot @t339))) % 0.45/0.93 (define @t348 () (@var "Q" $$unsorted)) % 0.45/0.93 (define @t349 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj @t339) @t348))) % 0.45/0.93 (define @t350 () (tptp.hBOOL @t348)) % 0.45/0.93 (define @t351 () (not @t350)) % 0.45/0.93 (define @t352 () (@list @t348 @t339)) % 0.45/0.93 (define @t353 () (not @t349)) % 0.45/0.93 (define @t354 () (@list @t339 @t348)) % 0.45/0.93 (define @t355 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj @t339) @t348))) % 0.45/0.93 (define @t356 () (tptp.is_bool @t339)) % 0.45/0.93 (define @t357 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies @t339) @t348))) % 0.45/0.93 (define @t358 () (@var "Y" $$unsorted)) % 0.45/0.93 (define @t359 () (@var "X" $$unsorted)) % 0.45/0.93 (define @t360 () (= @t359 @t358)) % 0.45/0.93 (define @t361 () (tptp.hBOOL (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool tptp.fequal_pname @t359) @t358))) % 0.45/0.93 (define @t362 () (@list @t359 @t358)) % 0.45/0.93 (define @t363 () (not @t360)) % 0.45/0.93 (define @t364 () (tptp.is_pname @t339)) % 0.45/0.93 (define @t365 () (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.fequal533582459e_bool @t359) @t358))) % 0.45/0.93 (define @t366 () (@var "R" $$unsorted)) % 0.45/0.93 (define @t367 () (tptp.hAPP_pname_bool @t348 @t366)) % 0.45/0.93 (define @t368 () (@list @t339 @t348 @t366)) % 0.45/0.93 (define @t369 () (tptp.is_fun_pname_bool @t339)) % 0.45/0.93 (define @t370 () (tptp.hBOOL (tptp.hAPP_H78829294e_bool (tptp.hAPP_H1049623551e_bool tptp.fequal1111551311_state @t359) @t358))) % 0.45/0.93 (define @t371 () (tptp.hAPP_f1664156314l_bool @t348 @t366)) % 0.45/0.93 (define @t372 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.fequal1311889615e_bool @t359) @t358))) % 0.45/0.93 (define @t373 () (tptp.hAPP_H78829294e_bool @t348 @t366)) % 0.45/0.93 (define @t374 () (tptp.hAPP_f1935102916l_bool @t348 @t366)) % 0.45/0.93 (define @t375 () (tptp.hAPP_f971112728l_bool @t348 @t366)) % 0.45/0.93 (define @t376 () (tptp.hAPP_f166538662l_bool @t348 @t366)) % 0.45/0.93 (define @t377 () (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT tptp.y)) % 0.45/0.93 (define @t378 () (= (tptp.hAPP_p799580910on_com tptp.body tptp.pn) (tptp.some_com tptp.y))) % 0.45/0.93 (define @t379 () (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT tptp.body_1) @t322)) % 0.45/0.93 (define @t380 () (tptp.hoare_1598289066_state @t379)) % 0.45/0.93 (define @t381 () (tptp.insert1415133716_state @t377 tptp.bot_bo620288102e_bool)) % 0.45/0.93 (define @t382 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t380 @t381))) % 0.45/0.93 (define @t383 () (not @t21)) % 0.45/0.93 (define @t384 () (not @t19)) % 0.45/0.93 (define @t385 () (or @t384 @t383 @t15)) % 0.45/0.93 (define @t386 () (not @t162)) % 0.45/0.93 (define @t387 () (or @t386 @t161)) % 0.45/0.93 (define @t388 () (forall @t167 @t387)) % 0.45/0.93 (define @t389 () (not @t164)) % 0.45/0.93 (define @t390 () (not @t166)) % 0.45/0.93 (define @t391 () (or @t390 @t389 @t387)) % 0.45/0.93 (define @t392 () (or @t390 @t389 @t386 @t161)) % 0.45/0.93 (define @t393 () (or @t389 @t386 @t161)) % 0.45/0.93 (define @t394 () (@list false false)) % 0.45/0.93 (define @t395 () (not @t326)) % 0.45/0.93 (define @t396 () (or @t395 @t324)) % 0.45/0.93 (define @t397 () (forall @t328 @t396)) % 0.45/0.93 (define @t398 () (or @t389 @t396)) % 0.45/0.93 (define @t399 () (or @t389 @t395 @t324)) % 0.45/0.93 (define @t400 () (tptp.hBOOL (tptp.wt tptp.y))) % 0.45/0.93 (define @t401 () (not @t378)) % 0.45/0.93 (define @t402 () (or @t401 @t400)) % 0.45/0.93 (define @t403 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t160 @t381))) % 0.45/0.93 (define @t404 () (not @t400)) % 0.45/0.93 (define @t405 () (or @t404 @t403)) % 0.45/0.93 (define @t406 () (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t380 tptp.bot_bo620288102e_bool))) % 0.45/0.93 (define @t407 () (not @t406)) % 0.45/0.93 (define @t408 () (not @t403)) % 0.45/0.93 (define @t409 () (or @t408 @t407 @t382)) % 0.45/0.93 (define @t410 () (not @t409)) % 0.45/0.93 (define @t411 () (forall @t20 @t385)) % 0.45/0.93 (assume @p1 (forall @t4 (=> @t3 (tptp.is_fun_pname_bool (tptp.cOMBB_647938656_pname @t2 @t1))))) % 0.45/0.93 (assume @p2 (forall @t4 (=> @t5 (tptp.is_fun1661590463l_bool (tptp.cOMBB_307249310e_bool @t2 @t1))))) % 0.45/0.93 (assume @p3 (forall @t7 (=> @t6 (tptp.is_fun_pname_bool (tptp.cOMBK_bool_pname @t2))))) % 0.45/0.93 (assume @p4 (forall @t7 (=> @t6 (tptp.is_fun1661590463l_bool (tptp.cOMBK_1857069011e_bool @t2))))) % 0.45/0.93 (assume @p5 (forall @t4 (=> @t3 (tptp.is_fun_pname_bool (tptp.cOMBS_568398431l_bool @t2 @t1))))) % 0.45/0.93 (assume @p6 (forall @t4 (=> @t5 (tptp.is_fun1661590463l_bool (tptp.cOMBS_350070575l_bool @t2 @t1))))) % 0.45/0.93 (assume @p7 (forall @t7 (tptp.is_bool (tptp.wt @t2)))) % 0.45/0.93 (assume @p8 (tptp.is_bool tptp.wT_bodies)) % 0.45/0.93 (assume @p9 (tptp.is_fun1661590463l_bool tptp.finite_finite_pname)) % 0.45/0.93 (assume @p10 (tptp.is_pname (tptp.undefined_pname tptp.pname))) % 0.45/0.93 (assume @p11 (tptp.is_fun_pname_bool (tptp.undefi17486888e_bool @t8))) % 0.45/0.93 (assume @p12 (tptp.is_fun1661590463l_bool (tptp.undefi64961550l_bool (tptp.fun @t8 tptp.bool)))) % 0.45/0.93 (assume @p13 (tptp.is_bool tptp.hoare_165779456gleton)) % 0.45/0.93 (assume @p14 (forall @t7 (tptp.is_fun_pname_bool (tptp.dom_pname_com @t2)))) % 0.45/0.93 (assume @p15 (forall @t7 (tptp.is_fun1661590463l_bool (tptp.dom_fu2081503504ol_com @t2)))) % 0.45/0.93 (assume @p16 (tptp.is_fun_pname_bool tptp.bot_bo844097828e_bool)) % 0.45/0.93 (assume @p17 (tptp.is_fun1661590463l_bool tptp.bot_bo1649642514l_bool)) % 0.45/0.93 (assume @p18 (forall @t7 (=> @t9 (tptp.is_fun_pname_bool (tptp.collect_pname @t2))))) % 0.45/0.93 (assume @p19 (forall @t7 (=> @t10 (tptp.is_fun1661590463l_bool (tptp.collec1974731493e_bool @t2))))) % 0.45/0.93 (assume @p20 (forall @t4 (=> @t3 (tptp.is_fun_pname_bool (tptp.image_pname_pname @t2 @t1))))) % 0.45/0.93 (assume @p21 (forall @t4 (=> @t3 (tptp.is_fun1661590463l_bool (tptp.image_47868345e_bool @t2 @t1))))) % 0.45/0.93 (assume @p22 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_54689091_pname @t2 @t1)))) % 0.45/0.93 (assume @p23 (forall @t4 (tptp.is_fun1661590463l_bool (tptp.image_2131964411e_bool @t2 @t1)))) % 0.45/0.93 (assume @p24 (forall @t4 (=> @t5 (tptp.is_fun_pname_bool (tptp.image_1283814551_pname @t2 @t1))))) % 0.45/0.93 (assume @p25 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_187965177_pname @t2 @t1)))) % 0.45/0.93 (assume @p26 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_1705983821_pname @t2 @t1)))) % 0.45/0.93 (assume @p27 (forall @t4 (tptp.is_fun_pname_bool (tptp.image_1619336331_pname @t2 @t1)))) % 0.45/0.93 (assume @p28 (forall @t4 (=> (and (tptp.is_pname @t2) @t3) (tptp.is_fun_pname_bool (tptp.insert_pname @t2 @t1))))) % 0.45/0.93 (assume @p29 (forall @t4 (=> (and @t9 @t5) (tptp.is_fun1661590463l_bool (tptp.insert1325755072e_bool @t2 @t1))))) % 0.45/0.93 (assume @p30 (tptp.is_bool tptp.fFalse)) % 0.45/0.93 (assume @p31 (tptp.is_bool tptp.fTrue)) % 0.45/0.93 (assume @p32 (forall @t4 (=> @t11 (tptp.is_pname (tptp.hAPP_pname_pname @t2 @t1))))) % 0.45/0.93 (assume @p33 (forall @t4 (=> (and @t9 @t11) (tptp.is_bool (tptp.hAPP_pname_bool @t2 @t1))))) % 0.45/0.93 (assume @p34 (forall @t4 (=> @t11 (tptp.is_fun_pname_bool (tptp.hAPP_p61793385e_bool @t2 @t1))))) % 0.45/0.93 (assume @p35 (forall @t4 (=> @t11 (tptp.is_fun1661590463l_bool (tptp.hAPP_p338031245l_bool @t2 @t1))))) % 0.45/0.93 (assume @p36 (forall @t4 (=> (tptp.is_bool @t1) (tptp.is_bool (tptp.hAPP_bool_bool @t2 @t1))))) % 0.45/0.93 (assume @p37 (forall @t4 (tptp.is_pname (tptp.hAPP_H1621176307_pname @t2 @t1)))) % 0.45/0.93 (assume @p38 (forall @t4 (tptp.is_bool (tptp.hAPP_H78829294e_bool @t2 @t1)))) % 0.45/0.93 (assume @p39 (forall @t4 (tptp.is_fun_pname_bool (tptp.hAPP_H356885323e_bool @t2 @t1)))) % 0.45/0.93 (assume @p40 (forall @t4 (=> @t3 (tptp.is_pname (tptp.hAPP_f1297739591_pname @t2 @t1))))) % 0.45/0.93 (assume @p41 (forall @t4 (=> (and @t10 @t3) (tptp.is_bool (tptp.hAPP_f1664156314l_bool @t2 @t1))))) % 0.45/0.93 (assume @p42 (forall @t4 (=> @t3 (tptp.is_fun_pname_bool (tptp.hAPP_f759274231e_bool @t2 @t1))))) % 0.45/0.93 (assume @p43 (forall @t4 (=> @t3 (tptp.is_fun1661590463l_bool (tptp.hAPP_f434788991l_bool @t2 @t1))))) % 0.45/0.93 (assume @p44 (forall @t4 (tptp.is_pname (tptp.hAPP_f560369737_pname @t2 @t1)))) % 0.45/0.93 (assume @p45 (forall @t4 (tptp.is_bool (tptp.hAPP_f971112728l_bool @t2 @t1)))) % 0.45/0.93 (assume @p46 (forall @t4 (=> @t5 (tptp.is_bool (tptp.hAPP_f1935102916l_bool @t2 @t1))))) % 0.45/0.93 (assume @p47 (forall @t4 (=> @t5 (tptp.is_fun1661590463l_bool (tptp.hAPP_f559147733l_bool @t2 @t1))))) % 0.45/0.93 (assume @p48 (forall @t4 (tptp.is_bool (tptp.hAPP_f166538662l_bool @t2 @t1)))) % 0.45/0.93 (assume @p49 (forall @t4 (tptp.is_bool (tptp.hAPP_f389811538l_bool @t2 @t1)))) % 0.45/0.93 (assume @p50 (forall @t4 (tptp.is_bool (tptp.hAPP_f468958928l_bool @t2 @t1)))) % 0.45/0.93 (assume @p51 (forall @t4 (tptp.is_bool (tptp.hAPP_f595608956l_bool @t2 @t1)))) % 0.45/0.93 (assume @p52 (forall @t4 (tptp.is_bool (tptp.hAPP_f1022807134l_bool @t2 @t1)))) % 0.45/0.93 (assume @p53 (tptp.is_pname tptp.pn)) % 0.45/0.93 (assume @p54 (forall (@list @t12) (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t13 tptp.bot_bo620288102e_bool)))) % 0.45/0.93 (assume @p55 (forall (@list @t14 @t12) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t16 @t12)) @t15))) % 0.45/0.93 (assume @p56 (forall (@list @t14 @t12 @t17) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t13 @t17)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t16 @t17)) @t15)))) % 0.45/0.93 (assume @p57 (forall @t20 (=> @t19 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool @t18) @t12)) @t15)))) % 0.45/0.93 (assume @p58 @t23) % 0.45/0.93 (assume @p59 (forall (@list @t14 @t12 @t24) (=> @t26 (=> @t15 @t25)))) % 0.45/0.93 (assume @p60 (forall (@list @t12 @t24 @t14) (=> @t25 (and @t26 @t15)))) % 0.45/0.93 (assume @p61 (forall (@list @t27 @t12) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hoare_1598289066_state (tptp.insert1415133716_state @t28 @t12)) (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_option_com_com tptp.the_com (tptp.hAPP_p799580910on_com tptp.body @t27))) tptp.bot_bo620288102e_bool))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t13 (tptp.insert1415133716_state @t28 tptp.bot_bo620288102e_bool)))))) % 0.45/0.93 (assume @p62 (forall @t31 (=> @t30 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool tptp.ord_le313189616e_bool) @t29))))))) % 0.45/0.93 (assume @p63 (forall @t31 (=> @t32 (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool (tptp.hAPP_f72706945l_bool (tptp.cOMBC_449066458l_bool tptp.ord_le1285840794e_bool) @t29))))))) % 0.45/0.93 (assume @p64 (forall @t31 (=> @t33 (tptp.hBOOL (tptp.hAPP_f595608956l_bool tptp.finite1491191519l_bool (tptp.collec792590109l_bool (tptp.hAPP_f1759205631l_bool (tptp.cOMBC_336095980l_bool tptp.ord_le1375671464l_bool) @t29))))))) % 0.45/0.93 (assume @p65 (forall @t31 (=> @t34 (tptp.hBOOL (tptp.hAPP_f1022807134l_bool tptp.finite34021339l_bool (tptp.collec256567069l_bool (tptp.hAPP_f667366769l_bool (tptp.cOMBC_747715418l_bool tptp.ord_le889598034l_bool) @t29))))))) % 0.45/0.93 (assume @p66 (forall @t31 (=> @t35 (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.collec488126193l_bool (tptp.hAPP_f585161855l_bool (tptp.cOMBC_1691491604l_bool tptp.ord_le287025148l_bool) @t29))))))) % 0.45/0.93 (assume @p67 (forall @t31 (=> @t36 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool tptp.ord_le675606854l_bool) @t29))))))) % 0.45/0.93 (assume @p68 (forall @t40 (=> @t39 (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.image_2003357581_state @t38 @t37)))))) % 0.45/0.93 (assume @p69 (forall @t40 (=> @t41 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1705983821_pname @t38 @t37)))))) % 0.45/0.93 (assume @p70 (forall @t40 (=> @t42 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1619336331_pname @t38 @t37)))))) % 0.45/0.93 (assume @p71 (forall @t40 (=> @t43 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_187965177_pname @t38 @t37)))))) % 0.45/0.93 (assume @p72 (forall @t40 (=> @t44 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_1283814551_pname @t38 @t37)))))) % 0.45/0.93 (assume @p73 (forall @t40 (=> @t41 (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.image_677922117_state @t38 @t37)))))) % 0.45/0.93 (assume @p74 (forall @t40 (=> @t42 (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.image_892968839_state @t38 @t37)))))) % 0.45/0.93 (assume @p75 (forall @t40 (=> @t43 (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.image_18964633_state @t38 @t37)))))) % 0.45/0.93 (assume @p76 (forall @t40 (=> @t44 (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.image_516545147_state @t38 @t37)))))) % 0.45/0.93 (assume @p77 (forall @t40 (=> @t39 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.image_1642285373l_bool @t38 @t37)))))) % 0.45/0.93 (assume @p78 (forall @t40 (=> @t39 (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.image_288317893l_bool @t38 @t37)))))) % 0.45/0.93 (assume @p79 (forall @t40 (=> @t39 (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.image_70449425e_bool @t38 @t37)))))) % 0.45/0.93 (assume @p80 (forall @t40 (=> @t39 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_47868345e_bool @t38 @t37)))))) % 0.45/0.93 (assume @p81 (forall @t40 (=> @t45 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.image_1210605179l_bool @t38 @t37)))))) % 0.45/0.93 (assume @p82 (forall @t40 (=> @t45 (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.image_1761575943l_bool @t38 @t37)))))) % 0.45/0.93 (assume @p83 (forall @t40 (=> @t45 (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.image_1828608335e_bool @t38 @t37)))))) % 0.45/0.93 (assume @p84 (forall @t40 (=> @t45 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.image_2131964411e_bool @t38 @t37)))))) % 0.45/0.93 (assume @p85 (forall @t40 (=> @t45 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_54689091_pname @t38 @t37)))))) % 0.45/0.93 (assume @p86 (forall @t40 (=> @t39 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.image_pname_pname @t38 @t37)))))) % 0.45/0.93 (assume @p87 (forall @t31 (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool tptp.bot_bo620288102e_bool) @t29)))) % 0.45/0.93 (assume @p88 (forall @t31 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool tptp.bot_bo1649642514l_bool) @t29)))) % 0.45/0.93 (assume @p89 (forall @t31 (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool tptp.bot_bo535777328l_bool) @t29)))) % 0.45/0.93 (assume @p90 (forall @t31 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool tptp.bot_bo844097828e_bool) @t29)))) % 0.45/0.93 (assume @p91 (forall @t49 (=> @t32 @t48))) % 0.45/0.93 (assume @p92 (forall @t49 (=> @t30 @t51))) % 0.45/0.93 (assume @p93 (forall @t49 (=> @t33 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.insert1117693814l_bool @t46 @t29)))))) % 0.45/0.93 (assume @p94 (forall @t49 (=> @t34 (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.insert203537868l_bool @t46 @t29)))))) % 0.45/0.93 (assume @p95 (forall @t49 (=> @t35 @t52))) % 0.45/0.93 (assume @p96 (forall @t49 (=> @t36 @t53))) % 0.45/0.93 (assume @p97 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname tptp.bot_bo844097828e_bool))) % 0.45/0.93 (assume @p98 (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state tptp.bot_bo620288102e_bool))) % 0.45/0.93 (assume @p99 (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool tptp.bot_bo1537088220l_bool))) % 0.45/0.93 (assume @p100 (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool tptp.bot_bo1761158942l_bool))) % 0.45/0.93 (assume @p101 (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool tptp.bot_bo535777328l_bool))) % 0.45/0.93 (assume @p102 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool tptp.bot_bo1649642514l_bool))) % 0.45/0.93 (assume @p103 (forall @t59 (=> (or @t58 @t56) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fconj @t55) @t54))))))) % 0.45/0.93 (assume @p104 (forall @t59 (=> (or @t62 @t60) (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fconj @t55) @t54))))))) % 0.45/0.93 (assume @p105 (forall @t59 (=> (or (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool @t63)) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool @t54)))) (tptp.hBOOL (tptp.hAPP_f389811538l_bool tptp.finite786885583l_bool (tptp.collec1613912337l_bool (tptp.cOMBS_811933079l_bool (tptp.cOMBB_689948150l_bool tptp.fconj @t55) @t54))))))) % 0.45/0.93 (assume @p106 (forall @t59 (=> (or (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool @t64)) (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.collec488126193l_bool @t54)))) (tptp.hBOOL (tptp.hAPP_f468958928l_bool tptp.finite796539827l_bool (tptp.collec488126193l_bool (tptp.cOMBS_1358309691l_bool (tptp.cOMBB_404111180l_bool tptp.fconj @t55) @t54))))))) % 0.45/0.93 (assume @p107 (forall @t59 (=> (or @t67 @t65) (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fconj @t55) @t54))))))) % 0.45/0.93 (assume @p108 (forall @t59 (=> (or @t70 @t68) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fconj @t55) @t54))))))) % 0.45/0.93 (assume @p109 (forall @t78 (=> @t77 (and (=> @t75 (= @t73 tptp.bot_bo620288102e_bool)) (=> @t76 @t74))))) % 0.45/0.93 (assume @p110 (forall @t78 (and (=> @t82 (= @t80 tptp.bot_bo844097828e_bool)) (=> @t83 @t81)))) % 0.45/0.93 (assume @p111 (forall @t78 (and (=> @t82 (= @t85 tptp.bot_bo1649642514l_bool)) (=> @t83 @t86)))) % 0.45/0.93 (assume @p112 (forall @t78 (and (=> @t82 (= @t88 tptp.bot_bo535777328l_bool)) (=> @t83 @t89)))) % 0.45/0.93 (assume @p113 (forall @t78 (=> @t77 (and (=> @t75 (= @t90 tptp.bot_bo1649642514l_bool)) (=> @t76 @t91))))) % 0.45/0.93 (assume @p114 (forall @t78 (=> @t77 (and (=> @t75 (= @t92 tptp.bot_bo535777328l_bool)) (=> @t76 @t93))))) % 0.45/0.93 (assume @p115 (forall @t78 (=> @t77 (and (=> @t75 (= @t94 tptp.bot_bo844097828e_bool)) (=> @t76 @t95))))) % 0.45/0.93 (assume @p116 (forall @t78 (=> @t100 (and (=> @t98 (= @t96 tptp.bot_bo620288102e_bool)) (=> @t99 @t97))))) % 0.45/0.93 (assume @p117 (forall @t78 (and (=> @t103 (= @t101 tptp.bot_bo620288102e_bool)) (=> @t104 @t102)))) % 0.45/0.93 (assume @p118 (forall @t78 (=> @t100 (and (=> @t98 (= @t105 tptp.bot_bo844097828e_bool)) (=> @t99 @t106))))) % 0.45/0.93 (assume @p119 (forall @t78 (and (=> @t103 (= @t107 tptp.bot_bo844097828e_bool)) (=> @t104 @t108)))) % 0.45/0.93 (assume @p120 (forall @t112 (=> @t111 @t74))) % 0.45/0.93 (assume @p121 (forall @t112 (=> @t114 @t81))) % 0.45/0.93 (assume @p122 (forall @t112 (=> @t114 @t86))) % 0.45/0.93 (assume @p123 (forall @t112 (=> @t114 @t89))) % 0.45/0.93 (assume @p124 (forall @t112 (=> @t111 @t91))) % 0.45/0.93 (assume @p125 (forall @t112 (=> @t111 @t93))) % 0.45/0.93 (assume @p126 (forall @t112 (=> @t111 @t95))) % 0.45/0.93 (assume @p127 (forall @t112 (=> @t115 @t97))) % 0.45/0.93 (assume @p128 (forall @t112 (=> @t116 @t102))) % 0.45/0.93 (assume @p129 (forall @t112 (=> @t115 @t106))) % 0.45/0.93 (assume @p130 (forall @t112 (=> @t116 @t108))) % 0.45/0.93 (assume @p131 (forall @t121 (=> (= (tptp.hAPP_p799580910on_com @t117 @t109) @t120) (= (tptp.insert_pname @t109 @t118) @t118)))) % 0.45/0.93 (assume @p132 (forall @t121 (=> (= (tptp.hAPP_f2138803836on_com @t117 @t109) @t120) (= (tptp.insert1325755072e_bool @t109 @t122) @t122)))) % 0.45/0.93 (assume @p133 (forall @t121 (=> (= (tptp.hAPP_f2134636538on_com @t117 @t109) @t120) (= (tptp.insert1556680138e_bool @t109 @t123) @t123)))) % 0.45/0.93 (assume @p134 (forall @t129 (=> @t30 (=> @t128 @t125)))) % 0.45/0.93 (assume @p135 (forall @t129 (=> @t33 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 (tptp.image_1705983821_pname @t117 @t29))) @t130)))) % 0.45/0.93 (assume @p136 (forall @t129 (=> @t34 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 (tptp.image_1619336331_pname @t117 @t29))) @t130)))) % 0.45/0.93 (assume @p137 (forall @t129 (=> @t35 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t132)) @t130)))) % 0.45/0.93 (assume @p138 (forall @t129 (=> @t36 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t133)) @t130)))) % 0.45/0.93 (assume @p139 (forall @t129 (=> @t33 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t127 (tptp.image_677922117_state @t117 @t29))) @t125)))) % 0.45/0.93 (assume @p140 (forall @t129 (=> @t34 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t127 (tptp.image_892968839_state @t117 @t29))) @t125)))) % 0.45/0.93 (assume @p141 (forall @t129 (=> @t35 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t127 @t134)) @t125)))) % 0.45/0.93 (assume @p142 (forall @t129 (=> @t36 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t127 @t135)) @t125)))) % 0.45/0.93 (assume @p143 (forall @t129 (=> @t30 (=> (tptp.hBOOL (tptp.hAPP_f389811538l_bool @t137 (tptp.image_1642285373l_bool @t117 @t29))) @t136)))) % 0.45/0.93 (assume @p144 (forall @t129 (=> @t30 (=> (tptp.hBOOL (tptp.hAPP_f468958928l_bool @t139 (tptp.image_288317893l_bool @t117 @t29))) @t138)))) % 0.45/0.93 (assume @p145 (forall @t129 (=> @t30 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t140)) @t130)))) % 0.45/0.93 (assume @p146 (forall @t129 (=> @t30 (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t143 @t142)) @t141)))) % 0.45/0.93 (assume @p147 (forall @t129 (=> @t30 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t146 @t145)) @t144)))) % 0.45/0.93 (assume @p148 (forall @t129 (=> @t32 (=> (tptp.hBOOL (tptp.hAPP_f389811538l_bool @t137 (tptp.image_1210605179l_bool @t117 @t29))) @t136)))) % 0.45/0.93 (assume @p149 (forall @t129 (=> @t32 (=> (tptp.hBOOL (tptp.hAPP_f468958928l_bool @t139 (tptp.image_1761575943l_bool @t117 @t29))) @t138)))) % 0.45/0.93 (assume @p150 (forall @t129 (=> @t32 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t147)) @t130)))) % 0.45/0.93 (assume @p151 (forall @t129 (=> @t32 (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t143 @t148)) @t141)))) % 0.45/0.93 (assume @p152 (forall @t129 (=> @t32 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t146 @t149)) @t144)))) % 0.45/0.93 (assume @p153 (forall @t152 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t151 @t150)) (or @t82 (= @t29 @t150))))) % 0.45/0.93 (assume @p154 (forall @t152 (=> @t100 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t154 @t153)) (or @t98 (= @t29 @t153)))))) % 0.45/0.93 (assume @p155 (forall @t152 (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t156 @t155)) (or @t103 (= @t29 @t155))))) % 0.45/0.93 (assume @p156 (forall @t152 (=> @t77 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t158 @t157)) (or @t75 (= @t29 @t157)))))) % 0.45/0.93 (assume @p157 @t168) % 0.45/0.93 (assume @p158 (forall @t170 (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t169 tptp.bot_bo620288102e_bool))))) % 0.45/0.93 (assume @p159 (forall @t170 (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t171 tptp.bot_bo1649642514l_bool))))) % 0.45/0.93 (assume @p160 (forall @t170 (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t172 tptp.bot_bo535777328l_bool))))) % 0.45/0.93 (assume @p161 (forall @t170 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t173 tptp.bot_bo844097828e_bool))))) % 0.45/0.93 (assume @p162 (forall @t179 (=> (=> (not @t178) @t177) @t176))) % 0.45/0.93 (assume @p163 (forall @t179 (=> (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t171 @t124))) @t177) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t171 (tptp.insert1325755072e_bool @t174 @t124)))))) % 0.45/0.93 (assume @p164 (forall @t179 (=> (=> (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t172 @t124))) @t177) (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t172 (tptp.insert1556680138e_bool @t174 @t124)))))) % 0.45/0.93 (assume @p165 (forall @t179 (=> (=> (not @t182) @t177) @t181))) % 0.45/0.93 (assume @p166 (forall @t186 (=> @t185 (=> @t184 @t183)))) % 0.45/0.93 (assume @p167 (forall @t186 (=> (and (tptp.is_fun_pname_bool @t46) (tptp.is_fun_pname_bool @t174)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t171 (tptp.insert1325755072e_bool @t174 @t29))) (=> @t184 @t187))))) % 0.45/0.93 (assume @p168 (forall @t186 (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t172 (tptp.insert1556680138e_bool @t174 @t29))) (=> @t184 @t188)))) % 0.45/0.93 (assume @p169 (forall @t186 (=> @t193 (=> @t190 (=> @t184 @t189))))) % 0.45/0.93 (assume @p170 (forall @t197 (=> @t196 (=> @t195 @t194)))) % 0.45/0.93 (assume @p171 (forall @t197 (=> (and @t100 (tptp.is_fun1661590463l_bool @t124)) (=> @t198 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t146 @t29)) @t194))))) % 0.45/0.93 (assume @p172 (forall @t197 (=> @t199 (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t143 @t29)) @t194)))) % 0.45/0.93 (assume @p173 (forall @t197 (=> @t203 (=> @t201 (=> @t200 @t194))))) % 0.45/0.93 (assume @p174 (forall @t205 (=> @t196 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t204 @t29)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t204 @t124)))))) % 0.45/0.93 (assume @p175 (forall @t205 (=> @t198 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t206 @t29)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t206 @t124)))))) % 0.45/0.93 (assume @p176 (forall @t205 (=> @t199 (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t207 @t29)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t207 @t124)))))) % 0.45/0.93 (assume @p177 (forall @t205 (=> @t201 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t208 @t29)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t208 @t124)))))) % 0.45/0.93 (assume @p178 (forall @t210 (=> (= @t174 (tptp.hAPP_H356885323e_bool @t117 @t109)) (=> @t114 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t209 @t149)))))) % 0.45/0.93 (assume @p179 (forall @t210 (=> (= @t174 (tptp.hAPP_H1049623551e_bool @t117 @t109)) (=> @t114 (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t211 @t148)))))) % 0.45/0.93 (assume @p180 (forall @t210 (=> (= @t174 (tptp.hAPP_p61793385e_bool @t117 @t109)) (=> @t111 (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t209 @t145)))))) % 0.45/0.93 (assume @p181 (forall @t210 (=> (= @t174 (tptp.hAPP_p442853985e_bool @t117 @t109)) (=> @t111 (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t211 @t142)))))) % 0.45/0.93 (assume @p182 (forall @t210 (=> (= @t174 (tptp.hAPP_f888949707_state @t117 @t109)) (=> @t115 (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t212 @t135)))))) % 0.45/0.93 (assume @p183 (forall @t210 (=> (= @t174 (tptp.hAPP_f1387463497_state @t117 @t109)) (=> @t116 (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t212 @t134)))))) % 0.45/0.93 (assume @p184 (forall @t210 (=> (= @t174 (tptp.hAPP_H1621176307_pname @t117 @t109)) (=> @t114 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t213 @t147)))))) % 0.45/0.93 (assume @p185 (forall @t210 (=> (= @t174 (tptp.hAPP_pname_pname @t117 @t109)) (=> @t111 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t213 @t140)))))) % 0.45/0.93 (assume @p186 (forall @t210 (=> (= @t174 (tptp.hAPP_f1297739591_pname @t117 @t109)) (=> @t115 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t213 @t133)))))) % 0.45/0.93 (assume @p187 (forall @t210 (=> (= @t174 (tptp.hAPP_f560369737_pname @t117 @t109)) (=> @t116 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t213 @t132)))))) % 0.45/0.93 (assume @p188 (forall @t210 (=> @t216 (=> @t111 @t214)))) % 0.45/0.93 (assume @p189 (forall @t49 (=> @t98 (not @t187)))) % 0.45/0.93 (assume @p190 (forall @t49 (=> @t103 (not @t188)))) % 0.45/0.93 (assume @p191 (forall @t49 (=> @t82 (not @t183)))) % 0.45/0.93 (assume @p192 (forall @t49 (=> @t75 (not @t189)))) % 0.45/0.93 (assume @p193 (forall @t220 (= (= @t63 tptp.bot_bo1537088220l_bool) @t219))) % 0.45/0.93 (assume @p194 (forall @t220 (= (= @t64 tptp.bot_bo1761158942l_bool) @t221))) % 0.45/0.93 (assume @p195 (forall @t220 (= (= @t66 tptp.bot_bo535777328l_bool) @t222))) % 0.45/0.93 (assume @p196 (forall @t220 (= (= @t69 tptp.bot_bo1649642514l_bool) @t224))) % 0.45/0.93 (assume @p197 (forall @t220 (= (= @t61 tptp.bot_bo620288102e_bool) @t225))) % 0.45/0.93 (assume @p198 (forall @t220 (= (= @t57 tptp.bot_bo844097828e_bool) @t227))) % 0.45/0.93 (assume @p199 (forall @t167 (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t206 tptp.bot_bo1649642514l_bool))))) % 0.45/0.93 (assume @p200 (forall @t167 (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t207 tptp.bot_bo535777328l_bool))))) % 0.45/0.93 (assume @p201 (forall @t167 (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t204 tptp.bot_bo620288102e_bool))))) % 0.45/0.93 (assume @p202 (forall @t167 (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t208 tptp.bot_bo844097828e_bool))))) % 0.45/0.93 (assume @p203 (forall @t220 (= (= tptp.bot_bo1537088220l_bool @t63) @t219))) % 0.45/0.93 (assume @p204 (forall @t220 (= (= tptp.bot_bo1761158942l_bool @t64) @t221))) % 0.45/0.93 (assume @p205 (forall @t220 (= (= tptp.bot_bo535777328l_bool @t66) @t222))) % 0.45/0.93 (assume @p206 (forall @t220 (= (= tptp.bot_bo1649642514l_bool @t69) @t224))) % 0.45/0.93 (assume @p207 (forall @t220 (= (= tptp.bot_bo620288102e_bool @t61) @t225))) % 0.45/0.93 (assume @p208 (forall @t220 (= (= tptp.bot_bo844097828e_bool @t57) @t227))) % 0.45/0.93 (assume @p209 (forall @t31 (=> @t100 (= (exists @t218 (and @t223 @t228)) @t99)))) % 0.45/0.93 (assume @p210 (forall @t31 (= (exists @t218 @t229) @t104))) % 0.45/0.93 (assume @p211 (forall @t31 (= (exists @t218 @t231) @t83))) % 0.45/0.93 (assume @p212 (forall @t31 (=> @t77 (= (exists @t218 (and @t226 @t233)) @t76)))) % 0.45/0.93 (assume @p213 (forall @t31 (=> @t100 (= (forall @t218 (=> @t223 (not @t228))) @t98)))) % 0.45/0.93 (assume @p214 (forall @t31 (= (forall @t218 (not @t229)) @t103))) % 0.45/0.93 (assume @p215 (forall @t31 (= (forall @t218 (not @t231)) @t82))) % 0.45/0.93 (assume @p216 (forall @t31 (=> @t77 (= (forall @t218 (=> @t226 @t234)) @t75)))) % 0.45/0.93 (assume @p217 (= tptp.bot_bo1761158942l_bool (tptp.collec488126193l_bool (tptp.cOMBK_482404831l_bool tptp.fFalse)))) % 0.45/0.93 (assume @p218 (= tptp.bot_bo535777328l_bool (tptp.collec1823980261e_bool (tptp.cOMBK_129401207e_bool tptp.fFalse)))) % 0.45/0.93 (assume @p219 (= tptp.bot_bo1649642514l_bool (tptp.collec1974731493e_bool (tptp.cOMBK_1857069011e_bool tptp.fFalse)))) % 0.45/0.93 (assume @p220 (= tptp.bot_bo620288102e_bool (tptp.collec307967673_state (tptp.cOMBK_659609255_state tptp.fFalse)))) % 0.45/0.93 (assume @p221 (= tptp.bot_bo844097828e_bool (tptp.collect_pname (tptp.cOMBK_bool_pname tptp.fFalse)))) % 0.45/0.93 (assume @p222 (forall @t49 (=> @t77 (=> @t189 (= @t50 @t29))))) % 0.45/0.93 (assume @p223 (forall @t49 (=> @t183 (= @t47 @t29)))) % 0.45/0.93 (assume @p224 (forall @t179 (=> @t182 @t181))) % 0.45/0.93 (assume @p225 (forall @t179 (=> @t178 @t176))) % 0.45/0.93 (assume @p226 (forall @t239 (=> (and @t202 @t77) (=> @t238 (=> (not @t237) (= (= @t236 @t235) @t194)))))) % 0.45/0.93 (assume @p227 (forall @t239 (=> @t243 (=> (not @t242) (= (= @t241 @t240) @t194))))) % 0.45/0.93 (assume @p228 (forall @t247 (=> (and (tptp.is_pname @t119) (tptp.is_pname @t109)) (= (tptp.hBOOL (tptp.hAPP_pname_bool @t246 @t109)) (or @t245 @t244))))) % 0.45/0.93 (assume @p229 (forall @t247 (= (tptp.hBOOL (tptp.hAPP_H78829294e_bool @t249 @t109)) (or @t245 @t248)))) % 0.45/0.93 (assume @p230 (forall @t186 (=> @t193 (= @t190 (or @t177 @t189))))) % 0.45/0.93 (assume @p231 (forall @t186 (= @t185 (or @t177 @t183)))) % 0.45/0.93 (assume @p232 (forall @t250 (= (tptp.insert_pname @t109 @t246) (tptp.insert_pname @t119 @t236)))) % 0.45/0.93 (assume @p233 (forall @t250 (= (tptp.insert1415133716_state @t109 @t249) (tptp.insert1415133716_state @t119 @t241)))) % 0.45/0.93 (assume @p234 (forall @t251 (= (tptp.insert_pname @t109 @t236) @t236))) % 0.45/0.93 (assume @p235 (forall @t251 (= (tptp.insert1415133716_state @t109 @t241) @t241))) % 0.45/0.93 (assume @p236 (forall @t254 (= (tptp.insert_pname @t46 @t57) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fimplies (tptp.cOMBB_647938656_pname tptp.fNot @t253)) @t55))))) % 0.45/0.93 (assume @p237 (forall @t254 (= (tptp.insert1415133716_state @t46 @t61) (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fimplies (tptp.cOMBB_2144135922_state tptp.fNot @t256)) @t55))))) % 0.45/0.93 (assume @p238 (forall @t254 (= (tptp.insert1325755072e_bool @t46 @t69) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fimplies (tptp.cOMBB_307249310e_bool tptp.fNot @t258)) @t55))))) % 0.45/0.93 (assume @p239 (forall @t254 (= (tptp.insert1556680138e_bool @t46 @t66) (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fimplies (tptp.cOMBB_1522210668e_bool tptp.fNot @t260)) @t55))))) % 0.45/0.93 (assume @p240 (forall @t263 (= @t262 (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj @t253) (tptp.hAPP_f759274231e_bool @t261 @t124)))))) % 0.45/0.93 (assume @p241 (forall @t263 (= @t265 (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fdisj @t256) (tptp.hAPP_f98417237e_bool @t264 @t124)))))) % 0.45/0.93 (assume @p242 (forall @t263 (= (tptp.insert1325755072e_bool @t46 @t124) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj @t258) (tptp.hAPP_f559147733l_bool @t266 @t124)))))) % 0.45/0.93 (assume @p243 (forall @t263 (= (tptp.insert1556680138e_bool @t46 @t124) (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fdisj @t260) (tptp.hAPP_f1201187855l_bool @t267 @t124)))))) % 0.45/0.93 (assume @p244 (forall @t263 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t173 @t262)))) % 0.45/0.93 (assume @p245 (forall @t263 (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t169 @t265)))) % 0.45/0.93 (assume @p246 (forall @t197 (=> @t194 (not (=> @t201 (not @t200)))))) % 0.45/0.93 (assume @p247 (forall @t197 (=> @t194 (not (=> @t196 (not @t195)))))) % 0.45/0.93 (assume @p248 (forall @t269 (=> @t201 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t268)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t158 @t268)))))) % 0.45/0.93 (assume @p249 (forall @t269 (=> @t196 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t127 @t268)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t151 @t268)))))) % 0.45/0.93 (assume @p250 (forall @t270 (=> @t201 (=> @t111 @t237)))) % 0.45/0.93 (assume @p251 (forall @t270 (=> @t196 (=> @t114 @t242)))) % 0.45/0.93 (assume @p252 (forall @t239 (=> @t111 (=> @t201 @t237)))) % 0.45/0.93 (assume @p253 (forall @t239 (=> @t114 (=> @t196 @t242)))) % 0.45/0.93 (assume @p254 (forall @t197 (=> @t194 @t200))) % 0.45/0.93 (assume @p255 (forall @t197 (=> @t194 @t195))) % 0.45/0.93 (assume @p256 (forall @t197 (=> @t194 @t201))) % 0.45/0.93 (assume @p257 (forall @t197 (=> @t194 @t196))) % 0.45/0.93 (assume @p258 (forall @t197 (=> @t203 (= @t194 (and @t201 @t200))))) % 0.45/0.93 (assume @p259 (forall @t197 (= @t194 (and @t196 @t195)))) % 0.45/0.93 (assume @p260 (forall @t31 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t158 @t29)))) % 0.45/0.93 (assume @p261 (forall @t31 (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t151 @t29)))) % 0.45/0.93 (assume @p262 (forall (@list @t174 @t117 @t109 @t29) (=> @t111 (=> @t216 @t214)))) % 0.45/0.93 (assume @p263 (forall @t271 (=> @t111 (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state @t215) @t126))))) % 0.45/0.93 (assume @p264 (forall (@list @t273 @t117 @t29) (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state @t273) @t126)) (exists @t218 (and @t226 @t233 (= @t273 @t272)))))) % 0.45/0.93 (assume @p265 (forall @t274 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj @t55) @t54)))) (and @t58 @t56)))) % 0.45/0.93 (assume @p266 (forall @t274 (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fdisj @t55) @t54)))) (and @t62 @t60)))) % 0.45/0.93 (assume @p267 (forall @t274 (= (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj @t55) @t54)))) (and @t70 @t68)))) % 0.45/0.93 (assume @p268 (forall @t274 (= (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fdisj @t55) @t54)))) (and @t67 @t65)))) % 0.45/0.93 (assume @p269 (forall @t276 (= (tptp.insert_pname @t217 @t275) (tptp.collect_pname (tptp.cOMBS_568398431l_bool (tptp.cOMBB_675860798_pname tptp.fdisj (tptp.hAPP_p61793385e_bool @t252 @t217)) (tptp.hAPP_f759274231e_bool @t261 @t275)))))) % 0.45/0.93 (assume @p270 (forall @t276 (= (tptp.insert1415133716_state @t217 @t275) (tptp.collec307967673_state (tptp.cOMBS_458705923l_bool (tptp.cOMBB_962198420_state tptp.fdisj (tptp.hAPP_H1049623551e_bool @t255 @t217)) (tptp.hAPP_f98417237e_bool @t264 @t275)))))) % 0.45/0.93 (assume @p271 (forall @t276 (= (tptp.insert1325755072e_bool @t217 @t275) (tptp.collec1974731493e_bool (tptp.cOMBS_350070575l_bool (tptp.cOMBB_2095475776e_bool tptp.fdisj (tptp.hAPP_f434788991l_bool @t257 @t217)) (tptp.hAPP_f559147733l_bool @t266 @t275)))))) % 0.45/0.93 (assume @p272 (forall @t276 (= (tptp.insert1556680138e_bool @t217 @t275) (tptp.collec1823980261e_bool (tptp.cOMBS_2066081387l_bool (tptp.cOMBB_1585081418e_bool tptp.fdisj (tptp.hAPP_f72706945l_bool @t259 @t217)) (tptp.hAPP_f1201187855l_bool @t267 @t275)))))) % 0.45/0.93 (assume @p273 (forall @t279 (=> @t193 (=> (= @t278 @t277) @t177)))) % 0.45/0.93 (assume @p274 (forall @t279 (=> (= @t281 @t280) @t177))) % 0.45/0.93 (assume @p275 (forall @t285 (=> @t284 (=> @t283 @t282)))) % 0.45/0.93 (assume @p276 (forall @t285 (=> @t286 @t282))) % 0.45/0.93 (assume @p277 (forall @t289 (=> (and @t192 @t191 (tptp.is_pname @t71) (tptp.is_pname @t287)) (= (= (tptp.insert_pname @t46 @t277) (tptp.insert_pname @t71 (tptp.insert_pname @t287 tptp.bot_bo844097828e_bool))) @t288)))) % 0.45/0.93 (assume @p278 (forall @t289 (= (= (tptp.insert1415133716_state @t46 @t280) (tptp.insert1415133716_state @t71 (tptp.insert1415133716_state @t287 tptp.bot_bo620288102e_bool))) @t288))) % 0.45/0.93 (assume @p279 (forall @t285 (=> @t284 (= @t283 @t282)))) % 0.45/0.93 (assume @p280 (forall @t285 (= @t286 @t282))) % 0.45/0.93 (assume @p281 (forall @t49 (not (= @t50 tptp.bot_bo844097828e_bool)))) % 0.45/0.93 (assume @p282 (forall @t49 (not (= @t47 tptp.bot_bo620288102e_bool)))) % 0.45/0.93 (assume @p283 (forall @t49 (not (= tptp.bot_bo844097828e_bool @t50)))) % 0.45/0.93 (assume @p284 (forall @t49 (not (= tptp.bot_bo620288102e_bool @t47)))) % 0.45/0.93 (assume @p285 (forall @t49 (= @t51 @t30))) % 0.45/0.93 (assume @p286 (forall @t49 (= @t48 @t32))) % 0.45/0.93 (assume @p287 (forall @t49 (= @t53 @t36))) % 0.45/0.93 (assume @p288 (forall @t49 (= @t52 @t35))) % 0.45/0.93 (assume @p289 (forall @t31 (=> @t77 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t158 tptp.bot_bo844097828e_bool)) @t75)))) % 0.45/0.93 (assume @p290 (forall @t31 (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t151 tptp.bot_bo620288102e_bool)) @t82))) % 0.45/0.93 (assume @p291 (forall @t290 (=> @t77 (= (= @t126 tptp.bot_bo620288102e_bool) @t75)))) % 0.45/0.93 (assume @p292 (forall (@list @t117) (= (tptp.image_2003357581_state @t117 tptp.bot_bo844097828e_bool) tptp.bot_bo620288102e_bool))) % 0.45/0.93 (assume @p293 (forall @t290 (=> @t77 (= (= tptp.bot_bo620288102e_bool @t126) @t75)))) % 0.45/0.93 (assume @p294 (forall @t197 (=> @t198 (=> @t144 @t36)))) % 0.45/0.93 (assume @p295 (forall @t197 (=> @t199 (=> @t141 @t35)))) % 0.45/0.93 (assume @p296 (forall @t197 (=> @t201 (=> @t130 @t30)))) % 0.45/0.93 (assume @p297 (forall @t197 (=> @t196 (=> @t125 @t32)))) % 0.45/0.93 (assume @p298 (forall @t197 (=> @t144 (=> @t198 @t36)))) % 0.45/0.93 (assume @p299 (forall @t197 (=> @t141 (=> @t199 @t35)))) % 0.45/0.93 (assume @p300 (forall @t197 (=> @t130 (=> @t201 @t30)))) % 0.45/0.93 (assume @p301 (forall @t197 (=> @t125 (=> @t196 @t32)))) % 0.45/0.93 (assume @p302 (forall @t292 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t268) @t291)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool (tptp.insert_pname @t46 @t268)) (tptp.insert_pname @t46 @t291)))))) % 0.45/0.93 (assume @p303 (forall @t292 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool @t268) @t291)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool (tptp.insert1415133716_state @t46 @t268)) (tptp.insert1415133716_state @t46 @t291)))))) % 0.45/0.93 (assume @p304 (forall @t251 (= @t111 @t244))) % 0.45/0.93 (assume @p305 (forall @t251 (= @t114 @t248))) % 0.45/0.93 (assume @p306 (forall @t220 (=> (tptp.is_fun_pname_bool @t55) (= @t57 @t55)))) % 0.45/0.93 (assume @p307 (forall @t220 (= @t61 @t55))) % 0.45/0.93 (assume @p308 (forall @t220 (=> (tptp.is_fun1661590463l_bool @t55) (= @t69 @t55)))) % 0.45/0.93 (assume @p309 (forall @t220 (= @t66 @t55))) % 0.45/0.93 (assume @p310 (forall @t293 (=> @t201 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t158 @t180))))) % 0.45/0.93 (assume @p311 (forall @t293 (=> @t196 (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t151 @t175))))) % 0.45/0.93 (assume @p312 (forall @t239 (=> @t238 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t158 @t235)) @t201)))) % 0.45/0.93 (assume @p313 (forall @t239 (=> @t243 (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t151 @t240)) @t196)))) % 0.45/0.93 (assume @p314 (forall @t270 (= (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t236) @t124)) (and @t237 @t201)))) % 0.45/0.93 (assume @p315 (forall @t270 (= (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool @t241) @t124)) (and @t242 @t196)))) % 0.45/0.93 (assume @p316 (forall @t294 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t131 @t262)))) % 0.45/0.93 (assume @p317 (forall @t294 (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t127 @t265)))) % 0.45/0.93 (assume @p318 (forall @t271 (=> @t111 (= (tptp.insert1415133716_state @t215 @t126) @t126)))) % 0.45/0.93 (assume @p319 (forall (@list @t117 @t46 @t124) (= (tptp.image_2003357581_state @t117 @t262) (tptp.insert1415133716_state (tptp.hAPP_p1422361149_state @t117 @t46) @t295)))) % 0.45/0.93 (assume @p320 (forall @t296 (=> @t201 (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool @t126) @t295))))) % 0.45/0.93 (assume @p321 (forall @t129 (= @t128 (exists (@list @t297) (and (tptp.is_fun_pname_bool @t297) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t297) @t29)) (= @t124 (tptp.image_2003357581_state @t117 @t297))))))) % 0.45/0.93 (assume @p322 (forall (@list @t298 @t46 @t174) (=> (= (tptp.hAPP_p799580910on_com @t298 @t46) (tptp.some_com @t174)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t173 (tptp.dom_pname_com @t298)))))) % 0.45/0.93 (assume @p323 (forall @t302 (and (=> @t300 (= @t299 @t278)) (=> @t301 (= @t299 tptp.bot_bo844097828e_bool))))) % 0.45/0.93 (assume @p324 (forall @t302 (and (=> @t304 (= @t303 @t281)) (=> @t305 (= @t303 tptp.bot_bo620288102e_bool))))) % 0.45/0.93 (assume @p325 (forall @t302 (and (=> @t307 (= @t306 @t309)) (=> @t308 (= @t306 tptp.bot_bo1649642514l_bool))))) % 0.45/0.93 (assume @p326 (forall @t302 (and (=> @t311 (= @t310 @t313)) (=> @t312 (= @t310 tptp.bot_bo535777328l_bool))))) % 0.45/0.93 (assume @p327 (forall @t302 (and (=> @t300 (= @t315 @t278)) (=> @t301 (= @t315 tptp.bot_bo844097828e_bool))))) % 0.45/0.93 (assume @p328 (forall @t302 (and (=> @t304 (= @t317 @t281)) (=> @t305 (= @t317 tptp.bot_bo620288102e_bool))))) % 0.45/0.93 (assume @p329 (forall @t302 (and (=> @t307 (= @t319 @t309)) (=> @t308 (= @t319 tptp.bot_bo1649642514l_bool))))) % 0.45/0.93 (assume @p330 (forall @t302 (and (=> @t311 (= @t321 @t313)) (=> @t312 (= @t321 tptp.bot_bo535777328l_bool))))) % 0.45/0.93 (assume @p331 (forall @t170 (= (tptp.collect_pname @t253) @t278))) % 0.45/0.93 (assume @p332 (forall @t170 (= (tptp.collec307967673_state @t256) @t281))) % 0.45/0.93 (assume @p333 (forall @t170 (= (tptp.collec1974731493e_bool @t258) @t309))) % 0.45/0.93 (assume @p334 (forall @t170 (= (tptp.collec1823980261e_bool @t260) @t313))) % 0.45/0.93 (assume @p335 (forall @t170 (= (tptp.collect_pname @t314) @t278))) % 0.45/0.93 (assume @p336 (forall @t170 (= (tptp.collec307967673_state @t316) @t281))) % 0.45/0.93 (assume @p337 (forall @t170 (= (tptp.collec1974731493e_bool @t318) @t309))) % 0.45/0.93 (assume @p338 (forall @t170 (= (tptp.collec1823980261e_bool @t320) @t313))) % 0.45/0.93 (assume @p339 (forall (@list @t71 @t12) (=> @t166 (=> (forall @t218 (=> @t226 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t232 @t322)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t13 (tptp.insert1415133716_state (tptp.hAPP_c1126217667_state tptp.hoare_Mirabelle_MGT (tptp.hAPP_pname_com tptp.body_1 @t217)) tptp.bot_bo620288102e_bool)))))) (=> @t162 (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t13 @t159))))))) % 0.45/0.93 (assume @p340 @t329) % 0.45/0.93 (assume @p341 (forall (@list @t174 @t117 @t29) (=> @t214 (not (forall @t218 (=> @t226 (=> (= @t174 @t272) @t234))))))) % 0.45/0.93 (assume @p342 (forall @t334 (=> @t39 (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t37) @t29)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t55 tptp.bot_bo844097828e_bool)) (=> (forall @t333 (=> (and (tptp.is_pname @t331) (tptp.is_fun_pname_bool @t330)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t330)) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t332 @t29)) (=> (not (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t332 @t330))) (=> (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t55 @t330)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t55 (tptp.insert_pname @t331 @t330))))))))) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t55 @t37)))))))) % 0.45/0.93 (assume @p343 (forall @t334 (=> @t45 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool @t37) @t29)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t55 tptp.bot_bo620288102e_bool)) (=> (forall @t333 (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state @t330)) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t335 @t29)) (=> (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t335 @t330))) (=> (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t55 @t330)) (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t55 (tptp.insert1415133716_state @t331 @t330)))))))) (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t55 @t37)))))))) % 0.45/0.93 (assume @p344 (forall @t334 (=> @t44 (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool tptp.ord_le675606854l_bool @t37) @t29)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t55 tptp.bot_bo1649642514l_bool)) (=> (forall @t333 (=> (and (tptp.is_fun_pname_bool @t331) (tptp.is_fun1661590463l_bool @t330)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool tptp.finite595471783e_bool @t330)) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t336 @t29)) (=> (not (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t336 @t330))) (=> (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t55 @t330)) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t55 (tptp.insert1325755072e_bool @t331 @t330))))))))) (tptp.hBOOL (tptp.hAPP_f1935102916l_bool @t55 @t37)))))))) % 0.45/0.93 (assume @p345 (forall @t334 (=> @t43 (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool tptp.ord_le287025148l_bool @t37) @t29)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t55 tptp.bot_bo535777328l_bool)) (=> (forall @t333 (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool tptp.finite464017571e_bool @t330)) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t337 @t29)) (=> (not (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t337 @t330))) (=> (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t55 @t330)) (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t55 (tptp.insert1556680138e_bool @t331 @t330)))))))) (tptp.hBOOL (tptp.hAPP_f166538662l_bool @t55 @t37)))))))) % 0.45/0.93 (assume @p346 (forall @t340 (=> (tptp.hBOOL (tptp.wt (tptp.hAPP_pname_com tptp.body_1 @t339))) (not (forall (@list @t338) (not (= (tptp.hAPP_p799580910on_com tptp.body @t339) (tptp.some_com @t338)))))))) % 0.45/0.93 (assume @p347 (forall @t341 (=> (forall @t218 (=> @t226 (=> @t233 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool @t232 @t124))))) @t201))) % 0.45/0.93 (assume @p348 (forall @t341 (=> (forall @t218 (=> @t231 (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t230 @t124)))) @t196))) % 0.45/0.93 (assume @p349 (forall @t296 (=> @t125 (=> @t128 (exists (@list @t342) (and (tptp.is_fun_pname_bool @t342) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool tptp.ord_le313189616e_bool @t342) @t29)) (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t342)) (= @t124 (tptp.image_2003357581_state @t117 @t342)))))))) % 0.45/0.93 (assume @p350 (tptp.hBOOL (tptp.hAPP_f1664156314l_bool tptp.finite_finite_pname @t322))) % 0.45/0.93 (assume @p351 (forall (@list @t344 @t343) (=> (and (tptp.is_pname @t344) (tptp.is_pname @t343)) (= (= (tptp.hAPP_pname_com tptp.body_1 @t344) (tptp.hAPP_pname_com tptp.body_1 @t343)) (= @t344 @t343))))) % 0.45/0.93 (assume @p352 (forall @t340 (or (not @t347) @t346))) % 0.45/0.93 (assume @p353 (forall @t340 (or @t345 @t347))) % 0.45/0.93 (assume @p354 (forall @t352 (or @t346 @t351 @t349))) % 0.45/0.93 (assume @p355 (forall @t354 (or @t353 @t345))) % 0.45/0.93 (assume @p356 (forall @t354 (or @t353 @t350))) % 0.45/0.93 (assume @p357 (forall @t352 (or @t346 @t355))) % 0.45/0.93 (assume @p358 (forall @t354 (or @t351 @t355))) % 0.45/0.93 (assume @p359 (forall @t354 (or (not @t355) @t345 @t350))) % 0.45/0.93 (assume @p360 (not (tptp.hBOOL tptp.fFalse))) % 0.45/0.93 (assume @p361 (forall @t340 (=> @t356 (or (= @t339 tptp.fTrue) (= @t339 tptp.fFalse))))) % 0.45/0.93 (assume @p362 (forall @t352 (or @t345 @t357))) % 0.45/0.93 (assume @p363 (forall @t354 (or @t351 @t357))) % 0.45/0.93 (assume @p364 (forall @t354 (or (not @t357) @t346 @t350))) % 0.45/0.93 (assume @p365 (forall @t362 (=> (and (tptp.is_pname @t359) (tptp.is_pname @t358)) (or (not @t361) @t360)))) % 0.45/0.93 (assume @p366 (forall @t362 (or @t363 @t361))) % 0.45/0.93 (assume @p367 (forall @t354 (=> @t356 (= (tptp.hAPP_pname_bool (tptp.cOMBK_bool_pname @t339) @t348) @t339)))) % 0.45/0.93 (assume @p368 (forall @t354 (=> @t364 (= (tptp.hAPP_pname_pname (tptp.cOMBK_pname_pname @t339) @t348) @t339)))) % 0.45/0.93 (assume @p369 (forall @t362 (=> (and (tptp.is_fun_pname_bool @t359) (tptp.is_fun_pname_bool @t358)) (or (not @t365) @t360)))) % 0.45/0.93 (assume @p370 (forall @t362 (or @t363 @t365))) % 0.45/0.93 (assume @p371 (forall @t368 (= (tptp.hAPP_pname_bool (tptp.cOMBB_647938656_pname @t339 @t348) @t366) (tptp.hAPP_bool_bool @t339 @t367)))) % 0.45/0.93 (assume @p372 (forall @t368 (= (tptp.hAPP_pname_bool (tptp.cOMBS_568398431l_bool @t339 @t348) @t366) (tptp.hAPP_bool_bool (tptp.hAPP_p393069232l_bool @t339 @t366) @t367)))) % 0.45/0.93 (assume @p373 (forall @t368 (= (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool (tptp.cOMBC_1149511130e_bool @t339) @t348) @t366) (tptp.hAPP_pname_bool (tptp.hAPP_p61793385e_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p374 (forall @t354 (=> @t356 (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBK_1857069011e_bool @t339) @t348) @t339)))) % 0.45/0.93 (assume @p375 (forall @t354 (=> @t364 (= (tptp.hAPP_f1297739591_pname (tptp.cOMBK_948730864e_bool @t339) @t348) @t339)))) % 0.45/0.93 (assume @p376 (forall @t354 (=> @t369 (= (tptp.hAPP_p61793385e_bool (tptp.cOMBK_37193422_pname @t339) @t348) @t339)))) % 0.45/0.93 (assume @p377 (forall @t362 (or (not @t370) @t360))) % 0.45/0.93 (assume @p378 (forall @t362 (or @t363 @t370))) % 0.45/0.93 (assume @p379 (forall @t368 (= (tptp.hAPP_pname_com (tptp.cOMBB_923936821_pname @t339 @t348) @t366) (tptp.hAPP_option_com_com @t339 (tptp.hAPP_p799580910on_com @t348 @t366))))) % 0.45/0.93 (assume @p380 (forall @t368 (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBB_307249310e_bool @t339 @t348) @t366) (tptp.hAPP_bool_bool @t339 @t371)))) % 0.45/0.93 (assume @p381 (forall @t368 (= (tptp.hAPP_p393069232l_bool (tptp.cOMBB_675860798_pname @t339 @t348) @t366) (tptp.hAPP_b589554111l_bool @t339 @t367)))) % 0.45/0.93 (assume @p382 (forall @t368 (= (tptp.hAPP_f1664156314l_bool (tptp.cOMBS_350070575l_bool @t339 @t348) @t366) (tptp.hAPP_bool_bool (tptp.hAPP_f1476298914l_bool @t339 @t366) @t371)))) % 0.45/0.93 (assume @p383 (forall @t368 (= (tptp.hAPP_pname_bool (tptp.hAPP_f759274231e_bool (tptp.cOMBC_1058051404l_bool @t339) @t348) @t366) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_p338031245l_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p384 (forall @t354 (=> @t356 (= (tptp.hAPP_H78829294e_bool (tptp.cOMBK_659609255_state @t339) @t348) @t339)))) % 0.45/0.93 (assume @p385 (forall @t354 (=> @t364 (= (tptp.hAPP_H1621176307_pname (tptp.cOMBK_168215364_state @t339) @t348) @t339)))) % 0.45/0.93 (assume @p386 (forall @t354 (= (tptp.hAPP_p1422361149_state (tptp.cOMBK_367030522_pname @t339) @t348) @t339))) % 0.45/0.93 (assume @p387 (forall @t362 (or (not @t372) @t360))) % 0.45/0.93 (assume @p388 (forall @t362 (or @t363 @t372))) % 0.45/0.93 (assume @p389 (forall @t368 (= (tptp.hAPP_p1422361149_state (tptp.cOMBB_699532858_pname @t339 @t348) @t366) (tptp.hAPP_c1126217667_state @t339 (tptp.hAPP_pname_com @t348 @t366))))) % 0.45/0.93 (assume @p390 (forall @t368 (= (tptp.hAPP_H78829294e_bool (tptp.cOMBB_2144135922_state @t339 @t348) @t366) (tptp.hAPP_bool_bool @t339 @t373)))) % 0.45/0.93 (assume @p391 (forall @t368 (= (tptp.hAPP_H78829294e_bool (tptp.cOMBS_458705923l_bool @t339 @t348) @t366) (tptp.hAPP_bool_bool (tptp.hAPP_H1187982158l_bool @t339 @t366) @t373)))) % 0.45/0.93 (assume @p392 (forall @t368 (= (tptp.hAPP_f1476298914l_bool (tptp.cOMBB_2095475776e_bool @t339 @t348) @t366) (tptp.hAPP_b589554111l_bool @t339 @t371)))) % 0.45/0.93 (assume @p393 (forall @t368 (= (tptp.hAPP_f1935102916l_bool (tptp.cOMBS_811933079l_bool @t339 @t348) @t366) (tptp.hAPP_bool_bool (tptp.hAPP_f32027384l_bool @t339 @t366) @t374)))) % 0.45/0.93 (assume @p394 (forall @t368 (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool (tptp.cOMBC_1284144636l_bool @t339) @t348) @t366) (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f434788991l_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p395 (forall @t354 (=> @t356 (= (tptp.hAPP_f971112728l_bool (tptp.cOMBK_129401207e_bool @t339) @t348) @t339)))) % 0.45/0.93 (assume @p396 (forall @t354 (=> @t364 (= (tptp.hAPP_f560369737_pname (tptp.cOMBK_1589414042e_bool @t339) @t348) @t339)))) % 0.45/0.93 (assume @p397 (forall @t354 (= (tptp.hAPP_f888949707_state (tptp.cOMBK_1503445380e_bool @t339) @t348) @t339))) % 0.45/0.93 (assume @p398 (forall @t354 (=> @t369 (= (tptp.hAPP_H356885323e_bool (tptp.cOMBK_2035509764_state @t339) @t348) @t339)))) % 0.45/0.93 (assume @p399 (forall @t354 (= (tptp.hAPP_p442853985e_bool (tptp.cOMBK_1706929794_pname @t339) @t348) @t339))) % 0.45/0.93 (assume @p400 (forall @t368 (= (tptp.hAPP_f971112728l_bool (tptp.cOMBB_1522210668e_bool @t339 @t348) @t366) (tptp.hAPP_bool_bool @t339 @t375)))) % 0.45/0.93 (assume @p401 (forall @t368 (= (tptp.hAPP_H1187982158l_bool (tptp.cOMBB_962198420_state @t339 @t348) @t366) (tptp.hAPP_b589554111l_bool @t339 @t373)))) % 0.45/0.93 (assume @p402 (forall @t368 (= (tptp.hAPP_f971112728l_bool (tptp.cOMBS_2066081387l_bool @t339 @t348) @t366) (tptp.hAPP_bool_bool (tptp.hAPP_f637090980l_bool @t339 @t366) @t375)))) % 0.45/0.93 (assume @p403 (forall @t368 (= (tptp.hAPP_f32027384l_bool (tptp.cOMBB_689948150l_bool @t339 @t348) @t366) (tptp.hAPP_b589554111l_bool @t339 @t374)))) % 0.45/0.93 (assume @p404 (forall @t368 (= (tptp.hAPP_f1664156314l_bool (tptp.hAPP_f559147733l_bool (tptp.cOMBC_1988546018l_bool @t339) @t348) @t366) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f556039215l_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p405 (forall @t354 (=> @t356 (= (tptp.hAPP_f166538662l_bool (tptp.cOMBK_482404831l_bool @t339) @t348) @t339)))) % 0.45/0.93 (assume @p406 (forall @t368 (= (tptp.hAPP_H78829294e_bool (tptp.hAPP_H1049623551e_bool (tptp.cOMBC_654211620e_bool @t339) @t348) @t366) (tptp.hAPP_H78829294e_bool (tptp.hAPP_H1049623551e_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p407 (forall @t368 (= (tptp.hAPP_f637090980l_bool (tptp.cOMBB_1585081418e_bool @t339 @t348) @t366) (tptp.hAPP_b589554111l_bool @t339 @t375)))) % 0.45/0.93 (assume @p408 (forall @t368 (= (tptp.hAPP_f166538662l_bool (tptp.cOMBS_1358309691l_bool @t339 @t348) @t366) (tptp.hAPP_bool_bool (tptp.hAPP_f2143399574l_bool @t339 @t366) @t376)))) % 0.45/0.93 (assume @p409 (forall @t354 (= (tptp.hAPP_f1387463497_state (tptp.cOMBK_701929478e_bool @t339) @t348) @t339))) % 0.45/0.93 (assume @p410 (forall @t354 (= (tptp.hAPP_H1049623551e_bool (tptp.cOMBK_1039769424_state @t339) @t348) @t339))) % 0.45/0.93 (assume @p411 (forall @t368 (= (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool (tptp.cOMBC_7971162l_bool @t339) @t348) @t366) (tptp.hAPP_f1935102916l_bool (tptp.hAPP_f510955609l_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p412 (forall @t368 (= (tptp.hAPP_H78829294e_bool (tptp.hAPP_f98417237e_bool (tptp.cOMBC_1734175330l_bool @t339) @t348) @t366) (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p413 (forall @t368 (= (tptp.hAPP_f2143399574l_bool (tptp.cOMBB_404111180l_bool @t339 @t348) @t366) (tptp.hAPP_b589554111l_bool @t339 @t376)))) % 0.45/0.93 (assume @p414 (forall @t368 (= (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool (tptp.cOMBC_449066458l_bool @t339) @t348) @t366) (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p415 (forall @t368 (= (tptp.hAPP_f389811538l_bool (tptp.hAPP_f1759205631l_bool (tptp.cOMBC_336095980l_bool @t339) @t348) @t366) (tptp.hAPP_f389811538l_bool (tptp.hAPP_f1759205631l_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p416 (forall @t368 (= (tptp.hAPP_f971112728l_bool (tptp.hAPP_f1201187855l_bool (tptp.cOMBC_1114453604l_bool @t339) @t348) @t366) (tptp.hAPP_f166538662l_bool (tptp.hAPP_f210337421l_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p417 (forall @t368 (= (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool (tptp.cOMBC_1691491604l_bool @t339) @t348) @t366) (tptp.hAPP_f166538662l_bool (tptp.hAPP_f585161855l_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p418 (forall @t368 (= (tptp.hAPP_f468958928l_bool (tptp.hAPP_f667366769l_bool (tptp.cOMBC_747715418l_bool @t339) @t348) @t366) (tptp.hAPP_f468958928l_bool (tptp.hAPP_f667366769l_bool @t339 @t366) @t348)))) % 0.45/0.93 (assume @p419 @t166) % 0.45/0.93 (assume @p420 @t164) % 0.45/0.93 (assume @p421 (tptp.hBOOL (tptp.hAPP_f971112728l_bool tptp.finite364844667_state tptp.fa))) % 0.45/0.93 (assume @p422 (not (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_H30606679l_bool tptp.member1338687867_state @t377) tptp.fa)))) % 0.45/0.93 (assume @p423 (tptp.hBOOL (tptp.hAPP_f971112728l_bool (tptp.hAPP_f72706945l_bool tptp.ord_le1285840794e_bool tptp.fa) (tptp.image_2003357581_state (tptp.cOMBB_699532858_pname tptp.hoare_Mirabelle_MGT (tptp.cOMBB_923936821_pname tptp.the_com tptp.body)) @t322)))) % 0.45/0.93 (assume @p424 @t378) % 0.45/0.93 (assume @p425 (tptp.hBOOL (tptp.hAPP_f971112728l_bool @t380 tptp.fa))) % 0.45/0.93 (assume @p426 (not @t382)) % 0.45/0.93 (assume @p427 true) % 0.45/0.93 (step @p428 :rule aci_norm :args ((= (or @t384 (or @t383 @t15)) @t385))) % 0.45/0.93 (step @p429 :rule bool-impl-elim :args (@t21 @t15)) % 0.45/0.93 (step @p430 :rule refl :args (@t384)) % 0.45/0.93 (step @p431 :rule nary_cong :premises (@p430 @p429) :args ((or @t384 @t22))) % 0.45/0.93 (step @p432 :rule trans :premises (@p431 @p428)) % 0.45/0.93 (step @p433 :rule bool-impl-elim :args (@t19 @t22)) % 0.45/0.93 (step @p434 :rule trans :premises (@p433 @p432)) % 0.45/0.93 (step @p435 :rule cong :premises (@p434) :args (@t23)) % 0.45/0.93 (step @p436 :rule eq_resolve :premises (@p58 @p435)) % 0.45/0.93 (step @p437 :rule quant-miniscope-or :args ((= (forall @t167 @t391) (or @t390 @t389 @t388)))) % 0.45/0.93 (step @p438 :rule aci_norm :args ((= @t392 @t391))) % 0.45/0.93 (step @p439 :rule cong :premises (@p438) :args ((forall @t167 @t392))) % 0.45/0.93 (step @p440 :rule trans :premises (@p439 @p437)) % 0.45/0.93 (step @p441 :rule aci_norm :args ((= (or @t390 @t393) @t392))) % 0.45/0.93 (step @p442 :rule aci_norm :args ((= (or @t389 @t387) @t393))) % 0.45/0.93 (step @p443 :rule bool-impl-elim :args (@t162 @t161)) % 0.45/0.93 (step @p444 :rule refl :args (@t389)) % 0.45/0.93 (step @p445 :rule nary_cong :premises (@p444 @p443) :args ((or @t389 @t163))) % 0.45/0.93 (step @p446 :rule trans :premises (@p445 @p442)) % 0.45/0.93 (step @p447 :rule bool-impl-elim :args (@t164 @t163)) % 0.45/0.93 (step @p448 :rule trans :premises (@p447 @p446)) % 0.45/0.93 (step @p449 :rule refl :args (@t390)) % 0.45/0.93 (step @p450 :rule nary_cong :premises (@p449 @p448) :args ((or @t390 @t165))) % 0.45/0.93 (step @p451 :rule trans :premises (@p450 @p441)) % 0.45/0.93 (step @p452 :rule bool-impl-elim :args (@t166 @t165)) % 0.45/0.93 (step @p453 :rule trans :premises (@p452 @p451)) % 0.45/0.93 (step @p454 :rule cong :premises (@p453) :args (@t168)) % 0.45/0.93 (step @p455 :rule trans :premises (@p454 @p440)) % 0.45/0.93 (step @p456 :rule eq_resolve :premises (@p157 @p455)) % 0.45/0.93 (step @p457 :rule chain_m_resolution :premises (@p456 @p419 @p420) :args (@t388 @t394 (@list @t166 @t164))) % 0.45/0.93 (step @p458 :rule instantiate :premises (@p457) :args ((@list tptp.y))) % 0.45/0.93 (step @p459 :rule quant-miniscope-or :args ((= (forall @t328 @t398) (or @t389 @t397)))) % 0.45/0.93 (step @p460 :rule aci_norm :args ((= @t399 @t398))) % 0.45/0.93 (step @p461 :rule cong :premises (@p460) :args ((forall @t328 @t399))) % 0.45/0.93 (step @p462 :rule trans :premises (@p461 @p459)) % 0.45/0.93 (step @p463 :rule aci_norm :args ((= @t398 @t399))) % 0.45/0.93 (step @p464 :rule bool-impl-elim :args (@t326 @t324)) % 0.45/0.93 (step @p465 :rule nary_cong :premises (@p444 @p464) :args ((or @t389 @t327))) % 0.45/0.93 (step @p466 :rule trans :premises (@p465 @p463)) % 0.45/0.93 (step @p467 :rule bool-impl-elim :args (@t164 @t327)) % 0.45/0.93 (step @p468 :rule trans :premises (@p467 @p466)) % 0.45/0.93 (step @p469 :rule cong :premises (@p468) :args (@t329)) % 0.45/0.93 (step @p470 :rule trans :premises (@p469 @p462)) % 0.45/0.93 (step @p471 :rule eq_resolve :premises (@p340 @p470)) % 0.45/0.93 (step @p472 :rule chain_m_resolution :premises (@p471 @p420) :args (@t397 (@list false) (@list @t164))) % 0.45/0.93 (step @p473 :rule instantiate :premises (@p472) :args ((@list tptp.pn tptp.y))) % 0.45/0.93 (step @p474 :rule cnf_or_pos :args (@t402)) % 0.45/0.93 (step @p475 :rule reordering :premises (@p474) :args ((or @t401 @t400 (not @t402)))) % 0.45/0.93 (step @p476 :rule chain_m_resolution :premises (@p475 @p424 @p473) :args (@t400 @t394 (@list @t378 @t402))) % 0.45/0.93 (step @p477 :rule cnf_or_pos :args (@t405)) % 0.45/0.93 (step @p478 :rule reordering :premises (@p477) :args ((or @t404 @t403 (not @t405)))) % 0.45/0.93 (step @p479 :rule chain_m_resolution :premises (@p478 @p476 @p458) :args (@t403 @t394 (@list @t400 @t405))) % 0.45/0.93 (step @p480 :rule instantiate :premises (@p54) :args ((@list @t379))) % 0.45/0.93 (step @p481 :rule cnf_or_pos :args (@t409)) % 0.45/0.93 (step @p482 :rule reordering :premises (@p481) :args ((or @t382 @t407 @t408 @t410))) % 0.45/0.93 (step @p483 :rule chain_m_resolution :premises (@p482 @p426 @p480 @p479) :args (@t410 (@list true false false) (@list @t382 @t406 @t403))) % 0.45/0.93 (assume-push @p490 @t411) % 0.45/0.93 (step @p485 :rule instantiate :premises (@p436) :args ((@list @t379 tptp.bot_bo620288102e_bool @t381))) % 0.45/0.93 (step-pop @p491 :rule scope :premises (@p485)) % 0.45/0.93 (step @p486 :rule process_scope :premises (@p491) :args (@t409)) % 0.45/0.93 (step @p488 :rule implies_elim :premises (@p486)) % 0.45/0.93 (step @p489 false :rule chain_m_resolution :premises (@p488 @p483 @p436) :args (false (@list true false) (@list @t409 @t411))) % 0.45/0.93 ) % 0.45/0.93 % SZS output end Proof % 0.45/0.94 % cvc5 exiting %------------------------------------------------------------------------------