%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW470+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 : n022.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 09:04:59 AM UTC 2026 % Result : Theorem 0.38s 0.82s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW470+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 % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 22:02:38 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.54 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.82 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.82 % SZS status Theorem % 0.38/0.82 % SZS output start Proof % 0.38/0.82 ( % 0.38/0.82 (declare-sort $$unsorted 0) % 0.38/0.82 (declare-const tptp.g $$unsorted) % 0.38/0.82 (declare-const tptp.c $$unsorted) % 0.38/0.82 (declare-const tptp.b $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_f963367678e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBC_892787026e_bool $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_H1877746411l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f644196280e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBS_1378840469l_bool $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_b2019457360e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f167292325e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBB_145932198bool_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_s58564346l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f1759915619e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.finite506133020iple_a $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_H401672213iple_a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_a723219176e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_H568064713iple_a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBB_160679318_state (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.finite388748825iple_a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_b589554111l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.the_Ho1745054714iple_a $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_f1447988451a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBK_bool_state (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBB_545742339iple_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f1945881407l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBK_1458035955bool_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f1824947087e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBC_231445413l_bool $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_f1509969235l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.38/0.82 (declare-const tptp.hAPP_f1400872321a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_H1816261935a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.insert1871499715iple_a $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_state_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBC_41962815e_bool $$unsorted) % 0.38/0.82 (declare-const tptp.p $$unsorted) % 0.38/0.82 (declare-const tptp.finite520909254iple_a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.bot_bo1687970473a_bool $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_H1926610125l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBB_1348041619bool_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBK_1150238960iple_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.finite1734202118iple_a (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.is_bool (-> $$unsorted Bool)) % 0.38/0.82 (declare-const tptp.finite233325225iple_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f340725611e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f1170963427a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.fequal1878252616iple_a $$unsorted) % 0.38/0.82 (declare-const tptp.cOMBB_188601460_state (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hoare_472868247rivs_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.member564727580iple_a $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_b540892988e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.fdisj $$unsorted) % 0.38/0.82 (declare-const tptp.fFalse $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_s1806633685e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.collec1266446174iple_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.semi (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hoare_1050552211iple_a (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_bool_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBS_213702372l_bool $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_f1261923407e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_a2036067514e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.fimplies $$unsorted) % 0.38/0.82 (declare-const tptp.fconj $$unsorted) % 0.38/0.82 (declare-const tptp.finite1948426435iple_a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBC_1089176504a_bool $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_f1915402821a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f817621513e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_H562195827a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBB_633860163iple_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f762886889e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBC_2027030106e_bool $$unsorted) % 0.38/0.82 (declare-const tptp.fNot $$unsorted) % 0.38/0.82 (declare-const tptp.bot_bot_bool $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_f13210641l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_a1200519163e_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.fequal_state $$unsorted) % 0.38/0.82 (declare-const tptp.cOMBC_2049287834a_bool $$unsorted) % 0.38/0.82 (declare-const tptp.cOMBB_650444389iple_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f1104866853a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.fTrue $$unsorted) % 0.38/0.82 (declare-const tptp.cOMBC_2067518550l_bool $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_a849909144l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f945663555a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.the_el287271400iple_a $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_f1826273671iple_a (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f1259673775l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.cOMBB_1355796797bool_a (-> $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.skip $$unsorted) % 0.38/0.82 (declare-const tptp.hAPP_f1753944735l_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_f1874567875a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.hAPP_H1927961489a_bool (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.82 (declare-const tptp.fequal1765155200a_bool $$unsorted) % 0.38/0.82 (define @t1 () (@var "B_2" $$unsorted)) % 0.38/0.82 (define @t2 () (@var "B_1_1" $$unsorted)) % 0.38/0.82 (define @t3 () (@list @t2 @t1)) % 0.38/0.82 (define @t4 () (tptp.is_bool tptp.fFalse)) % 0.38/0.82 (define @t5 () (@var "Ga" $$unsorted)) % 0.38/0.82 (define @t6 () (tptp.hoare_472868247rivs_a @t5)) % 0.38/0.82 (define @t7 () (@var "Fun2_1" $$unsorted)) % 0.38/0.82 (define @t8 () (@var "Fun2_2" $$unsorted)) % 0.38/0.82 (define @t9 () (@var "Com_1" $$unsorted)) % 0.38/0.82 (define @t10 () (@var "Com_2" $$unsorted)) % 0.38/0.82 (define @t11 () (@var "Fun1_1" $$unsorted)) % 0.38/0.82 (define @t12 () (@var "Fun1_2" $$unsorted)) % 0.38/0.82 (define @t13 () (@var "Ts" $$unsorted)) % 0.38/0.82 (define @t14 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 @t13))) % 0.38/0.82 (define @t15 () (@var "G_1" $$unsorted)) % 0.38/0.82 (define @t16 () (@var "T" $$unsorted)) % 0.38/0.82 (define @t17 () (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a @t16)) % 0.38/0.82 (define @t18 () (@var "Q_1" $$unsorted)) % 0.38/0.82 (define @t19 () (@var "Ca" $$unsorted)) % 0.38/0.82 (define @t20 () (@var "C" $$unsorted)) % 0.38/0.82 (define @t21 () (@var "Pa" $$unsorted)) % 0.38/0.82 (define @t22 () (tptp.cOMBB_1355796797bool_a (tptp.cOMBB_188601460_state tptp.fconj))) % 0.38/0.82 (define @t23 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t21 @t19 @t18)) tptp.bot_bo1687970473a_bool)))) % 0.38/0.82 (define @t24 () (@var "Z_1" $$unsorted)) % 0.38/0.82 (define @t25 () (tptp.hAPP_a2036067514e_bool @t18 @t24)) % 0.38/0.82 (define @t26 () (@var "S" $$unsorted)) % 0.38/0.82 (define @t27 () (tptp.hAPP_f817621513e_bool tptp.cOMBC_2027030106e_bool tptp.fequal_state)) % 0.38/0.82 (define @t28 () (tptp.cOMBK_1458035955bool_a (tptp.hAPP_s1806633685e_bool @t27 @t26))) % 0.38/0.82 (define @t29 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t28 @t19 (tptp.cOMBK_1458035955bool_a @t25))) tptp.bot_bo1687970473a_bool)))) % 0.38/0.82 (define @t30 () (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_a2036067514e_bool @t21 @t24) @t26))) % 0.38/0.82 (define @t31 () (@list @t24 @t26)) % 0.38/0.82 (define @t32 () (forall @t31 (=> @t30 @t29))) % 0.38/0.82 (define @t33 () (=> @t32 @t23)) % 0.38/0.82 (define @t34 () (@list @t5 @t19 @t18 @t21)) % 0.38/0.82 (define @t35 () (forall @t34 @t33)) % 0.38/0.82 (define @t36 () (@var "Q_3" $$unsorted)) % 0.38/0.82 (define @t37 () (@var "P_2" $$unsorted)) % 0.38/0.82 (define @t38 () (@var "S_1" $$unsorted)) % 0.38/0.82 (define @t39 () (tptp.hBOOL (tptp.hAPP_state_bool @t25 @t38))) % 0.38/0.82 (define @t40 () (@var "Z_2" $$unsorted)) % 0.38/0.82 (define @t41 () (@list @t40)) % 0.38/0.82 (define @t42 () (@list @t38)) % 0.38/0.82 (define @t43 () (@var "A" $$unsorted)) % 0.38/0.82 (define @t44 () (@var "A_3" $$unsorted)) % 0.38/0.82 (define @t45 () (tptp.hAPP_H1926610125l_bool tptp.member564727580iple_a @t44)) % 0.38/0.82 (define @t46 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t45 @t43))) % 0.38/0.82 (define @t47 () (@var "Ba" $$unsorted)) % 0.38/0.82 (define @t48 () (= @t44 @t47)) % 0.38/0.82 (define @t49 () (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a @t47)) % 0.38/0.82 (define @t50 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t45 (tptp.hAPP_f1400872321a_bool @t49 @t43)))) % 0.38/0.82 (define @t51 () (@list @t44 @t47 @t43)) % 0.38/0.82 (define @t52 () (@var "B_1" $$unsorted)) % 0.38/0.82 (define @t53 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t45 (tptp.hAPP_f1400872321a_bool @t49 @t52)))) % 0.38/0.82 (define @t54 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t45 @t52))) % 0.38/0.82 (define @t55 () (@list @t47 @t44 @t52)) % 0.38/0.82 (define @t56 () (@list @t44)) % 0.38/0.82 (define @t57 () (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a @t44)) % 0.38/0.82 (define @t58 () (tptp.hAPP_f1400872321a_bool @t57 tptp.bot_bo1687970473a_bool)) % 0.38/0.82 (define @t59 () (tptp.hAPP_H562195827a_bool tptp.fequal1878252616iple_a @t44)) % 0.38/0.82 (define @t60 () (tptp.hAPP_f1915402821a_bool tptp.cOMBC_2049287834a_bool tptp.fequal1878252616iple_a)) % 0.38/0.82 (define @t61 () (tptp.hAPP_H562195827a_bool @t60 @t44)) % 0.38/0.82 (define @t62 () (tptp.cOMBB_633860163iple_a tptp.fconj)) % 0.38/0.82 (define @t63 () (tptp.collec1266446174iple_a (tptp.hAPP_f1400872321a_bool (tptp.hAPP_f1104866853a_bool tptp.cOMBS_213702372l_bool (tptp.hAPP_f13210641l_bool @t62 @t59)) @t21))) % 0.38/0.82 (define @t64 () (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t21 @t44))) % 0.38/0.82 (define @t65 () (not @t64)) % 0.38/0.82 (define @t66 () (@list @t21 @t44)) % 0.38/0.82 (define @t67 () (tptp.collec1266446174iple_a (tptp.hAPP_f1400872321a_bool (tptp.hAPP_f1104866853a_bool tptp.cOMBS_213702372l_bool (tptp.hAPP_f13210641l_bool @t62 @t61)) @t21))) % 0.38/0.82 (define @t68 () (not @t46)) % 0.38/0.82 (define @t69 () (= @t43 tptp.bot_bo1687970473a_bool)) % 0.38/0.82 (define @t70 () (@list @t44 @t43)) % 0.38/0.82 (define @t71 () (@var "X_2" $$unsorted)) % 0.38/0.82 (define @t72 () (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t21 @t71))) % 0.38/0.82 (define @t73 () (@list @t71)) % 0.38/0.82 (define @t74 () (forall @t73 (not @t72))) % 0.38/0.82 (define @t75 () (tptp.collec1266446174iple_a @t21)) % 0.38/0.82 (define @t76 () (@list @t21)) % 0.38/0.82 (define @t77 () (not @t69)) % 0.38/0.82 (define @t78 () (tptp.hAPP_H1926610125l_bool tptp.member564727580iple_a @t71)) % 0.38/0.82 (define @t79 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t78 @t43))) % 0.38/0.82 (define @t80 () (@list @t43)) % 0.38/0.82 (define @t81 () (tptp.hAPP_f1400872321a_bool @t57 @t43)) % 0.38/0.82 (define @t82 () (@var "X_1" $$unsorted)) % 0.38/0.82 (define @t83 () (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a @t82)) % 0.38/0.82 (define @t84 () (tptp.hAPP_f1400872321a_bool @t83 @t43)) % 0.38/0.82 (define @t85 () (tptp.hAPP_H1926610125l_bool tptp.member564727580iple_a @t82)) % 0.38/0.82 (define @t86 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t85 @t43))) % 0.38/0.82 (define @t87 () (not @t86)) % 0.38/0.82 (define @t88 () (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t43 @t82))) % 0.38/0.82 (define @t89 () (@var "Y_2" $$unsorted)) % 0.38/0.82 (define @t90 () (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a @t89)) % 0.38/0.82 (define @t91 () (tptp.hAPP_f1400872321a_bool @t90 @t43)) % 0.38/0.82 (define @t92 () (@list @t82 @t43)) % 0.38/0.82 (define @t93 () (@list @t44 @t21)) % 0.38/0.82 (define @t94 () (tptp.hAPP_f945663555a_bool tptp.cOMBC_2067518550l_bool tptp.member564727580iple_a)) % 0.38/0.82 (define @t95 () (tptp.cOMBB_633860163iple_a tptp.fdisj)) % 0.38/0.82 (define @t96 () (tptp.hAPP_f1400872321a_bool @t57 @t52)) % 0.38/0.82 (define @t97 () (@list @t44 @t52)) % 0.38/0.82 (define @t98 () (@var "Xa" $$unsorted)) % 0.38/0.82 (define @t99 () (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a @t71)) % 0.38/0.82 (define @t100 () (tptp.hAPP_f1400872321a_bool @t49 tptp.bot_bo1687970473a_bool)) % 0.38/0.82 (define @t101 () (= @t47 @t44)) % 0.38/0.82 (define @t102 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool (tptp.hAPP_H1926610125l_bool tptp.member564727580iple_a @t47) @t58))) % 0.38/0.82 (define @t103 () (@list @t47 @t44)) % 0.38/0.82 (define @t104 () (@var "D" $$unsorted)) % 0.38/0.82 (define @t105 () (tptp.hAPP_f1400872321a_bool @t83 tptp.bot_bo1687970473a_bool)) % 0.38/0.82 (define @t106 () (@list @t82)) % 0.38/0.82 (define @t107 () (tptp.hBOOL tptp.bot_bot_bool)) % 0.38/0.82 (define @t108 () (tptp.hBOOL (tptp.hAPP_H1927961489a_bool tptp.bot_bo1687970473a_bool @t71))) % 0.38/0.82 (define @t109 () (@var "R_1" $$unsorted)) % 0.38/0.82 (define @t110 () (@var "Fun2" $$unsorted)) % 0.38/0.82 (define @t111 () (@var "Com" $$unsorted)) % 0.38/0.82 (define @t112 () (@var "Fun1" $$unsorted)) % 0.38/0.82 (define @t113 () (@var "B" $$unsorted)) % 0.38/0.82 (define @t114 () (@list @t113)) % 0.38/0.82 (define @t115 () (@var "Com2_2" $$unsorted)) % 0.38/0.82 (define @t116 () (@var "Com1_2" $$unsorted)) % 0.38/0.82 (define @t117 () (tptp.semi @t116 @t115)) % 0.38/0.82 (define @t118 () (@list @t116 @t115)) % 0.38/0.82 (define @t119 () (@var "X_3" $$unsorted)) % 0.38/0.82 (define @t120 () (@var "Com2" $$unsorted)) % 0.38/0.82 (define @t121 () (@var "Com2_1" $$unsorted)) % 0.38/0.82 (define @t122 () (@var "Com1" $$unsorted)) % 0.38/0.82 (define @t123 () (@var "Com1_1" $$unsorted)) % 0.38/0.82 (define @t124 () (tptp.hAPP_f1826273671iple_a tptp.the_Ho1745054714iple_a (tptp.hAPP_f1400872321a_bool (tptp.hAPP_f1104866853a_bool tptp.cOMBS_213702372l_bool (tptp.hAPP_f13210641l_bool @t62 (tptp.hAPP_f1400872321a_bool (tptp.cOMBB_650444389iple_a (tptp.hAPP_b589554111l_bool tptp.fimplies @t21)) (tptp.hAPP_H562195827a_bool @t60 @t82)))) (tptp.hAPP_f1400872321a_bool (tptp.cOMBB_650444389iple_a (tptp.hAPP_b589554111l_bool tptp.fimplies (tptp.hAPP_bool_bool tptp.fNot @t21))) (tptp.hAPP_H562195827a_bool @t60 @t89))))) % 0.38/0.82 (define @t125 () (tptp.hBOOL @t21)) % 0.38/0.82 (define @t126 () (@var "Y_1" $$unsorted)) % 0.38/0.82 (define @t127 () (@list @t126)) % 0.38/0.82 (define @t128 () (tptp.hAPP_f1826273671iple_a tptp.the_Ho1745054714iple_a @t21)) % 0.38/0.82 (define @t129 () (= @t128 @t44)) % 0.38/0.82 (define @t130 () (forall @t73 (=> @t72 (= @t71 @t44)))) % 0.38/0.82 (define @t131 () (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t21 @t128))) % 0.38/0.82 (define @t132 () (exists @t73 (and @t72 (forall @t127 (=> (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t21 @t126)) (= @t126 @t71)))))) % 0.38/0.82 (define @t133 () (@var "Q_2" $$unsorted)) % 0.38/0.82 (define @t134 () (@var "P_1" $$unsorted)) % 0.38/0.82 (define @t135 () (@var "F_1" $$unsorted)) % 0.38/0.82 (define @t136 () (@var "F" $$unsorted)) % 0.38/0.82 (define @t137 () (tptp.hBOOL (tptp.finite520909254iple_a @t135 @t136))) % 0.38/0.82 (define @t138 () (@list @t82 @t135 @t136)) % 0.38/0.82 (define @t139 () (tptp.finite388748825iple_a @t135 @t43)) % 0.38/0.82 (define @t140 () (tptp.hAPP_f1826273671iple_a @t136 @t43)) % 0.38/0.82 (define @t141 () (tptp.hAPP_H568064713iple_a @t135 @t82)) % 0.38/0.82 (define @t142 () (tptp.hAPP_H401672213iple_a @t141 @t140)) % 0.38/0.82 (define @t143 () (=> @t77 (= (tptp.hAPP_f1826273671iple_a @t136 @t84) @t142))) % 0.38/0.82 (define @t144 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a @t43))) % 0.38/0.82 (define @t145 () (@list @t82 @t43 @t135 @t136)) % 0.38/0.82 (define @t146 () (tptp.finite233325225iple_a @t135)) % 0.38/0.82 (define @t147 () (tptp.hAPP_f1826273671iple_a @t146 @t43)) % 0.38/0.82 (define @t148 () (@list @t135 @t43)) % 0.38/0.82 (define @t149 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a (tptp.collec1266446174iple_a @t18)))) % 0.38/0.82 (define @t150 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a @t75))) % 0.38/0.82 (define @t151 () (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a tptp.bot_bo1687970473a_bool)) % 0.38/0.82 (define @t152 () (tptp.hBOOL @t151)) % 0.38/0.82 (define @t153 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a @t81))) % 0.38/0.82 (define @t154 () (@list @t43 @t135 @t136)) % 0.38/0.82 (define @t155 () (@var "Z" $$unsorted)) % 0.38/0.82 (define @t156 () (tptp.finite1734202118iple_a @t135 @t155 tptp.bot_bo1687970473a_bool)) % 0.38/0.82 (define @t157 () (tptp.finite1734202118iple_a @t135 @t155 @t43)) % 0.38/0.82 (define @t158 () (@var "G" $$unsorted)) % 0.38/0.82 (define @t159 () (tptp.hAPP_H401672213iple_a (tptp.hAPP_H568064713iple_a @t135 @t71) @t126)) % 0.38/0.82 (define @t160 () (@var "A_1" $$unsorted)) % 0.38/0.82 (define @t161 () (@var "A_2" $$unsorted)) % 0.38/0.82 (define @t162 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool (tptp.hAPP_H1926610125l_bool tptp.member564727580iple_a @t161) @t160))) % 0.38/0.82 (define @t163 () (tptp.finite1734202118iple_a @t135 @t161 @t160)) % 0.38/0.82 (define @t164 () (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a @t161) @t160)) % 0.38/0.82 (define @t165 () (tptp.hAPP_f1400872321a_bool @t57 @t119)) % 0.38/0.82 (define @t166 () (@var "X1" $$unsorted)) % 0.38/0.82 (define @t167 () (@list @t166)) % 0.38/0.82 (define @t168 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t21 @t136))) % 0.38/0.82 (define @t169 () (@var "F_2" $$unsorted)) % 0.38/0.82 (define @t170 () (=> (not (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t78 @t169))) (=> (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t21 @t169)) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t21 (tptp.hAPP_f1400872321a_bool @t99 @t169)))))) % 0.38/0.82 (define @t171 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a @t169))) % 0.38/0.82 (define @t172 () (@list @t71 @t169)) % 0.38/0.82 (define @t173 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a @t136))) % 0.38/0.82 (define @t174 () (@list @t21 @t136)) % 0.38/0.82 (define @t175 () (@var "A2" $$unsorted)) % 0.38/0.82 (define @t176 () (@var "A1" $$unsorted)) % 0.38/0.82 (define @t177 () (tptp.hBOOL (tptp.finite1948426435iple_a @t135 @t136))) % 0.38/0.82 (define @t178 () (@var "P" $$unsorted)) % 0.38/0.82 (define @t179 () (tptp.hBOOL @t178)) % 0.38/0.82 (define @t180 () (not @t179)) % 0.38/0.82 (define @t181 () (tptp.hBOOL (tptp.hAPP_bool_bool tptp.fNot @t178))) % 0.38/0.82 (define @t182 () (@list @t178)) % 0.38/0.82 (define @t183 () (@var "Q" $$unsorted)) % 0.38/0.82 (define @t184 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fconj @t178) @t183))) % 0.38/0.82 (define @t185 () (tptp.hBOOL @t183)) % 0.38/0.82 (define @t186 () (not @t185)) % 0.38/0.82 (define @t187 () (@list @t183 @t178)) % 0.38/0.82 (define @t188 () (not @t184)) % 0.38/0.82 (define @t189 () (@list @t178 @t183)) % 0.38/0.82 (define @t190 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fdisj @t178) @t183))) % 0.38/0.82 (define @t191 () (tptp.hBOOL tptp.fFalse)) % 0.38/0.82 (define @t192 () (not @t191)) % 0.38/0.82 (define @t193 () (or (= @t178 tptp.fTrue) (= @t178 tptp.fFalse))) % 0.38/0.82 (define @t194 () (tptp.is_bool @t178)) % 0.38/0.82 (define @t195 () (=> @t194 @t193)) % 0.38/0.82 (define @t196 () (forall @t182 @t195)) % 0.38/0.82 (define @t197 () (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.fimplies @t178) @t183))) % 0.38/0.82 (define @t198 () (@var "Y" $$unsorted)) % 0.38/0.82 (define @t199 () (@var "X" $$unsorted)) % 0.38/0.82 (define @t200 () (= @t199 @t198)) % 0.38/0.82 (define @t201 () (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool tptp.fequal_state @t199) @t198))) % 0.38/0.82 (define @t202 () (@list @t199 @t198)) % 0.38/0.82 (define @t203 () (not @t200)) % 0.38/0.82 (define @t204 () (tptp.hAPP_state_bool (tptp.cOMBK_bool_state @t178) @t183)) % 0.38/0.82 (define @t205 () (=> @t194 (= @t204 @t178))) % 0.38/0.82 (define @t206 () (forall @t189 @t205)) % 0.38/0.82 (define @t207 () (tptp.hAPP_a2036067514e_bool (tptp.cOMBK_1458035955bool_a @t178) @t183)) % 0.38/0.82 (define @t208 () (forall @t189 (= @t207 @t178))) % 0.38/0.82 (define @t209 () (@var "R" $$unsorted)) % 0.38/0.82 (define @t210 () (tptp.hAPP_state_bool @t183 @t209)) % 0.38/0.82 (define @t211 () (@list @t178 @t183 @t209)) % 0.38/0.82 (define @t212 () (tptp.hAPP_s58564346l_bool @t178 @t209)) % 0.38/0.82 (define @t213 () (tptp.hBOOL (tptp.hAPP_H1927961489a_bool (tptp.hAPP_H562195827a_bool tptp.fequal1878252616iple_a @t199) @t198))) % 0.38/0.82 (define @t214 () (tptp.hBOOL (tptp.hAPP_f1753944735l_bool (tptp.hAPP_f1945881407l_bool tptp.fequal1765155200a_bool @t199) @t198))) % 0.38/0.82 (define @t215 () (tptp.hAPP_H1927961489a_bool @t183 @t209)) % 0.38/0.82 (define @t216 () (tptp.hAPP_a849909144l_bool @t183 @t209)) % 0.38/0.82 (define @t217 () (tptp.hAPP_f762886889e_bool (tptp.hAPP_f1261923407e_bool tptp.cOMBC_892787026e_bool (tptp.hAPP_f963367678e_bool (tptp.cOMBB_145932198bool_a tptp.cOMBS_1378840469l_bool) (tptp.hAPP_f1509969235l_bool @t22 tptp.p))) (tptp.hAPP_f1759915619e_bool (tptp.cOMBB_160679318_state tptp.fNot) tptp.b))) % 0.38/0.82 (define @t218 () (tptp.cOMBK_bool_state tptp.fFalse)) % 0.38/0.82 (define @t219 () (tptp.cOMBK_1458035955bool_a @t218)) % 0.38/0.82 (define @t220 () (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t219 tptp.c @t217)) tptp.bot_bo1687970473a_bool)) % 0.38/0.82 (define @t221 () (tptp.hoare_472868247rivs_a tptp.g)) % 0.38/0.82 (define @t222 () (tptp.hAPP_f1753944735l_bool @t221 @t220)) % 0.38/0.82 (define @t223 () (tptp.hBOOL @t222)) % 0.38/0.82 (define @t224 () (not @t223)) % 0.38/0.82 (define @t225 () (forall @t31 (or (not @t30) @t29))) % 0.38/0.82 (define @t226 () (forall @t31 (or (not (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_a2036067514e_bool @t219 @t24) @t26))) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t221 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t28 tptp.c (tptp.cOMBK_1458035955bool_a (tptp.hAPP_a2036067514e_bool @t217 @t24)))) tptp.bot_bo1687970473a_bool)))))) % 0.38/0.82 (define @t227 () (not @t226)) % 0.38/0.82 (define @t228 () (or @t227 @t223)) % 0.38/0.82 (define @t229 () (@list true false)) % 0.38/0.82 (define @t230 () (@quantifiers_skolemize @t226 1)) % 0.38/0.82 (define @t231 () (@quantifiers_skolemize @t226 0)) % 0.38/0.82 (define @t232 () (tptp.hAPP_a2036067514e_bool @t219 @t231)) % 0.38/0.82 (define @t233 () (tptp.hAPP_state_bool @t232 @t230)) % 0.38/0.82 (define @t234 () (tptp.hBOOL @t233)) % 0.38/0.82 (define @t235 () (not @t234)) % 0.38/0.82 (define @t236 () (or @t235 (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t221 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a (tptp.cOMBK_1458035955bool_a (tptp.hAPP_s1806633685e_bool @t27 @t230)) tptp.c (tptp.cOMBK_1458035955bool_a (tptp.hAPP_a2036067514e_bool @t217 @t231)))) tptp.bot_bo1687970473a_bool))))) % 0.38/0.82 (define @t237 () (= tptp.fFalse @t178)) % 0.38/0.82 (define @t238 () (= tptp.fTrue @t178)) % 0.38/0.82 (define @t239 () (not @t194)) % 0.38/0.82 (define @t240 () (or @t238 @t237)) % 0.38/0.82 (define @t241 () (= tptp.fFalse @t151)) % 0.38/0.82 (define @t242 () (not @t241)) % 0.38/0.82 (define @t243 () (not @t152)) % 0.38/0.82 (define @t244 () (= true false)) % 0.38/0.82 (define @t245 () (and @t192 @t241 @t152)) % 0.38/0.82 (define @t246 () (= tptp.fTrue @t151)) % 0.38/0.82 (define @t247 () (tptp.is_bool @t151)) % 0.38/0.82 (define @t248 () (not @t247)) % 0.38/0.82 (define @t249 () (or @t248 @t246 @t241)) % 0.38/0.82 (define @t250 () (@list false true false)) % 0.38/0.82 (define @t251 () (= tptp.fTrue @t222)) % 0.38/0.82 (define @t252 () (not @t251)) % 0.38/0.82 (define @t253 () (not @t246)) % 0.38/0.82 (define @t254 () (not @t224)) % 0.38/0.82 (define @t255 () (and @t224 @t251 @t246 @t152)) % 0.38/0.82 (define @t256 () (= tptp.fFalse @t222)) % 0.38/0.82 (define @t257 () (tptp.is_bool @t222)) % 0.38/0.82 (define @t258 () (not @t257)) % 0.38/0.82 (define @t259 () (or @t258 @t251 @t256)) % 0.38/0.82 (define @t260 () (= @t178 @t204)) % 0.38/0.82 (define @t261 () (= tptp.fFalse (tptp.hAPP_state_bool @t218 @t230))) % 0.38/0.82 (define @t262 () (not @t4)) % 0.38/0.82 (define @t263 () (or @t262 @t261)) % 0.38/0.82 (define @t264 () (not @t261)) % 0.38/0.82 (define @t265 () (= @t218 @t232)) % 0.38/0.82 (define @t266 () (not @t265)) % 0.38/0.82 (define @t267 () (not @t256)) % 0.38/0.82 (define @t268 () (and @t224 @t256 @t261 @t265 @t234)) % 0.38/0.82 (assume @p1 (forall @t3 (tptp.is_bool (tptp.finite520909254iple_a @t2 @t1)))) % 0.38/0.82 (assume @p2 (forall @t3 (tptp.is_bool (tptp.finite1948426435iple_a @t2 @t1)))) % 0.38/0.82 (assume @p3 (tptp.is_bool tptp.bot_bot_bool)) % 0.38/0.82 (assume @p4 @t4) % 0.38/0.82 (assume @p5 (tptp.is_bool tptp.fTrue)) % 0.38/0.82 (assume @p6 (forall @t3 (tptp.is_bool (tptp.hAPP_state_bool @t2 @t1)))) % 0.38/0.82 (assume @p7 (forall @t3 (=> (tptp.is_bool @t1) (tptp.is_bool (tptp.hAPP_bool_bool @t2 @t1))))) % 0.38/0.82 (assume @p8 (forall @t3 (tptp.is_bool (tptp.hAPP_H1927961489a_bool @t2 @t1)))) % 0.38/0.82 (assume @p9 (forall @t3 (tptp.is_bool (tptp.hAPP_f1753944735l_bool @t2 @t1)))) % 0.38/0.82 (assume @p10 (forall (@list @t5) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 tptp.bot_bo1687970473a_bool)))) % 0.38/0.82 (assume @p11 (forall (@list @t12 @t10 @t8 @t11 @t9 @t7) (= (= (tptp.hoare_1050552211iple_a @t12 @t10 @t8) (tptp.hoare_1050552211iple_a @t11 @t9 @t7)) (and (= @t12 @t11) (= @t10 @t9) (= @t8 @t7))))) % 0.38/0.82 (assume @p12 (forall (@list @t5 @t15 @t13) (=> (tptp.hBOOL (tptp.hAPP_f1753944735l_bool (tptp.hoare_472868247rivs_a @t15) @t13)) (=> (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 @t15)) @t14)))) % 0.38/0.82 (assume @p13 (forall (@list @t13 @t5 @t16) (=> (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool @t17 tptp.bot_bo1687970473a_bool))) (=> @t14 (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool @t17 @t13))))))) % 0.38/0.82 (assume @p14 (forall (@list @t5 @t21 @t19 @t18 @t20) (=> (=> (tptp.hBOOL @t20) @t23) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a (tptp.hAPP_b540892988e_bool (tptp.hAPP_f1824947087e_bool tptp.cOMBC_41962815e_bool (tptp.hAPP_f340725611e_bool (tptp.cOMBB_1348041619bool_a tptp.cOMBC_231445413l_bool) (tptp.hAPP_f1509969235l_bool @t22 @t21))) @t20) @t19 @t18)) tptp.bot_bo1687970473a_bool)))))) % 0.38/0.82 (assume @p15 @t35) % 0.38/0.82 (assume @p16 (forall (@list @t18 @t5 @t21 @t19 @t36) (=> (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t21 @t19 @t36)) tptp.bot_bo1687970473a_bool))) (=> (forall @t31 (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_a2036067514e_bool @t36 @t24) @t26)) (tptp.hBOOL (tptp.hAPP_state_bool @t25 @t26)))) @t23)))) % 0.38/0.82 (assume @p17 (forall (@list @t21 @t5 @t37 @t19 @t18) (=> (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t37 @t19 @t18)) tptp.bot_bo1687970473a_bool))) (=> (forall @t31 (=> @t30 (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_a2036067514e_bool @t37 @t24) @t26)))) @t23)))) % 0.38/0.82 (assume @p18 (forall (@list @t18 @t21 @t5 @t37 @t19 @t36) (=> (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t37 @t19 @t36)) tptp.bot_bo1687970473a_bool))) (=> (forall @t31 (=> @t30 (forall @t42 (=> (forall @t41 (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_a2036067514e_bool @t37 @t40) @t26)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_a2036067514e_bool @t36 @t40) @t38)))) @t39)))) @t23)))) % 0.38/0.82 (assume @p19 (forall @t51 (=> @t50 (=> (not @t48) @t46)))) % 0.38/0.82 (assume @p20 (forall @t55 (=> (=> (not @t54) @t48) @t53))) % 0.38/0.82 (assume @p21 (forall @t56 (not (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t45 tptp.bot_bo1687970473a_bool))))) % 0.38/0.82 (assume @p22 (forall @t56 (= (tptp.collec1266446174iple_a @t59) @t58))) % 0.38/0.82 (assume @p23 (forall @t56 (= (tptp.collec1266446174iple_a @t61) @t58))) % 0.38/0.82 (assume @p24 (forall @t66 (and (=> @t64 (= @t63 @t58)) (=> @t65 (= @t63 tptp.bot_bo1687970473a_bool))))) % 0.38/0.82 (assume @p25 (forall @t66 (and (=> @t64 (= @t67 @t58)) (=> @t65 (= @t67 tptp.bot_bo1687970473a_bool))))) % 0.38/0.82 (assume @p26 (forall @t70 (=> @t69 @t68))) % 0.38/0.82 (assume @p27 (forall @t76 (= (= @t75 tptp.bot_bo1687970473a_bool) @t74))) % 0.38/0.82 (assume @p28 (forall (@list @t19) (not (tptp.hBOOL (tptp.hAPP_f1753944735l_bool (tptp.hAPP_H1926610125l_bool tptp.member564727580iple_a @t19) tptp.bot_bo1687970473a_bool))))) % 0.38/0.82 (assume @p29 (forall @t76 (= (= tptp.bot_bo1687970473a_bool @t75) @t74))) % 0.38/0.82 (assume @p30 (forall @t80 (= (exists @t73 @t79) @t77))) % 0.38/0.82 (assume @p31 (forall @t80 (= (forall @t73 (not @t79)) @t69))) % 0.38/0.82 (assume @p32 (= tptp.bot_bo1687970473a_bool (tptp.collec1266446174iple_a (tptp.cOMBK_1150238960iple_a tptp.fFalse)))) % 0.38/0.82 (assume @p33 (forall @t70 (=> @t46 (= @t81 @t43)))) % 0.38/0.82 (assume @p34 (forall @t55 (=> @t54 @t53))) % 0.38/0.82 (assume @p35 (forall (@list @t52 @t82 @t43) (=> @t87 (=> (not (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t85 @t52))) (= (= @t84 (tptp.hAPP_f1400872321a_bool @t83 @t52)) (= @t43 @t52)))))) % 0.38/0.82 (assume @p36 (forall (@list @t89 @t43 @t82) (= (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t91 @t82)) (or (= @t89 @t82) @t88)))) % 0.38/0.82 (assume @p37 (forall @t51 (= @t50 (or @t48 @t46)))) % 0.38/0.82 (assume @p38 (forall (@list @t82 @t89 @t43) (= (tptp.hAPP_f1400872321a_bool @t83 @t91) (tptp.hAPP_f1400872321a_bool @t90 @t84)))) % 0.38/0.82 (assume @p39 (forall @t92 (= (tptp.hAPP_f1400872321a_bool @t83 @t84) @t84))) % 0.38/0.82 (assume @p40 (forall @t93 (= (tptp.hAPP_f1400872321a_bool @t57 @t75) (tptp.collec1266446174iple_a (tptp.hAPP_f1400872321a_bool (tptp.hAPP_f1104866853a_bool tptp.cOMBS_213702372l_bool (tptp.hAPP_f13210641l_bool (tptp.cOMBB_633860163iple_a tptp.fimplies) (tptp.hAPP_f1400872321a_bool (tptp.cOMBB_650444389iple_a tptp.fNot) @t61))) @t21))))) % 0.38/0.82 (assume @p41 (forall @t97 (= @t96 (tptp.collec1266446174iple_a (tptp.hAPP_f1400872321a_bool (tptp.hAPP_f1104866853a_bool tptp.cOMBS_213702372l_bool (tptp.hAPP_f13210641l_bool @t95 @t61)) (tptp.hAPP_f1400872321a_bool @t94 @t52)))))) % 0.38/0.82 (assume @p42 (forall @t97 (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t45 @t96)))) % 0.38/0.82 (assume @p43 (forall (@list @t71 @t98) (= (tptp.hAPP_f1400872321a_bool @t99 @t98) (tptp.collec1266446174iple_a (tptp.hAPP_f1400872321a_bool (tptp.hAPP_f1104866853a_bool tptp.cOMBS_213702372l_bool (tptp.hAPP_f13210641l_bool @t95 (tptp.hAPP_H562195827a_bool @t60 @t71))) (tptp.hAPP_f1400872321a_bool @t94 @t98)))))) % 0.38/0.82 (assume @p44 (forall (@list @t44 @t47) (=> (= @t58 @t100) @t48))) % 0.38/0.82 (assume @p45 (forall @t103 (=> @t102 @t101))) % 0.38/0.82 (assume @p46 (forall (@list @t44 @t47 @t19 @t104) (= (= (tptp.hAPP_f1400872321a_bool @t57 @t100) (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a @t19) (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a @t104) tptp.bot_bo1687970473a_bool))) (or (and (= @t44 @t19) (= @t47 @t104)) (and (= @t44 @t104) (= @t47 @t19)))))) % 0.38/0.82 (assume @p47 (forall @t103 (= @t102 @t101))) % 0.38/0.82 (assume @p48 (forall @t70 (not (= @t81 tptp.bot_bo1687970473a_bool)))) % 0.38/0.82 (assume @p49 (forall @t70 (not (= tptp.bot_bo1687970473a_bool @t81)))) % 0.38/0.82 (assume @p50 (forall @t106 (= (tptp.hAPP_f1826273671iple_a tptp.the_el287271400iple_a @t105) @t82))) % 0.38/0.82 (assume @p51 (forall @t106 (= (tptp.hBOOL (tptp.hAPP_H1927961489a_bool tptp.bot_bo1687970473a_bool @t82)) @t107))) % 0.38/0.82 (assume @p52 (forall @t73 (= @t108 @t107))) % 0.38/0.82 (assume @p53 (forall (@list @t5 @t21) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t21 tptp.skip @t21)) tptp.bot_bo1687970473a_bool))))) % 0.38/0.82 (assume @p54 (forall (@list @t104 @t109 @t5 @t21 @t19 @t18) (=> @t23 (=> (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t18 @t104 @t109)) tptp.bot_bo1687970473a_bool))) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t21 (tptp.semi @t19 @t104) @t109)) tptp.bot_bo1687970473a_bool))))))) % 0.38/0.82 (assume @p55 (forall (@list @t89) (not (forall (@list @t112 @t111 @t110) (not (= @t89 (tptp.hoare_1050552211iple_a @t112 @t111 @t110))))))) % 0.38/0.82 (assume @p56 (forall @t92 (=> @t86 (not (forall @t114 (=> (= @t43 (tptp.hAPP_f1400872321a_bool @t83 @t113)) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t85 @t113)))))))) % 0.38/0.82 (assume @p57 (forall @t118 (not (= @t117 tptp.skip)))) % 0.38/0.82 (assume @p58 (forall @t118 (not (= tptp.skip @t117)))) % 0.38/0.82 (assume @p59 (forall (@list @t119) (= (tptp.hAPP_f1826273671iple_a tptp.the_el287271400iple_a @t119) (tptp.hAPP_f1826273671iple_a tptp.the_Ho1745054714iple_a (tptp.hAPP_f1447988451a_bool (tptp.cOMBB_545742339iple_a (tptp.hAPP_f1945881407l_bool tptp.fequal1765155200a_bool @t119)) (tptp.hAPP_f1170963427a_bool (tptp.hAPP_f1874567875a_bool tptp.cOMBC_1089176504a_bool tptp.insert1871499715iple_a) tptp.bot_bo1687970473a_bool)))))) % 0.38/0.82 (assume @p60 (forall @t70 (=> @t46 (exists @t114 (and (= @t43 (tptp.hAPP_f1400872321a_bool @t57 @t113)) (not (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t45 @t113)))))))) % 0.38/0.82 (assume @p61 (forall (@list @t123 @t121 @t122 @t120) (= (= (tptp.semi @t123 @t121) (tptp.semi @t122 @t120)) (and (= @t123 @t122) (= @t121 @t120))))) % 0.38/0.82 (assume @p62 (forall @t106 (= (tptp.hAPP_f1826273671iple_a tptp.the_Ho1745054714iple_a (tptp.hAPP_H562195827a_bool tptp.fequal1878252616iple_a @t82)) @t82))) % 0.38/0.82 (assume @p63 (forall @t56 (= (tptp.hAPP_f1826273671iple_a tptp.the_Ho1745054714iple_a @t61) @t44))) % 0.38/0.82 (assume @p64 (forall (@list @t82 @t89 @t21) (and (=> @t125 (= @t82 @t124)) (=> (not @t125) (= @t89 @t124))))) % 0.38/0.82 (assume @p65 (forall @t80 (=> (forall @t127 (not (tptp.hBOOL (tptp.hAPP_f1753944735l_bool (tptp.hAPP_H1926610125l_bool tptp.member564727580iple_a @t126) @t43)))) @t69))) % 0.38/0.82 (assume @p66 (forall @t66 (=> @t64 (=> @t130 @t129)))) % 0.38/0.82 (assume @p67 (forall @t66 (=> @t64 (=> @t130 @t131)))) % 0.38/0.82 (assume @p68 (forall @t93 (=> @t132 (=> @t64 @t129)))) % 0.38/0.82 (assume @p69 (forall @t76 (=> @t132 @t131))) % 0.38/0.82 (assume @p70 (forall (@list @t18 @t5 @t19 @t21) (=> (forall @t31 (=> @t30 (exists (@list @t134 @t133) (and (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t6 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a (tptp.hoare_1050552211iple_a @t134 @t19 @t133)) tptp.bot_bo1687970473a_bool))) (forall @t42 (=> (forall @t41 (=> (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_a2036067514e_bool @t134 @t40) @t26)) (tptp.hBOOL (tptp.hAPP_state_bool (tptp.hAPP_a2036067514e_bool @t133 @t40) @t38)))) @t39)))))) @t23))) % 0.38/0.82 (assume @p71 (forall @t80 (= @t77 (exists (@list @t71 @t113) (and (= @t43 (tptp.hAPP_f1400872321a_bool @t99 @t113)) (not (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t78 @t113)))))))) % 0.38/0.82 (assume @p72 (forall (@list @t135 @t44 @t47) (= (tptp.hBOOL (tptp.hAPP_H1927961489a_bool (tptp.finite388748825iple_a @t135 @t58) @t47)) @t48))) % 0.38/0.82 (assume @p73 (forall @t138 (=> @t137 (= (tptp.hAPP_f1826273671iple_a @t136 @t105) @t82)))) % 0.38/0.82 (assume @p74 (forall @t73 (= @t108 (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t78 tptp.bot_bo1687970473a_bool))))) % 0.38/0.82 (assume @p75 (forall (@list @t135 @t82) (not (tptp.hBOOL (tptp.hAPP_H1927961489a_bool (tptp.finite388748825iple_a @t135 tptp.bot_bo1687970473a_bool) @t82))))) % 0.38/0.82 (assume @p76 (forall (@list @t135 @t43 @t82) (=> (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t139 @t82)) @t77))) % 0.38/0.82 (assume @p77 (forall (@list @t135 @t44 @t43 @t82) (=> (tptp.hBOOL (tptp.hAPP_H1927961489a_bool (tptp.finite1734202118iple_a @t135 @t44 @t43) @t82)) (=> @t68 (tptp.hBOOL (tptp.hAPP_H1927961489a_bool (tptp.finite388748825iple_a @t135 @t81) @t82)))))) % 0.38/0.82 (assume @p78 (forall @t145 (=> @t137 (=> @t144 (=> @t87 @t143))))) % 0.38/0.82 (assume @p79 (forall @t148 (= @t147 (tptp.hAPP_f1826273671iple_a tptp.the_Ho1745054714iple_a @t139)))) % 0.38/0.82 (assume @p80 (forall (@list @t18 @t21) (=> (or @t150 @t149) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a (tptp.collec1266446174iple_a (tptp.hAPP_f1400872321a_bool (tptp.hAPP_f1104866853a_bool tptp.cOMBS_213702372l_bool (tptp.hAPP_f13210641l_bool @t62 @t21)) @t18))))))) % 0.38/0.82 (assume @p81 @t152) % 0.38/0.82 (assume @p82 (forall @t70 (=> @t144 @t153))) % 0.38/0.82 (assume @p83 (forall @t92 (= @t86 @t88))) % 0.38/0.82 (assume @p84 (forall @t76 (= @t75 @t21))) % 0.38/0.82 (assume @p85 (forall @t154 (=> @t137 (=> @t144 (= @t140 @t147))))) % 0.38/0.82 (assume @p86 (forall (@list @t135 @t155) (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t156 @t155)))) % 0.38/0.82 (assume @p87 (forall (@list @t135 @t155 @t82) (=> (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t156 @t82)) (= @t82 @t155)))) % 0.38/0.82 (assume @p88 (forall (@list @t135 @t155 @t89 @t82 @t43) (=> @t87 (=> (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t157 @t89)) (tptp.hBOOL (tptp.hAPP_H1927961489a_bool (tptp.finite1734202118iple_a @t135 @t155 @t84) (tptp.hAPP_H401672213iple_a @t141 @t89))))))) % 0.38/0.82 (assume @p89 (forall (@list @t21 @t18) (= (tptp.hBOOL (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a (tptp.collec1266446174iple_a (tptp.hAPP_f1400872321a_bool (tptp.hAPP_f1104866853a_bool tptp.cOMBS_213702372l_bool (tptp.hAPP_f13210641l_bool @t95 @t21)) @t18)))) (and @t150 @t149)))) % 0.38/0.82 (assume @p90 (forall @t70 (= @t153 @t144))) % 0.38/0.82 (assume @p91 (forall (@list @t44 @t158 @t135) (=> (= @t158 @t146) (= (tptp.hAPP_f1826273671iple_a @t158 @t58) @t44)))) % 0.38/0.82 (assume @p92 (forall (@list @t135 @t44) (= (tptp.hAPP_f1826273671iple_a @t146 @t58) @t44))) % 0.38/0.82 (assume @p93 (forall @t154 (=> @t137 (=> @t144 (=> @t77 (=> (forall (@list @t71 @t126) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool (tptp.hAPP_H1926610125l_bool tptp.member564727580iple_a @t159) (tptp.hAPP_f1400872321a_bool @t99 (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool tptp.insert1871499715iple_a @t126) tptp.bot_bo1687970473a_bool))))) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool (tptp.hAPP_H1926610125l_bool tptp.member564727580iple_a @t140) @t43)))))))) % 0.38/0.82 (assume @p94 (forall (@list @t135 @t44 @t119 @t82) (=> (tptp.hBOOL (tptp.hAPP_H1927961489a_bool (tptp.finite388748825iple_a @t135 @t165) @t82)) (not (forall (@list @t161 @t160) (=> (= @t165 @t164) (=> (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t163 @t82)) @t162))))))) % 0.38/0.82 (assume @p95 (forall @t148 (=> @t144 (=> @t77 (exists @t167 (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t139 @t166))))))) % 0.38/0.82 (assume @p96 (forall @t174 (=> @t173 (=> (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t21 tptp.bot_bo1687970473a_bool)) (=> (forall @t172 (=> @t171 @t170)) @t168))))) % 0.38/0.82 (assume @p97 (forall @t56 (= (tptp.hBOOL (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a @t44)) (or (= @t44 tptp.bot_bo1687970473a_bool) (exists (@list @t160 @t161) (and (= @t44 @t164) (tptp.hBOOL (tptp.hAPP_f1753944735l_bool tptp.finite506133020iple_a @t160)))))))) % 0.38/0.82 (assume @p98 (forall (@list @t135 @t155 @t43) (=> @t144 (exists @t167 (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t157 @t166)))))) % 0.38/0.82 (assume @p99 (forall (@list @t135 @t176 @t175) (= (tptp.hBOOL (tptp.hAPP_H1927961489a_bool (tptp.finite388748825iple_a @t135 @t176) @t175)) (exists (@list @t161 @t160 @t71) (and (= @t176 @t164) (= @t175 @t71) (tptp.hBOOL (tptp.hAPP_H1927961489a_bool @t163 @t71)) (not @t162)))))) % 0.38/0.82 (assume @p100 (forall (@list @t135 @t155 @t176 @t175) (= (tptp.hBOOL (tptp.hAPP_H1927961489a_bool (tptp.finite1734202118iple_a @t135 @t155 @t176) @t175)) (or (and (= @t176 tptp.bot_bo1687970473a_bool) (= @t175 @t155)) (exists (@list @t71 @t160 @t126) (and (= @t176 (tptp.hAPP_f1400872321a_bool @t99 @t160)) (= @t175 @t159) (not (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t78 @t160))) (tptp.hBOOL (tptp.hAPP_H1927961489a_bool (tptp.finite1734202118iple_a @t135 @t155 @t160) @t126)))))))) % 0.38/0.82 (assume @p101 (forall @t145 (=> @t177 (=> @t144 @t143)))) % 0.38/0.82 (assume @p102 (forall @t174 (=> @t173 (=> (not (= @t136 tptp.bot_bo1687970473a_bool)) (=> (forall @t73 (tptp.hBOOL (tptp.hAPP_f1753944735l_bool @t21 (tptp.hAPP_f1400872321a_bool @t99 tptp.bot_bo1687970473a_bool)))) (=> (forall @t172 (=> @t171 (=> (not (= @t169 tptp.bot_bo1687970473a_bool)) @t170))) @t168)))))) % 0.38/0.82 (assume @p103 (forall @t138 (=> @t177 (= (tptp.hAPP_H401672213iple_a @t141 @t82) @t82)))) % 0.38/0.82 (assume @p104 (forall @t145 (=> @t177 (=> @t144 (=> @t86 (= @t142 @t140)))))) % 0.38/0.82 (assume @p105 (forall @t182 (or (not @t181) @t180))) % 0.38/0.82 (assume @p106 (forall @t182 (or @t179 @t181))) % 0.38/0.82 (assume @p107 (forall @t187 (or @t180 @t186 @t184))) % 0.38/0.82 (assume @p108 (forall @t189 (or @t188 @t179))) % 0.38/0.82 (assume @p109 (forall @t189 (or @t188 @t185))) % 0.38/0.82 (assume @p110 (forall @t187 (or @t180 @t190))) % 0.38/0.82 (assume @p111 (forall @t189 (or @t186 @t190))) % 0.38/0.82 (assume @p112 (forall @t189 (or (not @t190) @t179 @t185))) % 0.38/0.82 (assume @p113 @t192) % 0.38/0.82 (assume @p114 @t196) % 0.38/0.82 (assume @p115 (forall @t187 (or @t179 @t197))) % 0.38/0.82 (assume @p116 (forall @t189 (or @t186 @t197))) % 0.38/0.82 (assume @p117 (forall @t189 (or (not @t197) @t180 @t185))) % 0.38/0.82 (assume @p118 (forall @t202 (or (not @t201) @t200))) % 0.38/0.82 (assume @p119 (forall @t202 (or @t203 @t201))) % 0.38/0.82 (assume @p120 @t206) % 0.38/0.82 (assume @p121 @t208) % 0.38/0.82 (assume @p122 (forall @t211 (= (tptp.hAPP_state_bool (tptp.hAPP_f1759915619e_bool (tptp.cOMBB_160679318_state @t178) @t183) @t209) (tptp.hAPP_bool_bool @t178 @t210)))) % 0.38/0.82 (assume @p123 (forall @t211 (= (tptp.hAPP_state_bool (tptp.hAPP_b2019457360e_bool (tptp.hAPP_f167292325e_bool tptp.cOMBC_231445413l_bool @t178) @t183) @t209) (tptp.hAPP_bool_bool @t212 @t183)))) % 0.38/0.82 (assume @p124 (forall @t211 (= (tptp.hAPP_state_bool (tptp.hAPP_f1759915619e_bool (tptp.hAPP_f644196280e_bool tptp.cOMBS_1378840469l_bool @t178) @t183) @t209) (tptp.hAPP_bool_bool @t212 @t210)))) % 0.38/0.82 (assume @p125 (forall @t211 (= (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool (tptp.hAPP_f817621513e_bool tptp.cOMBC_2027030106e_bool @t178) @t183) @t209) (tptp.hAPP_state_bool (tptp.hAPP_s1806633685e_bool @t178 @t209) @t183)))) % 0.38/0.82 (assume @p126 (forall @t202 (or (not @t213) @t200))) % 0.38/0.82 (assume @p127 (forall @t202 (or @t203 @t213))) % 0.38/0.82 (assume @p128 (forall @t211 (= (tptp.hAPP_a2036067514e_bool (tptp.hAPP_b540892988e_bool (tptp.hAPP_f1824947087e_bool tptp.cOMBC_41962815e_bool @t178) @t183) @t209) (tptp.hAPP_b2019457360e_bool (tptp.hAPP_a723219176e_bool @t178 @t209) @t183)))) % 0.38/0.82 (assume @p129 (forall @t189 (=> @t194 (= (tptp.hAPP_H1927961489a_bool (tptp.cOMBK_1150238960iple_a @t178) @t183) @t178)))) % 0.38/0.82 (assume @p130 (forall @t211 (= (tptp.hAPP_s58564346l_bool (tptp.hAPP_f1259673775l_bool (tptp.cOMBB_188601460_state @t178) @t183) @t209) (tptp.hAPP_b589554111l_bool @t178 @t210)))) % 0.38/0.82 (assume @p131 (forall @t202 (or (not @t214) @t200))) % 0.38/0.82 (assume @p132 (forall @t202 (or @t203 @t214))) % 0.38/0.82 (assume @p133 (forall @t211 (= (tptp.hAPP_H1927961489a_bool (tptp.hAPP_f1400872321a_bool (tptp.cOMBB_650444389iple_a @t178) @t183) @t209) (tptp.hAPP_bool_bool @t178 @t215)))) % 0.38/0.82 (assume @p134 (forall @t211 (= (tptp.hAPP_H1927961489a_bool (tptp.hAPP_f1400872321a_bool (tptp.hAPP_f1104866853a_bool tptp.cOMBS_213702372l_bool @t178) @t183) @t209) (tptp.hAPP_bool_bool (tptp.hAPP_H1877746411l_bool @t178 @t209) @t215)))) % 0.38/0.82 (assume @p135 (forall @t211 (= (tptp.hAPP_a2036067514e_bool (tptp.hAPP_f762886889e_bool (tptp.hAPP_f1261923407e_bool tptp.cOMBC_892787026e_bool @t178) @t183) @t209) (tptp.hAPP_f1759915619e_bool (tptp.hAPP_a1200519163e_bool @t178 @t209) @t183)))) % 0.38/0.82 (assume @p136 (forall @t211 (= (tptp.hAPP_H1877746411l_bool (tptp.hAPP_f13210641l_bool (tptp.cOMBB_633860163iple_a @t178) @t183) @t209) (tptp.hAPP_b589554111l_bool @t178 @t215)))) % 0.38/0.82 (assume @p137 (forall @t211 (= (tptp.hAPP_a849909144l_bool (tptp.hAPP_f1509969235l_bool (tptp.cOMBB_1355796797bool_a @t178) @t183) @t209) (tptp.hAPP_f1259673775l_bool @t178 (tptp.hAPP_a2036067514e_bool @t183 @t209))))) % 0.38/0.82 (assume @p138 (forall @t211 (= (tptp.hAPP_H1927961489a_bool (tptp.hAPP_H562195827a_bool (tptp.hAPP_f1915402821a_bool tptp.cOMBC_2049287834a_bool @t178) @t183) @t209) (tptp.hAPP_H1927961489a_bool (tptp.hAPP_H562195827a_bool @t178 @t209) @t183)))) % 0.38/0.82 (assume @p139 (forall @t211 (= (tptp.hAPP_a723219176e_bool (tptp.hAPP_f340725611e_bool (tptp.cOMBB_1348041619bool_a @t178) @t183) @t209) (tptp.hAPP_f167292325e_bool @t178 @t216)))) % 0.38/0.82 (assume @p140 (forall @t211 (= (tptp.hAPP_H1927961489a_bool (tptp.hAPP_f1447988451a_bool (tptp.cOMBB_545742339iple_a @t178) @t183) @t209) (tptp.hAPP_f1753944735l_bool @t178 (tptp.hAPP_H562195827a_bool @t183 @t209))))) % 0.38/0.82 (assume @p141 (forall @t211 (= (tptp.hAPP_H1927961489a_bool (tptp.hAPP_f1400872321a_bool (tptp.hAPP_f945663555a_bool tptp.cOMBC_2067518550l_bool @t178) @t183) @t209) (tptp.hAPP_f1753944735l_bool (tptp.hAPP_H1926610125l_bool @t178 @t209) @t183)))) % 0.38/0.82 (assume @p142 (forall @t211 (= (tptp.hAPP_a1200519163e_bool (tptp.hAPP_f963367678e_bool (tptp.cOMBB_145932198bool_a @t178) @t183) @t209) (tptp.hAPP_f644196280e_bool @t178 @t216)))) % 0.38/0.82 (assume @p143 (forall @t211 (= (tptp.hAPP_H562195827a_bool (tptp.hAPP_f1170963427a_bool (tptp.hAPP_f1874567875a_bool tptp.cOMBC_1089176504a_bool @t178) @t183) @t209) (tptp.hAPP_f1400872321a_bool (tptp.hAPP_H1816261935a_bool @t178 @t209) @t183)))) % 0.38/0.82 (assume @p144 @t224) % 0.38/0.82 (assume @p145 true) % 0.38/0.82 (step @p146 :rule bool-impl-elim :args (@t225 @t23)) % 0.38/0.82 (step @p147 :rule cong :premises (@p146) :args ((forall @t34 (=> @t225 @t23)))) % 0.38/0.82 (step @p148 :rule refl :args (@t23)) % 0.38/0.82 (step @p149 :rule bool-impl-elim :args (@t30 @t29)) % 0.38/0.82 (step @p150 :rule cong :premises (@p149) :args (@t32)) % 0.38/0.82 (step @p151 :rule cong :premises (@p150 @p148) :args (@t33)) % 0.38/0.82 (step @p152 :rule cong :premises (@p151) :args (@t35)) % 0.38/0.82 (step @p153 :rule trans :premises (@p152 @p147)) % 0.38/0.82 (step @p154 :rule eq_resolve :premises (@p15 @p153)) % 0.38/0.82 (step @p155 :rule instantiate :premises (@p154) :args ((@list tptp.g tptp.c @t217 @t219))) % 0.38/0.82 (step @p156 :rule cnf_or_pos :args (@t228)) % 0.38/0.82 (step @p157 :rule reordering :premises (@p156) :args ((or @t223 @t227 (not @t228)))) % 0.38/0.82 (step @p158 :rule chain_m_resolution :premises (@p157 @p144 @p155) :args (@t227 @t229 (@list @t223 @t228))) % 0.38/0.82 (step @p159 :rule skolemize :premises (@p158)) % 0.38/0.82 (step @p160 :rule bool-double-not-elim :args (@t234)) % 0.38/0.82 (step @p161 :rule refl :args (@t236)) % 0.38/0.82 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t236 (not @t235)))) % 0.38/0.82 (step @p163 :rule cnf_or_neg :args (@t236 0)) % 0.38/0.82 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.38/0.82 (step @p165 :rule reordering :premises (@p164) :args ((or @t234 @t236))) % 0.38/0.82 (step @p166 :rule chain_m_resolution :premises (@p165 @p159) :args (@t234 (@list true) (@list @t236))) % 0.38/0.82 (step @p167 :rule eq-symm :args (@t207 @t178)) % 0.38/0.82 (step @p168 :rule cong :premises (@p167) :args (@t208)) % 0.38/0.82 (step @p169 :rule eq_resolve :premises (@p121 @p168)) % 0.38/0.82 (step @p170 :rule instantiate :premises (@p169) :args ((@list @t218 @t231))) % 0.38/0.82 (step @p171 :rule aci_norm :args ((= (or @t239 @t240) (or @t239 @t238 @t237)))) % 0.38/0.82 (step @p172 :rule bool-impl-elim :args (@t194 @t240)) % 0.38/0.82 (step @p173 :rule trans :premises (@p172 @p171)) % 0.38/0.82 (step @p174 :rule cong :premises (@p173) :args ((forall @t182 (=> @t194 @t240)))) % 0.38/0.82 (step @p175 :rule eq-symm :args (@t178 tptp.fFalse)) % 0.38/0.82 (step @p176 :rule eq-symm :args (@t178 tptp.fTrue)) % 0.38/0.82 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t193)) % 0.38/0.82 (step @p178 :rule refl :args (@t194)) % 0.38/0.82 (step @p179 :rule cong :premises (@p178 @p177) :args (@t195)) % 0.38/0.82 (step @p180 :rule cong :premises (@p179) :args (@t196)) % 0.38/0.82 (step @p181 :rule trans :premises (@p180 @p174)) % 0.38/0.82 (step @p182 :rule eq_resolve :premises (@p114 @p181)) % 0.38/0.82 (step @p183 :rule instantiate :premises (@p182) :args ((@list @t222))) % 0.38/0.82 (step @p184 :rule instantiate :premises (@p182) :args ((@list @t151))) % 0.38/0.82 (step @p185 :rule refl :args (@t242)) % 0.38/0.82 (step @p186 :rule bool-double-not-elim :args (@t191)) % 0.38/0.82 (step @p187 :rule refl :args (@t243)) % 0.38/0.82 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185) :args ((or @t243 (not @t192) @t242))) % 0.38/0.82 (assume-push @p315 @t192) % 0.38/0.82 (assume-push @p316 @t241) % 0.38/0.82 (assume-push @p317 @t152) % 0.38/0.82 (step @p192 :rule evaluate :args (@t244)) % 0.38/0.82 (step @p193 :rule false_intro :premises (@p113)) % 0.38/0.82 (step @p194 :rule symm :premises (@p316)) % 0.38/0.82 (step @p195 :rule cong :premises (@p194) :args (@t152)) % 0.38/0.82 (step @p196 :rule true_intro :premises (@p81)) % 0.38/0.82 (step @p197 :rule symm :premises (@p196)) % 0.38/0.82 (step @p198 :rule trans :premises (@p197 @p195 @p193)) % 0.38/0.82 (step @p199 false :rule eq_resolve :premises (@p198 @p192)) % 0.38/0.82 (step-pop @p318 :rule scope :premises (@p199)) % 0.38/0.82 (step-pop @p319 :rule scope :premises (@p318)) % 0.38/0.82 (step-pop @p320 :rule scope :premises (@p319)) % 0.38/0.82 (step @p200 :rule process_scope :premises (@p320) :args (false)) % 0.38/0.82 (assume-push @p321 @t152) % 0.38/0.82 (assume-push @p322 @t192) % 0.38/0.82 (assume-push @p323 @t241) % 0.38/0.82 (step @p207 :rule and_intro :premises (@p113 @p323 @p81)) % 0.38/0.82 (step-pop @p324 :rule scope :premises (@p207)) % 0.38/0.82 (step-pop @p325 :rule scope :premises (@p324)) % 0.38/0.82 (step-pop @p326 :rule scope :premises (@p325)) % 0.38/0.82 (step @p208 :rule process_scope :premises (@p326) :args (@t245)) % 0.38/0.82 (step @p212 :rule implies_elim :premises (@p208)) % 0.38/0.82 (step @p213 :rule resolution :premises (@p212 @p200) :args (true @t245)) % 0.38/0.82 (step @p214 :rule not_and :premises (@p213)) % 0.38/0.82 (step @p215 :rule eq_resolve :premises (@p214 @p188)) % 0.38/0.82 (step @p216 :rule reordering :premises (@p215) :args ((or @t191 @t243 @t242))) % 0.38/0.82 (step @p217 :rule chain_m_resolution :premises (@p216 @p113 @p81) :args (@t242 @t229 (@list @t191 @t152))) % 0.38/0.82 (step @p218 :rule instantiate :premises (@p9) :args ((@list tptp.finite506133020iple_a tptp.bot_bo1687970473a_bool))) % 0.38/0.82 (step @p219 :rule cnf_or_pos :args (@t249)) % 0.38/0.82 (step @p220 :rule reordering :premises (@p219) :args ((or @t248 @t246 @t241 (not @t249)))) % 0.38/0.82 (step @p221 :rule chain_m_resolution :premises (@p220 @p218 @p217 @p184) :args (@t246 @t250 (@list @t247 @t241 @t249))) % 0.38/0.82 (step @p222 :rule refl :args (@t252)) % 0.38/0.82 (step @p223 :rule refl :args (@t253)) % 0.38/0.82 (step @p224 :rule bool-double-not-elim :args (@t223)) % 0.38/0.82 (step @p225 :rule nary_cong :premises (@p187 @p224 @p223 @p222) :args ((or @t243 @t254 @t253 @t252))) % 0.38/0.82 (assume-push @p327 @t224) % 0.38/0.82 (assume-push @p328 @t251) % 0.38/0.82 (assume-push @p329 @t246) % 0.38/0.82 (assume-push @p330 @t152) % 0.38/0.82 (step @p192 :rule evaluate :args (@t244)) % 0.38/0.82 (step @p230 :rule false_intro :premises (@p144)) % 0.38/0.82 (step @p231 :rule symm :premises (@p329)) % 0.38/0.82 (step @p232 :rule trans :premises (@p231 @p328)) % 0.38/0.82 (step @p233 :rule cong :premises (@p232) :args (@t152)) % 0.38/0.82 (step @p196 :rule true_intro :premises (@p81)) % 0.38/0.82 (step @p197 :rule symm :premises (@p196)) % 0.38/0.82 (step @p234 :rule trans :premises (@p197 @p233 @p230)) % 0.38/0.82 (step @p235 false :rule eq_resolve :premises (@p234 @p192)) % 0.38/0.82 (step-pop @p331 :rule scope :premises (@p235)) % 0.38/0.82 (step-pop @p332 :rule scope :premises (@p331)) % 0.38/0.82 (step-pop @p333 :rule scope :premises (@p332)) % 0.38/0.82 (step-pop @p334 :rule scope :premises (@p333)) % 0.38/0.82 (step @p236 :rule process_scope :premises (@p334) :args (false)) % 0.38/0.82 (assume-push @p335 @t152) % 0.38/0.82 (assume-push @p336 @t224) % 0.38/0.82 (assume-push @p337 @t246) % 0.38/0.82 (assume-push @p338 @t251) % 0.38/0.82 (step @p245 :rule and_intro :premises (@p144 @p338 @p337 @p81)) % 0.38/0.82 (step-pop @p339 :rule scope :premises (@p245)) % 0.38/0.82 (step-pop @p340 :rule scope :premises (@p339)) % 0.38/0.82 (step-pop @p341 :rule scope :premises (@p340)) % 0.38/0.82 (step-pop @p342 :rule scope :premises (@p341)) % 0.38/0.82 (step @p246 :rule process_scope :premises (@p342) :args (@t255)) % 0.38/0.82 (step @p251 :rule implies_elim :premises (@p246)) % 0.38/0.82 (step @p252 :rule resolution :premises (@p251 @p236) :args (true @t255)) % 0.38/0.82 (step @p253 :rule not_and :premises (@p252)) % 0.38/0.82 (step @p254 :rule eq_resolve :premises (@p253 @p225)) % 0.38/0.82 (step @p255 :rule reordering :premises (@p254) :args ((or @t223 @t243 @t253 @t252))) % 0.38/0.82 (step @p256 :rule chain_m_resolution :premises (@p255 @p144 @p81 @p221) :args (@t252 (@list true false false) (@list @t223 @t152 @t246))) % 0.38/0.82 (step @p257 :rule instantiate :premises (@p9) :args ((@list @t221 @t220))) % 0.38/0.82 (step @p258 :rule cnf_or_pos :args (@t259)) % 0.38/0.82 (step @p259 :rule reordering :premises (@p258) :args ((or @t258 @t251 @t256 (not @t259)))) % 0.38/0.82 (step @p260 :rule chain_m_resolution :premises (@p259 @p257 @p256 @p183) :args (@t256 @t250 (@list @t257 @t251 @t259))) % 0.38/0.82 (step @p261 :rule bool-impl-elim :args (@t194 @t260)) % 0.38/0.82 (step @p262 :rule cong :premises (@p261) :args ((forall @t189 (=> @t194 @t260)))) % 0.38/0.82 (step @p263 :rule eq-symm :args (@t204 @t178)) % 0.38/0.82 (step @p264 :rule cong :premises (@p178 @p263) :args (@t205)) % 0.38/0.82 (step @p265 :rule cong :premises (@p264) :args (@t206)) % 0.38/0.82 (step @p266 :rule trans :premises (@p265 @p262)) % 0.38/0.82 (step @p267 :rule eq_resolve :premises (@p120 @p266)) % 0.38/0.82 (step @p268 :rule instantiate :premises (@p267) :args ((@list tptp.fFalse @t230))) % 0.38/0.82 (step @p269 :rule cnf_or_pos :args (@t263)) % 0.38/0.82 (step @p270 :rule reordering :premises (@p269) :args ((or @t262 @t261 (not @t263)))) % 0.38/0.82 (step @p271 :rule chain_m_resolution :premises (@p270 @p4 @p268) :args (@t261 (@list false false) (@list @t4 @t263))) % 0.38/0.82 (step @p272 :rule refl :args (@t264)) % 0.38/0.82 (step @p273 :rule refl :args (@t266)) % 0.38/0.82 (step @p274 :rule refl :args (@t267)) % 0.38/0.82 (step @p275 :rule refl :args (@t235)) % 0.38/0.82 (step @p276 :rule nary_cong :premises (@p224 @p275 @p274 @p273 @p272) :args ((or @t254 @t235 @t267 @t266 @t264))) % 0.38/0.82 (assume-push @p343 @t224) % 0.38/0.82 (assume-push @p344 @t256) % 0.38/0.82 (assume-push @p345 @t261) % 0.38/0.82 (assume-push @p346 @t265) % 0.38/0.82 (assume-push @p347 @t234) % 0.38/0.82 (step @p192 :rule evaluate :args (@t244)) % 0.38/0.82 (step @p230 :rule false_intro :premises (@p144)) % 0.38/0.82 (step @p282 :rule symm :premises (@p271)) % 0.38/0.82 (step @p283 :rule refl :args (@t230)) % 0.38/0.82 (step @p284 :rule symm :premises (@p170)) % 0.38/0.82 (step @p285 :rule cong :premises (@p284 @p283) :args (@t233)) % 0.38/0.82 (step @p286 :rule trans :premises (@p285 @p282 @p344)) % 0.38/0.82 (step @p287 :rule cong :premises (@p286) :args (@t234)) % 0.38/0.82 (step @p288 :rule true_intro :premises (@p166)) % 0.38/0.82 (step @p289 :rule symm :premises (@p288)) % 0.38/0.82 (step @p290 :rule trans :premises (@p289 @p287 @p230)) % 0.38/0.82 (step @p291 false :rule eq_resolve :premises (@p290 @p192)) % 0.38/0.82 (step-pop @p348 :rule scope :premises (@p291)) % 0.38/0.82 (step-pop @p349 :rule scope :premises (@p348)) % 0.38/0.82 (step-pop @p350 :rule scope :premises (@p349)) % 0.38/0.82 (step-pop @p351 :rule scope :premises (@p350)) % 0.38/0.82 (step-pop @p352 :rule scope :premises (@p351)) % 0.38/0.82 (step @p292 :rule process_scope :premises (@p352) :args (false)) % 0.38/0.82 (assume-push @p353 @t224) % 0.38/0.82 (assume-push @p354 @t234) % 0.38/0.82 (assume-push @p355 @t256) % 0.38/0.82 (assume-push @p356 @t265) % 0.38/0.82 (assume-push @p357 @t261) % 0.38/0.82 (step @p303 :rule and_intro :premises (@p144 @p355 @p271 @p170 @p166)) % 0.38/0.82 (step-pop @p358 :rule scope :premises (@p303)) % 0.38/0.82 (step-pop @p359 :rule scope :premises (@p358)) % 0.38/0.82 (step-pop @p360 :rule scope :premises (@p359)) % 0.38/0.82 (step-pop @p361 :rule scope :premises (@p360)) % 0.38/0.82 (step-pop @p362 :rule scope :premises (@p361)) % 0.38/0.83 (step @p304 :rule process_scope :premises (@p362) :args (@t268)) % 0.38/0.83 (step @p310 :rule implies_elim :premises (@p304)) % 0.38/0.83 (step @p311 :rule resolution :premises (@p310 @p292) :args (true @t268)) % 0.38/0.83 (step @p312 :rule not_and :premises (@p311)) % 0.38/0.83 (step @p313 :rule eq_resolve :premises (@p312 @p276)) % 0.38/0.83 (step @p314 false :rule chain_m_resolution :premises (@p313 @p271 @p260 @p170 @p166 @p144) :args (false (@list false false false false true) (@list @t261 @t256 @t265 @t234 @t223))) % 0.38/0.83 ) % 0.38/0.83 % SZS output end Proof % 0.38/0.83 % cvc5 exiting %------------------------------------------------------------------------------