%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP130^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:25:08 AM UTC 2026 % Result : Theorem 151.00s 151.42s % Output : Proof 151.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP130^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n005.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 04:15:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.38/0.58 %----Proving TH0 % 151.00/151.42 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.00/151.42 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.00/151.42 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.00/151.42 --- Run --ho-elim --full-saturate-quant at 18s... % 151.00/151.42 % SZS status Theorem % 151.00/151.42 % SZS output start Proof % 151.00/151.42 ( % 151.00/151.42 (declare-sort tptp.int 0) % 151.00/151.42 (declare-sort tptp.real 0) % 151.00/151.42 (declare-sort tptp.nat 0) % 151.00/151.42 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 151.00/151.42 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 151.00/151.42 (declare-const tptp.x tptp.int) % 151.00/151.42 (declare-const tptp.divide_divide_nat (-> tptp.nat tptp.nat tptp.nat)) % 151.00/151.42 (declare-const tptp.divide_divide_int (-> tptp.int tptp.int tptp.int)) % 151.00/151.42 (declare-const tptp.ord_less_eq_real (-> tptp.real tptp.real Bool)) % 151.00/151.42 (declare-const tptp.p tptp.nat) % 151.00/151.42 (declare-const tptp.divide_divide_real (-> tptp.real tptp.real tptp.real)) % 151.00/151.42 (declare-const tptp.zero_zero_int tptp.int) % 151.00/151.42 (declare-const tptp.power_power_int (-> tptp.int tptp.nat tptp.int)) % 151.00/151.42 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 151.00/151.42 (declare-const tptp.y tptp.int) % 151.00/151.42 (declare-const tptp.ring_1_of_int_real (-> tptp.int tptp.real)) % 151.00/151.42 (declare-const tptp.power_power_real (-> tptp.real tptp.nat tptp.real)) % 151.00/151.42 (declare-const tptp.ord_less_real (-> tptp.real tptp.real Bool)) % 151.00/151.42 (declare-const tptp.na tptp.int) % 151.00/151.42 (declare-const tptp.zero_zero_real tptp.real) % 151.00/151.42 (declare-const tptp.pm tptp.nat) % 151.00/151.42 (declare-const tptp.ring_1_of_int_int (-> tptp.int tptp.int)) % 151.00/151.42 (declare-const tptp.ya tptp.int) % 151.00/151.42 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) % 151.00/151.42 (declare-const tptp.ny tptp.real) % 151.00/151.42 (declare-const tptp.zero_zero_nat tptp.nat) % 151.00/151.42 (declare-const tptp.power_power_nat (-> tptp.nat tptp.nat tptp.nat)) % 151.00/151.42 (define tptp.ord_less_eq_nat () (let ((_let_1 (@var "N4" tptp.nat))) (let ((_let_2 (@var "M5" tptp.nat))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_nat _let_2) _let_1) (= _let_2 _let_1)))))) % 151.00/151.42 (define tptp.nthRoo1352626670d_root () (let ((_let_1 (@var "Pm2" tptp.nat))) (let ((_let_2 (@var "P3" tptp.nat))) (lambda (@list _let_2 _let_1) (= _let_2 (_ tptp.suc _let_1)))))) % 151.00/151.42 (define @t1 () (@var "X" tptp.int)) % 151.00/151.42 (define @t2 () (@var "W" tptp.nat)) % 151.00/151.42 (define @t3 () (@var "B" tptp.int)) % 151.00/151.42 (define @t4 () (_ tptp.power_power_int @t3)) % 151.00/151.42 (define @t5 () (_ @t4 @t2)) % 151.00/151.42 (define @t6 () (_ (_ tptp.ord_less_int @t5) @t1)) % 151.00/151.42 (define @t7 () (_ tptp.ring_1_of_int_real @t1)) % 151.00/151.42 (define @t8 () (_ tptp.ring_1_of_int_real @t3)) % 151.00/151.42 (define @t9 () (_ (_ tptp.power_power_real @t8) @t2)) % 151.00/151.42 (define @t10 () (@list @t3 @t2 @t1)) % 151.00/151.42 (define @t11 () (_ tptp.ring_1_of_int_int @t1)) % 151.00/151.42 (define @t12 () (_ (_ tptp.power_power_int (_ tptp.ring_1_of_int_int @t3)) @t2)) % 151.00/151.42 (define @t13 () (_ tptp.ord_less_int @t1)) % 151.00/151.42 (define @t14 () (_ @t13 @t5)) % 151.00/151.42 (define @t15 () (_ (_ tptp.ord_less_real @t7) @t9)) % 151.00/151.42 (define @t16 () (= @t15 @t14)) % 151.00/151.42 (define @t17 () (@list @t1 @t3 @t2)) % 151.00/151.42 (define @t18 () (forall @t17 @t16)) % 151.00/151.42 (define @t19 () (@var "N" tptp.nat)) % 151.00/151.42 (define @t20 () (@var "Z" tptp.int)) % 151.00/151.42 (define @t21 () (_ tptp.ring_1_of_int_real @t20)) % 151.00/151.42 (define @t22 () (_ (_ tptp.power_power_int @t20) @t19)) % 151.00/151.42 (define @t23 () (@list @t20 @t19)) % 151.00/151.42 (define @t24 () (_ tptp.ring_1_of_int_int @t20)) % 151.00/151.42 (define @t25 () (= @t5 @t1)) % 151.00/151.42 (define @t26 () (= @t1 @t5)) % 151.00/151.42 (define @t27 () (@var "W" tptp.int)) % 151.00/151.42 (define @t28 () (_ (_ tptp.ord_less_int @t27) @t20)) % 151.00/151.42 (define @t29 () (_ tptp.ring_1_of_int_real @t27)) % 151.00/151.42 (define @t30 () (@list @t27 @t20)) % 151.00/151.42 (define @t31 () (_ tptp.ring_1_of_int_int @t27)) % 151.00/151.42 (define @t32 () (_ tptp.ring_1_of_int_real tptp.na)) % 151.00/151.42 (define @t33 () (_ tptp.ord_less_real tptp.zero_zero_real)) % 151.00/151.42 (define @t34 () (_ tptp.ring_1_of_int_real tptp.ya)) % 151.00/151.42 (define @t35 () (= @t27 @t20)) % 151.00/151.42 (define @t36 () (@var "Y2" tptp.nat)) % 151.00/151.42 (define @t37 () (@var "X2" tptp.nat)) % 151.00/151.42 (define @t38 () (_ tptp.suc @t37)) % 151.00/151.42 (define @t39 () (@var "Nat2" tptp.nat)) % 151.00/151.42 (define @t40 () (@var "Nat" tptp.nat)) % 151.00/151.42 (define @t41 () (_ tptp.suc @t39)) % 151.00/151.42 (define @t42 () (= tptp.ya tptp.zero_zero_int)) % 151.00/151.42 (define @t43 () (_ tptp.ord_less_int tptp.zero_zero_int)) % 151.00/151.42 (define @t44 () (@var "M" tptp.nat)) % 151.00/151.42 (define @t45 () (_ tptp.ord_less_nat @t44)) % 151.00/151.42 (define @t46 () (_ @t45 @t19)) % 151.00/151.42 (define @t47 () (_ tptp.suc @t19)) % 151.00/151.42 (define @t48 () (_ tptp.suc @t44)) % 151.00/151.42 (define @t49 () (_ tptp.ord_less_nat @t48)) % 151.00/151.42 (define @t50 () (_ @t49 @t47)) % 151.00/151.42 (define @t51 () (@list @t44 @t19)) % 151.00/151.42 (define @t52 () (_ tptp.ord_less_nat @t19)) % 151.00/151.42 (define @t53 () (@list @t19)) % 151.00/151.42 (define @t54 () (_ tptp.ord_less_int tptp.na)) % 151.00/151.42 (define @t55 () (_ tptp.ord_less_eq_int tptp.zero_zero_int)) % 151.00/151.42 (define @t56 () (= @t20 tptp.zero_zero_int)) % 151.00/151.42 (define @t57 () (@list @t20)) % 151.00/151.42 (define @t58 () (_ (_ tptp.ord_less_int @t20) tptp.zero_zero_int)) % 151.00/151.42 (define @t59 () (_ @t43 @t20)) % 151.00/151.42 (define @t60 () (_ @t33 @t21)) % 151.00/151.42 (define @t61 () (_ @t43 @t24)) % 151.00/151.42 (define @t62 () (_ @t52 @t48)) % 151.00/151.42 (define @t63 () (= @t62 (= @t19 @t44))) % 151.00/151.42 (define @t64 () (_ @t52 @t44)) % 151.00/151.42 (define @t65 () (not @t64)) % 151.00/151.42 (define @t66 () (@list @t19 @t44)) % 151.00/151.42 (define @t67 () (@var "I" tptp.nat)) % 151.00/151.42 (define @t68 () (@var "P" (-> tptp.nat Bool))) % 151.00/151.42 (define @t69 () (_ @t68 @t67)) % 151.00/151.42 (define @t70 () (@var "I2" tptp.nat)) % 151.00/151.42 (define @t71 () (_ @t68 @t70)) % 151.00/151.42 (define @t72 () (_ tptp.suc @t70)) % 151.00/151.42 (define @t73 () (@var "J" tptp.nat)) % 151.00/151.42 (define @t74 () (_ tptp.ord_less_nat @t70)) % 151.00/151.42 (define @t75 () (@list @t70)) % 151.00/151.42 (define @t76 () (_ tptp.ord_less_nat @t67)) % 151.00/151.42 (define @t77 () (_ @t76 @t73)) % 151.00/151.42 (define @t78 () (@list @t67 @t73 @t68)) % 151.00/151.42 (define @t79 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 151.00/151.42 (define @t80 () (@var "K" tptp.nat)) % 151.00/151.42 (define @t81 () (_ @t79 @t70)) % 151.00/151.42 (define @t82 () (@var "J2" tptp.nat)) % 151.00/151.42 (define @t83 () (_ @t74 @t82)) % 151.00/151.42 (define @t84 () (@var "K2" tptp.nat)) % 151.00/151.42 (define @t85 () (_ tptp.suc @t67)) % 151.00/151.42 (define @t86 () (_ (_ tptp.ord_less_nat @t85) @t84)) % 151.00/151.42 (define @t87 () (@list @t67 @t73 @t84)) % 151.00/151.42 (define @t88 () (= @t44 @t19)) % 151.00/151.42 (define @t89 () (@var "M2" tptp.nat)) % 151.00/151.42 (define @t90 () (@var "I3" tptp.nat)) % 151.00/151.42 (define @t91 () (_ @t68 @t90)) % 151.00/151.42 (define @t92 () (_ tptp.ord_less_nat @t90)) % 151.00/151.42 (define @t93 () (_ @t92 @t19)) % 151.00/151.42 (define @t94 () (@list @t90)) % 151.00/151.42 (define @t95 () (_ @t68 @t19)) % 151.00/151.42 (define @t96 () (_ @t92 @t47)) % 151.00/151.42 (define @t97 () (forall @t94 (=> @t96 @t91))) % 151.00/151.42 (define @t98 () (@list @t19 @t68)) % 151.00/151.42 (define @t99 () (not @t46)) % 151.00/151.42 (define @t100 () (or @t46 @t88)) % 151.00/151.42 (define @t101 () (_ @t45 @t47)) % 151.00/151.42 (define @t102 () (exists @t94 (and @t96 @t91))) % 151.00/151.42 (define @t103 () (_ @t49 @t19)) % 151.00/151.42 (define @t104 () (not (forall (@list @t82) (=> (_ @t76 @t82) (not (= @t84 (_ tptp.suc @t82))))))) % 151.00/151.42 (define @t105 () (@list @t67 @t84)) % 151.00/151.42 (define @t106 () (@var "Y" tptp.nat)) % 151.00/151.42 (define @t107 () (@var "X" tptp.nat)) % 151.00/151.42 (define @t108 () (= @t107 @t106)) % 151.00/151.42 (define @t109 () (@list @t107 @t106)) % 151.00/151.42 (define @t110 () (@var "F" (-> tptp.nat tptp.real))) % 151.00/151.42 (define @t111 () (_ @t110 @t19)) % 151.00/151.42 (define @t112 () (_ tptp.ord_less_real @t111)) % 151.00/151.42 (define @t113 () (@var "N2" tptp.nat)) % 151.00/151.42 (define @t114 () (_ tptp.suc @t113)) % 151.00/151.42 (define @t115 () (_ @t110 @t114)) % 151.00/151.42 (define @t116 () (_ @t110 @t113)) % 151.00/151.42 (define @t117 () (@list @t113)) % 151.00/151.42 (define @t118 () (forall @t117 (_ (_ tptp.ord_less_real @t116) @t115))) % 151.00/151.42 (define @t119 () (@var "F" (-> tptp.nat tptp.int))) % 151.00/151.42 (define @t120 () (_ @t119 @t19)) % 151.00/151.42 (define @t121 () (_ tptp.ord_less_int @t120)) % 151.00/151.42 (define @t122 () (_ @t119 @t114)) % 151.00/151.42 (define @t123 () (_ @t119 @t113)) % 151.00/151.42 (define @t124 () (forall @t117 (_ (_ tptp.ord_less_int @t123) @t122))) % 151.00/151.42 (define @t125 () (@var "F" (-> tptp.nat tptp.nat))) % 151.00/151.42 (define @t126 () (_ @t125 @t19)) % 151.00/151.42 (define @t127 () (_ tptp.ord_less_nat @t126)) % 151.00/151.42 (define @t128 () (_ @t125 @t114)) % 151.00/151.42 (define @t129 () (_ @t125 @t113)) % 151.00/151.42 (define @t130 () (forall @t117 (_ (_ tptp.ord_less_nat @t129) @t128))) % 151.00/151.42 (define @t131 () (@var "N3" tptp.nat)) % 151.00/151.42 (define @t132 () (_ @t110 @t131)) % 151.00/151.42 (define @t133 () (_ @t52 @t131)) % 151.00/151.42 (define @t134 () (@list @t110 @t19 @t131)) % 151.00/151.42 (define @t135 () (_ @t119 @t131)) % 151.00/151.42 (define @t136 () (@list @t119 @t19 @t131)) % 151.00/151.42 (define @t137 () (_ @t125 @t131)) % 151.00/151.42 (define @t138 () (@list @t125 @t19 @t131)) % 151.00/151.42 (define @t139 () (_ tptp.power_power_real tptp.zero_zero_real)) % 151.00/151.42 (define @t140 () (_ tptp.power_power_int tptp.zero_zero_int)) % 151.00/151.42 (define @t141 () (_ tptp.power_power_nat tptp.zero_zero_nat)) % 151.00/151.42 (define @t142 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 151.00/151.42 (define @t143 () (_ @t142 @t19)) % 151.00/151.42 (define @t144 () (@var "A" tptp.real)) % 151.00/151.42 (define @t145 () (= @t144 tptp.zero_zero_real)) % 151.00/151.42 (define @t146 () (_ tptp.power_power_real @t144)) % 151.00/151.42 (define @t147 () (_ @t146 @t19)) % 151.00/151.42 (define @t148 () (= @t147 tptp.zero_zero_real)) % 151.00/151.42 (define @t149 () (@list @t144 @t19)) % 151.00/151.42 (define @t150 () (@var "A" tptp.int)) % 151.00/151.42 (define @t151 () (= @t150 tptp.zero_zero_int)) % 151.00/151.42 (define @t152 () (_ tptp.power_power_int @t150)) % 151.00/151.42 (define @t153 () (_ @t152 @t19)) % 151.00/151.42 (define @t154 () (= @t153 tptp.zero_zero_int)) % 151.00/151.42 (define @t155 () (@list @t150 @t19)) % 151.00/151.42 (define @t156 () (@var "A" tptp.nat)) % 151.00/151.42 (define @t157 () (= @t156 tptp.zero_zero_nat)) % 151.00/151.42 (define @t158 () (_ tptp.power_power_nat @t156)) % 151.00/151.42 (define @t159 () (_ @t158 @t19)) % 151.00/151.42 (define @t160 () (= @t159 tptp.zero_zero_nat)) % 151.00/151.42 (define @t161 () (@list @t156 @t19)) % 151.00/151.42 (define @t162 () (= @t19 tptp.zero_zero_nat)) % 151.00/151.42 (define @t163 () (@var "R" tptp.real)) % 151.00/151.42 (define @t164 () (_ tptp.power_power_real @t163)) % 151.00/151.42 (define @t165 () (_ @t33 @t163)) % 151.00/151.42 (define @t166 () (@list @t163)) % 151.00/151.42 (define @t167 () (_ @t33 @t144)) % 151.00/151.42 (define @t168 () (_ @t43 @t150)) % 151.00/151.42 (define @t169 () (_ @t142 @t156)) % 151.00/151.42 (define @t170 () (_ tptp.power_power_real @t34)) % 151.00/151.42 (define @t171 () (@var "X" tptp.real)) % 151.00/151.42 (define @t172 () (@var "Z2" tptp.int)) % 151.00/151.42 (define @t173 () (_ tptp.ring_1_of_int_real @t172)) % 151.00/151.42 (define @t174 () (@list @t172)) % 151.00/151.42 (define @t175 () (@list @t171)) % 151.00/151.42 (define @t176 () (_ tptp.ord_less_real @t171)) % 151.00/151.42 (define @t177 () (_ tptp.power_power_int tptp.ya)) % 151.00/151.42 (define @t178 () (_ @t177 tptp.p)) % 151.00/151.42 (define @t179 () (_ tptp.suc tptp.pm)) % 151.00/151.42 (define @t180 () (_ tptp.ord_less_eq_nat @t19)) % 151.00/151.42 (define @t181 () (_ tptp.suc tptp.zero_zero_nat)) % 151.00/151.42 (define @t182 () (= @t44 tptp.zero_zero_nat)) % 151.00/151.42 (define @t183 () (_ tptp.power_power_nat @t107)) % 151.00/151.42 (define @t184 () (not @t162)) % 151.00/151.42 (define @t185 () (not @t157)) % 151.00/151.42 (define @t186 () (@list @t156)) % 151.00/151.42 (define @t187 () (@list @t144)) % 151.00/151.42 (define @t188 () (@list @t150)) % 151.00/151.42 (define @t189 () (_ (_ tptp.ord_less_eq_int @t27) @t20)) % 151.00/151.42 (define @t190 () (@var "B" tptp.real)) % 151.00/151.42 (define @t191 () (_ tptp.ord_less_eq_real @t144)) % 151.00/151.42 (define @t192 () (_ @t191 @t190)) % 151.00/151.42 (define @t193 () (_ tptp.power_power_real @t190)) % 151.00/151.42 (define @t194 () (_ @t193 @t19)) % 151.00/151.42 (define @t195 () (_ (_ tptp.ord_less_eq_real @t147) @t194)) % 151.00/151.42 (define @t196 () (_ tptp.ord_less_eq_real tptp.zero_zero_real)) % 151.00/151.42 (define @t197 () (_ @t196 @t190)) % 151.00/151.42 (define @t198 () (_ @t196 @t144)) % 151.00/151.42 (define @t199 () (@list @t144 @t190 @t19)) % 151.00/151.42 (define @t200 () (_ tptp.ord_less_eq_int @t150)) % 151.00/151.42 (define @t201 () (_ @t200 @t3)) % 151.00/151.42 (define @t202 () (_ @t4 @t19)) % 151.00/151.42 (define @t203 () (_ (_ tptp.ord_less_eq_int @t153) @t202)) % 151.00/151.42 (define @t204 () (_ @t55 @t3)) % 151.00/151.42 (define @t205 () (_ @t55 @t150)) % 151.00/151.42 (define @t206 () (@list @t150 @t3 @t19)) % 151.00/151.42 (define @t207 () (@var "B" tptp.nat)) % 151.00/151.42 (define @t208 () (_ tptp.ord_less_eq_nat @t156)) % 151.00/151.42 (define @t209 () (_ @t208 @t207)) % 151.00/151.42 (define @t210 () (_ tptp.power_power_nat @t207)) % 151.00/151.42 (define @t211 () (_ @t210 @t19)) % 151.00/151.42 (define @t212 () (_ (_ tptp.ord_less_eq_nat @t159) @t211)) % 151.00/151.42 (define @t213 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 151.00/151.42 (define @t214 () (_ @t213 @t207)) % 151.00/151.42 (define @t215 () (_ @t213 @t156)) % 151.00/151.42 (define @t216 () (@list @t156 @t207 @t19)) % 151.00/151.42 (define @t217 () (_ (_ tptp.ord_less_eq_int @t20) tptp.zero_zero_int)) % 151.00/151.42 (define @t218 () (_ @t55 @t20)) % 151.00/151.42 (define @t219 () (_ @t196 @t21)) % 151.00/151.42 (define @t220 () (_ @t55 @t24)) % 151.00/151.42 (define @t221 () (_ (_ tptp.ord_less_eq_int @t5) @t1)) % 151.00/151.42 (define @t222 () (_ tptp.ord_less_eq_int @t1)) % 151.00/151.42 (define @t223 () (_ @t222 @t5)) % 151.00/151.42 (define @t224 () (not @t88)) % 151.00/151.42 (define @t225 () (@var "T" tptp.nat)) % 151.00/151.42 (define @t226 () (@var "S" tptp.nat)) % 151.00/151.42 (define @t227 () (_ @t68 @t113)) % 151.00/151.42 (define @t228 () (@var "M3" tptp.nat)) % 151.00/151.42 (define @t229 () (_ @t68 @t228)) % 151.00/151.42 (define @t230 () (_ (_ tptp.ord_less_nat @t228) @t113)) % 151.00/151.42 (define @t231 () (@list @t228)) % 151.00/151.42 (define @t232 () (@list @t68 @t19)) % 151.00/151.42 (define @t233 () (not @t227)) % 151.00/151.42 (define @t234 () (=> @t233 (exists @t231 (and @t230 (not @t229))))) % 151.00/151.42 (define @t235 () (_ @t68 tptp.zero_zero_nat)) % 151.00/151.42 (define @t236 () (_ tptp.ord_less_nat @t156)) % 151.00/151.42 (define @t237 () (_ tptp.power_power_nat @t67)) % 151.00/151.42 (define @t238 () (_ @t237 @t19)) % 151.00/151.42 (define @t239 () (_ @t180 @t131)) % 151.00/151.42 (define @t240 () (@list @t107)) % 151.00/151.42 (define @t241 () (_ tptp.divide_divide_real @t144)) % 151.00/151.42 (define @t242 () (_ @t241 @t190)) % 151.00/151.42 (define @t243 () (_ tptp.ord_less_eq_real @t171)) % 151.00/151.42 (define @t244 () (_ @t68 @t114)) % 151.00/151.42 (define @t245 () (@var "X_1" tptp.nat)) % 151.00/151.42 (define @t246 () (not @t235)) % 151.00/151.42 (define @t247 () (@list @t39)) % 151.00/151.42 (define @t248 () (=> @t227 @t244)) % 151.00/151.42 (define @t249 () (@var "Y3" tptp.nat)) % 151.00/151.42 (define @t250 () (_ tptp.suc @t249)) % 151.00/151.42 (define @t251 () (@var "X3" tptp.nat)) % 151.00/151.42 (define @t252 () (_ @t79 @t251)) % 151.00/151.42 (define @t253 () (@list @t249)) % 151.00/151.42 (define @t254 () (@list @t251)) % 151.00/151.42 (define @t255 () (=> @t244 @t227)) % 151.00/151.42 (define @t256 () (_ @t68 @t84)) % 151.00/151.42 (define @t257 () (@list @t44)) % 151.00/151.42 (define @t258 () (@var "Nat3" tptp.nat)) % 151.00/151.42 (define @t259 () (_ tptp.suc @t258)) % 151.00/151.42 (define @t260 () (@list @t258)) % 151.00/151.42 (define @t261 () (@var "M4" tptp.nat)) % 151.00/151.42 (define @t262 () (_ tptp.suc @t261)) % 151.00/151.42 (define @t263 () (@list @t261)) % 151.00/151.42 (define @t264 () (exists @t263 (= @t19 @t262))) % 151.00/151.42 (define @t265 () (@var "J3" tptp.nat)) % 151.00/151.42 (define @t266 () (_ @t68 (_ tptp.suc @t90))) % 151.00/151.42 (define @t267 () (@var "M5" tptp.nat)) % 151.00/151.42 (define @t268 () (= @t144 @t190)) % 151.00/151.42 (define @t269 () (= @t147 @t194)) % 151.00/151.42 (define @t270 () (@list @t144 @t19 @t190)) % 151.00/151.42 (define @t271 () (= @t150 @t3)) % 151.00/151.42 (define @t272 () (= @t153 @t202)) % 151.00/151.42 (define @t273 () (@list @t150 @t19 @t3)) % 151.00/151.42 (define @t274 () (= @t156 @t207)) % 151.00/151.42 (define @t275 () (= @t159 @t211)) % 151.00/151.42 (define @t276 () (@list @t156 @t19 @t207)) % 151.00/151.42 (define @t277 () (_ tptp.ord_less_real @t144)) % 151.00/151.42 (define @t278 () (_ @t277 @t190)) % 151.00/151.42 (define @t279 () (_ (_ tptp.ord_less_real @t147) @t194)) % 151.00/151.42 (define @t280 () (_ tptp.ord_less_int @t150)) % 151.00/151.42 (define @t281 () (_ @t280 @t3)) % 151.00/151.42 (define @t282 () (_ (_ tptp.ord_less_int @t153) @t202)) % 151.00/151.42 (define @t283 () (_ @t236 @t207)) % 151.00/151.42 (define @t284 () (_ (_ tptp.ord_less_nat @t159) @t211)) % 151.00/151.42 (define @t285 () (_ @t193 @t47)) % 151.00/151.42 (define @t286 () (_ @t146 @t47)) % 151.00/151.42 (define @t287 () (_ @t4 @t47)) % 151.00/151.42 (define @t288 () (_ @t152 @t47)) % 151.00/151.42 (define @t289 () (_ @t210 @t47)) % 151.00/151.42 (define @t290 () (_ @t158 @t47)) % 151.00/151.42 (define @t291 () (@list @t19 @t144)) % 151.00/151.42 (define @t292 () (@var "X3" tptp.real)) % 151.00/151.42 (define @t293 () (@var "Y4" tptp.real)) % 151.00/151.42 (define @t294 () (@var "Y" tptp.real)) % 151.00/151.42 (define @t295 () (_ @t176 @t294)) % 151.00/151.42 (define @t296 () (@var "P2" tptp.nat)) % 151.00/151.42 (define @t297 () (_ (_ tptp.power_power_real @t294) @t296)) % 151.00/151.42 (define @t298 () (_ (_ tptp.power_power_real @t171) @t296)) % 151.00/151.42 (define @t299 () (_ @t196 @t294)) % 151.00/151.42 (define @t300 () (_ @t196 @t171)) % 151.00/151.42 (define @t301 () (_ @t142 @t296)) % 151.00/151.42 (define @t302 () (@list @t296 @t171 @t294)) % 151.00/151.42 (define @t303 () (@var "Y" tptp.int)) % 151.00/151.42 (define @t304 () (_ @t13 @t303)) % 151.00/151.42 (define @t305 () (_ (_ tptp.power_power_int @t303) @t296)) % 151.00/151.42 (define @t306 () (_ (_ tptp.power_power_int @t1) @t296)) % 151.00/151.42 (define @t307 () (_ @t55 @t303)) % 151.00/151.42 (define @t308 () (_ @t55 @t1)) % 151.00/151.42 (define @t309 () (@list @t296 @t1 @t303)) % 151.00/151.42 (define @t310 () (_ @t243 @t294)) % 151.00/151.42 (define @t311 () (_ tptp.divide_divide_int @t150)) % 151.00/151.42 (define @t312 () (_ tptp.divide_divide_nat @t156)) % 151.00/151.42 (define @t313 () (@var "C" tptp.real)) % 151.00/151.42 (define @t314 () (= @t313 tptp.zero_zero_real)) % 151.00/151.42 (define @t315 () (or @t314 @t268)) % 151.00/151.42 (define @t316 () (_ (_ tptp.divide_divide_real @t190) @t313)) % 151.00/151.42 (define @t317 () (_ @t241 @t313)) % 151.00/151.42 (define @t318 () (@list @t144 @t313 @t190)) % 151.00/151.42 (define @t319 () (@list @t144 @t190)) % 151.00/151.42 (define @t320 () (_ tptp.divide_divide_real @t313)) % 151.00/151.42 (define @t321 () (_ @t180 @t44)) % 151.00/151.42 (define @t322 () (_ tptp.ord_less_eq_nat @t47)) % 151.00/151.42 (define @t323 () (_ tptp.ord_less_eq_nat @t67)) % 151.00/151.42 (define @t324 () (_ @t323 @t73)) % 151.00/151.42 (define @t325 () (_ tptp.ord_less_eq_nat @t44)) % 151.00/151.42 (define @t326 () (_ @t325 @t19)) % 151.00/151.42 (define @t327 () (@var "Y4" tptp.nat)) % 151.00/151.42 (define @t328 () (_ @t208 tptp.zero_zero_nat)) % 151.00/151.42 (define @t329 () (@var "R2" (-> tptp.nat tptp.nat Bool))) % 151.00/151.42 (define @t330 () (@var "Z2" tptp.nat)) % 151.00/151.42 (define @t331 () (_ @t329 @t251)) % 151.00/151.42 (define @t332 () (not @t326)) % 151.00/151.42 (define @t333 () (= @t44 @t47)) % 151.00/151.42 (define @t334 () (_ @t325 @t47)) % 151.00/151.42 (define @t335 () (@var "M6" tptp.nat)) % 151.00/151.42 (define @t336 () (_ (_ tptp.ord_less_eq_nat @t48) @t19)) % 151.00/151.42 (define @t337 () (@var "N4" tptp.nat)) % 151.00/151.42 (define @t338 () (= @t267 @t337)) % 151.00/151.42 (define @t339 () (@list @t267 @t337)) % 151.00/151.42 (define @t340 () (@var "Pm" tptp.nat)) % 151.00/151.42 (define @t341 () (_ (_ tptp.nthRoo1352626670d_root @t296) @t340)) % 151.00/151.42 (define @t342 () (@list @t296 @t340)) % 151.00/151.42 (define @t343 () (= @t296 (_ tptp.suc @t340))) % 151.00/151.42 (define @t344 () (_ tptp.ord_less_eq_nat @t181)) % 151.00/151.42 (define @t345 () (@var "I4" tptp.nat)) % 151.00/151.42 (define @t346 () (not (_ @t68 @t345))) % 151.00/151.42 (define @t347 () (@list @t345)) % 151.00/151.42 (define @t348 () (@list @t80)) % 151.00/151.42 (define @t349 () (_ @t68 @t73)) % 151.00/151.42 (define @t350 () (_ (_ tptp.ord_less_nat @t113) @t73)) % 151.00/151.42 (define @t351 () (_ @t323 @t113)) % 151.00/151.42 (define @t352 () (@var "__flatten_var_0" tptp.nat)) % 151.00/151.42 (define @t353 () (@var "X_12" tptp.real)) % 151.00/151.42 (define @t354 () (@var "X4" tptp.real)) % 151.00/151.42 (define @t355 () (@list @t354)) % 151.00/151.42 (define @t356 () (@var "Y3" tptp.real)) % 151.00/151.42 (define @t357 () (@list @t144 @t190 @t313)) % 151.00/151.42 (define @t358 () (_ tptp.divide_divide_real @t171)) % 151.00/151.42 (define @t359 () (_ @t358 @t294)) % 151.00/151.42 (define @t360 () (_ @t196 @t359)) % 151.00/151.42 (define @t361 () (_ (_ tptp.ord_less_eq_real @t294) tptp.zero_zero_real)) % 151.00/151.42 (define @t362 () (_ @t243 tptp.zero_zero_real)) % 151.00/151.42 (define @t363 () (@list @t171 @t294)) % 151.00/151.42 (define @t364 () (_ (_ tptp.ord_less_eq_real @t359) tptp.zero_zero_real)) % 151.00/151.42 (define @t365 () (_ tptp.ord_less_eq_real @t190)) % 151.00/151.42 (define @t366 () (_ @t365 tptp.zero_zero_real)) % 151.00/151.42 (define @t367 () (_ @t191 tptp.zero_zero_real)) % 151.00/151.42 (define @t368 () (_ (_ tptp.ord_less_eq_real @t317) @t316)) % 151.00/151.42 (define @t369 () (_ @t33 @t359)) % 151.00/151.42 (define @t370 () (_ tptp.ord_less_real @t294)) % 151.00/151.42 (define @t371 () (_ @t370 tptp.zero_zero_real)) % 151.00/151.42 (define @t372 () (_ @t176 tptp.zero_zero_real)) % 151.00/151.42 (define @t373 () (_ (_ tptp.ord_less_real @t359) tptp.zero_zero_real)) % 151.00/151.42 (define @t374 () (_ @t33 @t294)) % 151.00/151.42 (define @t375 () (_ @t33 @t171)) % 151.00/151.42 (define @t376 () (_ @t33 @t190)) % 151.00/151.42 (define @t377 () (_ @t277 tptp.zero_zero_real)) % 151.00/151.42 (define @t378 () (_ tptp.ord_less_real @t190)) % 151.00/151.42 (define @t379 () (_ @t378 tptp.zero_zero_real)) % 151.00/151.42 (define @t380 () (_ @t378 @t144)) % 151.00/151.42 (define @t381 () (_ (_ tptp.ord_less_real @t313) tptp.zero_zero_real)) % 151.00/151.42 (define @t382 () (_ @t33 @t313)) % 151.00/151.42 (define @t383 () (_ (_ tptp.ord_less_real @t317) @t316)) % 151.00/151.42 (define @t384 () (@var "W" tptp.real)) % 151.00/151.42 (define @t385 () (_ (_ tptp.divide_divide_real @t294) @t384)) % 151.00/151.42 (define @t386 () (@var "Z" tptp.real)) % 151.00/151.42 (define @t387 () (_ @t358 @t386)) % 151.00/151.42 (define @t388 () (_ (_ tptp.ord_less_eq_real @t384) @t386)) % 151.00/151.42 (define @t389 () (_ @t33 @t384)) % 151.00/151.42 (define @t390 () (_ (_ tptp.ord_less_real @t387) @t385)) % 151.00/151.42 (define @t391 () (@list @t171 @t294 @t384 @t386)) % 151.00/151.42 (define @t392 () (@var "L" tptp.int)) % 151.00/151.42 (define @t393 () (@var "K2" tptp.int)) % 151.00/151.42 (define @t394 () (= (_ (_ tptp.divide_divide_int @t393) @t392) tptp.zero_zero_int)) % 151.00/151.42 (define @t395 () (_ tptp.ord_less_eq_int @t393)) % 151.00/151.42 (define @t396 () (@list @t393 @t392)) % 151.00/151.42 (define @t397 () (_ tptp.divide_divide_nat @t44)) % 151.00/151.42 (define @t398 () (_ @t397 @t19)) % 151.00/151.42 (define @t399 () (= @t398 tptp.zero_zero_nat)) % 151.00/151.42 (define @t400 () (@list @t44 @t19 @t84)) % 151.00/151.42 (define @t401 () (_ tptp.ord_less_eq_nat @t398)) % 151.00/151.42 (define @t402 () (_ tptp.divide_divide_nat @t84)) % 151.00/151.42 (define @t403 () (@var "A2" tptp.int)) % 151.00/151.42 (define @t404 () (_ @t311 @t3)) % 151.00/151.42 (define @t405 () (_ tptp.ord_less_eq_int @t404)) % 151.00/151.42 (define @t406 () (_ @t43 @t3)) % 151.00/151.42 (define @t407 () (@var "B2" tptp.int)) % 151.00/151.42 (define @t408 () (_ @t280 tptp.zero_zero_int)) % 151.00/151.42 (define @t409 () (_ (_ tptp.ord_less_int @t404) tptp.zero_zero_int)) % 151.00/151.42 (define @t410 () (@list @t3 @t150)) % 151.00/151.42 (define @t411 () (_ (_ tptp.ord_less_int @t3) tptp.zero_zero_int)) % 151.00/151.42 (define @t412 () (@list @t150 @t3)) % 151.00/151.42 (define @t413 () (_ @t43 @t404)) % 151.00/151.42 (define @t414 () (_ (_ tptp.ord_less_eq_int @t3) @t150)) % 151.00/151.42 (define @t415 () (_ @t312 @t207)) % 151.00/151.42 (define @t416 () (_ @t55 @t404)) % 151.00/151.42 (define @t417 () (_ @t200 tptp.zero_zero_int)) % 151.00/151.42 (define @t418 () (@var "I" tptp.int)) % 151.00/151.42 (define @t419 () (not (_ (_ tptp.ord_less_real @t32) (_ @t170 @t179)))) % 151.00/151.42 (define @t420 () (lambda @t339 (or (_ (_ tptp.ord_less_nat @t267) @t337) @t338))) % 151.00/151.42 (define @t421 () (@var "Pm2" tptp.nat)) % 151.00/151.42 (define @t422 () (@var "P3" tptp.nat)) % 151.00/151.42 (define @t423 () (lambda (@list @t422 @t421) (= @t422 (_ tptp.suc @t421)))) % 151.00/151.42 (define @t424 () (@const 0 (@ho-elim-sort (-> tptp.int tptp.real)))) % 151.00/151.42 (define @t425 () (@const 1 (-> (@ho-elim-sort (-> tptp.int tptp.real)) tptp.int tptp.real))) % 151.00/151.42 (define @t426 () (@const 2 (@ho-elim-sort (-> tptp.real tptp.nat tptp.real)))) % 151.00/151.42 (define @t427 () (@const 3 (-> (@ho-elim-sort (-> tptp.real tptp.nat tptp.real)) tptp.real (@ho-elim-sort (-> tptp.nat tptp.real))))) % 151.00/151.42 (define @t428 () (@const 4 (-> (@ho-elim-sort (-> tptp.nat tptp.real)) tptp.nat tptp.real))) % 151.00/151.42 (define @t429 () (@const 5 (@ho-elim-sort (-> tptp.real tptp.real Bool)))) % 151.00/151.42 (define @t430 () (@const 6 (-> (@ho-elim-sort (-> tptp.real tptp.real Bool)) tptp.real (@ho-elim-sort (-> tptp.real Bool))))) % 151.00/151.42 (define @t431 () (@const 7 (-> (@ho-elim-sort (-> tptp.real Bool)) tptp.real Bool))) % 151.00/151.42 (define @t432 () (_ @t431 (_ @t430 @t429 (_ @t425 @t424 @t1)) (_ @t428 (_ @t427 @t426 (_ @t425 @t424 @t3)) @t2))) % 151.00/151.42 (define @t433 () (@const 8 (@ho-elim-sort (-> tptp.int tptp.nat tptp.int)))) % 151.00/151.42 (define @t434 () (@const 9 (-> (@ho-elim-sort (-> tptp.int tptp.nat tptp.int)) tptp.int (@ho-elim-sort (-> tptp.nat tptp.int))))) % 151.00/151.42 (define @t435 () (@const 10 (-> (@ho-elim-sort (-> tptp.nat tptp.int)) tptp.nat tptp.int))) % 151.00/151.42 (define @t436 () (@const 11 (@ho-elim-sort (-> tptp.int tptp.int Bool)))) % 151.00/151.42 (define @t437 () (@const 12 (-> (@ho-elim-sort (-> tptp.int tptp.int Bool)) tptp.int (@ho-elim-sort (-> tptp.int Bool))))) % 151.00/151.42 (define @t438 () (@const 13 (-> (@ho-elim-sort (-> tptp.int Bool)) tptp.int Bool))) % 151.00/151.42 (define @t439 () (_ @t438 (_ @t437 @t436 @t1) (_ @t435 (_ @t434 @t433 @t3) @t2))) % 151.00/151.42 (define @t440 () (forall @t17 (= @t432 @t439))) % 151.00/151.42 (define @t441 () (tptp.power_power_int @t3 @t2)) % 151.00/151.42 (define @t442 () (tptp.ord_less_int @t1 @t441)) % 151.00/151.42 (define @t443 () (tptp.ring_1_of_int_real @t3)) % 151.00/151.42 (define @t444 () (tptp.power_power_real @t443 @t2)) % 151.00/151.42 (define @t445 () (tptp.ring_1_of_int_real @t1)) % 151.00/151.42 (define @t446 () (tptp.ord_less_real @t445 @t444)) % 151.00/151.42 (define @t447 () (_ (@const 15 (-> (@ho-elim-sort (-> tptp.nat tptp.nat)) tptp.nat tptp.nat)) (@const 14 (@ho-elim-sort (-> tptp.nat tptp.nat))) tptp.pm)) % 151.00/151.42 (define @t448 () (_ @t438 (_ @t437 @t436 tptp.na) (_ @t435 (_ @t434 @t433 tptp.ya) @t447))) % 151.00/151.42 (define @t449 () (_ @t431 (_ @t430 @t429 (_ @t425 @t424 tptp.na)) (_ @t428 (_ @t427 @t426 (_ @t425 @t424 tptp.ya)) @t447))) % 151.00/151.42 (define @t450 () (= @t448 @t449)) % 151.00/151.42 (define @t451 () (not @t450)) % 151.00/151.42 (define @t452 () (@list true false)) % 151.00/151.42 (define @t453 () (forall @t17 (= @t439 @t432))) % 151.00/151.42 (assume @p1 (not (= tptp.na tptp.zero_zero_int))) % 151.00/151.42 (assume @p2 (forall @t10 (= (_ (_ tptp.ord_less_real @t9) @t7) @t6))) % 151.00/151.42 (assume @p3 (forall @t10 (= (_ (_ tptp.ord_less_int @t12) @t11) @t6))) % 151.00/151.42 (assume @p4 @t18) % 151.00/151.42 (assume @p5 (forall @t17 (= (_ (_ tptp.ord_less_int @t11) @t12) @t14))) % 151.00/151.42 (assume @p6 (forall @t23 (= (_ tptp.ring_1_of_int_real @t22) (_ (_ tptp.power_power_real @t21) @t19)))) % 151.00/151.42 (assume @p7 (forall @t23 (= (_ tptp.ring_1_of_int_int @t22) (_ (_ tptp.power_power_int @t24) @t19)))) % 151.00/151.42 (assume @p8 (forall @t10 (= (= @t9 @t7) @t25))) % 151.00/151.42 (assume @p9 (forall @t10 (= (= @t12 @t11) @t25))) % 151.00/151.42 (assume @p10 (forall @t17 (= (= @t7 @t9) @t26))) % 151.00/151.42 (assume @p11 (forall @t17 (= (= @t11 @t12) @t26))) % 151.00/151.42 (assume @p12 (forall @t30 (= (_ (_ tptp.ord_less_real @t29) @t21) @t28))) % 151.00/151.42 (assume @p13 (forall @t30 (= (_ (_ tptp.ord_less_int @t31) @t24) @t28))) % 151.00/151.42 (assume @p14 (_ @t33 @t32)) % 151.00/151.42 (assume @p15 (_ @t33 @t34)) % 151.00/151.42 (assume @p16 (forall @t30 (= (= @t31 @t24) @t35))) % 151.00/151.42 (assume @p17 (forall @t30 (= (= @t29 @t21) @t35))) % 151.00/151.42 (assume @p18 (forall (@list @t37 @t36) (= (= @t38 (_ tptp.suc @t36)) (= @t37 @t36)))) % 151.00/151.42 (assume @p19 (forall (@list @t40 @t39) (= (= (_ tptp.suc @t40) @t41) (= @t40 @t39)))) % 151.00/151.42 (assume @p20 (not @t42)) % 151.00/151.42 (assume @p21 (or (_ @t43 tptp.ya) @t42)) % 151.00/151.42 (assume @p22 (forall @t51 (= @t50 @t46))) % 151.00/151.42 (assume @p23 (forall @t51 (=> @t46 @t50))) % 151.00/151.42 (assume @p24 (forall @t53 (_ @t52 @t47))) % 151.00/151.42 (assume @p25 (not (or (_ (_ tptp.ord_less_int tptp.ya) tptp.zero_zero_int) (_ @t54 tptp.zero_zero_int)))) % 151.00/151.42 (assume @p26 (_ @t55 tptp.ya)) % 151.00/151.42 (assume @p27 (_ @t55 tptp.na)) % 151.00/151.42 (assume @p28 (= (_ tptp.ring_1_of_int_real tptp.zero_zero_int) tptp.zero_zero_real)) % 151.00/151.42 (assume @p29 (= (_ tptp.ring_1_of_int_int tptp.zero_zero_int) tptp.zero_zero_int)) % 151.00/151.42 (assume @p30 (forall @t57 (= (= tptp.zero_zero_real @t21) @t56))) % 151.00/151.42 (assume @p31 (forall @t57 (= (= tptp.zero_zero_int @t24) @t56))) % 151.00/151.42 (assume @p32 (forall @t57 (= (= @t21 tptp.zero_zero_real) @t56))) % 151.00/151.42 (assume @p33 (forall @t57 (= (= @t24 tptp.zero_zero_int) @t56))) % 151.00/151.42 (assume @p34 (forall @t57 (= (_ (_ tptp.ord_less_real @t21) tptp.zero_zero_real) @t58))) % 151.00/151.42 (assume @p35 (forall @t57 (= (_ (_ tptp.ord_less_int @t24) tptp.zero_zero_int) @t58))) % 151.00/151.42 (assume @p36 (forall @t57 (= @t60 @t59))) % 151.00/151.42 (assume @p37 (forall @t57 (= @t61 @t59))) % 151.00/151.42 (assume @p38 (not (_ @t43 tptp.zero_zero_int))) % 151.00/151.42 (assume @p39 (forall @t66 (=> @t65 @t63))) % 151.00/151.42 (assume @p40 (forall @t78 (=> @t77 (=> (forall @t75 (=> (= @t73 @t72) @t71)) (=> (forall @t75 (=> (_ @t74 @t73) (=> (_ @t68 @t72) @t71))) @t69))))) % 151.00/151.42 (assume @p41 (forall (@list @t67 @t73 @t79) (=> @t77 (=> (forall @t75 (_ @t81 @t72)) (=> (forall (@list @t70 @t82 @t80) (=> @t83 (=> (_ (_ tptp.ord_less_nat @t82) @t80) (=> (_ @t81 @t82) (=> (_ (_ @t79 @t82) @t80) (_ @t81 @t80)))))) (_ (_ @t79 @t67) @t73)))))) % 151.00/151.42 (assume @p42 (forall @t87 (=> @t77 (=> (_ (_ tptp.ord_less_nat @t73) @t84) @t86)))) % 151.00/151.42 (assume @p43 (forall @t51 (=> @t50 @t46))) % 151.00/151.42 (assume @p44 (forall @t66 (=> @t65 (=> @t62 @t88)))) % 151.00/151.42 (assume @p45 (forall @t66 (= (_ (_ tptp.ord_less_nat @t47) @t44) (exists (@list @t89) (and (= @t44 (_ tptp.suc @t89)) (_ @t52 @t89)))))) % 151.00/151.42 (assume @p46 (forall @t98 (= @t97 (and @t95 (forall @t94 (=> @t93 @t91)))))) % 151.00/151.42 (assume @p47 (forall @t51 (= @t99 @t62))) % 151.00/151.42 (assume @p48 (forall @t51 (= @t101 @t100))) % 151.00/151.42 (assume @p49 (forall @t98 (= @t102 (or @t95 (exists @t94 (and @t93 @t91)))))) % 151.00/151.42 (assume @p50 (forall @t51 (=> @t46 @t101))) % 151.00/151.42 (assume @p51 (forall @t51 (=> @t101 (=> @t99 @t88)))) % 151.00/151.42 (assume @p52 (forall @t51 (=> @t46 (=> (not (= @t48 @t19)) @t103)))) % 151.00/151.42 (assume @p53 (forall @t105 (=> @t86 @t104))) % 151.00/151.42 (assume @p54 (forall @t51 (=> @t103 @t46))) % 151.00/151.42 (assume @p55 (forall @t105 (=> (_ @t76 @t84) (=> (not (= @t84 @t85)) @t104)))) % 151.00/151.42 (assume @p56 (forall @t57 (=> @t59 @t60))) % 151.00/151.42 (assume @p57 (forall @t57 (=> @t59 @t61))) % 151.00/151.42 (assume @p58 (forall @t53 (not (= @t19 @t47)))) % 151.00/151.42 (assume @p59 (forall @t109 (=> (= (_ tptp.suc @t107) (_ tptp.suc @t106)) @t108))) % 151.00/151.42 (assume @p60 (forall (@list @t110 @t19 @t44) (=> @t118 (= (_ @t112 (_ @t110 @t44)) @t64)))) % 151.00/151.42 (assume @p61 (forall (@list @t119 @t19 @t44) (=> @t124 (= (_ @t121 (_ @t119 @t44)) @t64)))) % 151.00/151.42 (assume @p62 (forall (@list @t125 @t19 @t44) (=> @t130 (= (_ @t127 (_ @t125 @t44)) @t64)))) % 151.00/151.42 (assume @p63 (forall @t134 (=> @t118 (=> @t133 (_ @t112 @t132))))) % 151.00/151.42 (assume @p64 (forall @t136 (=> @t124 (=> @t133 (_ @t121 @t135))))) % 151.00/151.42 (assume @p65 (forall @t138 (=> @t130 (=> @t133 (_ @t127 @t137))))) % 151.00/151.42 (assume @p66 (forall @t53 (= (_ @t139 @t47) tptp.zero_zero_real))) % 151.00/151.42 (assume @p67 (forall @t53 (= (_ @t140 @t47) tptp.zero_zero_int))) % 151.00/151.42 (assume @p68 (forall @t53 (= (_ @t141 @t47) tptp.zero_zero_nat))) % 151.00/151.42 (assume @p69 (_ @t33 tptp.ny)) % 151.00/151.42 (assume @p70 (forall @t149 (= @t148 (and @t145 @t143)))) % 151.00/151.42 (assume @p71 (forall @t155 (= @t154 (and @t151 @t143)))) % 151.00/151.42 (assume @p72 (forall @t161 (= @t160 (and @t157 @t143)))) % 151.00/151.42 (assume @p73 (forall @t53 (= (not @t143) @t162))) % 151.00/151.42 (assume @p74 (forall @t149 (=> @t167 (exists @t166 (and @t165 (= (_ @t164 @t47) @t144)))))) % 151.00/151.42 (assume @p75 (forall @t149 (=> @t167 (_ @t33 @t147)))) % 151.00/151.42 (assume @p76 (forall @t155 (=> @t168 (_ @t43 @t153)))) % 151.00/151.42 (assume @p77 (forall @t161 (=> @t169 (_ @t142 @t159)))) % 151.00/151.42 (assume @p78 (= tptp.ny (_ (_ tptp.divide_divide_real @t32) (_ @t170 tptp.pm)))) % 151.00/151.42 (assume @p79 (forall @t175 (exists @t174 (_ (_ tptp.ord_less_real @t173) @t171)))) % 151.00/151.42 (assume @p80 (forall @t175 (exists @t174 (_ @t176 @t173)))) % 151.00/151.42 (assume @p81 (_ @t54 @t178)) % 151.00/151.42 (assume @p82 (not (= tptp.pm tptp.zero_zero_nat))) % 151.00/151.42 (assume @p83 (not (= tptp.p tptp.zero_zero_nat))) % 151.00/151.42 (assume @p84 (_ @t142 tptp.pm)) % 151.00/151.42 (assume @p85 (_ (_ tptp.ord_less_eq_int tptp.na) @t178)) % 151.00/151.42 (assume @p86 (= tptp.p @t179)) % 151.00/151.42 (assume @p87 (_ (_ tptp.nthRoo1352626670d_root tptp.p) tptp.pm)) % 151.00/151.42 (assume @p88 (forall @t53 (= (_ @t180 tptp.zero_zero_nat) @t162))) % 151.00/151.42 (assume @p89 (forall (@list @t107 @t44) (= (= (_ @t183 @t44) @t181) (or @t182 (= @t107 @t181))))) % 151.00/151.42 (assume @p90 (forall @t53 (= (_ (_ tptp.power_power_nat @t181) @t19) @t181))) % 151.00/151.42 (assume @p91 (forall @t53 (= @t184 @t143))) % 151.00/151.42 (assume @p92 (forall @t53 (not (_ @t52 tptp.zero_zero_nat)))) % 151.00/151.42 (assume @p93 (forall @t186 (= @t185 @t169))) % 151.00/151.42 (assume @p94 (forall (@list @t107 @t19) (= (_ @t142 (_ @t183 @t19)) (or (_ @t142 @t107) @t162)))) % 151.00/151.42 (assume @p95 (forall @t187 (= (_ @t146 @t181) @t144))) % 151.00/151.42 (assume @p96 (forall @t188 (= (_ @t152 @t181) @t150))) % 151.00/151.42 (assume @p97 (forall @t186 (= (_ @t158 @t181) @t156))) % 151.00/151.42 (assume @p98 (forall @t53 (_ @t142 @t47))) % 151.00/151.42 (assume @p99 (forall @t53 (= (_ @t52 @t181) @t162))) % 151.00/151.42 (assume @p100 (forall @t30 (= (_ (_ tptp.ord_less_eq_real @t29) @t21) @t189))) % 151.00/151.42 (assume @p101 (forall @t30 (= (_ (_ tptp.ord_less_eq_int @t31) @t24) @t189))) % 151.00/151.42 (assume @p102 (forall @t199 (=> @t198 (=> @t197 (=> @t143 (= @t195 @t192)))))) % 151.00/151.42 (assume @p103 (forall @t206 (=> @t205 (=> @t204 (=> @t143 (= @t203 @t201)))))) % 151.00/151.42 (assume @p104 (forall @t216 (=> @t215 (=> @t214 (=> @t143 (= @t212 @t209)))))) % 151.00/151.42 (assume @p105 (forall @t57 (= (_ (_ tptp.ord_less_eq_real @t21) tptp.zero_zero_real) @t217))) % 151.00/151.42 (assume @p106 (forall @t57 (= (_ (_ tptp.ord_less_eq_int @t24) tptp.zero_zero_int) @t217))) % 151.00/151.42 (assume @p107 (forall @t57 (= @t219 @t218))) % 151.00/151.42 (assume @p108 (forall @t57 (= @t220 @t218))) % 151.00/151.42 (assume @p109 (forall @t10 (= (_ (_ tptp.ord_less_eq_real @t9) @t7) @t221))) % 151.00/151.42 (assume @p110 (forall @t10 (= (_ (_ tptp.ord_less_eq_int @t12) @t11) @t221))) % 151.00/151.42 (assume @p111 (forall @t17 (= (_ (_ tptp.ord_less_eq_real @t7) @t9) @t223))) % 151.00/151.42 (assume @p112 (forall @t17 (= (_ (_ tptp.ord_less_eq_int @t11) @t12) @t223))) % 151.00/151.42 (assume @p113 (forall @t53 (=> @t184 @t143))) % 151.00/151.42 (assume @p114 (forall @t51 (= @t224 (or @t46 @t64)))) % 151.00/151.42 (assume @p115 (forall @t53 (not (_ @t52 @t19)))) % 151.00/151.42 (assume @p116 (forall @t66 (=> @t64 @t224))) % 151.00/151.42 (assume @p117 (forall (@list @t226 @t225) (=> (_ (_ tptp.ord_less_nat @t226) @t225) (not (= @t226 @t225))))) % 151.00/151.42 (assume @p118 (forall @t51 (=> @t46 @t184))) % 151.00/151.42 (assume @p119 (forall @t232 (=> (forall @t117 (=> (forall @t231 (=> @t230 @t229)) @t227)) @t95))) % 151.00/151.42 (assume @p120 (forall @t232 (=> (forall @t117 @t234) @t95))) % 151.00/151.42 (assume @p121 (forall @t232 (=> @t235 (=> (forall @t117 (=> (_ @t142 @t113) @t234)) @t95)))) % 151.00/151.42 (assume @p122 (forall @t109 (=> (not @t108) (=> (not (_ (_ tptp.ord_less_nat @t107) @t106)) (_ (_ tptp.ord_less_nat @t106) @t107))))) % 151.00/151.42 (assume @p123 (forall @t186 (not (_ @t236 tptp.zero_zero_nat)))) % 151.00/151.42 (assume @p124 (forall (@list @t67 @t44 @t19) (=> (_ @t142 @t67) (=> (_ (_ tptp.ord_less_nat (_ @t237 @t44)) @t238) @t46)))) % 151.00/151.42 (assume @p125 (forall @t134 (=> (forall @t117 (_ (_ tptp.ord_less_eq_real @t115) @t116)) (=> @t239 (_ (_ tptp.ord_less_eq_real @t132) @t111))))) % 151.00/151.42 (assume @p126 (forall @t136 (=> (forall @t117 (_ (_ tptp.ord_less_eq_int @t122) @t123)) (=> @t239 (_ (_ tptp.ord_less_eq_int @t135) @t120))))) % 151.00/151.42 (assume @p127 (forall @t138 (=> (forall @t117 (_ (_ tptp.ord_less_eq_nat @t128) @t129)) (=> @t239 (_ (_ tptp.ord_less_eq_nat @t137) @t126))))) % 151.00/151.42 (assume @p128 (forall @t134 (=> (forall @t117 (_ (_ tptp.ord_less_eq_real @t116) @t115)) (=> @t239 (_ (_ tptp.ord_less_eq_real @t111) @t132))))) % 151.00/151.42 (assume @p129 (forall @t136 (=> (forall @t117 (_ (_ tptp.ord_less_eq_int @t123) @t122)) (=> @t239 (_ (_ tptp.ord_less_eq_int @t120) @t135))))) % 151.00/151.42 (assume @p130 (forall @t138 (=> (forall @t117 (_ (_ tptp.ord_less_eq_nat @t129) @t128)) (=> @t239 (_ (_ tptp.ord_less_eq_nat @t126) @t137))))) % 151.00/151.42 (assume @p131 (forall @t240 (_ @t213 @t107))) % 151.00/151.42 (assume @p132 (forall @t199 (= (_ (_ tptp.power_power_real @t242) @t19) (_ (_ tptp.divide_divide_real @t147) @t194)))) % 151.00/151.42 (assume @p133 (forall @t175 (exists @t174 (_ @t243 @t173)))) % 151.00/151.42 (assume @p134 (forall (@list @t68) (=> @t246 (=> (exists (@list @t245) (_ @t68 @t245)) (exists @t117 (and @t233 @t244)))))) % 151.00/151.42 (assume @p135 (forall (@list @t19 @t84) (=> (_ (_ tptp.ord_less_nat @t181) @t19) (_ (_ tptp.ord_less_nat @t84) (_ (_ tptp.power_power_nat @t19) @t84))))) % 151.00/151.42 (assume @p136 (_ @t55 tptp.zero_zero_int)) % 151.00/151.42 (assume @p137 (forall (@list @t37) (not (= tptp.zero_zero_nat @t38)))) % 151.00/151.42 (assume @p138 (forall @t247 (not (= @t41 tptp.zero_zero_nat)))) % 151.00/151.42 (assume @p139 (forall @t247 (not (= tptp.zero_zero_nat @t41)))) % 151.00/151.42 (assume @p140 (forall (@list @t40 @t37) (=> (= @t40 @t38) (not (= @t40 tptp.zero_zero_nat))))) % 151.00/151.42 (assume @p141 (forall @t232 (=> @t235 (=> (forall @t117 @t248) @t95)))) % 151.00/151.42 (assume @p142 (forall (@list @t79 @t44 @t19) (=> (forall @t254 (_ @t252 tptp.zero_zero_nat)) (=> (forall @t253 (_ (_ @t79 tptp.zero_zero_nat) @t250)) (=> (forall (@list @t251 @t249) (=> (_ @t252 @t249) (_ (_ @t79 (_ tptp.suc @t251)) @t250))) (_ (_ @t79 @t44) @t19)))))) % 151.00/151.42 (assume @p143 (forall (@list @t68 @t84) (=> @t256 (=> (forall @t117 @t255) @t235)))) % 151.00/151.42 (assume @p144 (forall @t257 (not (= @t48 tptp.zero_zero_nat)))) % 151.00/151.42 (assume @p145 (forall @t257 (not (= tptp.zero_zero_nat @t48)))) % 151.00/151.42 (assume @p146 (forall (@list @t106) (=> (not (= @t106 tptp.zero_zero_nat)) (not (forall @t260 (not (= @t106 @t259))))))) % 151.00/151.42 (assume @p147 (forall (@list @t68 @t40) (=> @t235 (=> (forall @t260 (=> (_ @t68 @t258) (_ @t68 @t259))) (_ @t68 @t40))))) % 151.00/151.42 (assume @p148 (forall @t53 (=> @t184 @t264))) % 151.00/151.42 (assume @p149 (forall @t51 (= @t101 (or @t182 (exists (@list @t265) (and (= @t44 (_ tptp.suc @t265)) (_ (_ tptp.ord_less_nat @t265) @t19))))))) % 151.00/151.42 (assume @p150 (forall @t53 (=> @t143 @t264))) % 151.00/151.42 (assume @p151 (forall @t98 (= @t97 (and @t235 (forall @t94 (=> @t93 @t266)))))) % 151.00/151.42 (assume @p152 (forall @t53 (= @t143 (exists (@list @t267) (= @t19 (_ tptp.suc @t267)))))) % 151.00/151.42 (assume @p153 (forall @t98 (= @t102 (or @t235 (exists @t94 (and @t93 @t266)))))) % 151.00/151.42 (assume @p154 (forall @t270 (=> @t269 (=> @t198 (=> @t197 (=> @t143 @t268)))))) % 151.00/151.42 (assume @p155 (forall @t273 (=> @t272 (=> @t205 (=> @t204 (=> @t143 @t271)))))) % 151.00/151.42 (assume @p156 (forall @t276 (=> @t275 (=> @t215 (=> @t214 (=> @t143 @t274)))))) % 151.00/151.42 (assume @p157 (forall (@list @t19 @t144 @t190) (=> @t143 (=> @t198 (=> @t197 (= @t269 @t268)))))) % 151.00/151.42 (assume @p158 (forall (@list @t19 @t150 @t3) (=> @t143 (=> @t205 (=> @t204 (= @t272 @t271)))))) % 151.00/151.42 (assume @p159 (forall (@list @t19 @t156 @t207) (=> @t143 (=> @t215 (=> @t214 (= @t275 @t274)))))) % 151.00/151.42 (assume @p160 (forall @t149 (=> @t198 (_ @t196 @t147)))) % 151.00/151.42 (assume @p161 (forall @t155 (=> @t205 (_ @t55 @t153)))) % 151.00/151.42 (assume @p162 (forall @t161 (=> @t215 (_ @t213 @t159)))) % 151.00/151.42 (assume @p163 (forall @t199 (=> @t192 (=> @t198 @t195)))) % 151.00/151.42 (assume @p164 (forall @t206 (=> @t201 (=> @t205 @t203)))) % 151.00/151.42 (assume @p165 (forall @t216 (=> @t209 (=> @t215 @t212)))) % 151.00/151.42 (assume @p166 (forall @t57 (=> @t218 @t219))) % 151.00/151.42 (assume @p167 (forall @t57 (=> @t218 @t220))) % 151.00/151.42 (assume @p168 (forall @t270 (=> @t279 (=> @t197 @t278)))) % 151.00/151.42 (assume @p169 (forall @t273 (=> @t282 (=> @t204 @t281)))) % 151.00/151.42 (assume @p170 (forall @t276 (=> @t284 (=> @t214 @t283)))) % 151.00/151.42 (assume @p171 (forall @t199 (=> @t278 (=> @t198 (=> @t143 @t279))))) % 151.00/151.42 (assume @p172 (forall @t206 (=> @t281 (=> @t205 (=> @t143 @t282))))) % 151.00/151.42 (assume @p173 (forall @t216 (=> @t283 (=> @t215 (=> @t143 @t284))))) % 151.00/151.42 (assume @p174 (forall @t270 (=> (= @t286 @t285) (=> @t198 (=> @t197 @t268))))) % 151.00/151.42 (assume @p175 (forall @t273 (=> (= @t288 @t287) (=> @t205 (=> @t204 @t271))))) % 151.00/151.42 (assume @p176 (forall @t276 (=> (= @t290 @t289) (=> @t215 (=> @t214 @t274))))) % 151.00/151.42 (assume @p177 (forall @t270 (=> (_ (_ tptp.ord_less_eq_real @t286) @t285) (=> @t197 @t192)))) % 151.00/151.42 (assume @p178 (forall @t273 (=> (_ (_ tptp.ord_less_eq_int @t288) @t287) (=> @t204 @t201)))) % 151.00/151.42 (assume @p179 (forall @t276 (=> (_ (_ tptp.ord_less_eq_nat @t290) @t289) (=> @t214 @t209)))) % 151.00/151.42 (assume @p180 (forall @t291 (=> @t143 (=> @t167 (exists @t166 (and @t165 (= (_ @t164 @t19) @t144))))))) % 151.00/151.42 (assume @p181 (forall @t291 (=> @t143 (=> @t167 (exists (@list @t292) (and (_ @t33 @t292) (= (_ (_ tptp.power_power_real @t292) @t19) @t144) (forall (@list @t293) (=> (and (_ @t33 @t293) (= (_ (_ tptp.power_power_real @t293) @t19) @t144)) (= @t293 @t292))))))))) % 151.00/151.42 (assume @p182 (forall (@list @t1) (= (= tptp.zero_zero_int @t1) (= @t1 tptp.zero_zero_int)))) % 151.00/151.42 (assume @p183 (forall @t175 (= (= tptp.zero_zero_real @t171) (= @t171 tptp.zero_zero_real)))) % 151.00/151.42 (assume @p184 (forall @t240 (= (= tptp.zero_zero_nat @t107) (= @t107 tptp.zero_zero_nat)))) % 151.00/151.42 (assume @p185 (forall @t53 (= @t143 @t184))) % 151.00/151.42 (assume @p186 (forall @t149 (=> (not @t145) (not @t148)))) % 151.00/151.42 (assume @p187 (forall @t155 (=> (not @t151) (not @t154)))) % 151.00/151.42 (assume @p188 (forall @t161 (=> @t185 (not @t160)))) % 151.00/151.42 (assume @p189 (forall @t53 (=> @t143 (= (_ @t139 @t19) tptp.zero_zero_real)))) % 151.00/151.42 (assume @p190 (forall @t53 (=> @t143 (= (_ @t140 @t19) tptp.zero_zero_int)))) % 151.00/151.42 (assume @p191 (forall @t53 (=> @t143 (= (_ @t141 @t19) tptp.zero_zero_nat)))) % 151.00/151.42 (assume @p192 (_ (_ tptp.ord_less_int (_ (_ tptp.power_power_int tptp.y) tptp.p)) tptp.na)) % 151.00/151.42 (assume @p193 (_ @t55 tptp.y)) % 151.00/151.42 (assume @p194 (forall @t302 (=> @t301 (=> @t300 (=> @t299 (= (_ (_ tptp.ord_less_real @t298) @t297) @t295)))))) % 151.00/151.42 (assume @p195 (forall @t309 (=> @t301 (=> @t308 (=> @t307 (= (_ (_ tptp.ord_less_int @t306) @t305) @t304)))))) % 151.00/151.42 (assume @p196 (forall @t302 (=> @t301 (=> @t300 (=> @t299 (= (_ (_ tptp.ord_less_eq_real @t298) @t297) @t310)))))) % 151.00/151.42 (assume @p197 (forall @t309 (=> @t301 (=> @t308 (=> @t307 (= (_ (_ tptp.ord_less_eq_int @t306) @t305) (_ @t222 @t303))))))) % 151.00/151.42 (assume @p198 (forall @t187 (= (_ @t241 tptp.zero_zero_real) tptp.zero_zero_real))) % 151.00/151.42 (assume @p199 (forall @t188 (= (_ @t311 tptp.zero_zero_int) tptp.zero_zero_int))) % 151.00/151.42 (assume @p200 (forall @t186 (= (_ @t312 tptp.zero_zero_nat) tptp.zero_zero_nat))) % 151.00/151.42 (assume @p201 (forall @t318 (= (= @t317 @t316) @t315))) % 151.00/151.42 (assume @p202 (forall @t319 (= (= @t242 tptp.zero_zero_real) (or @t145 (= @t190 tptp.zero_zero_real))))) % 151.00/151.42 (assume @p203 (forall (@list @t313 @t144 @t190) (= (= (_ @t320 @t144) (_ @t320 @t190)) @t315))) % 151.00/151.42 (assume @p204 (forall @t188 (= (_ (_ tptp.divide_divide_int tptp.zero_zero_int) @t150) tptp.zero_zero_int))) % 151.00/151.42 (assume @p205 (forall @t186 (= (_ (_ tptp.divide_divide_nat tptp.zero_zero_nat) @t156) tptp.zero_zero_nat))) % 151.00/151.42 (assume @p206 (forall @t186 @t215)) % 151.00/151.42 (assume @p207 (forall @t53 (_ @t213 @t19))) % 151.00/151.42 (assume @p208 (forall @t66 (= (_ @t322 @t48) @t321))) % 151.00/151.42 (assume @p209 (forall @t53 (_ @t180 @t19))) % 151.00/151.42 (assume @p210 (forall @t87 (=> @t324 (=> (_ (_ tptp.ord_less_eq_nat @t73) @t84) (_ @t323 @t84))))) % 151.00/151.42 (assume @p211 (forall @t51 (=> @t88 @t326))) % 151.00/151.42 (assume @p212 (forall @t51 (=> @t326 (=> @t321 @t88)))) % 151.00/151.42 (assume @p213 (forall @t51 (or @t326 @t321))) % 151.00/151.42 (assume @p214 (forall (@list @t68 @t84 @t207) (=> @t256 (=> (forall @t253 (=> (_ @t68 @t249) (_ (_ tptp.ord_less_eq_nat @t249) @t207))) (exists @t254 (and (_ @t68 @t251) (forall (@list @t327) (=> (_ @t68 @t327) (_ (_ tptp.ord_less_eq_nat @t327) @t251))))))))) % 151.00/151.42 (assume @p215 (forall @t186 (=> @t328 @t157))) % 151.00/151.42 (assume @p216 (forall @t186 (= @t328 @t157))) % 151.00/151.42 (assume @p217 (forall (@list @t44 @t19 @t329) (=> @t326 (=> (forall @t254 (_ @t331 @t251)) (=> (forall (@list @t251 @t249 @t330) (=> (_ @t331 @t249) (=> (_ (_ @t329 @t249) @t330) (_ @t331 @t330)))) (=> (forall @t117 (_ (_ @t329 @t113) @t114)) (_ (_ @t329 @t44) @t19))))))) % 151.00/151.42 (assume @p218 (forall (@list @t44 @t19 @t68) (=> @t326 (=> (_ @t68 @t44) (=> (forall @t117 (=> (_ @t325 @t113) @t248)) @t95))))) % 151.00/151.42 (assume @p219 (forall @t232 (=> (forall @t117 (=> (forall @t231 (=> (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t228)) @t113) @t229)) @t227)) @t95))) % 151.00/151.42 (assume @p220 (forall @t51 (= @t332 (_ @t322 @t44)))) % 151.00/151.42 (assume @p221 (forall @t53 (not (_ @t322 @t19)))) % 151.00/151.42 (assume @p222 (forall @t51 (= @t334 (or @t326 @t333)))) % 151.00/151.42 (assume @p223 (forall (@list @t19 @t335) (=> (_ @t322 @t335) (exists @t263 (= @t335 @t262))))) % 151.00/151.42 (assume @p224 (forall @t51 (=> @t326 @t334))) % 151.00/151.42 (assume @p225 (forall @t51 (=> @t334 (=> @t332 @t333)))) % 151.00/151.42 (assume @p226 (forall @t51 (=> @t336 @t326))) % 151.00/151.42 (assume @p227 (forall (@list @t125 @t67 @t73) (=> (forall (@list @t70 @t82) (=> @t83 (_ (_ tptp.ord_less_nat (_ @t125 @t70)) (_ @t125 @t82)))) (=> @t324 (_ (_ tptp.ord_less_eq_nat (_ @t125 @t67)) (_ @t125 @t73)))))) % 151.00/151.42 (assume @p228 (forall @t51 (=> @t326 (=> @t224 @t46)))) % 151.00/151.42 (assume @p229 (forall @t51 (=> @t100 @t326))) % 151.00/151.42 (assume @p230 (forall @t51 (=> @t46 @t326))) % 151.00/151.42 (assume @p231 (= tptp.ord_less_nat (lambda @t339 (and (_ (_ tptp.ord_less_eq_nat @t267) @t337) (not @t338))))) % 151.00/151.42 (assume @p232 (forall @t342 (=> @t341 (not (= @t296 tptp.zero_zero_nat))))) % 151.00/151.42 (assume @p233 (forall @t342 (=> @t343 @t341))) % 151.00/151.42 (assume @p234 (forall @t342 (=> @t341 @t343))) % 151.00/151.42 (assume @p235 (forall (@list @t67 @t19) (=> (_ @t344 @t67) (_ @t344 @t238)))) % 151.00/151.42 (assume @p236 (forall @t232 (=> @t95 (=> @t246 (exists @t348 (and (_ (_ tptp.ord_less_eq_nat @t80) @t19) (forall @t347 (=> (_ (_ tptp.ord_less_nat @t345) @t80) @t346)) (_ @t68 @t80))))))) % 151.00/151.42 (assume @p237 (forall @t51 (=> @t46 @t336))) % 151.00/151.42 (assume @p238 (forall @t51 (= @t336 @t46))) % 151.00/151.42 (assume @p239 (forall @t78 (=> @t324 (=> @t69 (=> (forall @t117 (=> @t351 (=> @t350 @t248))) @t349))))) % 151.00/151.42 (assume @p240 (forall @t78 (=> @t324 (=> @t349 (=> (forall @t117 (=> @t351 (=> @t350 @t255))) @t69))))) % 151.00/151.42 (assume @p241 (forall @t51 (=> @t336 @t46))) % 151.00/151.42 (assume @p242 (forall @t51 (=> @t326 @t63))) % 151.00/151.42 (assume @p243 (forall @t51 (= @t101 @t326))) % 151.00/151.42 (assume @p244 (= tptp.ord_less_nat (lambda (@list @t337 @t352) (_ (_ tptp.ord_less_eq_nat (_ tptp.suc @t337)) @t352)))) % 151.00/151.42 (assume @p245 (forall @t51 (=> @t326 @t101))) % 151.00/151.42 (assume @p246 (forall @t355 (exists (@list @t353) (_ (_ tptp.ord_less_real @t354) @t353)))) % 151.00/151.42 (assume @p247 (forall @t355 (exists (@list @t356) (_ (_ tptp.ord_less_real @t356) @t354)))) % 151.00/151.42 (assume @p248 (forall @t232 (=> @t95 (=> @t246 (exists @t348 (and (_ (_ tptp.ord_less_nat @t80) @t19) (forall @t347 (=> (_ (_ tptp.ord_less_eq_nat @t345) @t80) @t346)) (_ @t68 (_ tptp.suc @t80)))))))) % 151.00/151.42 (assume @p249 (forall @t357 (=> @t192 (=> (_ (_ tptp.ord_less_eq_real @t313) tptp.zero_zero_real) (_ (_ tptp.ord_less_eq_real @t316) @t317))))) % 151.00/151.42 (assume @p250 (forall @t363 (=> @t362 (=> @t361 @t360)))) % 151.00/151.42 (assume @p251 (forall @t363 (=> @t362 (=> @t299 @t364)))) % 151.00/151.42 (assume @p252 (forall @t363 (=> @t300 (=> @t361 @t364)))) % 151.00/151.42 (assume @p253 (forall @t363 (=> @t300 (=> @t299 @t360)))) % 151.00/151.42 (assume @p254 (forall @t319 (= (_ @t196 @t242) (or (and @t198 @t197) (and @t367 @t366))))) % 151.00/151.42 (assume @p255 (forall @t357 (=> @t192 (=> (_ @t196 @t313) @t368)))) % 151.00/151.42 (assume @p256 (forall @t319 (= (_ (_ tptp.ord_less_eq_real @t242) tptp.zero_zero_real) (or (and @t198 @t366) (and @t367 @t197))))) % 151.00/151.42 (assume @p257 (forall @t363 (=> @t372 (=> @t371 @t369)))) % 151.00/151.42 (assume @p258 (forall @t363 (=> @t372 (=> @t374 @t373)))) % 151.00/151.42 (assume @p259 (forall @t363 (=> @t375 (=> @t371 @t373)))) % 151.00/151.42 (assume @p260 (forall @t363 (=> @t375 (=> @t374 @t369)))) % 151.00/151.42 (assume @p261 (forall @t319 (= (_ (_ tptp.ord_less_real @t242) tptp.zero_zero_real) (or (and @t167 @t379) (and @t377 @t376))))) % 151.00/151.42 (assume @p262 (forall @t318 (= @t383 (and (=> @t382 @t278) (=> @t381 @t380) (not @t314))))) % 151.00/151.42 (assume @p263 (forall @t319 (= (_ @t33 @t242) (or (and @t167 @t376) (and @t377 @t379))))) % 151.00/151.42 (assume @p264 (forall @t357 (=> @t278 (=> @t382 @t383)))) % 151.00/151.42 (assume @p265 (forall (@list @t190 @t144 @t313) (=> @t380 (=> @t381 @t383)))) % 151.00/151.42 (assume @p266 (forall (@list @t294 @t171 @t384 @t386) (=> @t299 (=> @t310 (=> @t389 (=> @t388 (_ (_ tptp.ord_less_eq_real @t387) @t385))))))) % 151.00/151.42 (assume @p267 (forall @t391 (=> @t300 (=> @t295 (=> @t389 (=> @t388 @t390)))))) % 151.00/151.42 (assume @p268 (forall @t391 (=> @t375 (=> @t310 (=> @t389 (=> (_ (_ tptp.ord_less_real @t384) @t386) @t390)))))) % 151.00/151.42 (assume @p269 (forall @t318 (= @t368 (and (=> @t382 @t192) (=> @t381 (_ @t365 @t144)))))) % 151.00/151.42 (assume @p270 (forall @t363 (=> @t300 (=> @t371 @t364)))) % 151.00/151.42 (assume @p271 (forall @t363 (=> @t300 (=> @t374 @t360)))) % 151.00/151.42 (assume @p272 (forall @t363 (=> @t362 (=> @t371 @t360)))) % 151.00/151.42 (assume @p273 (forall @t363 (=> @t362 (=> @t374 @t364)))) % 151.00/151.42 (assume @p274 (forall @t396 (=> (_ @t395 tptp.zero_zero_int) (=> (_ (_ tptp.ord_less_int @t392) @t393) @t394)))) % 151.00/151.42 (assume @p275 (forall @t396 (=> (_ @t55 @t393) (=> (_ (_ tptp.ord_less_int @t393) @t392) @t394)))) % 151.00/151.42 (assume @p276 (= tptp.x tptp.y)) % 151.00/151.42 (assume @p277 (forall @t257 (= (_ @t397 @t181) @t44))) % 151.00/151.42 (assume @p278 (forall @t51 (=> @t46 @t399))) % 151.00/151.42 (assume @p279 (forall @t400 (=> @t326 (_ (_ tptp.ord_less_eq_nat (_ @t397 @t84)) (_ (_ tptp.divide_divide_nat @t19) @t84))))) % 151.00/151.42 (assume @p280 (forall @t51 (_ @t401 @t44))) % 151.00/151.42 (assume @p281 (forall @t51 (= @t399 (or @t46 @t162)))) % 151.00/151.42 (assume @p282 (forall @t51 (_ @t401 (_ (_ tptp.divide_divide_nat @t48) @t19)))) % 151.00/151.42 (assume @p283 (forall @t51 (= (_ @t142 @t398) (and @t321 @t143)))) % 151.00/151.42 (assume @p284 (forall @t400 (=> (_ @t142 @t44) (=> @t326 (_ (_ tptp.ord_less_eq_nat (_ @t402 @t19)) (_ @t402 @t44)))))) % 151.00/151.42 (assume @p285 (forall @t187 (= (_ (_ tptp.divide_divide_real tptp.zero_zero_real) @t144) tptp.zero_zero_real))) % 151.00/151.42 (assume @p286 (forall @t363 (=> (not (= @t171 @t294)) (=> (not @t295) (_ @t370 @t171))))) % 151.00/151.42 (assume @p287 (forall (@list @t1 @t303) (=> (not (= @t1 @t303)) (=> (not @t304) (_ (_ tptp.ord_less_int @t303) @t1))))) % 151.00/151.42 (assume @p288 (forall (@list @t150 @t403 @t3) (=> (_ @t200 @t403) (=> @t406 (_ @t405 (_ (_ tptp.divide_divide_int @t403) @t3)))))) % 151.00/151.42 (assume @p289 (forall (@list @t150 @t407 @t3) (=> @t205 (=> (_ @t43 @t407) (=> (_ (_ tptp.ord_less_eq_int @t407) @t3) (_ @t405 (_ @t311 @t407))))))) % 151.00/151.42 (assume @p290 (forall @t410 (=> @t406 (= @t409 @t408)))) % 151.00/151.42 (assume @p291 (forall @t410 (=> @t411 (= @t409 @t168)))) % 151.00/151.42 (assume @p292 (forall @t412 (=> @t408 (=> @t406 @t409)))) % 151.00/151.42 (assume @p293 (forall @t410 (=> @t406 (=> @t414 @t413)))) % 151.00/151.42 (assume @p294 (forall (@list @t207 @t156) (=> (_ @t142 @t207) (=> (_ (_ tptp.ord_less_eq_nat @t207) @t156) (_ @t142 @t415))))) % 151.00/151.42 (assume @p295 (forall @t412 (=> @t205 (=> @t281 (= @t404 tptp.zero_zero_int))))) % 151.00/151.42 (assume @p296 (forall (@list @t156 @t207) (=> @t215 (=> @t283 (= @t415 tptp.zero_zero_nat))))) % 151.00/151.42 (assume @p297 (forall @t412 (=> @t205 (= @t413 (and @t414 @t406))))) % 151.00/151.42 (assume @p298 (forall @t410 (=> @t406 (= @t416 @t205)))) % 151.00/151.42 (assume @p299 (forall @t410 (=> @t411 (= @t416 @t417)))) % 151.00/151.42 (assume @p300 (forall (@list @t393 @t418) (=> (_ @t43 @t393) (= (_ @t43 (_ (_ tptp.divide_divide_int @t418) @t393)) (_ @t395 @t418))))) % 151.00/151.42 (assume @p301 (forall @t412 (=> @t417 (=> @t406 (_ @t405 tptp.zero_zero_int))))) % 151.00/151.42 (assume @p302 @t419) % 151.00/151.42 (assume @p303 true) % 151.00/151.42 (step @p304 (= tptp.ord_less_eq_nat @t420) :rule refl :args (@t420)) % 151.00/151.42 (step @p305 (= tptp.nthRoo1352626670d_root @t423) :rule refl :args (@t423)) % 151.00/151.42 (step @p306 :rule eq-symm :args (@t432 @t439)) % 151.00/151.42 (step @p307 :rule cong :premises (@p306) :args (@t440)) % 151.00/151.42 ; WARNING: add trust step for TRUST % 151.00/151.42 ; trust TRUST PREPROCESS_HO_ELIM % 151.00/151.42 (step @p308 :rule trust :premises () :args ((= (forall @t17 (= @t446 @t442)) @t440))) % 151.00/151.42 (step @p309 :rule refl :args ((tptp.ord_less_int @t1 @t5))) % 151.00/151.42 (step @p310 :rule refl :args (@t441)) % 151.00/151.42 (step @p311 :rule refl :args (@t1)) % 151.00/151.42 (step @p312 :rule cong :premises (@p311 @p310) :args (@t442)) % 151.00/151.42 (step @p313 :rule trans :premises (@p312 @p309)) % 151.00/151.42 (step @p314 :rule refl :args (@t13)) % 151.00/151.42 (step @p315 :rule ho_cong :premises (@p314 @p310)) % 151.00/151.42 (step @p316 :rule cong :premises (@p315 @p313) :args ((= (_ @t13 @t441) @t442))) % 151.00/151.42 (step @p317 :rule symm :premises (@p316)) % 151.00/151.42 (step @p318 :rule refl :args (@t14)) % 151.00/151.42 (step @p319 :rule eq_resolve :premises (@p318 @p317)) % 151.00/151.42 (step @p320 :rule refl :args (@t5)) % 151.00/151.42 (step @p321 :rule cong :premises (@p320 @p310) :args ((= @t5 @t441))) % 151.00/151.42 (step @p322 :rule symm :premises (@p321)) % 151.00/151.42 (step @p323 :rule eq_resolve :premises (@p320 @p322)) % 151.00/151.42 (step @p324 :rule ho_cong :premises (@p314 @p323)) % 151.00/151.42 (step @p325 :rule trans :premises (@p324 @p319)) % 151.00/151.42 (step @p326 :rule refl :args ((tptp.ord_less_real @t7 @t9))) % 151.00/151.42 (step @p327 :rule refl :args ((tptp.power_power_real @t8 @t2))) % 151.00/151.42 (step @p328 :rule refl :args (@t2)) % 151.00/151.42 (step @p329 :rule refl :args (@t443)) % 151.00/151.42 (step @p330 :rule cong :premises (@p329 @p328) :args (@t444)) % 151.00/151.42 (step @p331 :rule trans :premises (@p330 @p327)) % 151.00/151.42 (step @p332 :rule refl :args (@t445)) % 151.00/151.42 (step @p333 :rule cong :premises (@p332 @p331) :args (@t446)) % 151.00/151.42 (step @p334 :rule trans :premises (@p333 @p326)) % 151.00/151.42 (step @p335 :rule refl :args (tptp.ord_less_real)) % 151.00/151.42 (step @p336 :rule ho_cong :premises (@p335 @p332)) % 151.00/151.42 (step @p337 :rule ho_cong :premises (@p336 @p331)) % 151.00/151.42 (step @p338 :rule cong :premises (@p337 @p334) :args ((= (_ (_ tptp.ord_less_real @t445) @t444) @t446))) % 151.00/151.42 (step @p339 :rule symm :premises (@p338)) % 151.00/151.42 (step @p340 :rule refl :args (@t15)) % 151.00/151.42 (step @p341 :rule eq_resolve :premises (@p340 @p339)) % 151.00/151.42 (step @p342 :rule refl :args (tptp.power_power_real)) % 151.00/151.42 (step @p343 :rule ho_cong :premises (@p342 @p329)) % 151.00/151.42 (step @p344 :rule ho_cong :premises (@p343 @p328)) % 151.00/151.42 (step @p345 :rule cong :premises (@p344 @p331) :args ((= (_ (_ tptp.power_power_real @t443) @t2) @t444))) % 151.00/151.42 (step @p346 :rule symm :premises (@p345)) % 151.00/151.42 (step @p347 :rule refl :args (@t9)) % 151.00/151.42 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 151.00/151.42 (step @p349 :rule refl :args (@t8)) % 151.00/151.42 (step @p350 :rule cong :premises (@p349 @p329) :args ((= @t8 @t443))) % 151.00/151.42 (step @p351 :rule symm :premises (@p350)) % 151.00/151.42 (step @p352 :rule eq_resolve :premises (@p349 @p351)) % 151.00/151.42 (step @p353 :rule ho_cong :premises (@p342 @p352)) % 151.00/151.42 (step @p354 :rule ho_cong :premises (@p353 @p328)) % 151.00/151.42 (step @p355 :rule trans :premises (@p354 @p348)) % 151.00/151.42 (step @p356 :rule refl :args (@t7)) % 151.00/151.42 (step @p357 :rule cong :premises (@p356 @p332) :args ((= @t7 @t445))) % 151.00/151.42 (step @p358 :rule symm :premises (@p357)) % 151.00/151.42 (step @p359 :rule eq_resolve :premises (@p356 @p358)) % 151.00/151.42 (step @p360 :rule ho_cong :premises (@p335 @p359)) % 151.00/151.42 (step @p361 :rule ho_cong :premises (@p360 @p355)) % 151.00/151.42 (step @p362 :rule trans :premises (@p361 @p341)) % 151.00/151.42 (step @p363 :rule cong :premises (@p362 @p325) :args (@t16)) % 151.00/151.42 (step @p364 :rule cong :premises (@p363) :args (@t18)) % 151.00/151.42 (step @p365 :rule trans :premises (@p364 @p308 @p307)) % 151.00/151.42 (step @p366 :rule eq_resolve :premises (@p4 @p365)) % 151.00/151.42 ; trust TRUST PREPROCESS_HO_ELIM % 151.00/151.42 (step @p367 :rule trust :premises () :args ((= (_ @t54 (_ @t177 @t179)) @t448))) % 151.00/151.42 (step @p368 :rule refl :args (@t177)) % 151.00/151.42 (step @p369 :rule ho_cong :premises (@p368 @p86)) % 151.00/151.42 (step @p370 :rule refl :args (@t54)) % 151.00/151.42 (step @p371 :rule ho_cong :premises (@p370 @p369)) % 151.00/151.42 (step @p372 :rule trans :premises (@p371 @p367)) % 151.00/151.42 (step @p373 :rule eq_resolve :premises (@p81 @p372)) % 151.00/151.42 ; trust TRUST PREPROCESS_HO_ELIM % 151.00/151.42 (step @p374 :rule trust :premises () :args ((= @t419 (not @t449)))) % 151.00/151.42 (step @p375 :rule eq_resolve :premises (@p302 @p374)) % 151.00/151.42 (step @p376 :rule cnf_equiv_pos1 :args (@t450)) % 151.00/151.42 (step @p377 :rule reordering :premises (@p376) :args ((or @t449 (not @t448) @t451))) % 151.00/151.42 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p373) :args (@t451 @t452 (@list @t449 @t448))) % 151.00/151.42 (assume-push @p385 @t453) % 151.00/151.42 (step @p380 :rule instantiate :premises (@p366) :args ((@list tptp.na tptp.ya @t447))) % 151.00/151.42 (step-pop @p386 :rule scope :premises (@p380)) % 151.00/151.42 (step @p381 :rule process_scope :premises (@p386) :args (@t450)) % 151.00/151.42 (step @p383 :rule implies_elim :premises (@p381)) % 151.00/151.42 (step @p384 false :rule chain_m_resolution :premises (@p383 @p378 @p366) :args (false @t452 (@list @t450 @t453))) % 151.00/151.42 ) % 151.00/151.42 % SZS output end Proof % 151.00/151.42 % cvc5 exiting %------------------------------------------------------------------------------