%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP097^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:25:03 AM UTC 2026 % Result : Theorem 0.43s 0.78s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP097^1 : TPTP v9.2.1. Released v7.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:14:18 EDT 2026 % 0.17/0.34 % CPUTime : % 0.39/0.57 %----Proving TH0 % 0.43/0.78 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.43/0.78 % SZS status Theorem % 0.43/0.78 % SZS output start Proof % 0.43/0.78 ( % 0.43/0.78 (declare-sort tptp.nat 0) % 0.43/0.78 (declare-sort tptp.num 0) % 0.43/0.78 (declare-sort tptp.set_real 0) % 0.43/0.78 (declare-sort tptp.real 0) % 0.43/0.78 (declare-sort tptp.int 0) % 0.43/0.78 (declare-const tptp.numeral_numeral_int (-> tptp.num tptp.int)) % 0.43/0.78 (declare-const tptp.nat2 (-> tptp.int tptp.nat)) % 0.43/0.78 (declare-const tptp.semiri2019852685at_int (-> tptp.nat tptp.int)) % 0.43/0.78 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) % 0.43/0.78 (declare-const tptp.if_nat (-> Bool tptp.nat tptp.nat tptp.nat)) % 0.43/0.78 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 0.43/0.78 (declare-const tptp.zero_zero_nat tptp.nat) % 0.43/0.78 (declare-const tptp.zero_zero_int tptp.int) % 0.43/0.78 (declare-const tptp.power_power_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.43/0.78 (declare-const tptp.semiri1382578993at_nat (-> tptp.nat tptp.nat)) % 0.43/0.78 (declare-const tptp.bit0 (-> tptp.num tptp.num)) % 0.43/0.78 (declare-const tptp.log (-> tptp.real tptp.real tptp.real)) % 0.43/0.78 (declare-const tptp.member_real (-> tptp.real tptp.set_real Bool)) % 0.43/0.78 (declare-const tptp.one_one_nat tptp.nat) % 0.43/0.78 (declare-const tptp.ord_less_eq_real (-> tptp.real tptp.real Bool)) % 0.43/0.78 (declare-const tptp.power_power_real (-> tptp.real tptp.nat tptp.real)) % 0.43/0.78 (declare-const tptp.semiri2110766477t_real (-> tptp.nat tptp.real)) % 0.43/0.78 (declare-const tptp.one tptp.num) % 0.43/0.78 (declare-const tptp.powr_real (-> tptp.real tptp.real tptp.real)) % 0.43/0.78 (declare-const tptp.ring_1_of_int_real (-> tptp.int tptp.real)) % 0.43/0.78 (declare-const tptp.ring_1_of_int_int (-> tptp.int tptp.int)) % 0.43/0.78 (declare-const tptp.archim1371465213g_real (-> tptp.real tptp.int)) % 0.43/0.78 (declare-const tptp.d tptp.int) % 0.43/0.78 (declare-const tptp.n tptp.nat) % 0.43/0.78 (declare-const tptp.one_one_int tptp.int) % 0.43/0.78 (declare-const tptp.numeral_numeral_real (-> tptp.num tptp.real)) % 0.43/0.78 (declare-const tptp.power_power_int (-> tptp.int tptp.nat tptp.int)) % 0.43/0.78 (declare-const tptp.one_one_real tptp.real) % 0.43/0.78 (declare-const tptp.ord_less_eq_num (-> tptp.num tptp.num Bool)) % 0.43/0.78 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.43/0.79 (declare-const tptp.collect_real (-> (-> tptp.real Bool) tptp.set_real)) % 0.43/0.79 (declare-const tptp.neg_numeral_dbl_real (-> tptp.real tptp.real)) % 0.43/0.79 (declare-const tptp.neg_numeral_dbl_int (-> tptp.int tptp.int)) % 0.43/0.79 (declare-const tptp.pow (-> tptp.num tptp.num tptp.num)) % 0.43/0.79 (declare-const tptp.zero_zero_real tptp.real) % 0.43/0.79 (define tptp.numeral_numeral_nat () (let ((_let_1 (@var "I" tptp.num))) (lambda (@list _let_1) (_ tptp.nat2 (_ tptp.numeral_numeral_int _let_1))))) % 0.43/0.79 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "B2" tptp.nat))) (let ((_let_2 (@var "A3" tptp.nat))) (lambda (@list _let_2 _let_1) (_ (_ tptp.ord_less_eq_int (_ tptp.semiri2019852685at_int _let_2)) (_ tptp.semiri2019852685at_int _let_1)))))) % 0.43/0.79 (define @t1 () (@var "A" tptp.int)) % 0.43/0.79 (define @t2 () (@var "N" tptp.nat)) % 0.43/0.79 (define @t3 () (@var "X" tptp.num)) % 0.43/0.79 (define @t4 () (_ (_ tptp.power_power_int (_ tptp.numeral_numeral_int @t3)) @t2)) % 0.43/0.79 (define @t5 () (_ tptp.ord_less_eq_int @t4)) % 0.43/0.79 (define @t6 () (_ @t5 @t1)) % 0.43/0.79 (define @t7 () (_ tptp.ring_1_of_int_int @t1)) % 0.43/0.79 (define @t8 () (@list @t3 @t2 @t1)) % 0.43/0.79 (define @t9 () (_ tptp.ring_1_of_int_real @t1)) % 0.43/0.79 (define @t10 () (_ (_ tptp.power_power_real (_ tptp.numeral_numeral_real @t3)) @t2)) % 0.43/0.79 (define @t11 () (_ tptp.ord_less_eq_int @t1)) % 0.43/0.79 (define @t12 () (_ @t11 @t4)) % 0.43/0.79 (define @t13 () (@list @t1 @t3 @t2)) % 0.43/0.79 (define @t14 () (@var "Y" tptp.int)) % 0.43/0.79 (define @t15 () (= @t4 @t14)) % 0.43/0.79 (define @t16 () (_ tptp.ring_1_of_int_int @t14)) % 0.43/0.79 (define @t17 () (@list @t3 @t2 @t14)) % 0.43/0.79 (define @t18 () (_ tptp.ring_1_of_int_real @t14)) % 0.43/0.79 (define @t19 () (= @t14 @t4)) % 0.43/0.79 (define @t20 () (@list @t14 @t3 @t2)) % 0.43/0.79 (define @t21 () (@var "X" tptp.int)) % 0.43/0.79 (define @t22 () (@var "W" tptp.nat)) % 0.43/0.79 (define @t23 () (@var "B" tptp.int)) % 0.43/0.79 (define @t24 () (_ (_ tptp.power_power_int @t23) @t22)) % 0.43/0.79 (define @t25 () (_ (_ tptp.ord_less_eq_int @t24) @t21)) % 0.43/0.79 (define @t26 () (_ tptp.ring_1_of_int_int @t21)) % 0.43/0.79 (define @t27 () (_ (_ tptp.power_power_int (_ tptp.ring_1_of_int_int @t23)) @t22)) % 0.43/0.79 (define @t28 () (@list @t23 @t22 @t21)) % 0.43/0.79 (define @t29 () (_ tptp.ring_1_of_int_real @t21)) % 0.43/0.79 (define @t30 () (_ (_ tptp.power_power_real (_ tptp.ring_1_of_int_real @t23)) @t22)) % 0.43/0.79 (define @t31 () (_ tptp.ord_less_eq_int @t21)) % 0.43/0.79 (define @t32 () (_ @t31 @t24)) % 0.43/0.79 (define @t33 () (@list @t21 @t23 @t22)) % 0.43/0.79 (define @t34 () (@var "V" tptp.num)) % 0.43/0.79 (define @t35 () (_ tptp.numeral_numeral_real @t34)) % 0.43/0.79 (define @t36 () (@var "X" tptp.real)) % 0.43/0.79 (define @t37 () (_ tptp.ord_less_eq_real @t36)) % 0.43/0.79 (define @t38 () (_ tptp.numeral_numeral_int @t34)) % 0.43/0.79 (define @t39 () (_ tptp.archim1371465213g_real @t36)) % 0.43/0.79 (define @t40 () (_ tptp.ord_less_eq_int @t39)) % 0.43/0.79 (define @t41 () (@var "N" tptp.num)) % 0.43/0.79 (define @t42 () (_ tptp.numeral_numeral_int @t41)) % 0.43/0.79 (define @t43 () (@var "Z" tptp.int)) % 0.43/0.79 (define @t44 () (_ tptp.ord_less_eq_int @t43)) % 0.43/0.79 (define @t45 () (_ @t44 @t42)) % 0.43/0.79 (define @t46 () (_ tptp.ring_1_of_int_int @t43)) % 0.43/0.79 (define @t47 () (_ tptp.ord_less_eq_int @t46)) % 0.43/0.79 (define @t48 () (@list @t43 @t41)) % 0.43/0.79 (define @t49 () (_ tptp.numeral_numeral_real @t41)) % 0.43/0.79 (define @t50 () (_ tptp.ring_1_of_int_real @t43)) % 0.43/0.79 (define @t51 () (_ tptp.ord_less_eq_real @t50)) % 0.43/0.79 (define @t52 () (_ tptp.ord_less_eq_int @t42)) % 0.43/0.79 (define @t53 () (_ @t52 @t43)) % 0.43/0.79 (define @t54 () (@list @t41 @t43)) % 0.43/0.79 (define @t55 () (_ tptp.ord_less_eq_real @t49)) % 0.43/0.79 (define @t56 () (_ (_ tptp.power_power_int @t43) @t2)) % 0.43/0.79 (define @t57 () (@list @t43 @t2)) % 0.43/0.79 (define @t58 () (= @t24 @t21)) % 0.43/0.79 (define @t59 () (@var "W" tptp.int)) % 0.43/0.79 (define @t60 () (= @t59 @t43)) % 0.43/0.79 (define @t61 () (_ tptp.ring_1_of_int_real @t59)) % 0.43/0.79 (define @t62 () (@list @t59 @t43)) % 0.43/0.79 (define @t63 () (_ tptp.ring_1_of_int_int @t59)) % 0.43/0.79 (define @t64 () (@var "K" tptp.num)) % 0.43/0.79 (define @t65 () (_ tptp.numeral_numeral_nat @t64)) % 0.43/0.79 (define @t66 () (_ tptp.numeral_numeral_int @t64)) % 0.43/0.79 (define @t67 () (@list @t64)) % 0.43/0.79 (define @t68 () (@list @t43)) % 0.43/0.79 (define @t69 () (@var "N2" tptp.int)) % 0.43/0.79 (define @t70 () (_ tptp.ring_1_of_int_real @t39)) % 0.43/0.79 (define @t71 () (@list @t36)) % 0.43/0.79 (define @t72 () (_ (_ tptp.ord_less_eq_int @t59) @t43)) % 0.43/0.79 (define @t73 () (_ (_ tptp.ord_less_eq_real @t61) @t50)) % 0.43/0.79 (define @t74 () (forall @t62 (= @t73 @t72))) % 0.43/0.79 (define @t75 () (_ tptp.numeral_numeral_real @t64)) % 0.43/0.79 (define @t76 () (= @t43 @t42)) % 0.43/0.79 (define @t77 () (= @t21 @t24)) % 0.43/0.79 (define @t78 () (_ tptp.nat2 @t14)) % 0.43/0.79 (define @t79 () (_ (_ tptp.power_power_nat (_ tptp.numeral_numeral_nat @t3)) @t2)) % 0.43/0.79 (define @t80 () (_ tptp.nat2 @t1)) % 0.43/0.79 (define @t81 () (_ tptp.ord_less_eq_nat (_ tptp.nat2 @t21))) % 0.43/0.79 (define @t82 () (@list @t21 @t14)) % 0.43/0.79 (define @t83 () (@var "Z2" tptp.int)) % 0.43/0.79 (define @t84 () (@var "Y" tptp.real)) % 0.43/0.79 (define @t85 () (_ tptp.ring_1_of_int_real tptp.d)) % 0.43/0.79 (define @t86 () (_ tptp.bit0 tptp.one)) % 0.43/0.79 (define @t87 () (_ tptp.numeral_numeral_real @t86)) % 0.43/0.79 (define @t88 () (_ tptp.log @t87)) % 0.43/0.79 (define @t89 () (_ @t88 @t85)) % 0.43/0.79 (define @t90 () (@var "M" tptp.num)) % 0.43/0.79 (define @t91 () (_ tptp.bit0 @t90)) % 0.43/0.79 (define @t92 () (_ tptp.ord_less_eq_num @t91)) % 0.43/0.79 (define @t93 () (@list @t90)) % 0.43/0.79 (define @t94 () (_ tptp.bit0 @t41)) % 0.43/0.79 (define @t95 () (@list @t41)) % 0.43/0.79 (define @t96 () (_ (_ tptp.ord_less_eq_num @t90) @t41)) % 0.43/0.79 (define @t97 () (_ tptp.numeral_numeral_int @t90)) % 0.43/0.79 (define @t98 () (@list @t90 @t41)) % 0.43/0.79 (define @t99 () (_ tptp.numeral_numeral_nat @t41)) % 0.43/0.79 (define @t100 () (_ tptp.numeral_numeral_nat @t90)) % 0.43/0.79 (define @t101 () (_ tptp.numeral_numeral_real @t90)) % 0.43/0.79 (define @t102 () (_ tptp.powr_real @t87)) % 0.43/0.79 (define @t103 () (_ @t102 @t89)) % 0.43/0.79 (define @t104 () (= @t85 @t103)) % 0.43/0.79 (define @t105 () (_ tptp.archim1371465213g_real @t89)) % 0.43/0.79 (define @t106 () (_ tptp.nat2 @t105)) % 0.43/0.79 (define @t107 () (= @t90 @t41)) % 0.43/0.79 (define @t108 () (@var "Y2" tptp.num)) % 0.43/0.79 (define @t109 () (@var "X2" tptp.num)) % 0.43/0.79 (define @t110 () (_ tptp.bit0 @t109)) % 0.43/0.79 (define @t111 () (= @t43 tptp.one_one_int)) % 0.43/0.79 (define @t112 () (@var "A" tptp.real)) % 0.43/0.79 (define @t113 () (@var "P" (-> tptp.real Bool))) % 0.43/0.79 (define @t114 () (@var "A2" tptp.set_real)) % 0.43/0.79 (define @t115 () (@var "X3" tptp.real)) % 0.43/0.79 (define @t116 () (= @t41 tptp.one)) % 0.43/0.79 (define @t117 () (= tptp.one @t41)) % 0.43/0.79 (define @t118 () (_ tptp.ord_less_eq_int tptp.one_one_int)) % 0.43/0.79 (define @t119 () (_ @t118 @t43)) % 0.43/0.79 (define @t120 () (_ tptp.ord_less_eq_real tptp.one_one_real)) % 0.43/0.79 (define @t121 () (_ @t44 tptp.one_one_int)) % 0.43/0.79 (define @t122 () (_ (_ tptp.ord_less_eq_num @t41) tptp.one)) % 0.43/0.79 (define @t123 () (_ tptp.ord_less_eq_nat @t99)) % 0.43/0.79 (define @t124 () (@var "Z3" tptp.real)) % 0.43/0.79 (define @t125 () (@var "Y3" tptp.real)) % 0.43/0.79 (define @t126 () (@var "X5" tptp.real)) % 0.43/0.79 (define @t127 () (@var "S" tptp.set_real)) % 0.43/0.79 (define @t128 () (forall (@list @t126) (=> (_ (_ tptp.member_real @t126) @t127) (_ (_ tptp.ord_less_eq_real @t126) @t124)))) % 0.43/0.79 (define @t129 () (@list @t124)) % 0.43/0.79 (define @t130 () (@var "X4" tptp.real)) % 0.43/0.79 (define @t131 () (_ (_ tptp.member_real @t130) @t127)) % 0.43/0.79 (define @t132 () (@list @t130)) % 0.43/0.79 (define @t133 () (_ tptp.ord_less_eq_nat tptp.one_one_nat)) % 0.43/0.79 (define @t134 () (@var "A" tptp.nat)) % 0.43/0.79 (define @t135 () (@var "B" tptp.nat)) % 0.43/0.79 (define @t136 () (_ tptp.ord_less_eq_nat @t134)) % 0.43/0.79 (define @t137 () (@var "B" tptp.real)) % 0.43/0.79 (define @t138 () (_ (_ tptp.ord_less_eq_real @t112) @t137)) % 0.43/0.79 (define @t139 () (@var "A" tptp.num)) % 0.43/0.79 (define @t140 () (@var "B" tptp.num)) % 0.43/0.79 (define @t141 () (_ tptp.ord_less_eq_num @t3)) % 0.43/0.79 (define @t142 () (@list @t3)) % 0.43/0.79 (define @t143 () (@list @t2)) % 0.43/0.79 (define @t144 () (_ tptp.numeral_numeral_int @t86)) % 0.43/0.79 (define @t145 () (_ (_ tptp.power_power_int @t144) @t106)) % 0.43/0.79 (define @t146 () (_ tptp.ring_1_of_int_real @t145)) % 0.43/0.79 (define @t147 () (_ tptp.semiri2110766477t_real @t106)) % 0.43/0.79 (define @t148 () (_ @t102 @t147)) % 0.43/0.79 (define @t149 () (= @t148 @t146)) % 0.43/0.79 (define @t150 () (_ (_ tptp.ord_less_eq_real @t103) @t148)) % 0.43/0.79 (define @t151 () (@list @t112)) % 0.43/0.79 (define @t152 () (@var "M" tptp.nat)) % 0.43/0.79 (define @t153 () (@var "K" tptp.nat)) % 0.43/0.79 (define @t154 () (_ tptp.ord_less_eq_nat @t152)) % 0.43/0.79 (define @t155 () (_ tptp.numeral_numeral_nat @t86)) % 0.43/0.79 (define @t156 () (_ @t154 @t2)) % 0.43/0.79 (define @t157 () (_ tptp.power_power_nat @t152)) % 0.43/0.79 (define @t158 () (_ tptp.ord_less_eq_nat (_ @t157 @t155))) % 0.43/0.79 (define @t159 () (@list @t152 @t2)) % 0.43/0.79 (define @t160 () (_ tptp.ord_less_eq_nat @t2)) % 0.43/0.79 (define @t161 () (_ @t160 @t152)) % 0.43/0.79 (define @t162 () (_ tptp.suc @t152)) % 0.43/0.79 (define @t163 () (_ tptp.suc @t2)) % 0.43/0.79 (define @t164 () (_ tptp.ord_less_eq_nat @t163)) % 0.43/0.79 (define @t165 () (@list @t2 @t152)) % 0.43/0.79 (define @t166 () (_ tptp.power_power_int @t1)) % 0.43/0.79 (define @t167 () (@list @t1)) % 0.43/0.79 (define @t168 () (_ tptp.power_power_nat @t134)) % 0.43/0.79 (define @t169 () (@list @t134)) % 0.43/0.79 (define @t170 () (_ tptp.power_power_real @t112)) % 0.43/0.79 (define @t171 () (@var "Y2" tptp.nat)) % 0.43/0.79 (define @t172 () (@var "X2" tptp.nat)) % 0.43/0.79 (define @t173 () (_ tptp.suc @t172)) % 0.43/0.79 (define @t174 () (@var "Nat2" tptp.nat)) % 0.43/0.79 (define @t175 () (@var "Nat" tptp.nat)) % 0.43/0.79 (define @t176 () (_ tptp.suc @t174)) % 0.43/0.79 (define @t177 () (= @t152 @t2)) % 0.43/0.79 (define @t178 () (_ tptp.semiri2110766477t_real @t2)) % 0.43/0.79 (define @t179 () (_ tptp.semiri2110766477t_real @t152)) % 0.43/0.79 (define @t180 () (_ tptp.semiri2019852685at_int @t2)) % 0.43/0.79 (define @t181 () (_ tptp.semiri2019852685at_int @t152)) % 0.43/0.79 (define @t182 () (_ tptp.power_power_int tptp.one_one_int)) % 0.43/0.79 (define @t183 () (_ tptp.power_power_nat tptp.one_one_nat)) % 0.43/0.79 (define @t184 () (_ tptp.power_power_real tptp.one_one_real)) % 0.43/0.79 (define @t185 () (= @t2 tptp.one_one_nat)) % 0.43/0.79 (define @t186 () (_ tptp.semiri1382578993at_nat @t2)) % 0.43/0.79 (define @t187 () (_ tptp.ord_less_eq_int @t181)) % 0.43/0.79 (define @t188 () (_ tptp.semiri1382578993at_nat @t152)) % 0.43/0.79 (define @t189 () (_ tptp.ord_less_eq_nat @t188)) % 0.43/0.79 (define @t190 () (_ tptp.ord_less_eq_real @t179)) % 0.43/0.79 (define @t191 () (_ (_ tptp.power_power_nat @t135) @t22)) % 0.43/0.79 (define @t192 () (@var "X" tptp.nat)) % 0.43/0.79 (define @t193 () (= @t192 @t191)) % 0.43/0.79 (define @t194 () (_ (_ tptp.power_power_nat (_ tptp.semiri1382578993at_nat @t135)) @t22)) % 0.43/0.79 (define @t195 () (_ tptp.semiri1382578993at_nat @t192)) % 0.43/0.79 (define @t196 () (@list @t192 @t135 @t22)) % 0.43/0.79 (define @t197 () (_ (_ tptp.power_power_real (_ tptp.semiri2110766477t_real @t135)) @t22)) % 0.43/0.79 (define @t198 () (_ tptp.semiri2110766477t_real @t192)) % 0.43/0.79 (define @t199 () (_ tptp.semiri2019852685at_int @t135)) % 0.43/0.79 (define @t200 () (_ (_ tptp.power_power_int @t199) @t22)) % 0.43/0.79 (define @t201 () (_ tptp.semiri2019852685at_int @t192)) % 0.43/0.79 (define @t202 () (= @t191 @t192)) % 0.43/0.79 (define @t203 () (@list @t135 @t22 @t192)) % 0.43/0.79 (define @t204 () (_ @t157 @t2)) % 0.43/0.79 (define @t205 () (_ tptp.ord_less_eq_nat @t192)) % 0.43/0.79 (define @t206 () (_ @t205 @t191)) % 0.43/0.79 (define @t207 () (_ tptp.ord_less_eq_int @t201)) % 0.43/0.79 (define @t208 () (_ tptp.ord_less_eq_nat @t195)) % 0.43/0.79 (define @t209 () (_ tptp.ord_less_eq_real @t198)) % 0.43/0.79 (define @t210 () (_ (_ tptp.ord_less_eq_nat @t191) @t192)) % 0.43/0.79 (define @t211 () (@var "Y" tptp.nat)) % 0.43/0.79 (define @t212 () (= @t211 @t79)) % 0.43/0.79 (define @t213 () (_ tptp.semiri1382578993at_nat @t211)) % 0.43/0.79 (define @t214 () (@list @t211 @t3 @t2)) % 0.43/0.79 (define @t215 () (_ tptp.semiri2110766477t_real @t211)) % 0.43/0.79 (define @t216 () (_ tptp.semiri2019852685at_int @t211)) % 0.43/0.79 (define @t217 () (= @t79 @t211)) % 0.43/0.79 (define @t218 () (@list @t3 @t2 @t211)) % 0.43/0.79 (define @t219 () (_ tptp.nat2 @t39)) % 0.43/0.79 (define @t220 () (@var "I2" tptp.num)) % 0.43/0.79 (define @t221 () (_ (_ tptp.power_power_nat (_ tptp.numeral_numeral_nat @t220)) @t2)) % 0.43/0.79 (define @t222 () (_ @t205 @t221)) % 0.43/0.79 (define @t223 () (_ (_ tptp.power_power_int (_ tptp.numeral_numeral_int @t220)) @t2)) % 0.43/0.79 (define @t224 () (@list @t192 @t220 @t2)) % 0.43/0.79 (define @t225 () (_ (_ tptp.power_power_real (_ tptp.numeral_numeral_real @t220)) @t2)) % 0.43/0.79 (define @t226 () (_ tptp.ord_less_eq_nat @t221)) % 0.43/0.79 (define @t227 () (_ @t226 @t192)) % 0.43/0.79 (define @t228 () (@list @t220 @t2 @t192)) % 0.43/0.79 (define @t229 () (_ tptp.nat2 tptp.one_one_int)) % 0.43/0.79 (define @t230 () (@var "N3" tptp.nat)) % 0.43/0.79 (define @t231 () (@list @t230)) % 0.43/0.79 (define @t232 () (@var "J" tptp.nat)) % 0.43/0.79 (define @t233 () (@var "I2" tptp.nat)) % 0.43/0.79 (define @t234 () (_ tptp.ord_less_eq_nat @t233)) % 0.43/0.79 (define @t235 () (_ @t234 @t232)) % 0.43/0.79 (define @t236 () (@list @t233 @t232)) % 0.43/0.79 (define @t237 () (@var "R" tptp.real)) % 0.43/0.79 (define @t238 () (= @t192 @t211)) % 0.43/0.79 (define @t239 () (@list @t192 @t211)) % 0.43/0.79 (define @t240 () (@var "X5" tptp.nat)) % 0.43/0.79 (define @t241 () (@var "Y4" tptp.nat)) % 0.43/0.79 (define @t242 () (@var "P" (-> tptp.nat Bool))) % 0.43/0.79 (define @t243 () (@list @t240)) % 0.43/0.79 (define @t244 () (@var "Y3" tptp.nat)) % 0.43/0.79 (define @t245 () (@list @t244)) % 0.43/0.79 (define @t246 () (_ @t242 @t153)) % 0.43/0.79 (define @t247 () (_ tptp.powr_real @t36)) % 0.43/0.79 (define @t248 () (_ @t247 @t137)) % 0.43/0.79 (define @t249 () (_ @t247 @t112)) % 0.43/0.79 (define @t250 () (_ @t88 @t179)) % 0.43/0.79 (define @t251 () (_ (_ tptp.power_power_nat @t155) @t2)) % 0.43/0.79 (define @t252 () (@var "R2" (-> tptp.nat tptp.nat Bool))) % 0.43/0.79 (define @t253 () (_ tptp.suc @t230)) % 0.43/0.79 (define @t254 () (@var "Z2" tptp.nat)) % 0.43/0.79 (define @t255 () (_ @t252 @t240)) % 0.43/0.79 (define @t256 () (_ @t242 @t2)) % 0.43/0.79 (define @t257 () (_ @t242 @t253)) % 0.43/0.79 (define @t258 () (_ @t242 @t230)) % 0.43/0.79 (define @t259 () (=> @t258 @t257)) % 0.43/0.79 (define @t260 () (@var "M2" tptp.nat)) % 0.43/0.79 (define @t261 () (@list @t242 @t2)) % 0.43/0.79 (define @t262 () (not @t156)) % 0.43/0.79 (define @t263 () (= @t152 @t163)) % 0.43/0.79 (define @t264 () (_ @t154 @t163)) % 0.43/0.79 (define @t265 () (@var "M4" tptp.nat)) % 0.43/0.79 (define @t266 () (_ tptp.suc @t265)) % 0.43/0.79 (define @t267 () (@var "M3" tptp.nat)) % 0.43/0.79 (define @t268 () (@list @t265)) % 0.43/0.79 (define @t269 () (_ @t166 @t2)) % 0.43/0.79 (define @t270 () (_ @t118 @t1)) % 0.43/0.79 (define @t271 () (@list @t1 @t2)) % 0.43/0.79 (define @t272 () (_ @t168 @t2)) % 0.43/0.79 (define @t273 () (_ @t133 @t134)) % 0.43/0.79 (define @t274 () (@list @t134 @t2)) % 0.43/0.79 (define @t275 () (_ @t170 @t2)) % 0.43/0.79 (define @t276 () (_ @t120 @t112)) % 0.43/0.79 (define @t277 () (@list @t112 @t2)) % 0.43/0.79 (define @t278 () (@var "F" (-> tptp.nat tptp.int))) % 0.43/0.79 (define @t279 () (_ @t278 @t2)) % 0.43/0.79 (define @t280 () (@var "N4" tptp.nat)) % 0.43/0.79 (define @t281 () (_ @t278 @t280)) % 0.43/0.79 (define @t282 () (_ @t160 @t280)) % 0.43/0.79 (define @t283 () (_ @t278 @t230)) % 0.43/0.79 (define @t284 () (_ @t278 @t253)) % 0.43/0.79 (define @t285 () (@list @t278 @t2 @t280)) % 0.43/0.79 (define @t286 () (@var "F" (-> tptp.nat tptp.nat))) % 0.43/0.79 (define @t287 () (_ @t286 @t2)) % 0.43/0.79 (define @t288 () (_ @t286 @t280)) % 0.43/0.79 (define @t289 () (_ @t286 @t230)) % 0.43/0.79 (define @t290 () (_ @t286 @t253)) % 0.43/0.79 (define @t291 () (@list @t286 @t2 @t280)) % 0.43/0.79 (define @t292 () (@var "F" (-> tptp.nat tptp.real))) % 0.43/0.79 (define @t293 () (_ @t292 @t2)) % 0.43/0.79 (define @t294 () (_ @t292 @t280)) % 0.43/0.79 (define @t295 () (_ @t292 @t230)) % 0.43/0.79 (define @t296 () (_ @t292 @t253)) % 0.43/0.79 (define @t297 () (@list @t292 @t2 @t280)) % 0.43/0.79 (define @t298 () (@var "F" (-> tptp.nat tptp.num))) % 0.43/0.79 (define @t299 () (_ @t298 @t2)) % 0.43/0.79 (define @t300 () (_ @t298 @t280)) % 0.43/0.79 (define @t301 () (_ @t298 @t230)) % 0.43/0.79 (define @t302 () (_ @t298 @t253)) % 0.43/0.79 (define @t303 () (@list @t298 @t2 @t280)) % 0.43/0.79 (define @t304 () (_ tptp.ord_less_eq_real @t249)) % 0.43/0.79 (define @t305 () (@var "N5" tptp.nat)) % 0.43/0.79 (define @t306 () (_ @t160 @t305)) % 0.43/0.79 (define @t307 () (@var "L" tptp.num)) % 0.43/0.79 (define @t308 () (_ (_ tptp.pow @t64) @t307)) % 0.43/0.79 (define @t309 () (_ tptp.numeral_numeral_nat @t307)) % 0.43/0.79 (define @t310 () (@list @t64 @t307)) % 0.43/0.79 (define @t311 () (@list @t21)) % 0.43/0.79 (define @t312 () (@list @t192)) % 0.43/0.79 (define @t313 () (_ tptp.power_power_real @t36)) % 0.43/0.79 (define @t314 () (_ tptp.ord_less_eq_real tptp.zero_zero_real)) % 0.43/0.79 (define @t315 () (_ @t314 @t36)) % 0.43/0.79 (define @t316 () (_ tptp.ord_less_eq_int tptp.zero_zero_int)) % 0.43/0.79 (define @t317 () (_ tptp.power_power_nat @t192)) % 0.43/0.79 (define @t318 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 0.43/0.79 (define @t319 () (_ @t318 @t192)) % 0.43/0.79 (define @t320 () (@list @t36 @t84)) % 0.43/0.79 (define @t321 () (= @t2 tptp.zero_zero_nat)) % 0.43/0.79 (define @t322 () (= tptp.zero_zero_nat @t2)) % 0.43/0.79 (define @t323 () (= @t152 tptp.zero_zero_nat)) % 0.43/0.79 (define @t324 () (@list @t152)) % 0.43/0.79 (define @t325 () (_ tptp.suc tptp.zero_zero_nat)) % 0.43/0.79 (define @t326 () (= @t43 tptp.zero_zero_int)) % 0.43/0.79 (define @t327 () (@var "W" tptp.real)) % 0.43/0.79 (define @t328 () (@var "Z" tptp.real)) % 0.43/0.79 (define @t329 () (_ tptp.nat2 @t43)) % 0.43/0.79 (define @t330 () (_ @t44 tptp.zero_zero_int)) % 0.43/0.79 (define @t331 () (@var "I2" tptp.int)) % 0.43/0.79 (define @t332 () (_ tptp.power_power_int tptp.zero_zero_int)) % 0.43/0.79 (define @t333 () (_ tptp.power_power_nat tptp.zero_zero_nat)) % 0.43/0.79 (define @t334 () (_ tptp.power_power_real tptp.zero_zero_real)) % 0.43/0.79 (define @t335 () (_ @t247 tptp.zero_zero_real)) % 0.43/0.79 (define @t336 () (= @t36 tptp.zero_zero_real)) % 0.43/0.79 (define @t337 () (= @t112 tptp.zero_zero_real)) % 0.43/0.79 (define @t338 () (_ tptp.semiri2019852685at_int @t329)) % 0.43/0.79 (define @t339 () (_ @t316 @t43)) % 0.43/0.79 (define @t340 () (=> @t339 (= @t338 @t43))) % 0.43/0.79 (define @t341 () (_ tptp.bit0 @t64)) % 0.43/0.79 (define @t342 () (= (_ @t247 tptp.one_one_real) @t36)) % 0.43/0.79 (define @t343 () (= @t1 tptp.zero_zero_int)) % 0.43/0.79 (define @t344 () (_ @t166 @t155)) % 0.43/0.79 (define @t345 () (= @t134 tptp.zero_zero_nat)) % 0.43/0.79 (define @t346 () (_ @t170 @t155)) % 0.43/0.79 (define @t347 () (@var "P" Bool)) % 0.43/0.79 (define @t348 () (_ tptp.semiri2019852685at_int (_ (_ (_ tptp.if_nat @t347) @t134) @t135))) % 0.43/0.79 (define @t349 () (@var "B2" tptp.nat)) % 0.43/0.79 (define @t350 () (_ tptp.semiri2019852685at_int @t349)) % 0.43/0.79 (define @t351 () (@var "A3" tptp.nat)) % 0.43/0.79 (define @t352 () (_ tptp.semiri2019852685at_int @t351)) % 0.43/0.79 (define @t353 () (@list @t351 @t349)) % 0.43/0.79 (define @t354 () (@var "Z4" tptp.nat)) % 0.43/0.79 (define @t355 () (@var "Y5" tptp.nat)) % 0.43/0.79 (define @t356 () (@var "K" tptp.int)) % 0.43/0.79 (define @t357 () (= @t356 (_ tptp.semiri2019852685at_int @t230))) % 0.43/0.79 (define @t358 () (_ @t316 @t356)) % 0.43/0.79 (define @t359 () (@list @t356)) % 0.43/0.79 (define @t360 () (_ @t316 @t59)) % 0.43/0.79 (define @t361 () (and (=> @t360 (= @t59 @t181)) (=> (not @t360) @t323))) % 0.43/0.79 (define @t362 () (_ tptp.nat2 @t59)) % 0.43/0.79 (define @t363 () (_ @t332 @t2)) % 0.43/0.79 (define @t364 () (not @t321)) % 0.43/0.79 (define @t365 () (_ @t333 @t2)) % 0.43/0.79 (define @t366 () (_ @t334 @t2)) % 0.43/0.79 (define @t367 () (@var "X_1" tptp.nat)) % 0.43/0.79 (define @t368 () (_ @t242 tptp.zero_zero_nat)) % 0.43/0.79 (define @t369 () (@list @t174)) % 0.43/0.79 (define @t370 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 0.43/0.79 (define @t371 () (_ tptp.suc @t244)) % 0.43/0.79 (define @t372 () (_ @t370 @t240)) % 0.43/0.79 (define @t373 () (@var "Nat3" tptp.nat)) % 0.43/0.79 (define @t374 () (_ tptp.suc @t373)) % 0.43/0.79 (define @t375 () (@list @t373)) % 0.43/0.79 (define @t376 () (_ @t136 tptp.zero_zero_nat)) % 0.43/0.79 (define @t377 () (@var "X3" tptp.int)) % 0.43/0.79 (define @t378 () (@var "P3" (-> tptp.nat Bool))) % 0.43/0.79 (define @t379 () (_ @t378 (_ tptp.nat2 @t377))) % 0.43/0.79 (define @t380 () (_ @t316 @t377)) % 0.43/0.79 (define @t381 () (@list @t377)) % 0.43/0.79 (define @t382 () (@list @t378)) % 0.43/0.79 (define @t383 () (@var "X6" tptp.nat)) % 0.43/0.79 (define @t384 () (@var "P2" (-> tptp.nat Bool))) % 0.43/0.79 (define @t385 () (_ @t384 @t383)) % 0.43/0.79 (define @t386 () (@list @t383)) % 0.43/0.79 (define @t387 () (@list @t384)) % 0.43/0.79 (define @t388 () (@var "Z5" tptp.int)) % 0.43/0.79 (define @t389 () (_ tptp.ord_less_eq_int tptp.d)) % 0.43/0.79 (define @t390 () (_ @t389 @t145)) % 0.43/0.79 (define @t391 () (not @t390)) % 0.43/0.79 (define @t392 () (@var "I" tptp.num)) % 0.43/0.79 (define @t393 () (lambda (@list @t392) (_ tptp.nat2 (_ tptp.numeral_numeral_int @t392)))) % 0.43/0.79 (define @t394 () (lambda @t353 (_ (_ tptp.ord_less_eq_int @t352) @t350))) % 0.43/0.79 (define @t395 () (tptp.ring_1_of_int_real @t43)) % 0.43/0.79 (define @t396 () (tptp.ring_1_of_int_real @t59)) % 0.43/0.79 (define @t397 () (tptp.ord_less_eq_real @t396 @t395)) % 0.43/0.79 (define @t398 () (tptp.ord_less_eq_int @t59 @t43)) % 0.43/0.79 (define @t399 () (= @t72 @t73)) % 0.43/0.79 (define @t400 () (tptp.ring_1_of_int_real tptp.d)) % 0.43/0.79 (define @t401 () (tptp.bit0 tptp.one)) % 0.43/0.79 (define @t402 () (tptp.numeral_numeral_real @t401)) % 0.43/0.79 (define @t403 () (tptp.log @t402 @t400)) % 0.43/0.79 (define @t404 () (tptp.archim1371465213g_real @t403)) % 0.43/0.79 (define @t405 () (tptp.nat2 @t404)) % 0.43/0.79 (define @t406 () (tptp.semiri2110766477t_real @t405)) % 0.43/0.79 (define @t407 () (tptp.powr_real @t402 @t406)) % 0.43/0.79 (define @t408 () (tptp.powr_real @t402 @t403)) % 0.43/0.79 (define @t409 () (tptp.ord_less_eq_real @t408 @t407)) % 0.43/0.79 (define @t410 () (_ tptp.powr_real @t402)) % 0.43/0.79 (define @t411 () (tptp.numeral_numeral_int @t401)) % 0.43/0.79 (define @t412 () (tptp.power_power_int @t411 @t405)) % 0.43/0.79 (define @t413 () (tptp.ring_1_of_int_real @t412)) % 0.43/0.79 (define @t414 () (tptp.ord_less_eq_real @t400 @t413)) % 0.43/0.79 (define @t415 () (tptp.ord_less_eq_int tptp.d @t412)) % 0.43/0.79 (define @t416 () (= @t415 @t414)) % 0.43/0.79 (define @t417 () (not @t416)) % 0.43/0.79 (define @t418 () (@list true false)) % 0.43/0.79 (define @t419 () (forall @t62 (= @t398 @t397))) % 0.43/0.79 (assume @p1 (forall @t8 (= (_ @t5 @t7) @t6))) % 0.43/0.79 (assume @p2 (forall @t8 (= (_ (_ tptp.ord_less_eq_real @t10) @t9) @t6))) % 0.43/0.79 (assume @p3 (forall @t13 (= (_ (_ tptp.ord_less_eq_int @t7) @t4) @t12))) % 0.43/0.79 (assume @p4 (forall @t13 (= (_ (_ tptp.ord_less_eq_real @t9) @t10) @t12))) % 0.43/0.79 (assume @p5 (forall (@list @t3 @t2) (= (_ tptp.archim1371465213g_real @t10) @t4))) % 0.43/0.79 (assume @p6 (forall @t17 (= (= @t4 @t16) @t15))) % 0.43/0.79 (assume @p7 (forall @t17 (= (= @t10 @t18) @t15))) % 0.43/0.79 (assume @p8 (forall @t20 (= (= @t16 @t4) @t19))) % 0.43/0.79 (assume @p9 (forall @t20 (= (= @t18 @t10) @t19))) % 0.43/0.79 (assume @p10 (forall @t28 (= (_ (_ tptp.ord_less_eq_int @t27) @t26) @t25))) % 0.43/0.79 (assume @p11 (forall @t28 (= (_ (_ tptp.ord_less_eq_real @t30) @t29) @t25))) % 0.43/0.79 (assume @p12 (forall @t33 (= (_ (_ tptp.ord_less_eq_int @t26) @t27) @t32))) % 0.43/0.79 (assume @p13 (forall @t33 (= (_ (_ tptp.ord_less_eq_real @t29) @t30) @t32))) % 0.43/0.79 (assume @p14 (forall (@list @t36 @t34) (= (_ @t40 @t38) (_ @t37 @t35)))) % 0.43/0.79 (assume @p15 (forall @t48 (= (_ @t47 @t42) @t45))) % 0.43/0.79 (assume @p16 (forall @t48 (= (_ @t51 @t49) @t45))) % 0.43/0.79 (assume @p17 (forall @t54 (= (_ @t52 @t46) @t53))) % 0.43/0.79 (assume @p18 (forall @t54 (= (_ @t55 @t50) @t53))) % 0.43/0.79 (assume @p19 (forall @t57 (= (_ tptp.ring_1_of_int_int @t56) (_ (_ tptp.power_power_int @t46) @t2)))) % 0.43/0.79 (assume @p20 (forall @t57 (= (_ tptp.ring_1_of_int_real @t56) (_ (_ tptp.power_power_real @t50) @t2)))) % 0.43/0.79 (assume @p21 (forall @t28 (= (= @t27 @t26) @t58))) % 0.43/0.79 (assume @p22 (forall @t28 (= (= @t30 @t29) @t58))) % 0.43/0.79 (assume @p23 (forall @t62 (= (= @t61 @t50) @t60))) % 0.43/0.79 (assume @p24 (forall @t62 (= (= @t63 @t46) @t60))) % 0.43/0.79 (assume @p25 (forall @t67 (= (_ tptp.nat2 @t66) @t65))) % 0.43/0.79 (assume @p26 (forall @t68 (= (_ tptp.archim1371465213g_real @t50) @t43))) % 0.43/0.79 (assume @p27 (forall @t71 (= (= @t70 @t36) (exists (@list @t69) (= @t36 (_ tptp.ring_1_of_int_real @t69)))))) % 0.43/0.79 (assume @p28 (forall @t62 (= (_ (_ tptp.ord_less_eq_int @t63) @t46) @t72))) % 0.43/0.79 (assume @p29 @t74) % 0.43/0.79 (assume @p30 (forall @t67 (= (_ tptp.ring_1_of_int_int @t66) @t66))) % 0.43/0.79 (assume @p31 (forall @t67 (= (_ tptp.ring_1_of_int_real @t66) @t75))) % 0.43/0.79 (assume @p32 (forall @t48 (= (= @t46 @t42) @t76))) % 0.43/0.79 (assume @p33 (forall @t48 (= (= @t50 @t49) @t76))) % 0.43/0.79 (assume @p34 (forall (@list @t34) (= (_ tptp.archim1371465213g_real @t35) @t38))) % 0.43/0.79 (assume @p35 (forall @t33 (= (= @t26 @t27) @t77))) % 0.43/0.79 (assume @p36 (forall @t33 (= (= @t29 @t30) @t77))) % 0.43/0.79 (assume @p37 (forall @t17 (= (= @t79 @t78) @t15))) % 0.43/0.79 (assume @p38 (forall @t20 (= (= @t78 @t79) @t19))) % 0.43/0.79 (assume @p39 (forall @t8 (= (_ (_ tptp.ord_less_eq_nat @t79) @t80) @t6))) % 0.43/0.79 (assume @p40 (forall @t13 (= (_ (_ tptp.ord_less_eq_nat @t80) @t79) @t12))) % 0.43/0.79 (assume @p41 (forall @t82 (=> (_ @t31 @t14) (_ @t81 @t78)))) % 0.43/0.79 (assume @p42 (forall @t71 (exists (@list @t83) (_ @t37 (_ tptp.ring_1_of_int_real @t83))))) % 0.43/0.79 (assume @p43 (forall @t71 (_ @t37 @t70))) % 0.43/0.79 (assume @p44 (forall (@list @t84 @t36) (=> (_ (_ tptp.ord_less_eq_real @t84) @t36) (_ (_ tptp.ord_less_eq_int (_ tptp.archim1371465213g_real @t84)) @t39)))) % 0.43/0.79 (assume @p45 (forall (@list @t36 @t43) (= (_ @t40 @t43) (_ @t37 @t50)))) % 0.43/0.79 (assume @p46 (forall (@list @t36 @t1) (=> (_ @t37 @t9) (_ @t40 @t1)))) % 0.43/0.79 (assume @p47 (_ (_ tptp.ord_less_eq_real (_ @t88 tptp.one_one_real)) @t89)) % 0.43/0.79 (assume @p48 (forall @t93 (not (_ @t92 tptp.one)))) % 0.43/0.79 (assume @p49 (forall @t95 (not (= tptp.one @t94)))) % 0.43/0.79 (assume @p50 (forall @t93 (not (= @t91 tptp.one)))) % 0.43/0.79 (assume @p51 (forall @t98 (= (_ (_ tptp.ord_less_eq_int @t97) @t42) @t96))) % 0.43/0.79 (assume @p52 (forall @t98 (= (_ (_ tptp.ord_less_eq_nat @t100) @t99) @t96))) % 0.43/0.79 (assume @p53 (forall @t98 (= (_ (_ tptp.ord_less_eq_real @t101) @t49) @t96))) % 0.43/0.79 (assume @p54 @t104) % 0.43/0.79 (assume @p55 (= tptp.n (_ tptp.suc @t106))) % 0.43/0.79 (assume @p56 (forall @t95 (_ (_ tptp.ord_less_eq_num tptp.one) @t41))) % 0.43/0.79 (assume @p57 (forall @t98 (= (_ @t92 @t94) @t96))) % 0.43/0.79 (assume @p58 (forall @t98 (= (= @t91 @t94) @t107))) % 0.43/0.79 (assume @p59 (forall (@list @t109 @t108) (= (= @t110 (_ tptp.bit0 @t108)) (= @t109 @t108)))) % 0.43/0.79 (assume @p60 (forall @t98 (= (= @t97 @t42) @t107))) % 0.43/0.79 (assume @p61 (forall @t98 (= (= @t101 @t49) @t107))) % 0.43/0.79 (assume @p62 (forall @t98 (= (= @t100 @t99) @t107))) % 0.43/0.79 (assume @p63 (forall @t68 (= (= @t50 tptp.one_one_real) @t111))) % 0.43/0.79 (assume @p64 (forall @t68 (= (= @t46 tptp.one_one_int) @t111))) % 0.43/0.79 (assume @p65 (forall (@list @t112 @t113) (= (_ (_ tptp.member_real @t112) (_ tptp.collect_real @t113)) (_ @t113 @t112)))) % 0.43/0.79 (assume @p66 (forall (@list @t114) (= (_ tptp.collect_real (lambda (@list @t115) (_ (_ tptp.member_real @t115) @t114))) @t114))) % 0.43/0.79 (assume @p67 (= (_ tptp.ring_1_of_int_real tptp.one_one_int) tptp.one_one_real)) % 0.43/0.79 (assume @p68 (= (_ tptp.ring_1_of_int_int tptp.one_one_int) tptp.one_one_int)) % 0.43/0.79 (assume @p69 (= (_ tptp.archim1371465213g_real tptp.one_one_real) tptp.one_one_int)) % 0.43/0.79 (assume @p70 (forall @t95 (= (= @t42 tptp.one_one_int) @t116))) % 0.43/0.79 (assume @p71 (forall @t95 (= (= @t49 tptp.one_one_real) @t116))) % 0.43/0.79 (assume @p72 (forall @t95 (= (= @t99 tptp.one_one_nat) @t116))) % 0.43/0.79 (assume @p73 (forall @t95 (= (= tptp.one_one_int @t42) @t117))) % 0.43/0.79 (assume @p74 (forall @t95 (= (= tptp.one_one_real @t49) @t117))) % 0.43/0.79 (assume @p75 (forall @t95 (= (= tptp.one_one_nat @t99) @t117))) % 0.43/0.79 (assume @p76 (forall @t68 (= (_ @t118 @t46) @t119))) % 0.43/0.79 (assume @p77 (forall @t68 (= (_ @t120 @t50) @t119))) % 0.43/0.79 (assume @p78 (forall @t68 (= (_ @t47 tptp.one_one_int) @t121))) % 0.43/0.79 (assume @p79 (forall @t68 (= (_ @t51 tptp.one_one_real) @t121))) % 0.43/0.79 (assume @p80 (forall @t71 (= (_ @t40 tptp.one_one_int) (_ @t37 tptp.one_one_real)))) % 0.43/0.79 (assume @p81 (forall @t95 (= (_ @t52 tptp.one_one_int) @t122))) % 0.43/0.79 (assume @p82 (forall @t95 (= (_ @t123 tptp.one_one_nat) @t122))) % 0.43/0.79 (assume @p83 (forall @t95 (= (_ @t55 tptp.one_one_real) @t122))) % 0.43/0.79 (assume @p84 (forall (@list @t127) (=> (exists @t132 @t131) (=> (exists @t129 @t128) (exists (@list @t125) (and (forall @t132 (=> @t131 (_ (_ tptp.ord_less_eq_real @t130) @t125))) (forall @t129 (=> @t128 (_ (_ tptp.ord_less_eq_real @t125) @t124))))))))) % 0.43/0.79 (assume @p85 (_ @t118 tptp.one_one_int)) % 0.43/0.79 (assume @p86 (_ @t133 tptp.one_one_nat)) % 0.43/0.79 (assume @p87 (_ @t120 tptp.one_one_real)) % 0.43/0.79 (assume @p88 (forall @t95 (_ @t118 @t42))) % 0.43/0.79 (assume @p89 (forall @t95 (_ @t133 @t99))) % 0.43/0.79 (assume @p90 (forall @t95 (_ @t120 @t49))) % 0.43/0.79 (assume @p91 (= (_ tptp.numeral_numeral_int tptp.one) tptp.one_one_int)) % 0.43/0.79 (assume @p92 (= (_ tptp.numeral_numeral_real tptp.one) tptp.one_one_real)) % 0.43/0.79 (assume @p93 (= (_ tptp.numeral_numeral_nat tptp.one) tptp.one_one_nat)) % 0.43/0.79 (assume @p94 (forall (@list @t1 @t23) (or (= @t1 @t23) (not (_ @t11 @t23)) (not (_ (_ tptp.ord_less_eq_int @t23) @t1))))) % 0.43/0.79 (assume @p95 (forall (@list @t134 @t135) (or (= @t134 @t135) (not (_ @t136 @t135)) (not (_ (_ tptp.ord_less_eq_nat @t135) @t134))))) % 0.43/0.79 (assume @p96 (forall (@list @t112 @t137) (or (= @t112 @t137) (not @t138) (not (_ (_ tptp.ord_less_eq_real @t137) @t112))))) % 0.43/0.79 (assume @p97 (forall (@list @t139 @t140) (or (= @t139 @t140) (not (_ (_ tptp.ord_less_eq_num @t139) @t140)) (not (_ (_ tptp.ord_less_eq_num @t140) @t139))))) % 0.43/0.79 (assume @p98 (forall @t142 (= (_ @t141 tptp.one) (= @t3 tptp.one)))) % 0.43/0.79 (assume @p99 (forall @t143 (_ @t120 (_ (_ tptp.power_power_real @t87) @t2)))) % 0.43/0.79 (assume @p100 (forall (@list @t1 @t21) (or (_ @t11 @t21) (= @t1 @t21) (_ @t31 @t1)))) % 0.43/0.79 (assume @p101 (forall (@list @t109) (not (= tptp.one @t110)))) % 0.43/0.79 (assume @p102 @t149) % 0.43/0.79 (assume @p103 @t150) % 0.43/0.79 (assume @p104 (forall @t98 (= (_ (_ tptp.powr_real @t101) @t49) (_ (_ tptp.power_power_real @t101) @t99)))) % 0.43/0.79 (assume @p105 (forall @t151 (= (_ (_ tptp.powr_real tptp.one_one_real) @t112) tptp.one_one_real))) % 0.43/0.79 (assume @p106 (forall (@list @t153 @t152) (=> (_ (_ tptp.ord_less_eq_nat @t155) @t153) (_ @t154 (_ (_ tptp.power_power_nat @t153) @t152))))) % 0.43/0.79 (assume @p107 (forall @t159 (= (_ @t158 (_ (_ tptp.power_power_nat @t2) @t155)) @t156))) % 0.43/0.79 (assume @p108 (forall @t159 (=> (_ @t158 @t2) @t156))) % 0.43/0.79 (assume @p109 (forall @t165 (= (_ @t164 @t162) @t161))) % 0.43/0.79 (assume @p110 (forall @t167 (= (_ @t166 tptp.one_one_nat) @t1))) % 0.43/0.79 (assume @p111 (forall @t169 (= (_ @t168 tptp.one_one_nat) @t134))) % 0.43/0.79 (assume @p112 (forall @t151 (= (_ @t170 tptp.one_one_nat) @t112))) % 0.43/0.79 (assume @p113 (forall (@list @t172 @t171) (= (= @t173 (_ tptp.suc @t171)) (= @t172 @t171)))) % 0.43/0.79 (assume @p114 (forall (@list @t175 @t174) (= (= (_ tptp.suc @t175) @t176) (= @t175 @t174)))) % 0.43/0.79 (assume @p115 (forall @t159 (= (= @t179 @t178) @t177))) % 0.43/0.79 (assume @p116 (forall @t159 (= (= @t181 @t180) @t177))) % 0.43/0.79 (assume @p117 (forall @t143 (= (_ @t182 @t2) tptp.one_one_int))) % 0.43/0.79 (assume @p118 (forall @t143 (= (_ @t183 @t2) tptp.one_one_nat))) % 0.43/0.79 (assume @p119 (forall @t143 (= (_ @t184 @t2) tptp.one_one_real))) % 0.43/0.79 (assume @p120 (forall @t143 (= (= @t186 tptp.one_one_nat) @t185))) % 0.43/0.79 (assume @p121 (forall @t143 (= (= @t178 tptp.one_one_real) @t185))) % 0.43/0.79 (assume @p122 (forall @t143 (= (= @t180 tptp.one_one_int) @t185))) % 0.43/0.79 (assume @p123 (forall @t143 (= (= tptp.one_one_nat @t186) @t185))) % 0.43/0.79 (assume @p124 (forall @t143 (= (= tptp.one_one_real @t178) @t185))) % 0.43/0.79 (assume @p125 (forall @t143 (= (= tptp.one_one_int @t180) @t185))) % 0.43/0.79 (assume @p126 (= (_ tptp.semiri1382578993at_nat tptp.one_one_nat) tptp.one_one_nat)) % 0.43/0.79 (assume @p127 (= (_ tptp.semiri2110766477t_real tptp.one_one_nat) tptp.one_one_real)) % 0.43/0.79 (assume @p128 (= (_ tptp.semiri2019852685at_int tptp.one_one_nat) tptp.one_one_int)) % 0.43/0.79 (assume @p129 (forall @t143 (= (_ tptp.ring_1_of_int_real @t180) @t178))) % 0.43/0.79 (assume @p130 (forall @t143 (= (_ tptp.ring_1_of_int_int @t180) @t180))) % 0.43/0.79 (assume @p131 (forall @t143 (= (_ tptp.archim1371465213g_real @t178) @t180))) % 0.43/0.79 (assume @p132 (forall @t159 (= (_ @t187 @t180) @t156))) % 0.43/0.79 (assume @p133 (forall @t159 (= (_ @t189 @t186) @t156))) % 0.43/0.79 (assume @p134 (forall @t159 (= (_ @t190 @t178) @t156))) % 0.43/0.79 (assume @p135 (forall @t95 (= (_ tptp.semiri1382578993at_nat @t99) @t99))) % 0.43/0.79 (assume @p136 (forall @t95 (= (_ tptp.semiri2110766477t_real @t99) @t49))) % 0.43/0.79 (assume @p137 (forall @t95 (= (_ tptp.semiri2019852685at_int @t99) @t42))) % 0.43/0.79 (assume @p138 (forall @t196 (= (= @t195 @t194) @t193))) % 0.43/0.79 (assume @p139 (forall @t196 (= (= @t198 @t197) @t193))) % 0.43/0.79 (assume @p140 (forall @t196 (= (= @t201 @t200) @t193))) % 0.43/0.79 (assume @p141 (forall @t203 (= (= @t194 @t195) @t202))) % 0.43/0.79 (assume @p142 (forall @t203 (= (= @t197 @t198) @t202))) % 0.43/0.79 (assume @p143 (forall @t203 (= (= @t200 @t201) @t202))) % 0.43/0.79 (assume @p144 (forall @t159 (= (_ tptp.semiri1382578993at_nat @t204) (_ (_ tptp.power_power_nat @t188) @t2)))) % 0.43/0.79 (assume @p145 (forall @t159 (= (_ tptp.semiri2110766477t_real @t204) (_ (_ tptp.power_power_real @t179) @t2)))) % 0.43/0.79 (assume @p146 (forall @t159 (= (_ tptp.semiri2019852685at_int @t204) (_ (_ tptp.power_power_int @t181) @t2)))) % 0.43/0.79 (assume @p147 (= (_ tptp.suc tptp.one_one_nat) @t155)) % 0.43/0.79 (assume @p148 (forall @t196 (= (_ @t207 @t200) @t206))) % 0.43/0.79 (assume @p149 (forall @t196 (= (_ @t208 @t194) @t206))) % 0.43/0.79 (assume @p150 (forall @t196 (= (_ @t209 @t197) @t206))) % 0.43/0.79 (assume @p151 (forall @t203 (= (_ (_ tptp.ord_less_eq_int @t200) @t201) @t210))) % 0.43/0.79 (assume @p152 (forall @t203 (= (_ (_ tptp.ord_less_eq_nat @t194) @t195) @t210))) % 0.43/0.79 (assume @p153 (forall @t203 (= (_ (_ tptp.ord_less_eq_real @t197) @t198) @t210))) % 0.43/0.79 (assume @p154 (forall @t214 (= (= @t213 @t79) @t212))) % 0.43/0.79 (assume @p155 (forall @t214 (= (= @t215 @t10) @t212))) % 0.43/0.79 (assume @p156 (forall @t214 (= (= @t216 @t4) @t212))) % 0.43/0.79 (assume @p157 (forall @t218 (= (= @t79 @t213) @t217))) % 0.43/0.79 (assume @p158 (forall @t218 (= (= @t10 @t215) @t217))) % 0.43/0.79 (assume @p159 (forall @t218 (= (= @t4 @t216) @t217))) % 0.43/0.79 (assume @p160 (forall (@list @t41 @t152) (= (_ @t55 @t179) (_ @t123 @t152)))) % 0.43/0.79 (assume @p161 (forall (@list @t36 @t134) (= (_ (_ tptp.ord_less_eq_nat @t219) @t134) (_ @t37 (_ tptp.semiri2110766477t_real @t134))))) % 0.43/0.79 (assume @p162 (forall @t224 (= (_ @t207 @t223) @t222))) % 0.43/0.79 (assume @p163 (forall @t224 (= (_ @t208 @t221) @t222))) % 0.43/0.79 (assume @p164 (forall @t224 (= (_ @t209 @t225) @t222))) % 0.43/0.79 (assume @p165 (forall @t228 (= (_ (_ tptp.ord_less_eq_int @t223) @t201) @t227))) % 0.43/0.79 (assume @p166 (forall @t228 (= (_ @t226 @t195) @t227))) % 0.43/0.79 (assume @p167 (forall @t228 (= (_ (_ tptp.ord_less_eq_real @t225) @t198) @t227))) % 0.43/0.79 (assume @p168 (= tptp.one_one_nat @t229)) % 0.43/0.79 (assume @p169 (forall @t71 (exists @t231 (_ @t37 (_ tptp.semiri2110766477t_real @t230))))) % 0.43/0.79 (assume @p170 (forall @t236 (=> @t235 (_ (_ tptp.ord_less_eq_int (_ tptp.semiri2019852685at_int @t233)) (_ tptp.semiri2019852685at_int @t232))))) % 0.43/0.79 (assume @p171 (forall @t236 (=> @t235 (_ (_ tptp.ord_less_eq_nat (_ tptp.semiri1382578993at_nat @t233)) (_ tptp.semiri1382578993at_nat @t232))))) % 0.43/0.79 (assume @p172 (forall @t236 (=> @t235 (_ (_ tptp.ord_less_eq_real (_ tptp.semiri2110766477t_real @t233)) (_ tptp.semiri2110766477t_real @t232))))) % 0.43/0.79 (assume @p173 (forall (@list @t237) (_ (_ tptp.ord_less_eq_real @t237) (_ tptp.semiri2110766477t_real (_ tptp.nat2 (_ tptp.archim1371465213g_real @t237)))))) % 0.43/0.79 (assume @p174 (forall @t239 (=> (= (_ tptp.suc @t192) (_ tptp.suc @t211)) @t238))) % 0.43/0.79 (assume @p175 (forall @t143 (not (= @t2 @t163)))) % 0.43/0.79 (assume @p176 (forall (@list @t242 @t153 @t135) (=> @t246 (=> (forall @t245 (=> (_ @t242 @t244) (_ (_ tptp.ord_less_eq_nat @t244) @t135))) (exists @t243 (and (_ @t242 @t240) (forall (@list @t241) (=> (_ @t242 @t241) (_ (_ tptp.ord_less_eq_nat @t241) @t240))))))))) % 0.43/0.79 (assume @p177 (forall @t159 (or @t156 @t161))) % 0.43/0.79 (assume @p178 (forall @t159 (=> @t156 (=> @t161 @t177)))) % 0.43/0.79 (assume @p179 (forall @t159 (=> @t177 @t156))) % 0.43/0.79 (assume @p180 (forall (@list @t233 @t232 @t153) (=> @t235 (=> (_ (_ tptp.ord_less_eq_nat @t232) @t153) (_ @t234 @t153))))) % 0.43/0.79 (assume @p181 (forall @t143 (_ @t160 @t2))) % 0.43/0.79 (assume @p182 (forall @t71 (_ @t37 (_ tptp.semiri2110766477t_real @t219)))) % 0.43/0.79 (assume @p183 (forall (@list @t36 @t112 @t137) (= (_ (_ tptp.powr_real @t249) @t137) (_ (_ tptp.powr_real @t248) @t112)))) % 0.43/0.79 (assume @p184 (forall @t159 (=> (= @t152 @t251) (= @t178 @t250)))) % 0.43/0.79 (assume @p185 (forall @t165 (=> (_ (_ tptp.ord_less_eq_nat @t251) @t152) (_ (_ tptp.ord_less_eq_real @t178) @t250)))) % 0.43/0.79 (assume @p186 (forall (@list @t152 @t2 @t252) (=> @t156 (=> (forall @t243 (_ @t255 @t240)) (=> (forall (@list @t240 @t244 @t254) (=> (_ @t255 @t244) (=> (_ (_ @t252 @t244) @t254) (_ @t255 @t254)))) (=> (forall @t231 (_ (_ @t252 @t230) @t253)) (_ (_ @t252 @t152) @t2))))))) % 0.43/0.79 (assume @p187 (forall (@list @t152 @t2 @t242) (=> @t156 (=> (_ @t242 @t152) (=> (forall @t231 (=> (_ @t154 @t230) @t259)) @t256))))) % 0.43/0.79 (assume @p188 (forall @t261 (=> (forall @t231 (=> (forall (@list @t260) (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t260)) @t230) (_ @t242 @t260))) @t258)) @t256))) % 0.43/0.79 (assume @p189 (forall @t159 (= @t262 (_ @t164 @t152)))) % 0.43/0.79 (assume @p190 (forall @t143 (not (_ @t164 @t2)))) % 0.43/0.79 (assume @p191 (forall @t159 (= @t264 (or @t156 @t263)))) % 0.43/0.79 (assume @p192 (forall (@list @t2 @t267) (=> (_ @t164 @t267) (exists @t268 (= @t267 @t266))))) % 0.43/0.79 (assume @p193 (forall @t159 (=> @t156 @t264))) % 0.43/0.79 (assume @p194 (forall @t159 (=> @t264 (=> @t262 @t263)))) % 0.43/0.79 (assume @p195 (forall @t159 (=> (_ (_ tptp.ord_less_eq_nat @t162) @t2) @t156))) % 0.43/0.79 (assume @p196 (forall @t271 (=> @t270 (_ @t118 @t269)))) % 0.43/0.79 (assume @p197 (forall @t274 (=> @t273 (_ @t133 @t272)))) % 0.43/0.79 (assume @p198 (forall @t277 (=> @t276 (_ @t120 @t275)))) % 0.43/0.79 (assume @p199 (forall @t285 (=> (forall @t231 (_ (_ tptp.ord_less_eq_int @t284) @t283)) (=> @t282 (_ (_ tptp.ord_less_eq_int @t281) @t279))))) % 0.43/0.79 (assume @p200 (forall @t291 (=> (forall @t231 (_ (_ tptp.ord_less_eq_nat @t290) @t289)) (=> @t282 (_ (_ tptp.ord_less_eq_nat @t288) @t287))))) % 0.43/0.79 (assume @p201 (forall @t297 (=> (forall @t231 (_ (_ tptp.ord_less_eq_real @t296) @t295)) (=> @t282 (_ (_ tptp.ord_less_eq_real @t294) @t293))))) % 0.43/0.79 (assume @p202 (forall @t303 (=> (forall @t231 (_ (_ tptp.ord_less_eq_num @t302) @t301)) (=> @t282 (_ (_ tptp.ord_less_eq_num @t300) @t299))))) % 0.43/0.79 (assume @p203 (forall @t285 (=> (forall @t231 (_ (_ tptp.ord_less_eq_int @t283) @t284)) (=> @t282 (_ (_ tptp.ord_less_eq_int @t279) @t281))))) % 0.43/0.79 (assume @p204 (forall @t291 (=> (forall @t231 (_ (_ tptp.ord_less_eq_nat @t289) @t290)) (=> @t282 (_ (_ tptp.ord_less_eq_nat @t287) @t288))))) % 0.43/0.79 (assume @p205 (forall @t297 (=> (forall @t231 (_ (_ tptp.ord_less_eq_real @t295) @t296)) (=> @t282 (_ (_ tptp.ord_less_eq_real @t293) @t294))))) % 0.43/0.79 (assume @p206 (forall @t303 (=> (forall @t231 (_ (_ tptp.ord_less_eq_num @t301) @t302)) (=> @t282 (_ (_ tptp.ord_less_eq_num @t299) @t300))))) % 0.43/0.79 (assume @p207 (forall (@list @t112 @t137 @t36) (=> @t138 (=> (_ @t120 @t36) (_ @t304 @t248))))) % 0.43/0.79 (assume @p208 (forall (@list @t2 @t305 @t1) (=> @t306 (=> @t270 (_ (_ tptp.ord_less_eq_int @t269) (_ @t166 @t305)))))) % 0.43/0.79 (assume @p209 (forall (@list @t2 @t305 @t134) (=> @t306 (=> @t273 (_ (_ tptp.ord_less_eq_nat @t272) (_ @t168 @t305)))))) % 0.43/0.79 (assume @p210 (forall (@list @t2 @t305 @t112) (=> @t306 (=> @t276 (_ (_ tptp.ord_less_eq_real @t275) (_ @t170 @t305)))))) % 0.43/0.79 (assume @p211 (= (_ @t182 @t155) tptp.one_one_int)) % 0.43/0.79 (assume @p212 (= (_ @t183 @t155) tptp.one_one_nat)) % 0.43/0.79 (assume @p213 (= (_ @t184 @t155) tptp.one_one_real)) % 0.43/0.79 (assume @p214 (= (_ tptp.neg_numeral_dbl_int tptp.one_one_int) @t144)) % 0.43/0.79 (assume @p215 (= (_ tptp.neg_numeral_dbl_real tptp.one_one_real) @t87)) % 0.43/0.79 (assume @p216 (forall @t310 (= (_ (_ tptp.power_power_int @t66) @t309) (_ tptp.numeral_numeral_int @t308)))) % 0.43/0.79 (assume @p217 (forall @t310 (= (_ (_ tptp.power_power_real @t75) @t309) (_ tptp.numeral_numeral_real @t308)))) % 0.43/0.79 (assume @p218 (forall @t310 (= (_ (_ tptp.power_power_nat @t65) @t309) (_ tptp.numeral_numeral_nat @t308)))) % 0.43/0.79 (assume @p219 (forall @t311 (_ @t31 @t21))) % 0.43/0.79 (assume @p220 (forall @t312 (_ @t205 @t192))) % 0.43/0.79 (assume @p221 (forall @t71 (_ @t37 @t36))) % 0.43/0.79 (assume @p222 (forall @t142 (_ @t141 @t3))) % 0.43/0.79 (assume @p223 (forall (@list @t36 @t41) (=> @t315 (= (_ @t247 @t49) (_ @t313 @t99))))) % 0.43/0.79 (assume @p224 (forall @t82 (=> (_ @t316 @t21) (=> (_ @t316 @t14) (= (= (_ (_ tptp.power_power_int @t21) @t155) (_ (_ tptp.power_power_int @t14) @t155)) (= @t21 @t14)))))) % 0.43/0.79 (assume @p225 (forall @t239 (=> @t319 (=> (_ @t318 @t211) (= (= (_ @t317 @t155) (_ (_ tptp.power_power_nat @t211) @t155)) @t238))))) % 0.43/0.79 (assume @p226 (forall @t320 (=> @t315 (=> (_ @t314 @t84) (= (= (_ @t313 @t155) (_ (_ tptp.power_power_real @t84) @t155)) (= @t36 @t84)))))) % 0.43/0.79 (assume @p227 (forall @t143 (_ @t318 @t2))) % 0.43/0.79 (assume @p228 (forall @t169 (_ @t318 @t134))) % 0.43/0.79 (assume @p229 (_ (_ tptp.ord_less_int tptp.zero_zero_int) tptp.d)) % 0.43/0.79 (assume @p230 (forall @t143 (= (_ @t160 tptp.zero_zero_nat) @t321))) % 0.43/0.79 (assume @p231 (= (_ tptp.semiri1382578993at_nat tptp.zero_zero_nat) tptp.zero_zero_nat)) % 0.43/0.79 (assume @p232 (= (_ tptp.semiri2110766477t_real tptp.zero_zero_nat) tptp.zero_zero_real)) % 0.43/0.79 (assume @p233 (= (_ tptp.semiri2019852685at_int tptp.zero_zero_nat) tptp.zero_zero_int)) % 0.43/0.79 (assume @p234 (forall @t143 (= (= tptp.zero_zero_nat @t186) @t322))) % 0.43/0.79 (assume @p235 (forall @t143 (= (= tptp.zero_zero_real @t178) @t322))) % 0.43/0.79 (assume @p236 (forall @t143 (= (= tptp.zero_zero_int @t180) @t322))) % 0.43/0.79 (assume @p237 (forall @t324 (= (= @t188 tptp.zero_zero_nat) @t323))) % 0.43/0.79 (assume @p238 (forall @t324 (= (= @t179 tptp.zero_zero_real) @t323))) % 0.43/0.79 (assume @p239 (forall @t324 (= (= @t181 tptp.zero_zero_int) @t323))) % 0.43/0.79 (assume @p240 (forall @t167 (= (_ @t166 @t325) @t1))) % 0.43/0.79 (assume @p241 (forall @t169 (= (_ @t168 @t325) @t134))) % 0.43/0.79 (assume @p242 (forall @t151 (= (_ @t170 @t325) @t112))) % 0.43/0.79 (assume @p243 (= (_ tptp.ring_1_of_int_real tptp.zero_zero_int) tptp.zero_zero_real)) % 0.43/0.79 (assume @p244 (= (_ tptp.ring_1_of_int_int tptp.zero_zero_int) tptp.zero_zero_int)) % 0.43/0.79 (assume @p245 (forall @t68 (= (= tptp.zero_zero_real @t50) @t326))) % 0.43/0.79 (assume @p246 (forall @t68 (= (= tptp.zero_zero_int @t46) @t326))) % 0.43/0.79 (assume @p247 (forall @t68 (= (= @t50 tptp.zero_zero_real) @t326))) % 0.43/0.79 (assume @p248 (forall @t68 (= (= @t46 tptp.zero_zero_int) @t326))) % 0.43/0.79 (assume @p249 (forall (@list @t327 @t328) (= (= (_ (_ tptp.powr_real @t327) @t328) tptp.zero_zero_real) (= @t327 tptp.zero_zero_real)))) % 0.43/0.79 (assume @p250 (forall (@list @t328) (= (_ (_ tptp.powr_real tptp.zero_zero_real) @t328) tptp.zero_zero_real))) % 0.43/0.79 (assume @p251 (= (_ tptp.archim1371465213g_real tptp.zero_zero_real) tptp.zero_zero_int)) % 0.43/0.79 (assume @p252 (forall @t68 (=> @t330 (= @t329 tptp.zero_zero_nat)))) % 0.43/0.79 (assume @p253 (forall (@list @t331) (= (= (_ tptp.nat2 @t331) tptp.zero_zero_nat) (_ (_ tptp.ord_less_eq_int @t331) tptp.zero_zero_int)))) % 0.43/0.79 (assume @p254 (forall @t143 (= (_ (_ tptp.power_power_nat @t325) @t2) @t325))) % 0.43/0.79 (assume @p255 (forall (@list @t192 @t152) (= (= (_ @t317 @t152) @t325) (or @t323 (= @t192 @t325))))) % 0.43/0.79 (assume @p256 (forall @t143 (= (_ tptp.nat2 @t180) @t2))) % 0.43/0.79 (assume @p257 (= (_ tptp.neg_numeral_dbl_real tptp.zero_zero_real) tptp.zero_zero_real)) % 0.43/0.79 (assume @p258 (= (_ tptp.neg_numeral_dbl_int tptp.zero_zero_int) tptp.zero_zero_int)) % 0.43/0.79 (assume @p259 (forall @t324 (= (_ @t187 tptp.zero_zero_int) @t323))) % 0.43/0.79 (assume @p260 (forall @t324 (= (_ @t189 tptp.zero_zero_nat) @t323))) % 0.43/0.79 (assume @p261 (forall @t324 (= (_ @t190 tptp.zero_zero_real) @t323))) % 0.43/0.79 (assume @p262 (forall @t143 (= (_ @t332 @t163) tptp.zero_zero_int))) % 0.43/0.79 (assume @p263 (forall @t143 (= (_ @t333 @t163) tptp.zero_zero_nat))) % 0.43/0.79 (assume @p264 (forall @t143 (= (_ @t334 @t163) tptp.zero_zero_real))) % 0.43/0.79 (assume @p265 (forall @t67 (= (_ @t332 @t65) tptp.zero_zero_int))) % 0.43/0.79 (assume @p266 (forall @t67 (= (_ @t333 @t65) tptp.zero_zero_nat))) % 0.43/0.79 (assume @p267 (forall @t67 (= (_ @t334 @t65) tptp.zero_zero_real))) % 0.43/0.79 (assume @p268 (forall @t71 (and (=> @t336 (= @t335 tptp.zero_zero_real)) (=> (not @t336) (= @t335 tptp.one_one_real))))) % 0.43/0.79 (assume @p269 (forall (@list @t112 @t36) (= (_ (_ tptp.ord_less_eq_real (_ (_ tptp.powr_real @t112) @t36)) tptp.zero_zero_real) @t337))) % 0.43/0.79 (assume @p270 (= @t229 @t325)) % 0.43/0.79 (assume @p271 (forall (@list @t152 @t34) (= (= @t181 @t38) (= @t152 (_ tptp.numeral_numeral_nat @t34))))) % 0.43/0.79 (assume @p272 (forall @t151 (= (_ (_ tptp.log @t112) tptp.one_one_real) tptp.zero_zero_real))) % 0.43/0.79 (assume @p273 (forall @t68 (and @t340 (=> (not @t339) (= @t338 tptp.zero_zero_int))))) % 0.43/0.79 (assume @p274 (forall @t67 (= (_ tptp.neg_numeral_dbl_int @t66) (_ tptp.numeral_numeral_int @t341)))) % 0.43/0.79 (assume @p275 (forall @t67 (= (_ tptp.neg_numeral_dbl_real @t75) (_ tptp.numeral_numeral_real @t341)))) % 0.43/0.79 (assume @p276 (forall @t68 (= (_ @t316 @t46) @t339))) % 0.43/0.79 (assume @p277 (forall @t68 (= (_ @t314 @t50) @t339))) % 0.43/0.79 (assume @p278 (forall @t68 (= (_ @t47 tptp.zero_zero_int) @t330))) % 0.43/0.79 (assume @p279 (forall @t68 (= (_ @t51 tptp.zero_zero_real) @t330))) % 0.43/0.79 (assume @p280 (forall @t71 (= (_ @t40 tptp.zero_zero_int) (_ @t37 tptp.zero_zero_real)))) % 0.43/0.79 (assume @p281 (forall @t71 (=> @t315 @t342))) % 0.43/0.79 (assume @p282 (forall @t71 (= @t342 @t315))) % 0.43/0.79 (assume @p283 (forall @t68 (=> @t339 (= (_ tptp.semiri2110766477t_real @t329) @t50)))) % 0.43/0.79 (assume @p284 (forall @t68 (=> @t339 (= @t338 @t46)))) % 0.43/0.79 (assume @p285 (forall @t167 (= (= @t344 tptp.zero_zero_int) @t343))) % 0.43/0.79 (assume @p286 (forall @t169 (= (= (_ @t168 @t155) tptp.zero_zero_nat) @t345))) % 0.43/0.79 (assume @p287 (forall @t151 (= (= @t346 tptp.zero_zero_real) @t337))) % 0.43/0.79 (assume @p288 (forall @t167 (= (_ (_ tptp.ord_less_eq_int @t344) tptp.zero_zero_int) @t343))) % 0.43/0.79 (assume @p289 (forall @t151 (= (_ (_ tptp.ord_less_eq_real @t346) tptp.zero_zero_real) @t337))) % 0.43/0.79 (assume @p290 (forall (@list @t347 @t134 @t135) (and (=> @t347 (= @t348 (_ tptp.semiri2019852685at_int @t134))) (=> (not @t347) (= @t348 @t199))))) % 0.43/0.79 (assume @p291 (= (lambda (@list @t355 @t354) (= @t355 @t354)) (lambda @t353 (= @t352 @t350)))) % 0.43/0.79 (assume @p292 (forall @t359 (=> @t358 (exists @t231 @t357)))) % 0.43/0.79 (assume @p293 (forall @t359 (=> @t358 (not (forall @t231 (not @t357)))))) % 0.43/0.79 (assume @p294 (forall (@list @t152 @t59) (= (= @t152 @t362) @t361))) % 0.43/0.79 (assume @p295 (forall (@list @t59 @t152) (= (= @t362 @t152) @t361))) % 0.43/0.79 (assume @p296 (forall @t71 (= (= tptp.zero_zero_real @t36) @t336))) % 0.43/0.79 (assume @p297 (forall @t312 (= (= tptp.zero_zero_nat @t192) (= @t192 tptp.zero_zero_nat)))) % 0.43/0.79 (assume @p298 (forall @t311 (= (= tptp.zero_zero_int @t21) (= @t21 tptp.zero_zero_int)))) % 0.43/0.79 (assume @p299 (forall @t312 @t319)) % 0.43/0.79 (assume @p300 (= tptp.zero_zero_nat (_ tptp.nat2 tptp.zero_zero_int))) % 0.43/0.79 (assume @p301 (forall @t143 (and (=> @t321 (= @t363 tptp.one_one_int)) (=> @t364 (= @t363 tptp.zero_zero_int))))) % 0.43/0.79 (assume @p302 (forall @t143 (and (=> @t321 (= @t365 tptp.one_one_nat)) (=> @t364 (= @t365 tptp.zero_zero_nat))))) % 0.43/0.79 (assume @p303 (forall @t143 (and (=> @t321 (= @t366 tptp.one_one_real)) (=> @t364 (= @t366 tptp.zero_zero_real))))) % 0.43/0.79 (assume @p304 (forall @t68 @t340)) % 0.43/0.79 (assume @p305 (forall (@list @t152 @t43) (= (= @t181 @t43) (and (= @t152 @t329) @t339)))) % 0.43/0.79 (assume @p306 (_ @t316 tptp.zero_zero_int)) % 0.43/0.79 (assume @p307 (_ @t318 tptp.zero_zero_nat)) % 0.43/0.79 (assume @p308 (_ @t314 tptp.zero_zero_real)) % 0.43/0.79 (assume @p309 (forall @t95 (not (= tptp.zero_zero_int @t42)))) % 0.43/0.79 (assume @p310 (forall @t95 (not (= tptp.zero_zero_real @t49)))) % 0.43/0.79 (assume @p311 (forall @t95 (not (= tptp.zero_zero_nat @t99)))) % 0.43/0.79 (assume @p312 (forall @t271 (=> (not @t343) (not (= @t269 tptp.zero_zero_int))))) % 0.43/0.79 (assume @p313 (forall @t274 (=> (not @t345) (not (= @t272 tptp.zero_zero_nat))))) % 0.43/0.79 (assume @p314 (forall @t277 (=> (not @t337) (not (= @t275 tptp.zero_zero_real))))) % 0.43/0.79 (assume @p315 (forall (@list @t242) (=> (not @t368) (=> (exists (@list @t367) (_ @t242 @t367)) (exists @t231 (and (not @t258) @t257)))))) % 0.43/0.79 (assume @p316 (forall (@list @t172) (not (= tptp.zero_zero_nat @t173)))) % 0.43/0.79 (assume @p317 (forall @t369 (not (= @t176 tptp.zero_zero_nat)))) % 0.43/0.79 (assume @p318 (forall @t369 (not (= tptp.zero_zero_nat @t176)))) % 0.43/0.79 (assume @p319 (forall (@list @t175 @t172) (=> (= @t175 @t173) (not (= @t175 tptp.zero_zero_nat))))) % 0.43/0.79 (assume @p320 (forall @t261 (=> @t368 (=> (forall @t231 @t259) @t256)))) % 0.43/0.79 (assume @p321 (= tptp.one_one_nat @t325)) % 0.43/0.79 (assume @p322 (forall (@list @t370 @t152 @t2) (=> (forall @t243 (_ @t372 tptp.zero_zero_nat)) (=> (forall @t245 (_ (_ @t370 tptp.zero_zero_nat) @t371)) (=> (forall (@list @t240 @t244) (=> (_ @t372 @t244) (_ (_ @t370 (_ tptp.suc @t240)) @t371))) (_ (_ @t370 @t152) @t2)))))) % 0.43/0.79 (assume @p323 (forall (@list @t242 @t153) (=> @t246 (=> (forall @t231 (=> @t257 @t258)) @t368)))) % 0.43/0.79 (assume @p324 (forall @t324 (not (= @t162 tptp.zero_zero_nat)))) % 0.43/0.79 (assume @p325 (forall @t324 (not (= tptp.zero_zero_nat @t162)))) % 0.43/0.79 (assume @p326 (forall (@list @t211) (=> (not (= @t211 tptp.zero_zero_nat)) (not (forall @t375 (not (= @t211 @t374))))))) % 0.43/0.79 (assume @p327 (forall (@list @t242 @t175) (=> @t368 (=> (forall @t375 (=> (_ @t242 @t373) (_ @t242 @t374))) (_ @t242 @t175))))) % 0.43/0.79 (assume @p328 (forall @t143 (=> @t364 (exists @t268 (= @t2 @t266))))) % 0.43/0.79 (assume @p329 (forall @t169 (=> @t376 @t345))) % 0.43/0.79 (assume @p330 (forall @t169 (= @t376 @t345))) % 0.43/0.79 (assume @p331 (forall (@list @t356 @t2) (=> @t358 (= (_ @t160 (_ tptp.nat2 @t356)) (_ (_ tptp.ord_less_eq_int @t180) @t356))))) % 0.43/0.79 (assume @p332 (= (lambda @t387 (exists @t386 @t385)) (lambda @t382 (exists @t381 (and @t380 @t379))))) % 0.43/0.79 (assume @p333 (= (lambda @t387 (forall @t386 @t385)) (lambda @t382 (forall @t381 (=> @t380 @t379))))) % 0.43/0.79 (assume @p334 (forall (@list @t43 @t388) (=> @t339 (=> (_ @t316 @t388) (= (= @t329 (_ tptp.nat2 @t388)) (= @t43 @t388)))))) % 0.43/0.79 (assume @p335 (forall (@list @t112 @t36 @t84) (=> (_ @t314 @t112) (=> @t315 (=> (_ @t37 @t84) (_ @t304 (_ (_ tptp.powr_real @t84) @t112))))))) % 0.43/0.79 (assume @p336 (forall @t320 (_ @t314 (_ @t247 @t84)))) % 0.43/0.79 (assume @p337 (forall @t142 (= (_ (_ tptp.pow @t3) tptp.one) @t3))) % 0.43/0.79 (assume @p338 (forall (@list @t21 @t2) (= (_ @t81 @t2) (_ @t31 @t180)))) % 0.43/0.79 (assume @p339 (forall (@list @t347) (or (= @t347 true) (= @t347 false)))) % 0.43/0.79 (assume @p340 (forall @t239 (= (_ (_ (_ tptp.if_nat false) @t192) @t211) @t211))) % 0.43/0.79 (assume @p341 (forall @t239 (= (_ (_ (_ tptp.if_nat true) @t192) @t211) @t192))) % 0.43/0.79 (assume @p342 @t391) % 0.43/0.79 (assume @p343 true) % 0.43/0.79 (step @p344 (= tptp.numeral_numeral_nat @t393) :rule refl :args (@t393)) % 0.43/0.79 (step @p345 (= tptp.ord_less_eq_nat @t394) :rule refl :args (@t394)) % 0.43/0.79 (step @p346 :rule refl :args ((tptp.ord_less_eq_real @t61 @t50))) % 0.43/0.79 (step @p347 :rule refl :args (@t395)) % 0.43/0.79 (step @p348 :rule refl :args (@t396)) % 0.43/0.79 (step @p349 :rule cong :premises (@p348 @p347) :args (@t397)) % 0.43/0.79 (step @p350 :rule trans :premises (@p349 @p346)) % 0.43/0.79 (step @p351 :rule refl :args (tptp.ord_less_eq_real)) % 0.43/0.79 (step @p352 :rule ho_cong :premises (@p351 @p348)) % 0.43/0.79 (step @p353 :rule ho_cong :premises (@p352 @p347)) % 0.43/0.79 (step @p354 :rule cong :premises (@p353 @p350) :args ((= (_ (_ tptp.ord_less_eq_real @t396) @t395) @t397))) % 0.43/0.79 (step @p355 :rule symm :premises (@p354)) % 0.43/0.79 (step @p356 :rule refl :args (@t73)) % 0.43/0.79 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 0.43/0.79 (step @p358 :rule refl :args (@t50)) % 0.43/0.79 (step @p359 :rule cong :premises (@p358 @p347) :args ((= @t50 @t395))) % 0.43/0.79 (step @p360 :rule symm :premises (@p359)) % 0.43/0.79 (step @p361 :rule eq_resolve :premises (@p358 @p360)) % 0.43/0.79 (step @p362 :rule refl :args (@t61)) % 0.43/0.79 (step @p363 :rule cong :premises (@p362 @p348) :args ((= @t61 @t396))) % 0.43/0.79 (step @p364 :rule symm :premises (@p363)) % 0.43/0.79 (step @p365 :rule eq_resolve :premises (@p362 @p364)) % 0.43/0.79 (step @p366 :rule ho_cong :premises (@p351 @p365)) % 0.43/0.79 (step @p367 :rule ho_cong :premises (@p366 @p361)) % 0.43/0.79 (step @p368 :rule trans :premises (@p367 @p357)) % 0.43/0.79 (step @p369 :rule refl :args (@t398)) % 0.43/0.79 (step @p370 :rule refl :args (@t72)) % 0.43/0.79 (step @p371 :rule cong :premises (@p370 @p369) :args ((= @t72 @t398))) % 0.43/0.79 (step @p372 :rule symm :premises (@p371)) % 0.43/0.79 (step @p373 :rule eq_resolve :premises (@p370 @p372)) % 0.43/0.79 (step @p374 :rule cong :premises (@p373 @p368) :args (@t399)) % 0.43/0.79 (step @p375 :rule cong :premises (@p374) :args ((forall @t62 @t399))) % 0.43/0.79 (step @p376 :rule eq-symm :args (@t73 @t72)) % 0.43/0.79 (step @p377 :rule cong :premises (@p376) :args (@t74)) % 0.43/0.79 (step @p378 :rule trans :premises (@p377 @p375)) % 0.43/0.79 (step @p379 :rule eq_resolve :premises (@p29 @p378)) % 0.43/0.79 (step @p380 :rule refl :args ((tptp.ord_less_eq_real @t103 @t148))) % 0.43/0.79 (step @p381 :rule refl :args ((tptp.powr_real @t87 @t147))) % 0.43/0.79 (step @p382 :rule refl :args ((tptp.semiri2110766477t_real @t106))) % 0.43/0.79 (step @p383 :rule refl :args ((tptp.nat2 @t105))) % 0.43/0.79 (step @p384 :rule refl :args ((tptp.archim1371465213g_real @t89))) % 0.43/0.79 (step @p385 :rule refl :args ((tptp.log @t87 @t85))) % 0.43/0.79 (step @p386 :rule refl :args (@t400)) % 0.43/0.79 (step @p387 :rule refl :args ((tptp.numeral_numeral_real @t86))) % 0.43/0.79 (step @p388 :rule refl :args (@t401)) % 0.43/0.79 (step @p389 :rule cong :premises (@p388) :args (@t402)) % 0.43/0.79 (step @p390 :rule trans :premises (@p389 @p387)) % 0.43/0.79 (step @p391 :rule cong :premises (@p390 @p386) :args (@t403)) % 0.43/0.79 (step @p392 :rule trans :premises (@p391 @p385)) % 0.43/0.79 (step @p393 :rule cong :premises (@p392) :args (@t404)) % 0.43/0.79 (step @p394 :rule trans :premises (@p393 @p384)) % 0.43/0.79 (step @p395 :rule cong :premises (@p394) :args (@t405)) % 0.43/0.79 (step @p396 :rule trans :premises (@p395 @p383)) % 0.43/0.79 (step @p397 :rule cong :premises (@p396) :args (@t406)) % 0.43/0.79 (step @p398 :rule trans :premises (@p397 @p382)) % 0.43/0.79 (step @p399 :rule cong :premises (@p390 @p398) :args (@t407)) % 0.43/0.79 (step @p400 :rule trans :premises (@p399 @p381)) % 0.43/0.79 (step @p401 :rule refl :args ((tptp.powr_real @t87 @t89))) % 0.43/0.79 (step @p402 :rule cong :premises (@p390 @p392) :args (@t408)) % 0.43/0.79 (step @p403 :rule trans :premises (@p402 @p401)) % 0.43/0.79 (step @p404 :rule cong :premises (@p403 @p400) :args (@t409)) % 0.43/0.79 (step @p405 :rule trans :premises (@p404 @p380)) % 0.43/0.79 (step @p406 :rule ho_cong :premises (@p351 @p403)) % 0.43/0.79 (step @p407 :rule ho_cong :premises (@p406 @p400)) % 0.43/0.79 (step @p408 :rule cong :premises (@p407 @p405) :args ((= (_ (_ tptp.ord_less_eq_real @t408) @t407) @t409))) % 0.43/0.79 (step @p409 :rule symm :premises (@p408)) % 0.43/0.79 (step @p410 :rule refl :args (@t150)) % 0.43/0.79 (step @p411 :rule eq_resolve :premises (@p410 @p409)) % 0.43/0.79 (step @p412 :rule refl :args (tptp.powr_real)) % 0.43/0.79 (step @p413 :rule ho_cong :premises (@p412 @p390)) % 0.43/0.79 (step @p414 :rule ho_cong :premises (@p413 @p398)) % 0.43/0.79 (step @p415 :rule cong :premises (@p414 @p400) :args ((= (_ @t410 @t406) @t407))) % 0.43/0.79 (step @p416 :rule symm :premises (@p415)) % 0.43/0.79 (step @p417 :rule refl :args (@t148)) % 0.43/0.79 (step @p418 :rule eq_resolve :premises (@p417 @p416)) % 0.43/0.79 (step @p419 :rule refl :args (tptp.semiri2110766477t_real)) % 0.43/0.79 (step @p420 :rule ho_cong :premises (@p419 @p396)) % 0.43/0.79 (step @p421 :rule cong :premises (@p420 @p398) :args ((= (_ tptp.semiri2110766477t_real @t405) @t406))) % 0.43/0.79 (step @p422 :rule symm :premises (@p421)) % 0.43/0.79 (step @p423 :rule refl :args (@t147)) % 0.43/0.79 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 0.43/0.79 (step @p425 :rule refl :args (tptp.nat2)) % 0.43/0.79 (step @p426 :rule ho_cong :premises (@p425 @p394)) % 0.43/0.79 (step @p427 :rule cong :premises (@p426 @p396) :args ((= (_ tptp.nat2 @t404) @t405))) % 0.43/0.79 (step @p428 :rule symm :premises (@p427)) % 0.43/0.79 (step @p429 :rule refl :args (@t106)) % 0.43/0.79 (step @p430 :rule eq_resolve :premises (@p429 @p428)) % 0.43/0.79 (step @p431 :rule refl :args (tptp.archim1371465213g_real)) % 0.43/0.79 (step @p432 :rule ho_cong :premises (@p431 @p392)) % 0.43/0.79 (step @p433 :rule cong :premises (@p432 @p394) :args ((= (_ tptp.archim1371465213g_real @t403) @t404))) % 0.43/0.79 (step @p434 :rule symm :premises (@p433)) % 0.43/0.79 (step @p435 :rule refl :args (@t105)) % 0.43/0.79 (step @p436 :rule eq_resolve :premises (@p435 @p434)) % 0.43/0.79 (step @p437 :rule refl :args (tptp.log)) % 0.43/0.79 (step @p438 :rule ho_cong :premises (@p437 @p390)) % 0.43/0.79 (step @p439 :rule ho_cong :premises (@p438 @p386)) % 0.43/0.79 (step @p440 :rule cong :premises (@p439 @p392) :args ((= (_ (_ tptp.log @t402) @t400) @t403))) % 0.43/0.79 (step @p441 :rule symm :premises (@p440)) % 0.43/0.79 (step @p442 :rule refl :args (@t89)) % 0.43/0.79 (step @p443 :rule eq_resolve :premises (@p442 @p441)) % 0.43/0.79 (step @p444 :rule refl :args (@t85)) % 0.43/0.79 (step @p445 :rule cong :premises (@p444 @p386) :args ((= @t85 @t400))) % 0.43/0.79 (step @p446 :rule symm :premises (@p445)) % 0.43/0.79 (step @p447 :rule eq_resolve :premises (@p444 @p446)) % 0.43/0.79 (step @p448 :rule refl :args (tptp.numeral_numeral_real)) % 0.43/0.79 (step @p449 :rule ho_cong :premises (@p448 @p388)) % 0.43/0.79 (step @p450 :rule cong :premises (@p449 @p390) :args ((= (_ tptp.numeral_numeral_real @t401) @t402))) % 0.43/0.79 (step @p451 :rule symm :premises (@p450)) % 0.43/0.79 (step @p452 :rule refl :args (@t87)) % 0.43/0.79 (step @p453 :rule eq_resolve :premises (@p452 @p451)) % 0.43/0.79 (step @p454 :rule refl :args (@t86)) % 0.43/0.79 (step @p455 :rule cong :premises (@p454 @p388) :args ((= @t86 @t401))) % 0.43/0.79 (step @p456 :rule symm :premises (@p455)) % 0.43/0.79 (step @p457 :rule eq_resolve :premises (@p454 @p456)) % 0.43/0.79 (step @p458 :rule refl :args (tptp.numeral_numeral_real)) % 0.43/0.79 (step @p459 :rule ho_cong :premises (@p458 @p457)) % 0.43/0.79 (step @p460 :rule trans :premises (@p459 @p453)) % 0.43/0.79 (step @p461 :rule refl :args (tptp.log)) % 0.43/0.79 (step @p462 :rule ho_cong :premises (@p461 @p460)) % 0.43/0.79 (step @p463 :rule ho_cong :premises (@p462 @p447)) % 0.43/0.79 (step @p464 :rule trans :premises (@p463 @p443)) % 0.43/0.79 (step @p465 :rule refl :args (tptp.archim1371465213g_real)) % 0.43/0.79 (step @p466 :rule ho_cong :premises (@p465 @p464)) % 0.43/0.79 (step @p467 :rule trans :premises (@p466 @p436)) % 0.43/0.79 (step @p468 :rule refl :args (tptp.nat2)) % 0.43/0.79 (step @p469 :rule ho_cong :premises (@p468 @p467)) % 0.43/0.79 (step @p470 :rule trans :premises (@p469 @p430)) % 0.43/0.79 (step @p471 :rule refl :args (tptp.semiri2110766477t_real)) % 0.43/0.79 (step @p472 :rule ho_cong :premises (@p471 @p470)) % 0.43/0.79 (step @p473 :rule trans :premises (@p472 @p424)) % 0.43/0.79 (step @p474 :rule refl :args (tptp.powr_real)) % 0.43/0.79 (step @p475 :rule ho_cong :premises (@p474 @p460)) % 0.43/0.79 (step @p476 :rule ho_cong :premises (@p475 @p473)) % 0.43/0.79 (step @p477 :rule trans :premises (@p476 @p418)) % 0.43/0.79 (step @p478 :rule ho_cong :premises (@p413 @p392)) % 0.43/0.79 (step @p479 :rule cong :premises (@p478 @p403) :args ((= (_ @t410 @t403) @t408))) % 0.43/0.79 (step @p480 :rule symm :premises (@p479)) % 0.43/0.79 (step @p481 :rule refl :args (@t103)) % 0.43/0.79 (step @p482 :rule eq_resolve :premises (@p481 @p480)) % 0.43/0.79 (step @p483 :rule ho_cong :premises (@p475 @p464)) % 0.43/0.79 (step @p484 :rule trans :premises (@p483 @p482)) % 0.43/0.79 (step @p485 :rule refl :args (tptp.ord_less_eq_real)) % 0.43/0.79 (step @p486 :rule ho_cong :premises (@p485 @p484)) % 0.43/0.79 (step @p487 :rule ho_cong :premises (@p486 @p477)) % 0.43/0.79 (step @p488 :rule trans :premises (@p487 @p411)) % 0.43/0.79 (step @p489 :rule eq_resolve :premises (@p103 @p488)) % 0.43/0.79 (step @p490 :rule true_intro :premises (@p489)) % 0.43/0.79 (step @p491 :rule eq-symm :args (@t407 @t413)) % 0.43/0.79 (step @p492 :rule refl :args ((tptp.ring_1_of_int_real @t145))) % 0.43/0.79 (step @p493 :rule refl :args ((tptp.power_power_int @t144 @t106))) % 0.43/0.79 (step @p494 :rule refl :args ((tptp.numeral_numeral_int @t86))) % 0.43/0.79 (step @p495 :rule cong :premises (@p388) :args (@t411)) % 0.43/0.79 (step @p496 :rule trans :premises (@p495 @p494)) % 0.43/0.79 (step @p497 :rule cong :premises (@p496 @p396) :args (@t412)) % 0.43/0.79 (step @p498 :rule trans :premises (@p497 @p493)) % 0.43/0.79 (step @p499 :rule cong :premises (@p498) :args (@t413)) % 0.43/0.79 (step @p500 :rule trans :premises (@p499 @p492)) % 0.43/0.79 (step @p501 :rule refl :args (tptp.ring_1_of_int_real)) % 0.43/0.79 (step @p502 :rule ho_cong :premises (@p501 @p498)) % 0.43/0.79 (step @p503 :rule cong :premises (@p502 @p500) :args ((= (_ tptp.ring_1_of_int_real @t412) @t413))) % 0.43/0.79 (step @p504 :rule symm :premises (@p503)) % 0.43/0.79 (step @p505 :rule refl :args (@t146)) % 0.43/0.79 (step @p506 :rule eq_resolve :premises (@p505 @p504)) % 0.43/0.79 (step @p507 :rule refl :args (tptp.power_power_int)) % 0.43/0.79 (step @p508 :rule ho_cong :premises (@p507 @p496)) % 0.43/0.79 (step @p509 :rule ho_cong :premises (@p508 @p396)) % 0.43/0.79 (step @p510 :rule cong :premises (@p509 @p498) :args ((= (_ (_ tptp.power_power_int @t411) @t405) @t412))) % 0.43/0.79 (step @p511 :rule symm :premises (@p510)) % 0.43/0.79 (step @p512 :rule refl :args (@t145)) % 0.43/0.79 (step @p513 :rule eq_resolve :premises (@p512 @p511)) % 0.43/0.79 (step @p514 :rule refl :args (tptp.numeral_numeral_int)) % 0.43/0.79 (step @p515 :rule ho_cong :premises (@p514 @p388)) % 0.43/0.79 (step @p516 :rule cong :premises (@p515 @p496) :args ((= (_ tptp.numeral_numeral_int @t401) @t411))) % 0.43/0.79 (step @p517 :rule symm :premises (@p516)) % 0.43/0.79 (step @p518 :rule refl :args (@t144)) % 0.43/0.79 (step @p519 :rule eq_resolve :premises (@p518 @p517)) % 0.43/0.79 (step @p520 :rule refl :args (tptp.numeral_numeral_int)) % 0.43/0.79 (step @p521 :rule ho_cong :premises (@p520 @p457)) % 0.43/0.79 (step @p522 :rule trans :premises (@p521 @p519)) % 0.43/0.79 (step @p523 :rule refl :args (tptp.power_power_int)) % 0.43/0.79 (step @p524 :rule ho_cong :premises (@p523 @p522)) % 0.43/0.79 (step @p525 :rule ho_cong :premises (@p524 @p470)) % 0.43/0.79 (step @p526 :rule trans :premises (@p525 @p513)) % 0.43/0.79 (step @p527 :rule refl :args (tptp.ring_1_of_int_real)) % 0.43/0.79 (step @p528 :rule ho_cong :premises (@p527 @p526)) % 0.43/0.79 (step @p529 :rule trans :premises (@p528 @p506)) % 0.43/0.79 (step @p530 :rule cong :premises (@p477 @p529) :args (@t149)) % 0.43/0.79 (step @p531 :rule trans :premises (@p530 @p491)) % 0.43/0.79 (step @p532 :rule eq_resolve :premises (@p102 @p531)) % 0.43/0.79 (step @p533 :rule cong :premises (@p447 @p484) :args (@t104)) % 0.43/0.79 (step @p534 :rule eq_resolve :premises (@p54 @p533)) % 0.43/0.79 (step @p535 :rule cong :premises (@p534 @p532) :args (@t414)) % 0.43/0.79 (step @p536 :rule trans :premises (@p535 @p490)) % 0.43/0.79 (step @p537 :rule true_elim :premises (@p536)) % 0.43/0.79 (step @p538 :rule refl :args ((tptp.ord_less_eq_int tptp.d @t145))) % 0.43/0.79 (step @p539 :rule refl :args (tptp.d)) % 0.43/0.79 (step @p540 :rule cong :premises (@p539 @p498) :args (@t415)) % 0.43/0.79 (step @p541 :rule trans :premises (@p540 @p538)) % 0.43/0.79 (step @p542 :rule refl :args (@t389)) % 0.43/0.79 (step @p543 :rule ho_cong :premises (@p542 @p498)) % 0.43/0.79 (step @p544 :rule cong :premises (@p543 @p541) :args ((= (_ @t389 @t412) @t415))) % 0.43/0.79 (step @p545 :rule symm :premises (@p544)) % 0.43/0.79 (step @p546 :rule refl :args (@t390)) % 0.43/0.79 (step @p547 :rule eq_resolve :premises (@p546 @p545)) % 0.43/0.79 (step @p548 :rule refl :args (@t389)) % 0.43/0.79 (step @p549 :rule ho_cong :premises (@p548 @p526)) % 0.43/0.79 (step @p550 :rule trans :premises (@p549 @p547)) % 0.43/0.79 (step @p551 :rule cong :premises (@p550) :args (@t391)) % 0.43/0.79 (step @p552 :rule eq_resolve :premises (@p342 @p551)) % 0.43/0.79 (step @p553 :rule cnf_equiv_pos2 :args (@t416)) % 0.43/0.79 (step @p554 :rule reordering :premises (@p553) :args ((or @t415 (not @t414) @t417))) % 0.43/0.79 (step @p555 :rule chain_m_resolution :premises (@p554 @p552 @p537) :args (@t417 @t418 (@list @t415 @t414))) % 0.43/0.79 (assume-push @p562 @t419) % 0.43/0.79 (step @p557 :rule instantiate :premises (@p379) :args ((@list tptp.d @t412))) % 0.43/0.79 (step-pop @p563 :rule scope :premises (@p557)) % 0.43/0.79 (step @p558 :rule process_scope :premises (@p563) :args (@t416)) % 0.43/0.79 (step @p560 :rule implies_elim :premises (@p558)) % 0.43/0.79 (step @p561 false :rule chain_m_resolution :premises (@p560 @p555 @p379) :args (false @t418 (@list @t416 @t419))) % 0.43/0.79 ) % 0.43/0.79 % SZS output end Proof % 0.43/0.79 % cvc5 exiting %------------------------------------------------------------------------------