%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SCT171_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 : n010.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 08:46:26 AM UTC 2026 % Result : Theorem 0.45s 0.73s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SCT171_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 : n010.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 14:37:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.39/0.59 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.73 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.73 % SZS status Theorem % 0.45/0.73 % SZS output start Proof % 0.45/0.73 ( % 0.45/0.73 (declare-sort tptp.fun_fu1965119761t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu148272765t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1479273075l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1786351335l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1740763529l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu123258927l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu337461969l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1008469439t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1940222097l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1845530641i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu797886669l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu932525193i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1159982633l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu341524965i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1605010205i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1791463777l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu491357777l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar1821573119l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1371820951l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1903211571l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1655733109l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1083074431i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu334384573e_indi 0) % 0.45/0.73 (declare-sort tptp.fun_fu1867632401i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu2105385269l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1734842389l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu595758099l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1123909713i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1743730523e_indi 0) % 0.45/0.73 (declare-sort tptp.fun_fu288602073l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu658952305l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1884117237i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu2069019647e_indi 0) % 0.45/0.73 (declare-sort tptp.fun_fu23838287i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu278604415l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu662212797i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Pr506339783e_indi 0) % 0.45/0.73 (declare-sort tptp.fun_Pr123985543i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu664235509l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu897278719l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1037822389l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1655311859l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bo2136393469t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1019918867l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu682929745l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar1570071899t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar884201459l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu376055641l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu132047767l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bo478202017t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu243829175l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bo292969573t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu2011759009l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar156616864t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar2100459655t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar2040671475t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar1871347069i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu881806519l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_nat_fun_nat_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar154839667t_bool 0) % 0.45/0.73 (declare-sort tptp.arrow_501706939e_indi 0) % 0.45/0.73 (declare-sort tptp.fun_na1602142942e_indi 0) % 0.45/0.73 (declare-sort tptp.fun_fu890127093l_bool 0) % 0.45/0.73 (declare-sort tptp.bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu386577431l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar2079322857t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1950461939i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu193278215t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1251737213l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar2035712896di_nat 0) % 0.45/0.73 (declare-sort tptp.arrow_1621810872le_alt 0) % 0.45/0.73 (declare-sort tptp.fun_fu103733537l_bool 0) % 0.45/0.73 (declare-sort tptp.produc624534567le_alt 0) % 0.45/0.73 (declare-sort tptp.fun_fu1255657237l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_nat_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu66812275l_bool 0) % 0.45/0.73 (declare-sort tptp.nat 0) % 0.45/0.73 (declare-sort tptp.fun_fu50365883t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Pr1639951081t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu746839971l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar2047178847t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu304973171l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar1822233582t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu698697681l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar1757019876t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1760369922t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu383145951l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu892925833l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bool_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu350122099l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1536608137l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bo676255953i_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bo1549164019l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1157966945l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bo1803678369l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bo1613497205l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bo2138151889l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bo230129725t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1917018721t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Pr534938793l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu2085524157t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar795681735le_alt 0) % 0.45/0.73 (declare-sort tptp.fun_fu1904749695l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar1200683263t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_bo1156530537le_alt 0) % 0.45/0.73 (declare-sort tptp.fun_fu2114498143t_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu582883361l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_Ar1784032663l_bool 0) % 0.45/0.73 (declare-sort tptp.fun_fu1103697397l_bool 0) % 0.45/0.73 (declare-const tptp.hAPP_A1985966547t_bool (-> tptp.fun_Ar2100459655t_bool tptp.arrow_501706939e_indi tptp.fun_fu1965119761t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_A301260095t_bool (-> tptp.fun_Ar2040671475t_bool tptp.arrow_501706939e_indi tptp.fun_fu148272765t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_A784015157t_bool (-> tptp.fun_Ar2079322857t_bool tptp.arrow_501706939e_indi tptp.fun_Ar154839667t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_A711829680t_bool (-> tptp.fun_Ar1757019876t_bool tptp.arrow_501706939e_indi tptp.fun_Ar1822233582t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_b1702702257t_bool (-> tptp.fun_bo292969573t_bool tptp.bool tptp.fun_fu1965119761t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_A1239621182t_bool (-> tptp.fun_Ar156616864t_bool tptp.arrow_501706939e_indi tptp.fun_nat_bool)) % 0.45/0.73 (declare-const tptp.fFalse tptp.bool) % 0.45/0.73 (declare-const tptp.hAPP_f71505983l_bool (-> tptp.fun_fu1479273075l_bool tptp.fun_fu383145951l_bool tptp.fun_bo1803678369l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f989466937l_bool (-> tptp.fun_fu1786351335l_bool tptp.fun_fu1251737213l_bool tptp.fun_bo2138151889l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f727188501t_bool (-> tptp.fun_fu148272765t_bool tptp.fun_Pr1639951081t_bool tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_343479628l_bool tptp.fun_fu1786351335l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f544895323l_bool (-> tptp.fun_fu1740763529l_bool tptp.fun_fu1251737213l_bool tptp.fun_Ar884201459l_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_869185066e_indi tptp.fun_fu1740763529l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f2013855105l_bool (-> tptp.fun_fu123258927l_bool tptp.fun_fu103733537l_bool tptp.fun_bo1613497205l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f910728105t_bool (-> tptp.fun_fu1965119761t_bool tptp.fun_Pr1639951081t_bool tptp.fun_fu148272765t_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_1481288432l_bool tptp.fun_fu123258927l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f466810275l_bool (-> tptp.fun_fu337461969l_bool tptp.fun_fu103733537l_bool tptp.fun_Ar1784032663l_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_30438862e_indi tptp.fun_fu337461969l_bool) % 0.45/0.73 (declare-const tptp.cOMBK_1897375160l_bool tptp.fun_fu1008469439t_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1230984105l_bool (-> tptp.fun_fu1940222097l_bool tptp.fun_bool_bool tptp.fun_fu1903211571l_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_1838733848t_bool tptp.fun_fu1940222097l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1364159657i_bool (-> tptp.fun_fu1845530641i_bool tptp.fun_Ar1871347069i_bool tptp.fun_fu1867632401i_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_1207925178t_bool tptp.fun_fu1845530641i_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1364914207l_bool (-> tptp.fun_fu797886669l_bool tptp.fun_bool_bool tptp.fun_fu1734842389l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1758973969t_bool (-> tptp.fun_fu1008469439t_bool tptp.fun_Pr1639951081t_bool tptp.fun_bo230129725t_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_1853791052t_bool tptp.fun_fu797886669l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1224613979i_bool (-> tptp.fun_fu932525193i_bool tptp.fun_Ar1871347069i_bool tptp.fun_fu1950461939i_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1325493883l_bool (-> tptp.fun_fu1159982633l_bool tptp.fun_bool_bool tptp.fun_fu658952305l_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_167511280t_bool tptp.fun_fu1159982633l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f823592631i_bool (-> tptp.fun_fu341524965i_bool tptp.fun_Ar1871347069i_bool tptp.fun_fu23838287i_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_269839822t_bool tptp.fun_fu341524965i_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1561296623i_bool (-> tptp.fun_fu1605010205i_bool tptp.fun_Ar1871347069i_bool tptp.fun_Pr123985543i_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1601816755l_bool (-> tptp.fun_fu1791463777l_bool tptp.fun_bool_bool tptp.fun_Pr534938793l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1651042461l_bool (-> tptp.fun_fu491357777l_bool tptp.fun_fu383145951l_bool tptp.fun_Ar1821573119l_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_2098615510e_indi tptp.fun_fu491357777l_bool) % 0.45/0.73 (declare-const tptp.cOMBC_1257424504t_bool (-> tptp.fun_Ar2040671475t_bool tptp.fun_Pr1639951081t_bool tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (declare-const tptp.cOMBC_64563468t_bool (-> tptp.fun_Ar2100459655t_bool tptp.fun_Pr1639951081t_bool tptp.fun_Ar2040671475t_bool)) % 0.45/0.73 (declare-const tptp.pi_Arr1358199477t_bool (-> tptp.fun_Ar1871347069i_bool tptp.fun_Ar1821573119l_bool tptp.fun_fu103733537l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_A1710743709l_bool (-> tptp.fun_Ar1821573119l_bool tptp.arrow_501706939e_indi tptp.fun_fu383145951l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1265202753l_bool (-> tptp.fun_fu746839971l_bool tptp.fun_Ar2047178847t_bool tptp.fun_fu383145951l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1347377641l_bool (-> tptp.fun_fu1371820951l_bool tptp.fun_fu2011759009l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.member85421004l_bool (-> tptp.fun_fu383145951l_bool tptp.fun_fu1371820951l_bool)) % 0.45/0.73 (declare-const tptp.pi_fun779925307l_bool (-> tptp.fun_fu383145951l_bool tptp.fun_fu1903211571l_bool tptp.fun_fu2011759009l_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_328807062le_alt tptp.fun_fu1605010205i_bool) % 0.45/0.73 (declare-const tptp.hAPP_f2128533835l_bool (-> tptp.fun_fu1903211571l_bool tptp.fun_Pr1639951081t_bool tptp.fun_bool_bool)) % 0.45/0.73 (declare-const tptp.member993084970e_indi (-> tptp.fun_fu334384573e_indi tptp.fun_fu1655733109l_bool)) % 0.45/0.73 (declare-const tptp.pi_fun2132478361e_indi (-> tptp.fun_fu383145951l_bool tptp.fun_fu1867632401i_bool tptp.fun_fu1083074431i_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f671542927e_indi (-> tptp.fun_fu334384573e_indi tptp.fun_Pr1639951081t_bool tptp.arrow_501706939e_indi)) % 0.45/0.73 (declare-const tptp.member326955216l_bool (-> tptp.fun_fu1251737213l_bool tptp.fun_fu2105385269l_bool)) % 0.45/0.73 (declare-const tptp.pi_fun465500049l_bool (-> tptp.fun_fu1251737213l_bool tptp.fun_fu1734842389l_bool tptp.fun_fu304973171l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f626809057l_bool (-> tptp.fun_fu1734842389l_bool tptp.fun_fu50365883t_bool tptp.fun_bool_bool)) % 0.45/0.73 (declare-const tptp.member95348014e_indi (-> tptp.fun_fu1743730523e_indi tptp.fun_fu595758099l_bool)) % 0.45/0.73 (declare-const tptp.pi_fun1545124079e_indi (-> tptp.fun_fu1251737213l_bool tptp.fun_fu1950461939i_bool tptp.fun_fu1123909713i_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f87993209e_indi (-> tptp.fun_fu1743730523e_indi tptp.fun_fu50365883t_bool tptp.arrow_501706939e_indi)) % 0.45/0.73 (declare-const tptp.hAPP_f1394256759l_bool (-> tptp.fun_fu288602073l_bool tptp.fun_fu386577431l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.member1120178292l_bool (-> tptp.fun_fu103733537l_bool tptp.fun_fu288602073l_bool)) % 0.45/0.73 (declare-const tptp.pi_fun953636405l_bool (-> tptp.fun_fu103733537l_bool tptp.fun_fu658952305l_bool tptp.fun_fu386577431l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1418708797l_bool (-> tptp.fun_fu658952305l_bool tptp.fun_Ar2047178847t_bool tptp.fun_bool_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f243652437l_bool (-> tptp.fun_fu881806519l_bool tptp.fun_fu1884117237i_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.member422031058e_indi (-> tptp.fun_fu2069019647e_indi tptp.fun_fu881806519l_bool)) % 0.45/0.73 (declare-const tptp.pi_fun1549517203e_indi (-> tptp.fun_fu103733537l_bool tptp.fun_fu23838287i_bool tptp.fun_fu1884117237i_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1631746589e_indi (-> tptp.fun_fu2069019647e_indi tptp.fun_Ar2047178847t_bool tptp.arrow_501706939e_indi)) % 0.45/0.73 (declare-const tptp.hAPP_f1511451035i_bool (-> tptp.fun_fu23838287i_bool tptp.fun_Ar2047178847t_bool tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1270259485l_bool (-> tptp.fun_fu278604415l_bool tptp.fun_fu662212797i_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.member555231642e_indi (-> tptp.fun_Pr506339783e_indi tptp.fun_fu278604415l_bool)) % 0.45/0.73 (declare-const tptp.pi_Pro723839835e_indi (-> tptp.fun_Pr1639951081t_bool tptp.fun_Pr123985543i_bool tptp.fun_fu662212797i_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_648664568l_bool tptp.fun_fu1479273075l_bool) % 0.45/0.73 (declare-const tptp.hAPP_P163170789e_indi (-> tptp.fun_Pr506339783e_indi tptp.produc624534567le_alt tptp.arrow_501706939e_indi)) % 0.45/0.73 (declare-const tptp.hAPP_P259956691i_bool (-> tptp.fun_Pr123985543i_bool tptp.produc624534567le_alt tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f639792199l_bool (-> tptp.fun_fu664235509l_bool tptp.fun_fu897278719l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.member2079888426t_bool (-> tptp.fun_bo230129725t_bool tptp.fun_fu664235509l_bool)) % 0.45/0.73 (declare-const tptp.pi_boo683563155t_bool (-> tptp.fun_bool_bool tptp.fun_bo1803678369l_bool tptp.fun_fu897278719l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f759862099l_bool (-> tptp.fun_fu1037822389l_bool tptp.fun_fu1655311859l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.member1211611472t_bool (-> tptp.fun_bo2136393469t_bool tptp.fun_fu1037822389l_bool)) % 0.45/0.73 (declare-const tptp.pi_boo853084305t_bool (-> tptp.fun_bool_bool tptp.fun_bo2138151889l_bool tptp.fun_fu1655311859l_bool)) % 0.45/0.73 (declare-const tptp.member256508712t_bool (-> tptp.fun_fu50365883t_bool tptp.fun_fu304973171l_bool)) % 0.45/0.73 (declare-const tptp.member1124131880e_indi (-> tptp.arrow_501706939e_indi tptp.fun_fu350122099l_bool)) % 0.45/0.73 (declare-const tptp.pi_Arr1077238675t_bool (-> tptp.fun_Ar1871347069i_bool tptp.fun_Ar1784032663l_bool tptp.fun_fu1103697397l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f387058535l_bool (-> tptp.fun_fu1255657237l_bool tptp.fun_bool_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.member_bool (-> tptp.bool tptp.fun_fu1255657237l_bool)) % 0.45/0.73 (declare-const tptp.pi_Arr478149871t_bool (-> tptp.fun_Ar1871347069i_bool tptp.fun_Ar884201459l_bool tptp.fun_fu682929745l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1095388607l_bool (-> tptp.fun_fu103733537l_bool tptp.fun_Ar2047178847t_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.top_to1057791589l_bool tptp.fun_fu383145951l_bool) % 0.45/0.73 (declare-const tptp.top_to1647826457l_bool tptp.fun_bool_bool) % 0.45/0.73 (declare-const tptp.h tptp.fun_Ar2035712896di_nat) % 0.45/0.73 (declare-const tptp.finite1317065577e_indi (-> tptp.fun_Ar1871347069i_bool tptp.nat)) % 0.45/0.73 (declare-const tptp.hAPP_P2005668213l_bool (-> tptp.fun_Pr534938793l_bool tptp.produc624534567le_alt tptp.fun_bool_bool)) % 0.45/0.73 (declare-const tptp.cOMBS_1833320732t_bool (-> tptp.fun_Ar2100459655t_bool tptp.fun_Ar2047178847t_bool tptp.fun_Ar2040671475t_bool)) % 0.45/0.73 (declare-const tptp.cOMBS_1688227464t_bool (-> tptp.fun_Ar2040671475t_bool tptp.fun_Ar2047178847t_bool tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_A1059798043i_bool (-> tptp.fun_Ar1871347069i_bool tptp.arrow_501706939e_indi tptp.bool)) % 0.45/0.73 (declare-const tptp.cOMBB_124649523e_indi (-> tptp.fun_bo292969573t_bool tptp.fun_Ar1871347069i_bool tptp.fun_Ar2100459655t_bool)) % 0.45/0.73 (declare-const tptp.cOMBC_998415407t_bool (-> tptp.fun_Ar156616864t_bool tptp.nat tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f459175489l_bool (-> tptp.fun_fu890127093l_bool tptp.fun_fu383145951l_bool tptp.fun_fu746839971l_bool)) % 0.45/0.73 (declare-const tptp.cOMBC_1994570734t_bool (-> tptp.fun_Ar2079322857t_bool tptp.arrow_1621810872le_alt tptp.fun_Ar1757019876t_bool)) % 0.45/0.73 (declare-const tptp.cOMBB_715840641e_indi (-> tptp.fun_fu193278215t_bool tptp.fun_Ar2047178847t_bool tptp.fun_Ar2079322857t_bool)) % 0.45/0.73 (declare-const tptp.cOMBC_377836265t_bool (-> tptp.fun_Ar1757019876t_bool tptp.arrow_1621810872le_alt tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (declare-const tptp.cOMBB_1932856316e_indi (-> tptp.fun_fu1760369922t_bool tptp.fun_Ar2047178847t_bool tptp.fun_Ar1757019876t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f180608831l_bool (-> tptp.fun_fu2011759009l_bool tptp.fun_fu383145951l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.hilber797233813di_nat (-> tptp.fun_Ar1871347069i_bool tptp.fun_Ar2035712896di_nat tptp.fun_na1602142942e_indi)) % 0.45/0.73 (declare-const tptp.c tptp.arrow_1621810872le_alt) % 0.45/0.73 (declare-const tptp.ord_le1051050815t_bool tptp.fun_fu1157966945l_bool) % 0.45/0.73 (declare-const tptp.inj_on1177549232di_nat (-> tptp.fun_Ar2035712896di_nat tptp.fun_Ar1871347069i_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.hBOOL (-> tptp.bool Bool)) % 0.45/0.73 (declare-const tptp.p tptp.fun_Ar2047178847t_bool) % 0.45/0.73 (declare-const tptp.ord_le2059466615l_bool tptp.fun_fu698697681l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f718157575t_bool (-> tptp.fun_fu50365883t_bool tptp.fun_Ar2047178847t_bool tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_nat_bool (-> tptp.fun_nat_bool tptp.nat tptp.bool)) % 0.45/0.73 (declare-const tptp.hAPP_f174050481l_bool (-> tptp.fun_fu595758099l_bool tptp.fun_fu1123909713i_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.arrow_1880704820e_Prof tptp.fun_fu103733537l_bool) % 0.45/0.73 (declare-const tptp.hAPP_A1741215436di_nat (-> tptp.fun_Ar2035712896di_nat tptp.arrow_501706939e_indi tptp.nat)) % 0.45/0.73 (declare-const tptp.member558395596t_bool (-> tptp.fun_Ar2047178847t_bool tptp.fun_fu386577431l_bool)) % 0.45/0.73 (declare-const tptp.pi_boo2120406325t_bool (-> tptp.fun_bool_bool tptp.fun_bo1613497205l_bool tptp.fun_fu132047767l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_n1582158000e_indi (-> tptp.fun_na1602142942e_indi tptp.nat tptp.arrow_501706939e_indi)) % 0.45/0.73 (declare-const tptp.hAPP_A476679046t_bool (-> tptp.fun_Ar1822233582t_bool tptp.arrow_1621810872le_alt tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (declare-const tptp.arrow_807483785nimity tptp.fun_fu1251737213l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1237345129l_bool (-> tptp.fun_fu386577431l_bool tptp.fun_fu103733537l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.hAPP_f725100827l_bool (-> tptp.fun_fu1251737213l_bool tptp.fun_fu50365883t_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.top_to2127553399l_bool tptp.fun_fu1251737213l_bool) % 0.45/0.73 (declare-const tptp.top_to850136695i_bool tptp.fun_Ar1871347069i_bool) % 0.45/0.73 (declare-const tptp.e tptp.arrow_1621810872le_alt) % 0.45/0.73 (declare-const tptp.hAPP_f1944886577l_bool (-> tptp.fun_fu383145951l_bool tptp.fun_Pr1639951081t_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.cOMBK_70145528t_bool tptp.fun_bo1613497205l_bool) % 0.45/0.73 (declare-const tptp.produc170576535le_alt (-> tptp.arrow_1621810872le_alt tptp.arrow_1621810872le_alt tptp.produc624534567le_alt)) % 0.45/0.73 (declare-const tptp.member1484933012le_alt (-> tptp.produc624534567le_alt tptp.fun_fu383145951l_bool)) % 0.45/0.73 (declare-const tptp.if_fun95824985t_bool tptp.fun_bo292969573t_bool) % 0.45/0.73 (declare-const tptp.hAPP_f598211249l_bool (-> tptp.fun_fu1019918867l_bool tptp.fun_fu682929745l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.hAPP_A2044747691t_bool (-> tptp.fun_Ar2047178847t_bool tptp.arrow_501706939e_indi tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_n1699378549t_bool (-> tptp.fun_nat_fun_nat_bool tptp.nat tptp.fun_nat_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f90330565l_bool (-> tptp.fun_fu350122099l_bool tptp.fun_Ar1871347069i_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.hAPP_f359017159l_bool (-> tptp.fun_fu1655733109l_bool tptp.fun_fu1083074431i_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.arrow_1275257820_mktop tptp.fun_fu1760369922t_bool) % 0.45/0.73 (declare-const tptp.top_to653038619l_bool tptp.fun_fu103733537l_bool) % 0.45/0.73 (declare-const tptp.n tptp.nat) % 0.45/0.73 (declare-const tptp.top_to710777827t_bool tptp.fun_Pr1639951081t_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1559864639i_bool (-> tptp.fun_fu1950461939i_bool tptp.fun_fu50365883t_bool tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (declare-const tptp.arrow_1126550734_mkbot tptp.fun_fu1760369922t_bool) % 0.45/0.73 (declare-const tptp.hAPP_A272835723t_bool (-> tptp.fun_Ar154839667t_bool tptp.arrow_1621810872le_alt tptp.fun_Ar1822233582t_bool)) % 0.45/0.73 (declare-const tptp.cOMBB_1514803447e_indi (-> tptp.fun_nat_fun_nat_bool tptp.fun_Ar2035712896di_nat tptp.fun_Ar156616864t_bool)) % 0.45/0.73 (declare-const tptp.fequal_nat tptp.fun_nat_fun_nat_bool) % 0.45/0.73 (declare-const tptp.arrow_2009189698_above tptp.fun_fu193278215t_bool) % 0.45/0.73 (declare-const tptp.arrow_981905126le_IIA tptp.fun_fu1251737213l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1303771867l_bool (-> tptp.fun_fu1536608137l_bool tptp.fun_fu1251737213l_bool tptp.fun_fu304973171l_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_1801013008t_bool tptp.fun_bo1803678369l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1435434693l_bool (-> tptp.fun_fu304973171l_bool tptp.fun_fu1251737213l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.member641857340t_bool (-> tptp.fun_Pr1639951081t_bool tptp.fun_fu2011759009l_bool)) % 0.45/0.73 (declare-const tptp.f tptp.fun_fu50365883t_bool) % 0.45/0.73 (declare-const tptp.ord_less_bool tptp.fun_bo1549164019l_bool) % 0.45/0.73 (declare-const tptp.d tptp.arrow_1621810872le_alt) % 0.45/0.73 (declare-const tptp.top_top_bool tptp.bool) % 0.45/0.73 (declare-const tptp.hAPP_f786935331l_bool (-> tptp.fun_fu698697681l_bool tptp.fun_fu103733537l_bool tptp.fun_fu386577431l_bool)) % 0.45/0.73 (declare-const tptp.b tptp.arrow_1621810872le_alt) % 0.45/0.73 (declare-const tptp.ord_le1472193545l_bool tptp.fun_fu66812275l_bool) % 0.45/0.73 (declare-const tptp.ord_le287438291i_bool tptp.fun_fu892925833l_bool) % 0.45/0.73 (declare-const tptp.lba tptp.fun_Pr1639951081t_bool) % 0.45/0.73 (declare-const tptp.hAPP_f279586623l_bool (-> tptp.fun_fu66812275l_bool tptp.fun_fu383145951l_bool tptp.fun_fu2011759009l_bool)) % 0.45/0.73 (declare-const tptp.a tptp.arrow_1621810872le_alt) % 0.45/0.73 (declare-const tptp.ord_le1419690707l_bool tptp.fun_fu1536608137l_bool) % 0.45/0.73 (declare-const tptp.ord_less_nat tptp.fun_nat_fun_nat_bool) % 0.45/0.73 (declare-const tptp.lab tptp.fun_Pr1639951081t_bool) % 0.45/0.73 (declare-const tptp.hAPP_b589554111l_bool (-> tptp.fun_bo1549164019l_bool tptp.bool tptp.fun_bool_bool)) % 0.45/0.73 (declare-const tptp.hAPP_bool_bool (-> tptp.fun_bool_bool tptp.bool tptp.bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1699392794t_bool (-> tptp.fun_fu1760369922t_bool tptp.fun_Pr1639951081t_bool tptp.fun_Ar1822233582t_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_1362474068t_bool tptp.fun_bo2138151889l_bool) % 0.45/0.73 (declare-const tptp.cOMBK_290363320le_alt tptp.fun_fu1791463777l_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1911990195l_bool (-> tptp.fun_fu1157966945l_bool tptp.fun_Pr1639951081t_bool tptp.fun_fu383145951l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1993665755l_bool (-> tptp.fun_fu892925833l_bool tptp.fun_Ar1871347069i_bool tptp.fun_fu350122099l_bool)) % 0.45/0.73 (declare-const tptp.fTrue tptp.bool) % 0.45/0.73 (declare-const tptp.hAPP_b1017527359l_bool (-> tptp.fun_bo1803678369l_bool tptp.bool tptp.fun_fu383145951l_bool)) % 0.45/0.73 (declare-const tptp.collec1697917566t_bool (-> tptp.fun_fu383145951l_bool tptp.fun_fu383145951l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_b1178471617l_bool (-> tptp.fun_bo1613497205l_bool tptp.bool tptp.fun_fu103733537l_bool)) % 0.45/0.73 (declare-const tptp.collec861220362t_bool (-> tptp.fun_fu103733537l_bool tptp.fun_fu103733537l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1481710327l_bool (-> tptp.fun_fu376055641l_bool tptp.fun_fu132047767l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.hAPP_b930206237l_bool (-> tptp.fun_bo2138151889l_bool tptp.bool tptp.fun_fu1251737213l_bool)) % 0.45/0.73 (declare-const tptp.collec154865254t_bool (-> tptp.fun_fu1251737213l_bool tptp.fun_fu1251737213l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f906860201i_bool (-> tptp.fun_fu1867632401i_bool tptp.fun_Pr1639951081t_bool tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_350462144le_alt tptp.fun_bo230129725t_bool) % 0.45/0.73 (declare-const tptp.hAPP_b611520797i_bool (-> tptp.fun_bo676255953i_bool tptp.bool tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (declare-const tptp.hAPP_b1848524425t_bool (-> tptp.fun_bo230129725t_bool tptp.bool tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_P751176071t_bool (-> tptp.fun_Pr1639951081t_bool tptp.produc624534567le_alt tptp.bool)) % 0.45/0.73 (declare-const tptp.cOMBK_164791446e_indi tptp.fun_fu1917018721t_bool) % 0.45/0.73 (declare-const tptp.collec2140722898le_alt (-> tptp.fun_Pr1639951081t_bool tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f899216831l_bool (-> tptp.fun_fu582883361l_bool tptp.fun_fu2114498143t_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1560118175t_bool (-> tptp.fun_fu193278215t_bool tptp.fun_Pr1639951081t_bool tptp.fun_Ar154839667t_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_206372180e_indi tptp.fun_bo676255953i_bool) % 0.45/0.73 (declare-const tptp.hAPP_A2034733541le_alt (-> tptp.fun_Ar795681735le_alt tptp.arrow_501706939e_indi tptp.produc624534567le_alt)) % 0.45/0.73 (declare-const tptp.collec1241994086e_indi (-> tptp.fun_Ar1871347069i_bool tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f748921117l_bool (-> tptp.fun_fu1904749695l_bool tptp.fun_fu2085524157t_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.arrow_1008788854le_Lin tptp.fun_fu383145951l_bool) % 0.45/0.73 (declare-const tptp.cOMBK_639770490t_bool tptp.fun_fu890127093l_bool) % 0.45/0.73 (declare-const tptp.pi_fun456133649t_bool (-> tptp.fun_fu103733537l_bool tptp.fun_fu746839971l_bool tptp.fun_fu1251737213l_bool)) % 0.45/0.73 (declare-const tptp.cOMBK_519762474t_bool tptp.fun_fu932525193i_bool) % 0.45/0.73 (declare-const tptp.hAPP_f1172974131t_bool (-> tptp.fun_fu1917018721t_bool tptp.fun_Pr1639951081t_bool tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1827424979l_bool (-> tptp.fun_fu2105385269l_bool tptp.fun_fu304973171l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.arrow_1322316103ctator tptp.fun_fu1950461939i_bool) % 0.45/0.73 (declare-const tptp.pi_Pro811330557t_bool (-> tptp.fun_Pr1639951081t_bool tptp.fun_Pr534938793l_bool tptp.fun_fu383145951l_bool)) % 0.45/0.73 (declare-const tptp.pi_Arr447918939le_alt (-> tptp.fun_Ar1871347069i_bool tptp.fun_Ar2047178847t_bool tptp.fun_fu2085524157t_bool)) % 0.45/0.73 (declare-const tptp.member2069173038t_bool (-> tptp.fun_Ar1570071899t_bool tptp.fun_fu1019918867l_bool)) % 0.45/0.73 (declare-const tptp.member844573594le_alt (-> tptp.fun_Ar795681735le_alt tptp.fun_fu1904749695l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_b98736263le_alt (-> tptp.fun_bo1156530537le_alt tptp.bool tptp.produc624534567le_alt)) % 0.45/0.73 (declare-const tptp.pi_boo158890749le_alt (-> tptp.fun_bool_bool tptp.fun_bo230129725t_bool tptp.fun_fu2114498143t_bool)) % 0.45/0.73 (declare-const tptp.member158436796le_alt (-> tptp.fun_bo1156530537le_alt tptp.fun_fu582883361l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_A1790795747l_bool (-> tptp.fun_Ar1784032663l_bool tptp.arrow_501706939e_indi tptp.fun_fu103733537l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_A1159468061t_bool (-> tptp.fun_Ar1200683263t_bool tptp.arrow_501706939e_indi tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (declare-const tptp.member1701178322t_bool (-> tptp.fun_Ar1200683263t_bool tptp.fun_fu243829175l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_f1753158741l_bool (-> tptp.fun_fu243829175l_bool tptp.fun_fu1103697397l_bool tptp.bool)) % 0.45/0.73 (declare-const tptp.hAPP_b114674879t_bool (-> tptp.fun_bo478202017t_bool tptp.bool tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (declare-const tptp.member1494646772t_bool (-> tptp.fun_bo478202017t_bool tptp.fun_fu376055641l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_A107624255l_bool (-> tptp.fun_Ar884201459l_bool tptp.arrow_501706939e_indi tptp.fun_fu1251737213l_bool)) % 0.45/0.73 (declare-const tptp.hAPP_A1168502649t_bool (-> tptp.fun_Ar1570071899t_bool tptp.arrow_501706939e_indi tptp.fun_fu50365883t_bool)) % 0.45/0.73 (declare-const tptp.hAPP_b1112685083t_bool (-> tptp.fun_bo2136393469t_bool tptp.bool tptp.fun_fu50365883t_bool)) % 0.45/0.73 (define @t1 () (@var "L" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t2 () (@var "Y_1" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t3 () (@var "X_2" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t4 () (tptp.member1484933012le_alt (tptp.produc170576535le_alt @t3 @t2))) % 0.45/0.73 (define @t5 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t4 @t1))) % 0.45/0.73 (define @t6 () (@var "Z_1" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t7 () (= @t3 @t6)) % 0.45/0.73 (define @t8 () (not @t7)) % 0.45/0.73 (define @t9 () (not (= @t3 @t2))) % 0.45/0.73 (define @t10 () (= @t2 @t6)) % 0.45/0.73 (define @t11 () (not @t10)) % 0.45/0.73 (define @t12 () (tptp.hAPP_f1699392794t_bool tptp.arrow_1126550734_mkbot @t1)) % 0.45/0.73 (define @t13 () (@list @t3 @t2 @t1 @t6)) % 0.45/0.73 (define @t14 () (tptp.hAPP_f1699392794t_bool tptp.arrow_1275257820_mktop @t1)) % 0.45/0.73 (define @t15 () (@var "P_1" tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (define @t16 () (tptp.hAPP_f718157575t_bool tptp.f @t15)) % 0.45/0.73 (define @t17 () (@var "B_8" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t18 () (@var "A_8" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t19 () (tptp.produc170576535le_alt @t18 @t17)) % 0.45/0.73 (define @t20 () (tptp.member1484933012le_alt @t19)) % 0.45/0.73 (define @t21 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t20 @t16))) % 0.45/0.73 (define @t22 () (@var "Pa" tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (define @t23 () (@var "Ba" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t24 () (@var "Aa" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t25 () (tptp.produc170576535le_alt @t24 @t23)) % 0.45/0.73 (define @t26 () (tptp.member1484933012le_alt @t25)) % 0.45/0.73 (define @t27 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t26 (tptp.hAPP_f718157575t_bool tptp.f @t22)))) % 0.45/0.73 (define @t28 () (@var "I" tptp.arrow_501706939e_indi)) % 0.45/0.73 (define @t29 () (tptp.hAPP_A2044747691t_bool @t15 @t28)) % 0.45/0.73 (define @t30 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t26 (tptp.hAPP_A2044747691t_bool @t22 @t28)))) % 0.45/0.73 (define @t31 () (@list @t28)) % 0.45/0.73 (define @t32 () (forall @t31 (= @t30 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t20 @t29))))) % 0.45/0.73 (define @t33 () (tptp.hBOOL (tptp.hAPP_f1237345129l_bool (tptp.member558395596t_bool @t15) tptp.arrow_1880704820e_Prof))) % 0.45/0.73 (define @t34 () (tptp.hBOOL (tptp.hAPP_f1237345129l_bool (tptp.member558395596t_bool @t22) tptp.arrow_1880704820e_Prof))) % 0.45/0.73 (define @t35 () (=> @t34 (=> @t33 (=> @t32 (= @t27 @t21))))) % 0.45/0.73 (define @t36 () (not (= @t23 @t18))) % 0.45/0.73 (define @t37 () (not (= @t24 @t17))) % 0.45/0.73 (define @t38 () (not (= @t18 @t17))) % 0.45/0.73 (define @t39 () (not (= @t24 @t23))) % 0.45/0.73 (define @t40 () (@list @t15 @t22 @t18 @t17 @t24 @t23)) % 0.45/0.73 (define @t41 () (@var "Ca" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t42 () (tptp.member1484933012le_alt (tptp.produc170576535le_alt @t23 @t41))) % 0.45/0.73 (define @t43 () (tptp.member1484933012le_alt (tptp.produc170576535le_alt @t23 @t24))) % 0.45/0.73 (define @t44 () (tptp.hAPP_A2044747691t_bool tptp.p @t28)) % 0.45/0.73 (define @t45 () (tptp.hAPP_A476679046t_bool (tptp.hAPP_f1699392794t_bool tptp.arrow_1126550734_mkbot @t44) tptp.e)) % 0.45/0.73 (define @t46 () (tptp.member1484933012le_alt (tptp.produc170576535le_alt tptp.c tptp.d))) % 0.45/0.73 (define @t47 () (tptp.hAPP_A1741215436di_nat tptp.h @t28)) % 0.45/0.73 (define @t48 () (= @t47 tptp.n)) % 0.45/0.73 (define @t49 () (not @t48)) % 0.45/0.73 (define @t50 () (tptp.hAPP_A476679046t_bool (tptp.hAPP_A272835723t_bool (tptp.hAPP_f1560118175t_bool tptp.arrow_2009189698_above @t44) tptp.c) tptp.e)) % 0.45/0.73 (define @t51 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t47) tptp.n))) % 0.45/0.73 (define @t52 () (not @t51)) % 0.45/0.73 (define @t53 () (tptp.hAPP_A476679046t_bool (tptp.hAPP_f1699392794t_bool tptp.arrow_1275257820_mktop @t44) tptp.e)) % 0.45/0.73 (define @t54 () (tptp.cOMBB_1514803447e_indi tptp.ord_less_nat tptp.h)) % 0.45/0.73 (define @t55 () (tptp.cOMBB_124649523e_indi tptp.if_fun95824985t_bool (tptp.cOMBC_998415407t_bool @t54 tptp.n))) % 0.45/0.73 (define @t56 () (tptp.cOMBS_1688227464t_bool (tptp.cOMBS_1833320732t_bool @t55 (tptp.cOMBC_377836265t_bool (tptp.cOMBB_1932856316e_indi tptp.arrow_1275257820_mktop tptp.p) tptp.e)) (tptp.cOMBS_1688227464t_bool (tptp.cOMBS_1833320732t_bool (tptp.cOMBB_124649523e_indi tptp.if_fun95824985t_bool (tptp.cOMBC_998415407t_bool (tptp.cOMBB_1514803447e_indi tptp.fequal_nat tptp.h) tptp.n)) (tptp.cOMBC_377836265t_bool (tptp.cOMBC_1994570734t_bool (tptp.cOMBB_715840641e_indi tptp.arrow_2009189698_above tptp.p) tptp.c) tptp.e)) (tptp.cOMBC_377836265t_bool (tptp.cOMBB_1932856316e_indi tptp.arrow_1126550734_mkbot tptp.p) tptp.e)))) % 0.45/0.73 (define @t57 () (tptp.hAPP_f718157575t_bool tptp.f @t56)) % 0.45/0.73 (define @t58 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t46 @t57))) % 0.45/0.73 (define @t59 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t46 (tptp.hAPP_f718157575t_bool tptp.f tptp.p)))) % 0.45/0.73 (define @t60 () (@var "B_1" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t61 () (@var "A_1" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t62 () (tptp.produc170576535le_alt @t61 @t60)) % 0.45/0.73 (define @t63 () (@var "Pa" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t64 () (@list @t61 @t60)) % 0.45/0.73 (define @t65 () (@var "X1" tptp.produc624534567le_alt)) % 0.45/0.73 (define @t66 () (tptp.member1484933012le_alt (tptp.produc170576535le_alt tptp.e tptp.d))) % 0.45/0.73 (define @t67 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t66 @t57))) % 0.45/0.73 (define @t68 () (@var "B_9" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t69 () (@var "B_10" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t70 () (@var "A_9" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t71 () (@var "A_10" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t72 () (@var "Xa" tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (define @t73 () (@var "Fa" tptp.fun_fu50365883t_bool)) % 0.45/0.73 (define @t74 () (tptp.member1484933012le_alt @t62)) % 0.45/0.73 (define @t75 () (@var "X_1" tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (define @t76 () (tptp.hAPP_f718157575t_bool @t73 @t75)) % 0.45/0.73 (define @t77 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t74 @t76))) % 0.45/0.73 (define @t78 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t74 (tptp.hAPP_A2044747691t_bool @t75 @t28)))) % 0.45/0.73 (define @t79 () (tptp.hBOOL (tptp.hAPP_f1237345129l_bool (tptp.member558395596t_bool @t75) tptp.arrow_1880704820e_Prof))) % 0.45/0.73 (define @t80 () (@list @t75)) % 0.45/0.73 (define @t81 () (@list @t73)) % 0.45/0.73 (define @t82 () (@var "X_2" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t83 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool tptp.top_to1057791589l_bool @t82))) % 0.45/0.73 (define @t84 () (@list @t82)) % 0.45/0.73 (define @t85 () (@var "X_2" tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (define @t86 () (tptp.hBOOL (tptp.hAPP_f1095388607l_bool tptp.top_to653038619l_bool @t85))) % 0.45/0.73 (define @t87 () (@list @t85)) % 0.45/0.73 (define @t88 () (@var "X_2" tptp.fun_fu50365883t_bool)) % 0.45/0.73 (define @t89 () (tptp.hBOOL (tptp.hAPP_f725100827l_bool tptp.top_to2127553399l_bool @t88))) % 0.45/0.73 (define @t90 () (@list @t88)) % 0.45/0.73 (define @t91 () (@var "X_2" tptp.produc624534567le_alt)) % 0.45/0.73 (define @t92 () (tptp.hBOOL (tptp.hAPP_P751176071t_bool tptp.top_to710777827t_bool @t91))) % 0.45/0.73 (define @t93 () (@list @t91)) % 0.45/0.73 (define @t94 () (@var "X_2" tptp.arrow_501706939e_indi)) % 0.45/0.73 (define @t95 () (tptp.hBOOL (tptp.hAPP_A1059798043i_bool tptp.top_to850136695i_bool @t94))) % 0.45/0.73 (define @t96 () (@list @t94)) % 0.45/0.73 (define @t97 () (@var "X_2" tptp.bool)) % 0.45/0.73 (define @t98 () (tptp.member_bool @t97)) % 0.45/0.73 (define @t99 () (tptp.member1124131880e_indi @t94)) % 0.45/0.73 (define @t100 () (tptp.member1484933012le_alt @t91)) % 0.45/0.73 (define @t101 () (tptp.member558395596t_bool @t85)) % 0.45/0.73 (define @t102 () (tptp.member256508712t_bool @t88)) % 0.45/0.73 (define @t103 () (tptp.member641857340t_bool @t82)) % 0.45/0.73 (define @t104 () (tptp.hBOOL tptp.top_top_bool)) % 0.45/0.73 (define @t105 () (@var "Aa" tptp.fun_fu383145951l_bool)) % 0.45/0.73 (define @t106 () (@list @t105)) % 0.45/0.73 (define @t107 () (@var "Aa" tptp.fun_fu103733537l_bool)) % 0.45/0.73 (define @t108 () (@list @t107)) % 0.45/0.73 (define @t109 () (@var "Aa" tptp.fun_fu1251737213l_bool)) % 0.45/0.73 (define @t110 () (@list @t109)) % 0.45/0.73 (define @t111 () (@var "Aa" tptp.bool)) % 0.45/0.73 (define @t112 () (@list @t111)) % 0.45/0.73 (define @t113 () (@var "Aa" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t114 () (@list @t113)) % 0.45/0.73 (define @t115 () (@var "Aa" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t116 () (@list @t115)) % 0.45/0.73 (define @t117 () (@var "X_14" tptp.nat)) % 0.45/0.73 (define @t118 () (@var "Y_13" tptp.nat)) % 0.45/0.73 (define @t119 () (@var "X_2" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t120 () (@var "Y_1" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t121 () (tptp.hAPP_f1993665755l_bool tptp.ord_le287438291i_bool @t120)) % 0.45/0.73 (define @t122 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t121 @t119))) % 0.45/0.73 (define @t123 () (tptp.hAPP_f1993665755l_bool tptp.ord_le287438291i_bool @t119)) % 0.45/0.73 (define @t124 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t123 @t120))) % 0.45/0.73 (define @t125 () (@list @t119 @t120)) % 0.45/0.73 (define @t126 () (@var "X_13" tptp.nat)) % 0.45/0.73 (define @t127 () (@var "Y_12" tptp.nat)) % 0.45/0.73 (define @t128 () (@var "Z_1" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t129 () (tptp.hAPP_f1993665755l_bool tptp.ord_le287438291i_bool @t128)) % 0.45/0.73 (define @t130 () (@var "X_12" tptp.nat)) % 0.45/0.73 (define @t131 () (@var "Z_2" tptp.nat)) % 0.45/0.73 (define @t132 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t131)) % 0.45/0.73 (define @t133 () (@var "Y_11" tptp.nat)) % 0.45/0.73 (define @t134 () (@var "Z" tptp.nat)) % 0.45/0.73 (define @t135 () (@var "X_11" tptp.nat)) % 0.45/0.73 (define @t136 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t135)) % 0.45/0.73 (define @t137 () (@var "Y_10" tptp.nat)) % 0.45/0.73 (define @t138 () (@var "Ca" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t139 () (tptp.hAPP_f1993665755l_bool tptp.ord_le287438291i_bool @t138)) % 0.45/0.73 (define @t140 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t139 @t115))) % 0.45/0.73 (define @t141 () (@var "Ba" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t142 () (= @t141 @t138)) % 0.45/0.73 (define @t143 () (tptp.hAPP_f1993665755l_bool tptp.ord_le287438291i_bool @t141)) % 0.45/0.73 (define @t144 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t143 @t115))) % 0.45/0.73 (define @t145 () (@var "A_7" tptp.nat)) % 0.45/0.73 (define @t146 () (@var "C_3" tptp.nat)) % 0.45/0.73 (define @t147 () (@var "B_7" tptp.nat)) % 0.45/0.73 (define @t148 () (tptp.hAPP_f1993665755l_bool tptp.ord_le287438291i_bool @t115)) % 0.45/0.73 (define @t149 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t148 @t138))) % 0.45/0.73 (define @t150 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t148 @t141))) % 0.45/0.73 (define @t151 () (@list @t138 @t115 @t141)) % 0.45/0.73 (define @t152 () (@var "C_2" tptp.nat)) % 0.45/0.73 (define @t153 () (@var "A_6" tptp.nat)) % 0.45/0.73 (define @t154 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t153)) % 0.45/0.73 (define @t155 () (@var "B_6" tptp.nat)) % 0.45/0.73 (define @t156 () (= @t115 @t141)) % 0.45/0.73 (define @t157 () (@var "A_5" tptp.nat)) % 0.45/0.73 (define @t158 () (@var "C_1" tptp.nat)) % 0.45/0.73 (define @t159 () (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t158)) % 0.45/0.73 (define @t160 () (@var "B_5" tptp.nat)) % 0.45/0.73 (define @t161 () (@var "C" tptp.nat)) % 0.45/0.73 (define @t162 () (@var "A_4" tptp.nat)) % 0.45/0.73 (define @t163 () (@var "B_4" tptp.nat)) % 0.45/0.73 (define @t164 () (@var "B_3" tptp.nat)) % 0.45/0.73 (define @t165 () (@var "A_3" tptp.nat)) % 0.45/0.73 (define @t166 () (@var "A_2" tptp.nat)) % 0.45/0.73 (define @t167 () (@var "B_2" tptp.nat)) % 0.45/0.73 (define @t168 () (@var "Pa" tptp.bool)) % 0.45/0.73 (define @t169 () (tptp.hBOOL @t168)) % 0.45/0.73 (define @t170 () (@var "X_2" tptp.nat)) % 0.45/0.73 (define @t171 () (@var "Y_1" tptp.nat)) % 0.45/0.73 (define @t172 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t171) @t170))) % 0.45/0.73 (define @t173 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t170) @t171))) % 0.45/0.73 (define @t174 () (@var "X_10" tptp.nat)) % 0.45/0.73 (define @t175 () (@var "Y_9" tptp.nat)) % 0.45/0.73 (define @t176 () (@var "Y_8" tptp.nat)) % 0.45/0.73 (define @t177 () (@var "X_9" tptp.nat)) % 0.45/0.73 (define @t178 () (@var "X_8" tptp.nat)) % 0.45/0.73 (define @t179 () (@var "Y_7" tptp.nat)) % 0.45/0.73 (define @t180 () (@var "X_7" tptp.nat)) % 0.45/0.73 (define @t181 () (@var "Y_6" tptp.nat)) % 0.45/0.73 (define @t182 () (@var "Y_5" tptp.nat)) % 0.45/0.73 (define @t183 () (@var "X_6" tptp.nat)) % 0.45/0.73 (define @t184 () (@var "X_5" tptp.nat)) % 0.45/0.73 (define @t185 () (@var "Y_4" tptp.nat)) % 0.45/0.73 (define @t186 () (= @t170 @t171)) % 0.45/0.73 (define @t187 () (not @t173)) % 0.45/0.73 (define @t188 () (@var "X_4" tptp.nat)) % 0.45/0.73 (define @t189 () (@var "Y_3" tptp.nat)) % 0.45/0.73 (define @t190 () (@list @t170 @t171)) % 0.45/0.73 (define @t191 () (@var "X_3" tptp.nat)) % 0.45/0.73 (define @t192 () (@var "S" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t193 () (@var "R_1" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t194 () (@var "Xa" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t195 () (@var "X_1" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t196 () (tptp.member1484933012le_alt (tptp.produc170576535le_alt @t195 @t194))) % 0.45/0.73 (define @t197 () (@var "F" tptp.fun_Ar2035712896di_nat)) % 0.45/0.73 (define @t198 () (tptp.hilber797233813di_nat tptp.top_to850136695i_bool @t197)) % 0.45/0.73 (define @t199 () (tptp.hAPP_A1741215436di_nat @t197 @t94)) % 0.45/0.73 (define @t200 () (= @t199 @t171)) % 0.45/0.73 (define @t201 () (tptp.hBOOL (tptp.inj_on1177549232di_nat @t197 tptp.top_to850136695i_bool))) % 0.45/0.73 (define @t202 () (@var "A" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t203 () (tptp.hilber797233813di_nat @t202 @t197)) % 0.45/0.73 (define @t204 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t99 @t202))) % 0.45/0.73 (define @t205 () (tptp.hBOOL (tptp.inj_on1177549232di_nat @t197 @t202))) % 0.45/0.73 (define @t206 () (@var "Y_1" tptp.arrow_501706939e_indi)) % 0.45/0.73 (define @t207 () (= @t94 @t206)) % 0.45/0.73 (define @t208 () (= @t199 (tptp.hAPP_A1741215436di_nat @t197 @t206))) % 0.45/0.73 (define @t209 () (= @t208 @t207)) % 0.45/0.73 (define @t210 () (@list @t94 @t206 @t197)) % 0.45/0.73 (define @t211 () (@var "Xa" tptp.arrow_501706939e_indi)) % 0.45/0.73 (define @t212 () (@var "X_1" tptp.arrow_501706939e_indi)) % 0.45/0.73 (define @t213 () (tptp.hAPP_A1741215436di_nat @t197 @t212)) % 0.45/0.73 (define @t214 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool (tptp.member1124131880e_indi @t206) @t202))) % 0.45/0.73 (define @t215 () (@list @t94 @t206 @t197 @t202)) % 0.45/0.73 (define @t216 () (@var "G" tptp.fun_na1602142942e_indi)) % 0.45/0.73 (define @t217 () (@var "X_1" tptp.nat)) % 0.45/0.73 (define @t218 () (@var "Y_2" tptp.arrow_501706939e_indi)) % 0.45/0.73 (define @t219 () (tptp.pi_fun456133649t_bool tptp.arrow_1880704820e_Prof (tptp.hAPP_f459175489l_bool tptp.cOMBK_639770490t_bool tptp.arrow_1008788854le_Lin))) % 0.45/0.73 (define @t220 () (tptp.hBOOL (tptp.hAPP_f180608831l_bool (tptp.member641857340t_bool @t1) tptp.arrow_1008788854le_Lin))) % 0.45/0.73 (define @t221 () (@var "A" tptp.fun_bool_bool)) % 0.45/0.73 (define @t222 () (tptp.hBOOL (tptp.hAPP_f387058535l_bool @t98 @t221))) % 0.45/0.73 (define @t223 () (@var "A" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t224 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t100 @t223))) % 0.45/0.73 (define @t225 () (@var "A" tptp.fun_fu103733537l_bool)) % 0.45/0.73 (define @t226 () (tptp.hBOOL (tptp.hAPP_f1237345129l_bool @t101 @t225))) % 0.45/0.73 (define @t227 () (@var "A" tptp.fun_fu1251737213l_bool)) % 0.45/0.73 (define @t228 () (tptp.hBOOL (tptp.hAPP_f1435434693l_bool @t102 @t227))) % 0.45/0.73 (define @t229 () (@var "A" tptp.fun_fu383145951l_bool)) % 0.45/0.73 (define @t230 () (tptp.hBOOL (tptp.hAPP_f180608831l_bool @t103 @t229))) % 0.45/0.73 (define @t231 () (@var "Pa" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t232 () (@list @t3 @t1)) % 0.45/0.73 (define @t233 () (tptp.hAPP_f1560118175t_bool tptp.arrow_2009189698_above @t1)) % 0.45/0.73 (define @t234 () (= @t2 @t23)) % 0.45/0.73 (define @t235 () (= @t3 @t23)) % 0.45/0.73 (define @t236 () (@var "I_1" tptp.arrow_501706939e_indi)) % 0.45/0.73 (define @t237 () (tptp.hBOOL (tptp.hAPP_A1059798043i_bool (tptp.hAPP_f1559864639i_bool tptp.arrow_1322316103ctator @t73) @t236))) % 0.45/0.73 (define @t238 () (tptp.hAPP_A2044747691t_bool @t75 @t236)) % 0.45/0.73 (define @t239 () (not @t224)) % 0.45/0.73 (define @t240 () (@var "B" tptp.fun_Pr534938793l_bool)) % 0.45/0.73 (define @t241 () (@var "F" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t242 () (tptp.member_bool (tptp.hAPP_P751176071t_bool @t241 @t91))) % 0.45/0.73 (define @t243 () (tptp.hBOOL (tptp.hAPP_f387058535l_bool @t242 (tptp.hAPP_P2005668213l_bool @t240 @t91)))) % 0.45/0.73 (define @t244 () (tptp.member641857340t_bool @t241)) % 0.45/0.73 (define @t245 () (tptp.hBOOL (tptp.hAPP_f180608831l_bool @t244 (tptp.pi_Pro811330557t_bool @t223 @t240)))) % 0.45/0.73 (define @t246 () (@list @t91 @t241 @t223 @t240)) % 0.45/0.73 (define @t247 () (not @t204)) % 0.45/0.73 (define @t248 () (@var "B" tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (define @t249 () (@var "F" tptp.fun_Ar795681735le_alt)) % 0.45/0.73 (define @t250 () (tptp.member1484933012le_alt (tptp.hAPP_A2034733541le_alt @t249 @t94))) % 0.45/0.73 (define @t251 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t250 (tptp.hAPP_A2044747691t_bool @t248 @t94)))) % 0.45/0.73 (define @t252 () (tptp.member844573594le_alt @t249)) % 0.45/0.73 (define @t253 () (tptp.hBOOL (tptp.hAPP_f748921117l_bool @t252 (tptp.pi_Arr447918939le_alt @t202 @t248)))) % 0.45/0.73 (define @t254 () (@list @t94 @t249 @t202 @t248)) % 0.45/0.73 (define @t255 () (not @t222)) % 0.45/0.73 (define @t256 () (@var "B" tptp.fun_bo230129725t_bool)) % 0.45/0.73 (define @t257 () (@var "F" tptp.fun_bo1156530537le_alt)) % 0.45/0.73 (define @t258 () (tptp.member1484933012le_alt (tptp.hAPP_b98736263le_alt @t257 @t97))) % 0.45/0.73 (define @t259 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t258 (tptp.hAPP_b1848524425t_bool @t256 @t97)))) % 0.45/0.73 (define @t260 () (tptp.member158436796le_alt @t257)) % 0.45/0.73 (define @t261 () (tptp.hBOOL (tptp.hAPP_f899216831l_bool @t260 (tptp.pi_boo158890749le_alt @t221 @t256)))) % 0.45/0.73 (define @t262 () (@list @t97 @t257 @t221 @t256)) % 0.45/0.73 (define @t263 () (@var "B" tptp.fun_Ar1784032663l_bool)) % 0.45/0.73 (define @t264 () (@var "F" tptp.fun_Ar1200683263t_bool)) % 0.45/0.73 (define @t265 () (tptp.member558395596t_bool (tptp.hAPP_A1159468061t_bool @t264 @t94))) % 0.45/0.73 (define @t266 () (tptp.hBOOL (tptp.hAPP_f1237345129l_bool @t265 (tptp.hAPP_A1790795747l_bool @t263 @t94)))) % 0.45/0.73 (define @t267 () (tptp.member1701178322t_bool @t264)) % 0.45/0.73 (define @t268 () (tptp.hBOOL (tptp.hAPP_f1753158741l_bool @t267 (tptp.pi_Arr1077238675t_bool @t202 @t263)))) % 0.45/0.73 (define @t269 () (@list @t94 @t264 @t202 @t263)) % 0.45/0.73 (define @t270 () (@var "B" tptp.fun_bo1613497205l_bool)) % 0.45/0.73 (define @t271 () (@var "F" tptp.fun_bo478202017t_bool)) % 0.45/0.73 (define @t272 () (tptp.member558395596t_bool (tptp.hAPP_b114674879t_bool @t271 @t97))) % 0.45/0.73 (define @t273 () (tptp.hBOOL (tptp.hAPP_f1237345129l_bool @t272 (tptp.hAPP_b1178471617l_bool @t270 @t97)))) % 0.45/0.73 (define @t274 () (tptp.member1494646772t_bool @t271)) % 0.45/0.73 (define @t275 () (tptp.hBOOL (tptp.hAPP_f1481710327l_bool @t274 (tptp.pi_boo2120406325t_bool @t221 @t270)))) % 0.45/0.73 (define @t276 () (@list @t97 @t271 @t221 @t270)) % 0.45/0.73 (define @t277 () (@var "B" tptp.fun_Ar884201459l_bool)) % 0.45/0.73 (define @t278 () (@var "F" tptp.fun_Ar1570071899t_bool)) % 0.45/0.73 (define @t279 () (tptp.member256508712t_bool (tptp.hAPP_A1168502649t_bool @t278 @t94))) % 0.45/0.73 (define @t280 () (tptp.hBOOL (tptp.hAPP_f1435434693l_bool @t279 (tptp.hAPP_A107624255l_bool @t277 @t94)))) % 0.45/0.73 (define @t281 () (tptp.member2069173038t_bool @t278)) % 0.45/0.73 (define @t282 () (tptp.hBOOL (tptp.hAPP_f598211249l_bool @t281 (tptp.pi_Arr478149871t_bool @t202 @t277)))) % 0.45/0.73 (define @t283 () (@list @t94 @t278 @t202 @t277)) % 0.45/0.73 (define @t284 () (@var "B" tptp.fun_bo2138151889l_bool)) % 0.45/0.73 (define @t285 () (@var "F" tptp.fun_bo2136393469t_bool)) % 0.45/0.73 (define @t286 () (tptp.member256508712t_bool (tptp.hAPP_b1112685083t_bool @t285 @t97))) % 0.45/0.73 (define @t287 () (tptp.hBOOL (tptp.hAPP_f1435434693l_bool @t286 (tptp.hAPP_b930206237l_bool @t284 @t97)))) % 0.45/0.73 (define @t288 () (tptp.member1211611472t_bool @t285)) % 0.45/0.73 (define @t289 () (tptp.hBOOL (tptp.hAPP_f759862099l_bool @t288 (tptp.pi_boo853084305t_bool @t221 @t284)))) % 0.45/0.73 (define @t290 () (@list @t97 @t285 @t221 @t284)) % 0.45/0.73 (define @t291 () (@var "B" tptp.fun_bo1803678369l_bool)) % 0.45/0.73 (define @t292 () (@var "F" tptp.fun_bo230129725t_bool)) % 0.45/0.73 (define @t293 () (tptp.member641857340t_bool (tptp.hAPP_b1848524425t_bool @t292 @t97))) % 0.45/0.73 (define @t294 () (tptp.hBOOL (tptp.hAPP_f180608831l_bool @t293 (tptp.hAPP_b1017527359l_bool @t291 @t97)))) % 0.45/0.73 (define @t295 () (tptp.member2079888426t_bool @t292)) % 0.45/0.73 (define @t296 () (tptp.hBOOL (tptp.hAPP_f639792199l_bool @t295 (tptp.pi_boo683563155t_bool @t221 @t291)))) % 0.45/0.73 (define @t297 () (@list @t97 @t292 @t221 @t291)) % 0.45/0.73 (define @t298 () (@var "B" tptp.fun_Pr123985543i_bool)) % 0.45/0.73 (define @t299 () (@var "F" tptp.fun_Pr506339783e_indi)) % 0.45/0.73 (define @t300 () (tptp.member1124131880e_indi (tptp.hAPP_P163170789e_indi @t299 @t91))) % 0.45/0.73 (define @t301 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t300 (tptp.hAPP_P259956691i_bool @t298 @t91)))) % 0.45/0.73 (define @t302 () (tptp.member555231642e_indi @t299)) % 0.45/0.73 (define @t303 () (tptp.hBOOL (tptp.hAPP_f1270259485l_bool @t302 (tptp.pi_Pro723839835e_indi @t223 @t298)))) % 0.45/0.73 (define @t304 () (@list @t91 @t299 @t223 @t298)) % 0.45/0.73 (define @t305 () (not @t226)) % 0.45/0.73 (define @t306 () (@var "B" tptp.fun_fu23838287i_bool)) % 0.45/0.73 (define @t307 () (@var "F" tptp.fun_fu2069019647e_indi)) % 0.45/0.73 (define @t308 () (tptp.member1124131880e_indi (tptp.hAPP_f1631746589e_indi @t307 @t85))) % 0.45/0.73 (define @t309 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t308 (tptp.hAPP_f1511451035i_bool @t306 @t85)))) % 0.45/0.73 (define @t310 () (tptp.member422031058e_indi @t307)) % 0.45/0.73 (define @t311 () (tptp.hBOOL (tptp.hAPP_f243652437l_bool @t310 (tptp.pi_fun1549517203e_indi @t225 @t306)))) % 0.45/0.73 (define @t312 () (@list @t85 @t307 @t225 @t306)) % 0.45/0.73 (define @t313 () (@var "B" tptp.fun_fu658952305l_bool)) % 0.45/0.73 (define @t314 () (@var "F" tptp.fun_fu103733537l_bool)) % 0.45/0.73 (define @t315 () (tptp.member_bool (tptp.hAPP_f1095388607l_bool @t314 @t85))) % 0.45/0.73 (define @t316 () (tptp.hBOOL (tptp.hAPP_f387058535l_bool @t315 (tptp.hAPP_f1418708797l_bool @t313 @t85)))) % 0.45/0.73 (define @t317 () (tptp.member1120178292l_bool @t314)) % 0.45/0.73 (define @t318 () (tptp.hBOOL (tptp.hAPP_f1394256759l_bool @t317 (tptp.pi_fun953636405l_bool @t225 @t313)))) % 0.45/0.73 (define @t319 () (@list @t85 @t314 @t225 @t313)) % 0.45/0.73 (define @t320 () (not @t228)) % 0.45/0.73 (define @t321 () (@var "B" tptp.fun_fu1950461939i_bool)) % 0.45/0.73 (define @t322 () (@var "F" tptp.fun_fu1743730523e_indi)) % 0.45/0.73 (define @t323 () (tptp.member1124131880e_indi (tptp.hAPP_f87993209e_indi @t322 @t88))) % 0.45/0.73 (define @t324 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t323 (tptp.hAPP_f1559864639i_bool @t321 @t88)))) % 0.45/0.73 (define @t325 () (tptp.member95348014e_indi @t322)) % 0.45/0.73 (define @t326 () (tptp.hBOOL (tptp.hAPP_f174050481l_bool @t325 (tptp.pi_fun1545124079e_indi @t227 @t321)))) % 0.45/0.73 (define @t327 () (@list @t88 @t322 @t227 @t321)) % 0.45/0.73 (define @t328 () (@var "B" tptp.fun_fu1734842389l_bool)) % 0.45/0.73 (define @t329 () (@var "F" tptp.fun_fu1251737213l_bool)) % 0.45/0.73 (define @t330 () (tptp.member_bool (tptp.hAPP_f725100827l_bool @t329 @t88))) % 0.45/0.73 (define @t331 () (tptp.hBOOL (tptp.hAPP_f387058535l_bool @t330 (tptp.hAPP_f626809057l_bool @t328 @t88)))) % 0.45/0.73 (define @t332 () (tptp.member326955216l_bool @t329)) % 0.45/0.73 (define @t333 () (tptp.hBOOL (tptp.hAPP_f1827424979l_bool @t332 (tptp.pi_fun465500049l_bool @t227 @t328)))) % 0.45/0.73 (define @t334 () (@list @t88 @t329 @t227 @t328)) % 0.45/0.73 (define @t335 () (not @t230)) % 0.45/0.73 (define @t336 () (@var "B" tptp.fun_fu1867632401i_bool)) % 0.45/0.73 (define @t337 () (@var "F" tptp.fun_fu334384573e_indi)) % 0.45/0.73 (define @t338 () (tptp.member1124131880e_indi (tptp.hAPP_f671542927e_indi @t337 @t82))) % 0.45/0.73 (define @t339 () (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t338 (tptp.hAPP_f906860201i_bool @t336 @t82)))) % 0.45/0.73 (define @t340 () (tptp.member993084970e_indi @t337)) % 0.45/0.73 (define @t341 () (tptp.hBOOL (tptp.hAPP_f359017159l_bool @t340 (tptp.pi_fun2132478361e_indi @t229 @t336)))) % 0.45/0.73 (define @t342 () (@list @t82 @t337 @t229 @t336)) % 0.45/0.73 (define @t343 () (@var "B" tptp.fun_fu1903211571l_bool)) % 0.45/0.73 (define @t344 () (@var "F" tptp.fun_fu383145951l_bool)) % 0.45/0.73 (define @t345 () (tptp.member_bool (tptp.hAPP_f1944886577l_bool @t344 @t82))) % 0.45/0.73 (define @t346 () (tptp.hBOOL (tptp.hAPP_f387058535l_bool @t345 (tptp.hAPP_f2128533835l_bool @t343 @t82)))) % 0.45/0.73 (define @t347 () (tptp.member85421004l_bool @t344)) % 0.45/0.73 (define @t348 () (tptp.hBOOL (tptp.hAPP_f1347377641l_bool @t347 (tptp.pi_fun779925307l_bool @t229 @t343)))) % 0.45/0.73 (define @t349 () (@list @t82 @t344 @t229 @t343)) % 0.45/0.73 (define @t350 () (@var "B" tptp.fun_fu746839971l_bool)) % 0.45/0.73 (define @t351 () (@var "F" tptp.fun_fu50365883t_bool)) % 0.45/0.73 (define @t352 () (tptp.member641857340t_bool (tptp.hAPP_f718157575t_bool @t351 @t85))) % 0.45/0.73 (define @t353 () (tptp.hBOOL (tptp.hAPP_f180608831l_bool @t352 (tptp.hAPP_f1265202753l_bool @t350 @t85)))) % 0.45/0.73 (define @t354 () (tptp.member256508712t_bool @t351)) % 0.45/0.73 (define @t355 () (tptp.hBOOL (tptp.hAPP_f1435434693l_bool @t354 (tptp.pi_fun456133649t_bool @t225 @t350)))) % 0.45/0.73 (define @t356 () (@list @t85 @t351 @t225 @t350)) % 0.45/0.73 (define @t357 () (@var "B" tptp.fun_Ar1821573119l_bool)) % 0.45/0.73 (define @t358 () (@var "F" tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (define @t359 () (tptp.member641857340t_bool (tptp.hAPP_A2044747691t_bool @t358 @t94))) % 0.45/0.73 (define @t360 () (tptp.hBOOL (tptp.hAPP_f180608831l_bool @t359 (tptp.hAPP_A1710743709l_bool @t357 @t94)))) % 0.45/0.73 (define @t361 () (tptp.member558395596t_bool @t358)) % 0.45/0.73 (define @t362 () (tptp.hBOOL (tptp.hAPP_f1237345129l_bool @t361 (tptp.pi_Arr1358199477t_bool @t202 @t357)))) % 0.45/0.73 (define @t363 () (@list @t94 @t358 @t202 @t357)) % 0.45/0.73 (define @t364 () (@var "X_1" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t365 () (@var "Na" tptp.nat)) % 0.45/0.73 (define @t366 () (@var "B" tptp.fun_bool_bool)) % 0.45/0.73 (define @t367 () (@var "B" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t368 () (@var "B" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t369 () (@var "B" tptp.fun_fu103733537l_bool)) % 0.45/0.73 (define @t370 () (@var "B" tptp.fun_fu1251737213l_bool)) % 0.45/0.73 (define @t371 () (@var "B" tptp.fun_fu383145951l_bool)) % 0.45/0.73 (define @t372 () (tptp.member1484933012le_alt (tptp.produc170576535le_alt tptp.b tptp.a))) % 0.45/0.73 (define @t373 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t372 tptp.lba))) % 0.45/0.73 (define @t374 () (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t372 tptp.lab))) % 0.45/0.73 (define @t375 () (tptp.member1484933012le_alt (tptp.produc170576535le_alt tptp.a tptp.b))) % 0.45/0.73 (define @t376 () (@var "P" tptp.bool)) % 0.45/0.73 (define @t377 () (@var "Y" tptp.nat)) % 0.45/0.73 (define @t378 () (@var "X" tptp.nat)) % 0.45/0.73 (define @t379 () (= @t378 @t377)) % 0.45/0.73 (define @t380 () (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.fequal_nat @t378) @t377))) % 0.45/0.73 (define @t381 () (@list @t378 @t377)) % 0.45/0.73 (define @t382 () (@var "Q" tptp.arrow_501706939e_indi)) % 0.45/0.73 (define @t383 () (@var "Q" tptp.nat)) % 0.45/0.73 (define @t384 () (@var "R" tptp.arrow_501706939e_indi)) % 0.45/0.73 (define @t385 () (@var "P" tptp.fun_Ar156616864t_bool)) % 0.45/0.73 (define @t386 () (@var "Q" tptp.fun_Ar2035712896di_nat)) % 0.45/0.73 (define @t387 () (@var "P" tptp.fun_nat_fun_nat_bool)) % 0.45/0.73 (define @t388 () (@var "Q" tptp.produc624534567le_alt)) % 0.45/0.73 (define @t389 () (@var "X" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t390 () (@var "Y" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t391 () (@list @t389 @t390)) % 0.45/0.73 (define @t392 () (@var "Q" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t393 () (@var "P" tptp.fun_bool_bool)) % 0.45/0.73 (define @t394 () (@var "P" tptp.fun_Pr1639951081t_bool)) % 0.45/0.73 (define @t395 () (@var "Q" tptp.bool)) % 0.45/0.73 (define @t396 () (@var "P" tptp.fun_fu383145951l_bool)) % 0.45/0.73 (define @t397 () (@var "P" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t398 () (@var "Q" tptp.fun_Ar2047178847t_bool)) % 0.45/0.73 (define @t399 () (@var "P" tptp.fun_fu103733537l_bool)) % 0.45/0.73 (define @t400 () (@var "Q" tptp.arrow_1621810872le_alt)) % 0.45/0.73 (define @t401 () (@var "P" tptp.fun_Ar1757019876t_bool)) % 0.45/0.73 (define @t402 () (@var "P" tptp.fun_Ar2079322857t_bool)) % 0.45/0.73 (define @t403 () (@var "P" tptp.fun_Ar2040671475t_bool)) % 0.45/0.73 (define @t404 () (tptp.hAPP_A301260095t_bool @t403 @t384)) % 0.45/0.73 (define @t405 () (tptp.hAPP_A2044747691t_bool @t398 @t384)) % 0.45/0.73 (define @t406 () (@var "Q" tptp.fun_fu50365883t_bool)) % 0.45/0.73 (define @t407 () (@var "P" tptp.fun_fu1251737213l_bool)) % 0.45/0.73 (define @t408 () (@var "P" tptp.fun_fu1760369922t_bool)) % 0.45/0.73 (define @t409 () (@var "P" tptp.fun_fu193278215t_bool)) % 0.45/0.73 (define @t410 () (@var "P" tptp.fun_Ar2100459655t_bool)) % 0.45/0.73 (define @t411 () (tptp.hAPP_A1985966547t_bool @t410 @t384)) % 0.45/0.73 (define @t412 () (@var "Q" tptp.fun_Ar1871347069i_bool)) % 0.45/0.73 (define @t413 () (@var "P" tptp.fun_bo292969573t_bool)) % 0.45/0.73 (define @t414 () (@list false)) % 0.45/0.73 (assume @p1 (tptp.hBOOL (tptp.hAPP_f725100827l_bool tptp.arrow_981905126le_IIA tptp.f))) % 0.45/0.73 (assume @p2 (tptp.hBOOL (tptp.hAPP_f725100827l_bool tptp.arrow_807483785nimity tptp.f))) % 0.45/0.73 (assume @p3 (not (= tptp.c tptp.d))) % 0.45/0.73 (assume @p4 (tptp.hBOOL (tptp.hAPP_f1237345129l_bool (tptp.member558395596t_bool tptp.p) tptp.arrow_1880704820e_Prof))) % 0.45/0.73 (assume @p5 (forall @t13 (= (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t4 (tptp.hAPP_A476679046t_bool @t12 @t6))) (and @t11 (=> @t7 @t9) (=> @t8 @t5))))) % 0.45/0.73 (assume @p6 (forall @t13 (= (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t4 (tptp.hAPP_A476679046t_bool @t14 @t6))) (and @t8 (=> @t10 @t9) (=> @t11 @t5))))) % 0.45/0.73 (assume @p7 (forall @t40 (=> @t39 (=> @t38 (=> @t37 (=> @t36 @t35)))))) % 0.45/0.73 (assume @p8 (forall @t40 (=> @t39 (=> @t38 (=> @t37 (=> @t36 (=> @t34 (=> @t33 (=> @t32 (=> @t27 @t21)))))))))) % 0.45/0.73 (assume @p9 (forall (@list @t15 @t22 @t41 @t24 @t23) (=> @t39 (=> (not (= @t23 @t41)) (=> (not (= @t24 @t41)) (=> @t34 (=> @t33 (=> (forall @t31 (= @t30 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t42 @t29)))) (= @t27 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t42 @t16))))))))))) % 0.45/0.73 (assume @p10 (forall @t40 (=> @t39 (=> @t38 @t35)))) % 0.45/0.73 (assume @p11 (forall (@list @t15 @t22 @t24 @t23) (=> @t39 (=> @t34 (=> @t33 (=> (forall @t31 (= @t30 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t43 @t29)))) (= @t27 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t43 @t16))))))))) % 0.45/0.73 (assume @p12 (forall @t31 (= (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t46 @t44)) (and (=> @t51 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t46 @t53))) (=> @t52 (and (=> @t48 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t46 @t50))) (=> @t49 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t46 @t45))))))))) % 0.45/0.73 (assume @p13 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t46 (tptp.hAPP_A2044747691t_bool tptp.p (tptp.hAPP_n1582158000e_indi (tptp.hilber797233813di_nat tptp.top_to850136695i_bool tptp.h) tptp.n))))) % 0.45/0.73 (assume @p14 @t58) % 0.45/0.73 (assume @p15 (= @t59 @t58)) % 0.45/0.73 (assume @p16 (forall (@list @t63) (= (forall (@list @t65) (tptp.hBOOL (tptp.hAPP_P751176071t_bool @t63 @t65))) (forall @t64 (tptp.hBOOL (tptp.hAPP_P751176071t_bool @t63 @t62)))))) % 0.45/0.73 (assume @p17 (tptp.hBOOL (tptp.hAPP_f1237345129l_bool (tptp.member558395596t_bool @t56) tptp.arrow_1880704820e_Prof))) % 0.45/0.73 (assume @p18 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool (tptp.member1484933012le_alt (tptp.produc170576535le_alt tptp.c tptp.e)) @t57))) % 0.45/0.73 (assume @p19 @t67) % 0.45/0.73 (assume @p20 (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat tptp.n) (tptp.finite1317065577e_indi tptp.top_to850136695i_bool)))) % 0.45/0.73 (assume @p21 (tptp.hBOOL (tptp.inj_on1177549232di_nat tptp.h tptp.top_to850136695i_bool))) % 0.45/0.73 (assume @p22 (forall (@list @t71 @t69 @t70 @t68) (=> (= (tptp.produc170576535le_alt @t71 @t69) (tptp.produc170576535le_alt @t70 @t68)) (not (=> (= @t71 @t70) (not (= @t69 @t68))))))) % 0.45/0.73 (assume @p23 (forall (@list @t24 @t23 @t18 @t17) (= (= @t25 @t19) (and (= @t24 @t18) (= @t23 @t17))))) % 0.45/0.73 (assume @p24 (forall @t81 (= (tptp.hBOOL (tptp.hAPP_f725100827l_bool tptp.arrow_981905126le_IIA @t73)) (forall @t80 (=> @t79 (forall (@list @t72) (=> (tptp.hBOOL (tptp.hAPP_f1237345129l_bool (tptp.member558395596t_bool @t72) tptp.arrow_1880704820e_Prof)) (forall @t64 (=> (forall @t31 (= @t78 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t74 (tptp.hAPP_A2044747691t_bool @t72 @t28))))) (= @t77 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t74 (tptp.hAPP_f718157575t_bool @t73 @t72))))))))))))) % 0.45/0.73 (assume @p25 (forall @t81 (= (tptp.hBOOL (tptp.hAPP_f725100827l_bool tptp.arrow_807483785nimity @t73)) (forall @t80 (=> @t79 (forall @t64 (=> (forall @t31 @t78) @t77))))))) % 0.45/0.73 (assume @p26 (forall @t84 @t83)) % 0.45/0.73 (assume @p27 (forall @t87 @t86)) % 0.45/0.73 (assume @p28 (forall @t90 @t89)) % 0.45/0.73 (assume @p29 (forall @t93 @t92)) % 0.45/0.73 (assume @p30 (forall @t96 @t95)) % 0.45/0.73 (assume @p31 (forall (@list @t97) (tptp.hBOOL (tptp.hAPP_f387058535l_bool @t98 tptp.top_to1647826457l_bool)))) % 0.45/0.73 (assume @p32 (forall @t96 (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t99 tptp.top_to850136695i_bool)))) % 0.45/0.73 (assume @p33 (forall @t93 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t100 tptp.top_to710777827t_bool)))) % 0.45/0.73 (assume @p34 (forall @t87 (tptp.hBOOL (tptp.hAPP_f1237345129l_bool @t101 tptp.top_to653038619l_bool)))) % 0.45/0.73 (assume @p35 (forall @t90 (tptp.hBOOL (tptp.hAPP_f1435434693l_bool @t102 tptp.top_to2127553399l_bool)))) % 0.45/0.73 (assume @p36 (forall @t84 (tptp.hBOOL (tptp.hAPP_f180608831l_bool @t103 tptp.top_to1057791589l_bool)))) % 0.45/0.73 (assume @p37 (forall @t84 (= @t83 @t104))) % 0.45/0.73 (assume @p38 (forall @t87 (= @t86 @t104))) % 0.45/0.73 (assume @p39 (forall @t90 (= @t89 @t104))) % 0.45/0.73 (assume @p40 (forall @t93 (= @t92 @t104))) % 0.45/0.73 (assume @p41 (forall @t96 (= @t95 @t104))) % 0.45/0.73 (assume @p42 (forall @t106 (not (tptp.hBOOL (tptp.hAPP_f180608831l_bool (tptp.hAPP_f279586623l_bool tptp.ord_le1472193545l_bool tptp.top_to1057791589l_bool) @t105))))) % 0.45/0.73 (assume @p43 (forall @t108 (not (tptp.hBOOL (tptp.hAPP_f1237345129l_bool (tptp.hAPP_f786935331l_bool tptp.ord_le2059466615l_bool tptp.top_to653038619l_bool) @t107))))) % 0.45/0.73 (assume @p44 (forall @t110 (not (tptp.hBOOL (tptp.hAPP_f1435434693l_bool (tptp.hAPP_f1303771867l_bool tptp.ord_le1419690707l_bool tptp.top_to2127553399l_bool) @t109))))) % 0.45/0.73 (assume @p45 (forall @t112 (not (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool tptp.top_top_bool) @t111))))) % 0.45/0.73 (assume @p46 (forall @t114 (not (tptp.hBOOL (tptp.hAPP_f1944886577l_bool (tptp.hAPP_f1911990195l_bool tptp.ord_le1051050815t_bool tptp.top_to710777827t_bool) @t113))))) % 0.45/0.73 (assume @p47 (forall @t116 (not (tptp.hBOOL (tptp.hAPP_f90330565l_bool (tptp.hAPP_f1993665755l_bool tptp.ord_le287438291i_bool tptp.top_to850136695i_bool) @t115))))) % 0.45/0.73 (assume @p48 (forall (@list @t117 @t118) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t117) @t118))) (=> (not (= @t117 @t118)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t118) @t117)))))) % 0.45/0.73 (assume @p49 (forall @t125 (=> @t124 (not @t122)))) % 0.45/0.73 (assume @p50 (forall (@list @t126 @t127) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t126) @t127)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t127) @t126)))))) % 0.45/0.73 (assume @p51 (forall (@list @t128 @t120 @t119) (=> @t122 (=> (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t129 @t120)) (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t129 @t119)))))) % 0.45/0.73 (assume @p52 (forall (@list @t131 @t133 @t130) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t133) @t130)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t132 @t133)) (tptp.hBOOL (tptp.hAPP_nat_bool @t132 @t130)))))) % 0.45/0.73 (assume @p53 (forall (@list @t128 @t119 @t120) (=> @t124 (=> (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t121 @t128)) (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t123 @t128)))))) % 0.45/0.73 (assume @p54 (forall (@list @t134 @t135 @t137) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t136 @t137)) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t137) @t134)) (tptp.hBOOL (tptp.hAPP_nat_bool @t136 @t134)))))) % 0.45/0.73 (assume @p55 (forall (@list @t138 @t141 @t115) (=> @t144 (=> @t142 @t140)))) % 0.45/0.73 (assume @p56 (forall (@list @t146 @t147 @t145) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t147) @t145)) (=> (= @t147 @t146) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t146) @t145)))))) % 0.45/0.73 (assume @p57 (forall @t151 (=> @t150 (=> @t142 @t149)))) % 0.45/0.73 (assume @p58 (forall (@list @t152 @t153 @t155) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t154 @t155)) (=> (= @t155 @t152) (tptp.hBOOL (tptp.hAPP_nat_bool @t154 @t152)))))) % 0.45/0.73 (assume @p59 (forall @t151 (=> @t156 (=> (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t139 @t141)) @t140)))) % 0.45/0.73 (assume @p60 (forall (@list @t158 @t157 @t160) (=> (= @t157 @t160) (=> (tptp.hBOOL (tptp.hAPP_nat_bool @t159 @t160)) (tptp.hBOOL (tptp.hAPP_nat_bool @t159 @t157)))))) % 0.45/0.73 (assume @p61 (forall @t151 (=> @t156 (=> (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t143 @t138)) @t149)))) % 0.45/0.73 (assume @p62 (forall (@list @t161 @t162 @t163) (=> (= @t162 @t163) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t163) @t161)) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t162) @t161)))))) % 0.45/0.73 (assume @p63 (forall (@list @t141 @t115) (=> @t144 (not @t150)))) % 0.45/0.73 (assume @p64 (forall (@list @t164 @t165) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t164) @t165)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t165) @t164)))))) % 0.45/0.73 (assume @p65 (forall (@list @t115 @t141) (=> @t150 (not @t144)))) % 0.45/0.73 (assume @p66 (forall (@list @t166 @t167) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t166) @t167)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t167) @t166)))))) % 0.45/0.73 (assume @p67 (forall (@list @t168 @t119 @t120) (=> @t124 (=> @t122 @t169)))) % 0.45/0.73 (assume @p68 (forall (@list @t168 @t170 @t171) (=> @t173 (=> @t172 @t169)))) % 0.45/0.73 (assume @p69 (forall @t125 (=> @t124 (not (= @t120 @t119))))) % 0.45/0.73 (assume @p70 (forall (@list @t174 @t175) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t174) @t175)) (not (= @t175 @t174))))) % 0.45/0.73 (assume @p71 (forall @t125 (=> @t124 (not (= @t119 @t120))))) % 0.45/0.73 (assume @p72 (forall (@list @t177 @t176) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t177) @t176)) (not (= @t177 @t176))))) % 0.45/0.73 (assume @p73 (forall (@list @t178 @t179) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t178) @t179)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t179) @t178)))))) % 0.45/0.73 (assume @p74 (forall (@list @t180 @t181) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t180) @t181)) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t181) @t180)))))) % 0.45/0.73 (assume @p75 (forall (@list @t183 @t182) (=> (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t183) @t182)) (not (= @t183 @t182))))) % 0.45/0.73 (assume @p76 (forall (@list @t184 @t185) (=> (not (= @t184 @t185)) (=> (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t184) @t185))) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t185) @t184)))))) % 0.45/0.73 (assume @p77 (forall (@list @t171 @t170) (=> (not @t172) (= @t187 @t186)))) % 0.45/0.73 (assume @p78 (forall (@list @t188 @t189) (or (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t188) @t189)) (= @t188 @t189) (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t189) @t188))))) % 0.45/0.73 (assume @p79 (forall @t190 (= @t187 (or @t172 @t186)))) % 0.45/0.73 (assume @p80 (forall @t190 (= (not @t186) (or @t173 @t172)))) % 0.45/0.73 (assume @p81 (forall (@list @t119) (not (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t123 @t119))))) % 0.45/0.73 (assume @p82 (forall (@list @t191) (not (tptp.hBOOL (tptp.hAPP_nat_bool (tptp.hAPP_n1699378549t_bool tptp.ord_less_nat @t191) @t191))))) % 0.45/0.73 (assume @p83 (= tptp.top_to1057791589l_bool (tptp.collec1697917566t_bool (tptp.hAPP_b1017527359l_bool tptp.cOMBK_1801013008t_bool tptp.fTrue)))) % 0.45/0.73 (assume @p84 (= tptp.top_to653038619l_bool (tptp.collec861220362t_bool (tptp.hAPP_b1178471617l_bool tptp.cOMBK_70145528t_bool tptp.fTrue)))) % 0.45/0.73 (assume @p85 (= tptp.top_to2127553399l_bool (tptp.collec154865254t_bool (tptp.hAPP_b930206237l_bool tptp.cOMBK_1362474068t_bool tptp.fTrue)))) % 0.45/0.73 (assume @p86 (= tptp.top_to710777827t_bool (tptp.collec2140722898le_alt (tptp.hAPP_b1848524425t_bool tptp.cOMBK_350462144le_alt tptp.fTrue)))) % 0.45/0.73 (assume @p87 (= tptp.top_to850136695i_bool (tptp.collec1241994086e_indi (tptp.hAPP_b611520797i_bool tptp.cOMBK_206372180e_indi tptp.fTrue)))) % 0.45/0.73 (assume @p88 (forall (@list @t192 @t193) (= (forall (@list @t195 @t194) (= (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t196 @t193)) (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t196 @t192)))) (= @t193 @t192)))) % 0.45/0.73 (assume @p89 (forall @t106 (= (not (= @t105 tptp.top_to1057791589l_bool)) (tptp.hBOOL (tptp.hAPP_f180608831l_bool (tptp.hAPP_f279586623l_bool tptp.ord_le1472193545l_bool @t105) tptp.top_to1057791589l_bool))))) % 0.45/0.73 (assume @p90 (forall @t108 (= (not (= @t107 tptp.top_to653038619l_bool)) (tptp.hBOOL (tptp.hAPP_f1237345129l_bool (tptp.hAPP_f786935331l_bool tptp.ord_le2059466615l_bool @t107) tptp.top_to653038619l_bool))))) % 0.45/0.73 (assume @p91 (forall @t110 (= (not (= @t109 tptp.top_to2127553399l_bool)) (tptp.hBOOL (tptp.hAPP_f1435434693l_bool (tptp.hAPP_f1303771867l_bool tptp.ord_le1419690707l_bool @t109) tptp.top_to2127553399l_bool))))) % 0.45/0.73 (assume @p92 (forall @t112 (= (not (= (tptp.hBOOL @t111) @t104)) (tptp.hBOOL (tptp.hAPP_bool_bool (tptp.hAPP_b589554111l_bool tptp.ord_less_bool @t111) tptp.top_top_bool))))) % 0.45/0.73 (assume @p93 (forall @t114 (= (not (= @t113 tptp.top_to710777827t_bool)) (tptp.hBOOL (tptp.hAPP_f1944886577l_bool (tptp.hAPP_f1911990195l_bool tptp.ord_le1051050815t_bool @t113) tptp.top_to710777827t_bool))))) % 0.45/0.73 (assume @p94 (forall @t116 (= (not (= @t115 tptp.top_to850136695i_bool)) (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t148 tptp.top_to850136695i_bool))))) % 0.45/0.73 (assume @p95 (forall (@list @t94 @t171 @t197) (=> @t201 (=> @t200 (= (tptp.hAPP_n1582158000e_indi @t198 @t171) @t94))))) % 0.45/0.73 (assume @p96 (forall (@list @t94 @t197) (=> @t201 (= (tptp.hAPP_n1582158000e_indi @t198 @t199) @t94)))) % 0.45/0.73 (assume @p97 (forall (@list @t94 @t197 @t202) (=> @t205 (=> @t204 (= (tptp.hAPP_n1582158000e_indi @t203 @t199) @t94))))) % 0.45/0.73 (assume @p98 (forall (@list @t171 @t94 @t197 @t202) (=> @t205 (=> @t204 (=> @t200 (= (tptp.hAPP_n1582158000e_indi @t203 @t171) @t94)))))) % 0.45/0.73 (assume @p99 (forall @t210 (=> @t201 @t209))) % 0.45/0.73 (assume @p100 (forall (@list @t197 @t202) (= @t205 (forall (@list @t212) (=> (tptp.hBOOL (tptp.hAPP_f90330565l_bool (tptp.member1124131880e_indi @t212) @t202)) (forall (@list @t211) (=> (tptp.hBOOL (tptp.hAPP_f90330565l_bool (tptp.member1124131880e_indi @t211) @t202)) (=> (= @t213 (tptp.hAPP_A1741215436di_nat @t197 @t211)) (= @t212 @t211))))))))) % 0.45/0.73 (assume @p101 (forall @t215 (=> @t205 (=> (not @t207) (=> @t204 (=> @t214 (not @t208))))))) % 0.45/0.73 (assume @p102 (forall (@list @t206 @t94 @t197 @t202) (=> @t205 (=> @t204 (=> @t214 @t209))))) % 0.45/0.73 (assume @p103 (forall @t215 (=> @t205 (=> @t208 (=> @t204 (=> @t214 @t207)))))) % 0.45/0.73 (assume @p104 (forall @t210 (=> @t201 (=> @t208 @t207)))) % 0.45/0.73 (assume @p105 (forall (@list @t216 @t197) (=> @t201 (=> (forall (@list @t217) (= (tptp.hAPP_A1741215436di_nat @t197 (tptp.hAPP_n1582158000e_indi @t216 @t217)) @t217)) (= @t198 @t216))))) % 0.45/0.73 (assume @p106 (forall (@list @t197) (=> (forall (@list @t212 @t218) (=> (= @t213 (tptp.hAPP_A1741215436di_nat @t197 @t218)) (= @t212 @t218))) @t201))) % 0.45/0.73 (assume @p107 (tptp.hBOOL (tptp.hAPP_f1435434693l_bool (tptp.member256508712t_bool tptp.f) @t219))) % 0.45/0.73 (assume @p108 (tptp.hBOOL (tptp.hAPP_f180608831l_bool (tptp.member641857340t_bool tptp.lba) tptp.arrow_1008788854le_Lin))) % 0.45/0.73 (assume @p109 (tptp.hBOOL (tptp.hAPP_f180608831l_bool (tptp.member641857340t_bool tptp.lab) tptp.arrow_1008788854le_Lin))) % 0.45/0.73 (assume @p110 (forall (@list @t24 @t23 @t1) (=> @t220 (=> (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t26 @t1)) (not (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t43 @t1))))))) % 0.45/0.73 (assume @p111 (forall (@list @t3 @t2 @t1) (=> @t220 (=> @t9 (= (not @t5) (tptp.hBOOL (tptp.hAPP_f1944886577l_bool (tptp.member1484933012le_alt (tptp.produc170576535le_alt @t2 @t3)) @t1))))))) % 0.45/0.73 (assume @p112 (forall (@list @t94 @t202) (= @t204 (tptp.hBOOL (tptp.hAPP_A1059798043i_bool @t202 @t94))))) % 0.45/0.73 (assume @p113 (forall (@list @t97 @t221) (= @t222 (tptp.hBOOL (tptp.hAPP_bool_bool @t221 @t97))))) % 0.45/0.73 (assume @p114 (forall (@list @t91 @t223) (= @t224 (tptp.hBOOL (tptp.hAPP_P751176071t_bool @t223 @t91))))) % 0.45/0.73 (assume @p115 (forall (@list @t85 @t225) (= @t226 (tptp.hBOOL (tptp.hAPP_f1095388607l_bool @t225 @t85))))) % 0.45/0.73 (assume @p116 (forall (@list @t88 @t227) (= @t228 (tptp.hBOOL (tptp.hAPP_f725100827l_bool @t227 @t88))))) % 0.45/0.73 (assume @p117 (forall (@list @t82 @t229) (= @t230 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t229 @t82))))) % 0.45/0.73 (assume @p118 (forall (@list @t231) (= (tptp.collec1241994086e_indi @t231) @t231))) % 0.45/0.73 (assume @p119 (forall @t232 (=> @t220 (tptp.hBOOL (tptp.hAPP_f180608831l_bool (tptp.member641857340t_bool (tptp.hAPP_A476679046t_bool @t14 @t3)) tptp.arrow_1008788854le_Lin))))) % 0.45/0.73 (assume @p120 (forall @t232 (=> @t220 (tptp.hBOOL (tptp.hAPP_f180608831l_bool (tptp.member641857340t_bool (tptp.hAPP_A476679046t_bool @t12 @t3)) tptp.arrow_1008788854le_Lin))))) % 0.45/0.73 (assume @p121 (forall (@list @t1 @t3 @t2) (=> @t9 (=> @t220 (tptp.hBOOL (tptp.hAPP_f180608831l_bool (tptp.member641857340t_bool (tptp.hAPP_A476679046t_bool (tptp.hAPP_A272835723t_bool @t233 @t3) @t2)) tptp.arrow_1008788854le_Lin)))))) % 0.45/0.73 (assume @p122 (forall (@list @t1) (=> @t220 (tptp.hBOOL (tptp.hAPP_f1237345129l_bool (tptp.member558395596t_bool (tptp.hAPP_f1172974131t_bool tptp.cOMBK_164791446e_indi @t1)) tptp.arrow_1880704820e_Prof))))) % 0.45/0.73 (assume @p123 (forall (@list @t3 @t2 @t1 @t24 @t23) (=> @t39 (=> @t220 (= (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t4 (tptp.hAPP_A476679046t_bool (tptp.hAPP_A272835723t_bool @t233 @t24) @t23))) (and @t9 (=> @t235 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool (tptp.member1484933012le_alt (tptp.produc170576535le_alt @t24 @t2)) @t1))) (=> (not @t235) (and (=> @t234 (or (= @t3 @t24) (tptp.hBOOL (tptp.hAPP_f1944886577l_bool (tptp.member1484933012le_alt (tptp.produc170576535le_alt @t3 @t24)) @t1)))) (=> (not @t234) @t5))))))))) % 0.45/0.73 (assume @p124 (forall (@list @t236 @t73) (=> (tptp.hBOOL (tptp.hAPP_f1435434693l_bool (tptp.member256508712t_bool @t73) @t219)) (=> (forall @t80 (=> @t79 (forall @t64 (=> (not (= @t61 @t60)) (=> (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t74 @t238)) @t77))))) @t237)))) % 0.45/0.73 (assume @p125 (forall @t246 (=> @t245 (=> (not @t243) @t239)))) % 0.45/0.73 (assume @p126 (forall @t254 (=> @t253 (=> (not @t251) @t247)))) % 0.45/0.73 (assume @p127 (forall @t262 (=> @t261 (=> (not @t259) @t255)))) % 0.45/0.73 (assume @p128 (forall @t269 (=> @t268 (=> (not @t266) @t247)))) % 0.45/0.73 (assume @p129 (forall @t276 (=> @t275 (=> (not @t273) @t255)))) % 0.45/0.73 (assume @p130 (forall @t283 (=> @t282 (=> (not @t280) @t247)))) % 0.45/0.73 (assume @p131 (forall @t290 (=> @t289 (=> (not @t287) @t255)))) % 0.45/0.73 (assume @p132 (forall @t297 (=> @t296 (=> (not @t294) @t255)))) % 0.45/0.73 (assume @p133 (forall @t304 (=> @t303 (=> (not @t301) @t239)))) % 0.45/0.73 (assume @p134 (forall @t312 (=> @t311 (=> (not @t309) @t305)))) % 0.45/0.73 (assume @p135 (forall @t319 (=> @t318 (=> (not @t316) @t305)))) % 0.45/0.73 (assume @p136 (forall @t327 (=> @t326 (=> (not @t324) @t320)))) % 0.45/0.73 (assume @p137 (forall @t334 (=> @t333 (=> (not @t331) @t320)))) % 0.45/0.73 (assume @p138 (forall @t342 (=> @t341 (=> (not @t339) @t335)))) % 0.45/0.73 (assume @p139 (forall @t349 (=> @t348 (=> (not @t346) @t335)))) % 0.45/0.73 (assume @p140 (forall @t356 (=> @t355 (=> (not @t353) @t305)))) % 0.45/0.73 (assume @p141 (forall @t363 (=> @t362 (=> (not @t360) @t247)))) % 0.45/0.73 (assume @p142 (forall (@list @t24 @t23) (=> @t39 (exists (@list @t364) (and (tptp.hBOOL (tptp.hAPP_f180608831l_bool (tptp.member641857340t_bool @t364) tptp.arrow_1008788854le_Lin)) (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t26 @t364))))))) % 0.45/0.73 (assume @p143 (forall (@list @t365) (tptp.hBOOL (tptp.hAPP_f1237345129l_bool (tptp.member558395596t_bool (tptp.cOMBC_1257424504t_bool (tptp.cOMBC_64563468t_bool (tptp.cOMBB_124649523e_indi tptp.if_fun95824985t_bool (tptp.cOMBC_998415407t_bool @t54 @t365)) tptp.lab) tptp.lba)) tptp.arrow_1880704820e_Prof)))) % 0.45/0.73 (assume @p144 (forall @t246 (=> @t245 (=> @t224 @t243)))) % 0.45/0.73 (assume @p145 (forall @t304 (=> @t303 (=> @t224 @t301)))) % 0.45/0.73 (assume @p146 (forall @t312 (=> @t311 (=> @t226 @t309)))) % 0.45/0.73 (assume @p147 (forall @t319 (=> @t318 (=> @t226 @t316)))) % 0.45/0.73 (assume @p148 (forall @t327 (=> @t326 (=> @t228 @t324)))) % 0.45/0.73 (assume @p149 (forall @t334 (=> @t333 (=> @t228 @t331)))) % 0.45/0.73 (assume @p150 (forall @t342 (=> @t341 (=> @t230 @t339)))) % 0.45/0.73 (assume @p151 (forall @t349 (=> @t348 (=> @t230 @t346)))) % 0.45/0.73 (assume @p152 (forall @t254 (=> @t253 (=> @t204 @t251)))) % 0.45/0.73 (assume @p153 (forall @t262 (=> @t261 (=> @t222 @t259)))) % 0.45/0.73 (assume @p154 (forall @t269 (=> @t268 (=> @t204 @t266)))) % 0.45/0.73 (assume @p155 (forall @t276 (=> @t275 (=> @t222 @t273)))) % 0.45/0.73 (assume @p156 (forall @t283 (=> @t282 (=> @t204 @t280)))) % 0.45/0.73 (assume @p157 (forall @t290 (=> @t289 (=> @t222 @t287)))) % 0.45/0.73 (assume @p158 (forall @t297 (=> @t296 (=> @t222 @t294)))) % 0.45/0.73 (assume @p159 (forall @t356 (=> @t355 (=> @t226 @t353)))) % 0.45/0.73 (assume @p160 (forall @t363 (=> @t362 (=> @t204 @t360)))) % 0.45/0.73 (assume @p161 (= tptp.arrow_1880704820e_Prof (tptp.pi_Arr1358199477t_bool tptp.top_to850136695i_bool (tptp.hAPP_f1651042461l_bool tptp.cOMBK_2098615510e_indi tptp.arrow_1008788854le_Lin)))) % 0.45/0.73 (assume @p162 (forall (@list @t91 @t241 @t223 @t366) (=> (tptp.hBOOL (tptp.hAPP_f180608831l_bool @t244 (tptp.pi_Pro811330557t_bool @t223 (tptp.hAPP_f1601816755l_bool tptp.cOMBK_290363320le_alt @t366)))) (=> @t224 (tptp.hBOOL (tptp.hAPP_f387058535l_bool @t242 @t366)))))) % 0.45/0.73 (assume @p163 (forall (@list @t91 @t299 @t223 @t367) (=> (tptp.hBOOL (tptp.hAPP_f1270259485l_bool @t302 (tptp.pi_Pro723839835e_indi @t223 (tptp.hAPP_f1561296623i_bool tptp.cOMBK_328807062le_alt @t367)))) (=> @t224 (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t300 @t367)))))) % 0.45/0.73 (assume @p164 (forall (@list @t85 @t307 @t225 @t367) (=> (tptp.hBOOL (tptp.hAPP_f243652437l_bool @t310 (tptp.pi_fun1549517203e_indi @t225 (tptp.hAPP_f823592631i_bool tptp.cOMBK_269839822t_bool @t367)))) (=> @t226 (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t308 @t367)))))) % 0.45/0.73 (assume @p165 (forall (@list @t85 @t314 @t225 @t366) (=> (tptp.hBOOL (tptp.hAPP_f1394256759l_bool @t317 (tptp.pi_fun953636405l_bool @t225 (tptp.hAPP_f1325493883l_bool tptp.cOMBK_167511280t_bool @t366)))) (=> @t226 (tptp.hBOOL (tptp.hAPP_f387058535l_bool @t315 @t366)))))) % 0.45/0.73 (assume @p166 (forall (@list @t88 @t322 @t227 @t367) (=> (tptp.hBOOL (tptp.hAPP_f174050481l_bool @t325 (tptp.pi_fun1545124079e_indi @t227 (tptp.hAPP_f1224613979i_bool tptp.cOMBK_519762474t_bool @t367)))) (=> @t228 (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t323 @t367)))))) % 0.45/0.73 (assume @p167 (forall (@list @t88 @t329 @t227 @t366) (=> (tptp.hBOOL (tptp.hAPP_f1827424979l_bool @t332 (tptp.pi_fun465500049l_bool @t227 (tptp.hAPP_f1364914207l_bool tptp.cOMBK_1853791052t_bool @t366)))) (=> @t228 (tptp.hBOOL (tptp.hAPP_f387058535l_bool @t330 @t366)))))) % 0.45/0.73 (assume @p168 (forall (@list @t82 @t337 @t229 @t367) (=> (tptp.hBOOL (tptp.hAPP_f359017159l_bool @t340 (tptp.pi_fun2132478361e_indi @t229 (tptp.hAPP_f1364159657i_bool tptp.cOMBK_1207925178t_bool @t367)))) (=> @t230 (tptp.hBOOL (tptp.hAPP_f90330565l_bool @t338 @t367)))))) % 0.45/0.73 (assume @p169 (forall (@list @t82 @t344 @t229 @t366) (=> (tptp.hBOOL (tptp.hAPP_f1347377641l_bool @t347 (tptp.pi_fun779925307l_bool @t229 (tptp.hAPP_f1230984105l_bool tptp.cOMBK_1838733848t_bool @t366)))) (=> @t230 (tptp.hBOOL (tptp.hAPP_f387058535l_bool @t345 @t366)))))) % 0.45/0.73 (assume @p170 (forall (@list @t94 @t249 @t202 @t368) (=> (tptp.hBOOL (tptp.hAPP_f748921117l_bool @t252 (tptp.pi_Arr447918939le_alt @t202 (tptp.hAPP_f1172974131t_bool tptp.cOMBK_164791446e_indi @t368)))) (=> @t204 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t250 @t368)))))) % 0.45/0.73 (assume @p171 (forall (@list @t97 @t257 @t221 @t368) (=> (tptp.hBOOL (tptp.hAPP_f899216831l_bool @t260 (tptp.pi_boo158890749le_alt @t221 (tptp.hAPP_f1758973969t_bool tptp.cOMBK_1897375160l_bool @t368)))) (=> @t222 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t258 @t368)))))) % 0.45/0.73 (assume @p172 (forall (@list @t94 @t264 @t202 @t369) (=> (tptp.hBOOL (tptp.hAPP_f1753158741l_bool @t267 (tptp.pi_Arr1077238675t_bool @t202 (tptp.hAPP_f466810275l_bool tptp.cOMBK_30438862e_indi @t369)))) (=> @t204 (tptp.hBOOL (tptp.hAPP_f1237345129l_bool @t265 @t369)))))) % 0.45/0.73 (assume @p173 (forall (@list @t97 @t271 @t221 @t369) (=> (tptp.hBOOL (tptp.hAPP_f1481710327l_bool @t274 (tptp.pi_boo2120406325t_bool @t221 (tptp.hAPP_f2013855105l_bool tptp.cOMBK_1481288432l_bool @t369)))) (=> @t222 (tptp.hBOOL (tptp.hAPP_f1237345129l_bool @t272 @t369)))))) % 0.45/0.73 (assume @p174 (forall (@list @t94 @t278 @t202 @t370) (=> (tptp.hBOOL (tptp.hAPP_f598211249l_bool @t281 (tptp.pi_Arr478149871t_bool @t202 (tptp.hAPP_f544895323l_bool tptp.cOMBK_869185066e_indi @t370)))) (=> @t204 (tptp.hBOOL (tptp.hAPP_f1435434693l_bool @t279 @t370)))))) % 0.45/0.73 (assume @p175 (forall (@list @t97 @t285 @t221 @t370) (=> (tptp.hBOOL (tptp.hAPP_f759862099l_bool @t288 (tptp.pi_boo853084305t_bool @t221 (tptp.hAPP_f989466937l_bool tptp.cOMBK_343479628l_bool @t370)))) (=> @t222 (tptp.hBOOL (tptp.hAPP_f1435434693l_bool @t286 @t370)))))) % 0.45/0.73 (assume @p176 (forall (@list @t97 @t292 @t221 @t371) (=> (tptp.hBOOL (tptp.hAPP_f639792199l_bool @t295 (tptp.pi_boo683563155t_bool @t221 (tptp.hAPP_f71505983l_bool tptp.cOMBK_648664568l_bool @t371)))) (=> @t222 (tptp.hBOOL (tptp.hAPP_f180608831l_bool @t293 @t371)))))) % 0.45/0.73 (assume @p177 (forall (@list @t85 @t351 @t225 @t371) (=> (tptp.hBOOL (tptp.hAPP_f1435434693l_bool @t354 (tptp.pi_fun456133649t_bool @t225 (tptp.hAPP_f459175489l_bool tptp.cOMBK_639770490t_bool @t371)))) (=> @t226 (tptp.hBOOL (tptp.hAPP_f180608831l_bool @t352 @t371)))))) % 0.45/0.73 (assume @p178 (forall (@list @t94 @t358 @t202 @t371) (=> (tptp.hBOOL (tptp.hAPP_f1237345129l_bool @t361 (tptp.pi_Arr1358199477t_bool @t202 (tptp.hAPP_f1651042461l_bool tptp.cOMBK_2098615510e_indi @t371)))) (=> @t204 (tptp.hBOOL (tptp.hAPP_f180608831l_bool @t359 @t371)))))) % 0.45/0.73 (assume @p179 (forall (@list @t73 @t236) (= @t237 (forall @t80 (=> @t79 (= @t76 @t238)))))) % 0.45/0.73 (assume @p180 (forall (@list @t223) (= (tptp.pi_Pro811330557t_bool @t223 (tptp.hAPP_f1601816755l_bool tptp.cOMBK_290363320le_alt tptp.top_to1647826457l_bool)) tptp.top_to1057791589l_bool))) % 0.45/0.73 (assume @p181 (forall (@list @t225) (= (tptp.pi_fun456133649t_bool @t225 (tptp.hAPP_f459175489l_bool tptp.cOMBK_639770490t_bool tptp.top_to1057791589l_bool)) tptp.top_to2127553399l_bool))) % 0.45/0.73 (assume @p182 (forall (@list @t202) (= (tptp.pi_Arr1358199477t_bool @t202 (tptp.hAPP_f1651042461l_bool tptp.cOMBK_2098615510e_indi tptp.top_to1057791589l_bool)) tptp.top_to653038619l_bool))) % 0.45/0.73 (assume @p183 (= @t67 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t372 (tptp.hAPP_f718157575t_bool tptp.f (tptp.cOMBC_1257424504t_bool (tptp.cOMBC_64563468t_bool @t55 tptp.lab) tptp.lba)))))) % 0.45/0.73 (assume @p184 (forall @t31 (= (and (=> @t51 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t66 @t53))) (=> @t52 (and (=> @t48 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t66 @t50))) (=> @t49 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t66 @t45)))))) (and (=> @t51 @t374) (=> @t52 @t373))))) % 0.45/0.73 (assume @p185 (not (= tptp.a tptp.b))) % 0.45/0.73 (assume @p186 @t373) % 0.45/0.73 (assume @p187 (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t375 tptp.lab))) % 0.45/0.73 (assume @p188 (not (tptp.hBOOL (tptp.hAPP_f1944886577l_bool @t375 tptp.lba)))) % 0.45/0.73 (assume @p189 (not @t374)) % 0.45/0.73 (assume @p190 (tptp.hBOOL tptp.fTrue)) % 0.45/0.73 (assume @p191 (forall (@list @t376) (or (= @t376 tptp.fTrue) (= @t376 tptp.fFalse)))) % 0.45/0.73 (assume @p192 (forall @t381 (or (not @t380) @t379))) % 0.45/0.73 (assume @p193 (forall @t381 (or (not @t379) @t380))) % 0.45/0.73 (assume @p194 (forall (@list @t376 @t382) (= (tptp.hAPP_A1059798043i_bool (tptp.hAPP_b611520797i_bool tptp.cOMBK_206372180e_indi @t376) @t382) @t376))) % 0.45/0.73 (assume @p195 (forall (@list @t385 @t383 @t384) (= (tptp.hAPP_A1059798043i_bool (tptp.cOMBC_998415407t_bool @t385 @t383) @t384) (tptp.hAPP_nat_bool (tptp.hAPP_A1239621182t_bool @t385 @t384) @t383)))) % 0.45/0.73 (assume @p196 (forall (@list @t387 @t386 @t384) (= (tptp.hAPP_A1239621182t_bool (tptp.cOMBB_1514803447e_indi @t387 @t386) @t384) (tptp.hAPP_n1699378549t_bool @t387 (tptp.hAPP_A1741215436di_nat @t386 @t384))))) % 0.45/0.73 (assume @p197 (forall (@list @t376 @t388) (= (tptp.hAPP_P751176071t_bool (tptp.hAPP_b1848524425t_bool tptp.cOMBK_350462144le_alt @t376) @t388) @t376))) % 0.45/0.73 (assume @p198 (forall @t391 (= (tptp.hAPP_f727188501t_bool (tptp.hAPP_f910728105t_bool (tptp.hAPP_b1702702257t_bool tptp.if_fun95824985t_bool tptp.fTrue) @t389) @t390) @t389))) % 0.45/0.73 (assume @p199 (forall @t391 (= (tptp.hAPP_f727188501t_bool (tptp.hAPP_f910728105t_bool (tptp.hAPP_b1702702257t_bool tptp.if_fun95824985t_bool tptp.fFalse) @t389) @t390) @t390))) % 0.45/0.73 (assume @p200 (forall (@list @t376 @t392) (= (tptp.hAPP_f1944886577l_bool (tptp.hAPP_b1017527359l_bool tptp.cOMBK_1801013008t_bool @t376) @t392) @t376))) % 0.45/0.73 (assume @p201 (forall (@list @t393 @t388) (= (tptp.hAPP_P2005668213l_bool (tptp.hAPP_f1601816755l_bool tptp.cOMBK_290363320le_alt @t393) @t388) @t393))) % 0.45/0.73 (assume @p202 (forall (@list @t394 @t395) (= (tptp.hAPP_b1848524425t_bool (tptp.hAPP_f1758973969t_bool tptp.cOMBK_1897375160l_bool @t394) @t395) @t394))) % 0.45/0.73 (assume @p203 (forall (@list @t393 @t392) (= (tptp.hAPP_f2128533835l_bool (tptp.hAPP_f1230984105l_bool tptp.cOMBK_1838733848t_bool @t393) @t392) @t393))) % 0.45/0.73 (assume @p204 (forall (@list @t396 @t395) (= (tptp.hAPP_b1017527359l_bool (tptp.hAPP_f71505983l_bool tptp.cOMBK_648664568l_bool @t396) @t395) @t396))) % 0.45/0.73 (assume @p205 (forall (@list @t397 @t388) (= (tptp.hAPP_P259956691i_bool (tptp.hAPP_f1561296623i_bool tptp.cOMBK_328807062le_alt @t397) @t388) @t397))) % 0.45/0.73 (assume @p206 (forall (@list @t394 @t382) (= (tptp.hAPP_A2044747691t_bool (tptp.hAPP_f1172974131t_bool tptp.cOMBK_164791446e_indi @t394) @t382) @t394))) % 0.45/0.73 (assume @p207 (forall (@list @t376 @t398) (= (tptp.hAPP_f1095388607l_bool (tptp.hAPP_b1178471617l_bool tptp.cOMBK_70145528t_bool @t376) @t398) @t376))) % 0.45/0.73 (assume @p208 (forall (@list @t397 @t392) (= (tptp.hAPP_f906860201i_bool (tptp.hAPP_f1364159657i_bool tptp.cOMBK_1207925178t_bool @t397) @t392) @t397))) % 0.45/0.73 (assume @p209 (forall (@list @t396 @t382) (= (tptp.hAPP_A1710743709l_bool (tptp.hAPP_f1651042461l_bool tptp.cOMBK_2098615510e_indi @t396) @t382) @t396))) % 0.45/0.73 (assume @p210 (forall (@list @t393 @t398) (= (tptp.hAPP_f1418708797l_bool (tptp.hAPP_f1325493883l_bool tptp.cOMBK_167511280t_bool @t393) @t398) @t393))) % 0.45/0.73 (assume @p211 (forall (@list @t399 @t395) (= (tptp.hAPP_b1178471617l_bool (tptp.hAPP_f2013855105l_bool tptp.cOMBK_1481288432l_bool @t399) @t395) @t399))) % 0.45/0.73 (assume @p212 (forall (@list @t401 @t400 @t384) (= (tptp.hAPP_A2044747691t_bool (tptp.cOMBC_377836265t_bool @t401 @t400) @t384) (tptp.hAPP_A476679046t_bool (tptp.hAPP_A711829680t_bool @t401 @t384) @t400)))) % 0.45/0.73 (assume @p213 (forall (@list @t397 @t398) (= (tptp.hAPP_f1511451035i_bool (tptp.hAPP_f823592631i_bool tptp.cOMBK_269839822t_bool @t397) @t398) @t397))) % 0.45/0.73 (assume @p214 (forall (@list @t399 @t382) (= (tptp.hAPP_A1790795747l_bool (tptp.hAPP_f466810275l_bool tptp.cOMBK_30438862e_indi @t399) @t382) @t399))) % 0.45/0.73 (assume @p215 (forall (@list @t402 @t400 @t384) (= (tptp.hAPP_A711829680t_bool (tptp.cOMBC_1994570734t_bool @t402 @t400) @t384) (tptp.hAPP_A272835723t_bool (tptp.hAPP_A784015157t_bool @t402 @t384) @t400)))) % 0.45/0.73 (assume @p216 (forall (@list @t403 @t392 @t384) (= (tptp.hAPP_A2044747691t_bool (tptp.cOMBC_1257424504t_bool @t403 @t392) @t384) (tptp.hAPP_f727188501t_bool @t404 @t392)))) % 0.45/0.73 (assume @p217 (forall (@list @t403 @t398 @t384) (= (tptp.hAPP_A2044747691t_bool (tptp.cOMBS_1688227464t_bool @t403 @t398) @t384) (tptp.hAPP_f727188501t_bool @t404 @t405)))) % 0.45/0.73 (assume @p218 (forall (@list @t376 @t406) (= (tptp.hAPP_f725100827l_bool (tptp.hAPP_b930206237l_bool tptp.cOMBK_1362474068t_bool @t376) @t406) @t376))) % 0.45/0.73 (assume @p219 (forall (@list @t396 @t398) (= (tptp.hAPP_f1265202753l_bool (tptp.hAPP_f459175489l_bool tptp.cOMBK_639770490t_bool @t396) @t398) @t396))) % 0.45/0.73 (assume @p220 (forall (@list @t393 @t406) (= (tptp.hAPP_f626809057l_bool (tptp.hAPP_f1364914207l_bool tptp.cOMBK_1853791052t_bool @t393) @t406) @t393))) % 0.45/0.73 (assume @p221 (forall (@list @t407 @t395) (= (tptp.hAPP_b930206237l_bool (tptp.hAPP_f989466937l_bool tptp.cOMBK_343479628l_bool @t407) @t395) @t407))) % 0.45/0.73 (assume @p222 (forall (@list @t408 @t398 @t384) (= (tptp.hAPP_A711829680t_bool (tptp.cOMBB_1932856316e_indi @t408 @t398) @t384) (tptp.hAPP_f1699392794t_bool @t408 @t405)))) % 0.45/0.73 (assume @p223 (forall (@list @t397 @t406) (= (tptp.hAPP_f1559864639i_bool (tptp.hAPP_f1224613979i_bool tptp.cOMBK_519762474t_bool @t397) @t406) @t397))) % 0.45/0.73 (assume @p224 (forall (@list @t407 @t382) (= (tptp.hAPP_A107624255l_bool (tptp.hAPP_f544895323l_bool tptp.cOMBK_869185066e_indi @t407) @t382) @t407))) % 0.45/0.73 (assume @p225 (forall (@list @t409 @t398 @t384) (= (tptp.hAPP_A784015157t_bool (tptp.cOMBB_715840641e_indi @t409 @t398) @t384) (tptp.hAPP_f1560118175t_bool @t409 @t405)))) % 0.45/0.73 (assume @p226 (forall (@list @t410 @t392 @t384) (= (tptp.hAPP_A301260095t_bool (tptp.cOMBC_64563468t_bool @t410 @t392) @t384) (tptp.hAPP_f910728105t_bool @t411 @t392)))) % 0.45/0.73 (assume @p227 (forall (@list @t410 @t398 @t384) (= (tptp.hAPP_A301260095t_bool (tptp.cOMBS_1833320732t_bool @t410 @t398) @t384) (tptp.hAPP_f910728105t_bool @t411 @t405)))) % 0.45/0.73 (assume @p228 (forall (@list @t413 @t412 @t384) (= (tptp.hAPP_A1985966547t_bool (tptp.cOMBB_124649523e_indi @t413 @t412) @t384) (tptp.hAPP_b1702702257t_bool @t413 (tptp.hAPP_A1059798043i_bool @t412 @t384))))) % 0.45/0.73 (assume @p229 (not @t59)) % 0.45/0.73 (assume @p230 true) % 0.45/0.73 (step @p231 :rule symm :premises (@p15)) % 0.45/0.73 (step @p232 :rule equiv_elim1 :premises (@p231)) % 0.45/0.73 (step @p233 :rule reordering :premises (@p232) :args ((or @t59 (not @t58)))) % 0.45/0.73 (step @p234 :rule chain_m_resolution :premises (@p233 @p14) :args (@t59 @t414 (@list @t58))) % 0.45/0.73 (step @p235 false :rule chain_m_resolution :premises (@p229 @p234) :args (false @t414 (@list @t59))) % 0.45/0.73 ) % 0.45/0.73 % SZS output end Proof % 0.45/0.73 % cvc5 exiting %------------------------------------------------------------------------------