0.07/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n031.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Fri Sep 5 18:37:07 EDT 2025 0.12/0.33 % CPUTime : 0.38/0.59 %----Proving TH0 120.90/121.41 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 120.90/121.41 --- 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 24s... 120.90/121.41 --- 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 24s... 120.90/121.41 --- Run --ho-elim --full-saturate-quant at 14s... 120.90/121.41 % SZS status Theorem 120.90/121.41 % SZS output start Proof 120.90/121.41 ( 120.90/121.41 (declare-type tptp.nat ()) 120.90/121.41 (declare-type tptp.polyno727731844poly_a ()) 120.90/121.41 (declare-type tptp.int ()) 120.90/121.41 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) 120.90/121.41 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) 120.90/121.41 (declare-const tptp.zero_zero_nat tptp.nat) 120.90/121.41 (declare-const tptp.polyno1372495879olyh_a (-> tptp.polyno727731844poly_a tptp.nat Bool)) 120.90/121.41 (declare-const tptp.p tptp.polyno727731844poly_a) 120.90/121.41 (declare-const tptp.power_power_nat (-> tptp.nat tptp.nat tptp.nat)) 120.90/121.41 (declare-const tptp.minus_minus_int (-> tptp.int tptp.int tptp.int)) 120.90/121.41 (declare-const tptp.semiri2019852685at_int (-> tptp.nat tptp.int)) 120.90/121.41 (declare-const tptp.power_power_int (-> tptp.int tptp.nat tptp.int)) 120.90/121.41 (declare-const tptp.suc (-> tptp.nat tptp.nat)) 120.90/121.41 (declare-const tptp.polyno1674775833reen_a (-> tptp.polyno727731844poly_a tptp.nat tptp.nat)) 120.90/121.41 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) 120.90/121.41 (declare-const tptp.semiri1382578993at_nat (-> tptp.nat tptp.nat)) 120.90/121.41 (declare-const tptp.zero_zero_int tptp.int) 120.90/121.41 (declare-const tptp.n tptp.nat) 120.90/121.41 (declare-const tptp.polyno578545843gree_a (-> tptp.polyno727731844poly_a tptp.nat)) 120.90/121.41 (define tptp.ord_less_int () (let ((_let_1 (@var "A3" tptp.int))) (let ((_let_2 (@var "B3" tptp.int))) (lambda (@list _let_2 _let_1) (and (not (= _let_1 _let_2)) (_ (_ tptp.ord_less_eq_int _let_2) _let_1)))))) 120.90/121.41 (define tptp.ord_less_nat () (let ((_let_1 (@var "A3" tptp.nat))) (let ((_let_2 (@var "B3" tptp.nat))) (lambda (@list _let_2 _let_1) (and (not (= _let_1 _let_2)) (_ (_ tptp.ord_less_eq_nat _let_2) _let_1)))))) 120.90/121.41 (define tptp.polyno190918219poly_a () (let ((_let_1 (@var "P2" tptp.polyno727731844poly_a))) (lambda (@list _let_1) (_ (_ tptp.polyno1372495879olyh_a _let_1) tptp.zero_zero_nat)))) 120.90/121.41 (define @t1 () (@var "X" tptp.nat)) 120.90/121.41 (define @t2 () (@var "W" tptp.nat)) 120.90/121.41 (define @t3 () (@var "B" tptp.nat)) 120.90/121.41 (define @t4 () (_ tptp.power_power_nat @t3)) 120.90/121.41 (define @t5 () (_ @t4 @t2)) 120.90/121.41 (define @t6 () (_ (_ tptp.ord_less_eq_nat @t5) @t1)) 120.90/121.41 (define @t7 () (_ tptp.semiri2019852685at_int @t1)) 120.90/121.41 (define @t8 () (_ (_ tptp.power_power_int (_ tptp.semiri2019852685at_int @t3)) @t2)) 120.90/121.41 (define @t9 () (@list @t3 @t2 @t1)) 120.90/121.41 (define @t10 () (@var "Nat" tptp.nat)) 120.90/121.41 (define @t11 () (@var "X2" tptp.nat)) 120.90/121.41 (define @t12 () (_ tptp.suc @t11)) 120.90/121.41 (define @t13 () (@var "I" tptp.nat)) 120.90/121.41 (define @t14 () (@var "N" tptp.nat)) 120.90/121.41 (define @t15 () (_ tptp.minus_minus_nat @t14)) 120.90/121.41 (define @t16 () (_ tptp.ord_less_eq_nat @t13)) 120.90/121.41 (define @t17 () (@list @t13 @t14)) 120.90/121.41 (define @t18 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) 120.90/121.41 (define @t19 () (_ @t18 @t14)) 120.90/121.41 (define @t20 () (= @t14 tptp.zero_zero_nat)) 120.90/121.41 (define @t21 () (not @t20)) 120.90/121.41 (define @t22 () (@list @t14)) 120.90/121.41 (define @t23 () (@var "M" tptp.nat)) 120.90/121.41 (define @t24 () (= @t23 tptp.zero_zero_nat)) 120.90/121.41 (define @t25 () (_ tptp.semiri1382578993at_nat @t23)) 120.90/121.41 (define @t26 () (_ tptp.ord_less_eq_nat @t25)) 120.90/121.41 (define @t27 () (@list @t23)) 120.90/121.41 (define @t28 () (@var "Y" tptp.int)) 120.90/121.41 (define @t29 () (@var "X" tptp.int)) 120.90/121.41 (define @t30 () (_ tptp.ord_less_eq_int @t29)) 120.90/121.41 (define @t31 () (_ @t30 @t28)) 120.90/121.41 (define @t32 () (not @t31)) 120.90/121.41 (define @t33 () (@var "Z" tptp.int)) 120.90/121.41 (define @t34 () (_ tptp.ord_less_eq_int @t33)) 120.90/121.41 (define @t35 () (_ @t34 @t29)) 120.90/121.41 (define @t36 () (_ tptp.ord_less_eq_int @t28)) 120.90/121.41 (define @t37 () (_ @t36 @t33)) 120.90/121.41 (define @t38 () (_ @t36 @t29)) 120.90/121.41 (define @t39 () (_ @t34 @t28)) 120.90/121.41 (define @t40 () (_ @t30 @t33)) 120.90/121.41 (define @t41 () (@list @t29 @t28 @t33)) 120.90/121.41 (define @t42 () (_ tptp.ord_less_nat @t23)) 120.90/121.41 (define @t43 () (_ @t42 @t14)) 120.90/121.41 (define @t44 () (@list @t23 @t14)) 120.90/121.41 (define @t45 () (@var "Y" tptp.nat)) 120.90/121.41 (define @t46 () (_ tptp.ord_less_eq_nat @t1)) 120.90/121.41 (define @t47 () (_ @t46 @t45)) 120.90/121.41 (define @t48 () (= @t1 @t45)) 120.90/121.41 (define @t49 () (@list @t1 @t45)) 120.90/121.41 (define @t50 () (_ tptp.suc @t23)) 120.90/121.41 (define @t51 () (_ tptp.ord_less_nat @t50)) 120.90/121.41 (define @t52 () (_ @t51 @t14)) 120.90/121.41 (define @t53 () (@var "P" (-> tptp.nat Bool))) 120.90/121.41 (define @t54 () (_ @t53 tptp.zero_zero_nat)) 120.90/121.41 (define @t55 () (@var "N2" tptp.nat)) 120.90/121.41 (define @t56 () (_ @t53 @t55)) 120.90/121.41 (define @t57 () (_ tptp.suc @t55)) 120.90/121.41 (define @t58 () (_ @t53 @t57)) 120.90/121.41 (define @t59 () (@list @t55)) 120.90/121.41 (define @t60 () (@var "K" tptp.nat)) 120.90/121.41 (define @t61 () (_ tptp.suc @t14)) 120.90/121.41 (define @t62 () (@var "B" tptp.int)) 120.90/121.41 (define @t63 () (@var "A" tptp.int)) 120.90/121.41 (define @t64 () (= @t63 @t62)) 120.90/121.41 (define @t65 () (not @t64)) 120.90/121.41 (define @t66 () (_ tptp.ord_less_int @t62)) 120.90/121.41 (define @t67 () (_ @t66 @t63)) 120.90/121.41 (define @t68 () (@list @t62 @t63)) 120.90/121.41 (define @t69 () (@var "J2" tptp.nat)) 120.90/121.41 (define @t70 () (_ @t16 @t69)) 120.90/121.41 (define @t71 () (@list @t13 @t69)) 120.90/121.41 (define @t72 () (_ @t51 @t61)) 120.90/121.41 (define @t73 () (@var "A" tptp.nat)) 120.90/121.41 (define @t74 () (= @t73 @t3)) 120.90/121.41 (define @t75 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) 120.90/121.41 (define @t76 () (_ @t75 @t3)) 120.90/121.41 (define @t77 () (_ @t75 @t73)) 120.90/121.41 (define @t78 () (_ @t4 @t61)) 120.90/121.41 (define @t79 () (_ tptp.power_power_nat @t73)) 120.90/121.41 (define @t80 () (_ @t79 @t61)) 120.90/121.41 (define @t81 () (@list @t73 @t14 @t3)) 120.90/121.41 (define @t82 () (_ tptp.power_power_int @t63)) 120.90/121.41 (define @t83 () (_ @t82 @t14)) 120.90/121.41 (define @t84 () (_ tptp.ord_less_eq_int tptp.zero_zero_int)) 120.90/121.41 (define @t85 () (_ @t84 @t63)) 120.90/121.41 (define @t86 () (@list @t63 @t14)) 120.90/121.41 (define @t87 () (@var "M5" tptp.nat)) 120.90/121.41 (define @t88 () (@list @t87)) 120.90/121.41 (define @t89 () (@var "C" tptp.nat)) 120.90/121.41 (define @t90 () (@var "F" (-> tptp.nat tptp.nat))) 120.90/121.41 (define @t91 () (_ @t90 @t73)) 120.90/121.41 (define @t92 () (@var "Y3" tptp.nat)) 120.90/121.41 (define @t93 () (_ @t90 @t92)) 120.90/121.41 (define @t94 () (@var "X3" tptp.nat)) 120.90/121.41 (define @t95 () (_ @t90 @t94)) 120.90/121.41 (define @t96 () (_ tptp.ord_less_nat @t94)) 120.90/121.41 (define @t97 () (_ @t96 @t92)) 120.90/121.41 (define @t98 () (@list @t94 @t92)) 120.90/121.41 (define @t99 () (forall @t98 (=> @t97 (_ (_ tptp.ord_less_nat @t95) @t93)))) 120.90/121.41 (define @t100 () (=> @t99 (_ (_ tptp.ord_less_nat @t91) @t89))) 120.90/121.41 (define @t101 () (_ @t90 @t3)) 120.90/121.41 (define @t102 () (= @t101 @t89)) 120.90/121.41 (define @t103 () (_ tptp.ord_less_nat @t73)) 120.90/121.41 (define @t104 () (_ @t103 @t3)) 120.90/121.41 (define @t105 () (@list @t73 @t3 @t90 @t89)) 120.90/121.41 (define @t106 () (_ tptp.suc tptp.zero_zero_nat)) 120.90/121.41 (define @t107 () (@list @t73)) 120.90/121.41 (define @t108 () (@var "J3" tptp.nat)) 120.90/121.41 (define @t109 () (_ @t42 @t61)) 120.90/121.41 (define @t110 () (@list @t29 @t28)) 120.90/121.41 (define @t111 () (not @t47)) 120.90/121.41 (define @t112 () (@var "Z" tptp.nat)) 120.90/121.41 (define @t113 () (_ tptp.ord_less_eq_nat @t112)) 120.90/121.41 (define @t114 () (_ @t113 @t1)) 120.90/121.41 (define @t115 () (_ tptp.ord_less_eq_nat @t45)) 120.90/121.41 (define @t116 () (_ @t115 @t112)) 120.90/121.41 (define @t117 () (_ @t115 @t1)) 120.90/121.41 (define @t118 () (_ @t113 @t45)) 120.90/121.41 (define @t119 () (_ @t46 @t112)) 120.90/121.41 (define @t120 () (@list @t1 @t45 @t112)) 120.90/121.41 (define @t121 () (= @t73 tptp.zero_zero_nat)) 120.90/121.41 (define @t122 () (not @t121)) 120.90/121.41 (define @t123 () (_ @t4 @t14)) 120.90/121.41 (define @t124 () (_ @t79 @t14)) 120.90/121.41 (define @t125 () (= @t124 @t123)) 120.90/121.41 (define @t126 () (_ tptp.minus_minus_int @t63)) 120.90/121.41 (define @t127 () (_ @t126 @t62)) 120.90/121.41 (define @t128 () (_ tptp.ord_less_int tptp.zero_zero_int)) 120.90/121.41 (define @t129 () (@list @t63 @t62)) 120.90/121.41 (define @t130 () (_ tptp.semiri1382578993at_nat @t1)) 120.90/121.41 (define @t131 () (_ (_ tptp.power_power_nat (_ tptp.semiri1382578993at_nat @t3)) @t2)) 120.90/121.41 (define @t132 () (_ tptp.ord_less_nat @t1)) 120.90/121.41 (define @t133 () (_ @t132 @t45)) 120.90/121.41 (define @t134 () (not @t133)) 120.90/121.41 (define @t135 () (_ tptp.ord_less_nat @t45)) 120.90/121.41 (define @t136 () (_ @t135 @t1)) 120.90/121.41 (define @t137 () (not @t136)) 120.90/121.41 (define @t138 () (@list @t45 @t1)) 120.90/121.41 (define @t139 () (= @t63 tptp.zero_zero_int)) 120.90/121.41 (define @t140 () (= @t83 tptp.zero_zero_int)) 120.90/121.41 (define @t141 () (_ tptp.ord_less_eq_int @t62)) 120.90/121.41 (define @t142 () (_ @t141 @t63)) 120.90/121.41 (define @t143 () (_ tptp.ord_less_nat @t14)) 120.90/121.41 (define @t144 () (@var "I2" tptp.nat)) 120.90/121.41 (define @t145 () (_ tptp.ord_less_nat @t144)) 120.90/121.41 (define @t146 () (_ @t145 @t14)) 120.90/121.41 (define @t147 () (_ @t53 @t144)) 120.90/121.41 (define @t148 () (@list @t144)) 120.90/121.41 (define @t149 () (_ @t53 @t14)) 120.90/121.41 (define @t150 () (_ @t145 @t61)) 120.90/121.41 (define @t151 () (@list @t14 @t53)) 120.90/121.41 (define @t152 () (_ tptp.semiri2019852685at_int @t23)) 120.90/121.41 (define @t153 () (_ tptp.ord_less_int @t152)) 120.90/121.41 (define @t154 () (@var "B3" tptp.int)) 120.90/121.41 (define @t155 () (@var "A3" tptp.int)) 120.90/121.41 (define @t156 () (_ (_ tptp.minus_minus_int @t155) @t154)) 120.90/121.41 (define @t157 () (@list @t155 @t154)) 120.90/121.41 (define @t158 () (@var "Z2" tptp.int)) 120.90/121.41 (define @t159 () (@var "Y5" tptp.int)) 120.90/121.41 (define @t160 () (lambda (@list @t159 @t158) (= @t159 @t158))) 120.90/121.41 (define @t161 () (@var "N3" tptp.nat)) 120.90/121.41 (define @t162 () (_ @t90 @t161)) 120.90/121.41 (define @t163 () (_ @t90 @t14)) 120.90/121.41 (define @t164 () (_ tptp.ord_less_eq_nat @t14)) 120.90/121.41 (define @t165 () (_ @t164 @t161)) 120.90/121.41 (define @t166 () (_ @t90 @t57)) 120.90/121.41 (define @t167 () (_ @t90 @t55)) 120.90/121.41 (define @t168 () (@list @t90 @t14 @t161)) 120.90/121.41 (define @t169 () (= @t23 @t14)) 120.90/121.41 (define @t170 () (_ tptp.semiri2019852685at_int @t14)) 120.90/121.41 (define @t171 () (@var "T" tptp.nat)) 120.90/121.41 (define @t172 () (@var "S" tptp.nat)) 120.90/121.41 (define @t173 () (_ tptp.ord_less_int @t28)) 120.90/121.41 (define @t174 () (_ @t173 @t29)) 120.90/121.41 (define @t175 () (_ tptp.ord_less_int @t29)) 120.90/121.41 (define @t176 () (_ @t175 @t28)) 120.90/121.41 (define @t177 () (not @t176)) 120.90/121.41 (define @t178 () (= @t29 @t28)) 120.90/121.41 (define @t179 () (not @t178)) 120.90/121.41 (define @t180 () (@var "V" tptp.nat)) 120.90/121.41 (define @t181 () (= @t1 tptp.zero_zero_nat)) 120.90/121.41 (define @t182 () (@list @t1)) 120.90/121.41 (define @t183 () (@list @t73 @t14)) 120.90/121.41 (define @t184 () (_ @t143 @t23)) 120.90/121.41 (define @t185 () (_ tptp.ord_less_nat @t163)) 120.90/121.41 (define @t186 () (forall @t59 (_ (_ tptp.ord_less_nat @t167) @t166))) 120.90/121.41 (define @t187 () (@var "F" (-> tptp.int tptp.nat))) 120.90/121.41 (define @t188 () (_ @t187 @t63)) 120.90/121.41 (define @t189 () (@var "Y3" tptp.int)) 120.90/121.41 (define @t190 () (_ @t187 @t189)) 120.90/121.41 (define @t191 () (@var "X3" tptp.int)) 120.90/121.41 (define @t192 () (_ @t187 @t191)) 120.90/121.41 (define @t193 () (_ tptp.ord_less_int @t191)) 120.90/121.41 (define @t194 () (_ @t193 @t189)) 120.90/121.41 (define @t195 () (@list @t191 @t189)) 120.90/121.41 (define @t196 () (forall @t195 (=> @t194 (_ (_ tptp.ord_less_nat @t192) @t190)))) 120.90/121.41 (define @t197 () (=> @t196 (_ (_ tptp.ord_less_nat @t188) @t89))) 120.90/121.41 (define @t198 () (_ @t187 @t62)) 120.90/121.41 (define @t199 () (= @t198 @t89)) 120.90/121.41 (define @t200 () (_ tptp.ord_less_int @t63)) 120.90/121.41 (define @t201 () (_ @t200 @t62)) 120.90/121.41 (define @t202 () (@list @t63 @t62 @t187 @t89)) 120.90/121.41 (define @t203 () (@var "Y2" tptp.nat)) 120.90/121.41 (define @t204 () (_ (_ tptp.ord_less_eq_nat @t23) @t14)) 120.90/121.41 (define @t205 () (_ tptp.semiri1382578993at_nat @t14)) 120.90/121.41 (define @t206 () (@var "Y6" tptp.int)) 120.90/121.41 (define @t207 () (@var "X5" tptp.int)) 120.90/121.41 (define @t208 () (@list @t29)) 120.90/121.41 (define @t209 () (_ @t143 @t50)) 120.90/121.41 (define @t210 () (not @t184)) 120.90/121.41 (define @t211 () (@list @t14 @t23)) 120.90/121.41 (define @t212 () (@var "C" tptp.int)) 120.90/121.41 (define @t213 () (_ tptp.ord_less_eq_int @t63)) 120.90/121.41 (define @t214 () (_ @t213 @t212)) 120.90/121.41 (define @t215 () (= @t62 @t212)) 120.90/121.41 (define @t216 () (_ @t213 @t62)) 120.90/121.41 (define @t217 () (@list @t63 @t62 @t212)) 120.90/121.41 (define @t218 () (not @t56)) 120.90/121.41 (define @t219 () (@var "X_12" tptp.nat)) 120.90/121.41 (define @t220 () (_ @t90 @t89)) 120.90/121.41 (define @t221 () (_ tptp.ord_less_nat @t3)) 120.90/121.41 (define @t222 () (_ @t221 @t89)) 120.90/121.41 (define @t223 () (=> @t222 (=> @t99 (_ @t103 @t220)))) 120.90/121.41 (define @t224 () (@list @t73 @t90 @t3 @t89)) 120.90/121.41 (define @t225 () (not @t169)) 120.90/121.41 (define @t226 () (@var "L" tptp.nat)) 120.90/121.41 (define @t227 () (_ tptp.minus_minus_nat @t23)) 120.90/121.41 (define @t228 () (@list @t23 @t14 @t226)) 120.90/121.41 (define @t229 () (not @t48)) 120.90/121.41 (define @t230 () (_ @t75 @t14)) 120.90/121.41 (define @t231 () (@var "D" tptp.int)) 120.90/121.41 (define @t232 () (_ tptp.ord_less_eq_int @t212)) 120.90/121.41 (define @t233 () (_ tptp.minus_minus_int @t212)) 120.90/121.41 (define @t234 () (= @t127 (_ @t233 @t231))) 120.90/121.41 (define @t235 () (@list @t63 @t62 @t212 @t231)) 120.90/121.41 (define @t236 () (_ @t227 @t14)) 120.90/121.41 (define @t237 () (_ @t15 @t60)) 120.90/121.41 (define @t238 () (_ @t227 @t60)) 120.90/121.41 (define @t239 () (_ tptp.ord_less_eq_nat @t60)) 120.90/121.41 (define @t240 () (_ @t239 @t14)) 120.90/121.41 (define @t241 () (_ @t239 @t23)) 120.90/121.41 (define @t242 () (@list @t60 @t23 @t14)) 120.90/121.41 (define @t243 () (= tptp.zero_zero_nat @t14)) 120.90/121.41 (define @t244 () (= @t236 tptp.zero_zero_nat)) 120.90/121.41 (define @t245 () (_ tptp.ord_less_eq_nat @t73)) 120.90/121.41 (define @t246 () (_ (_ tptp.ord_less_eq_nat @t94) @t92)) 120.90/121.41 (define @t247 () (forall @t98 (=> @t246 (_ (_ tptp.ord_less_eq_nat @t95) @t93)))) 120.90/121.41 (define @t248 () (_ tptp.ord_less_eq_nat @t3)) 120.90/121.41 (define @t249 () (_ @t248 @t89)) 120.90/121.41 (define @t250 () (=> @t249 (=> @t247 (_ @t245 @t220)))) 120.90/121.41 (define @t251 () (= @t73 @t101)) 120.90/121.41 (define @t252 () (_ tptp.minus_minus_nat @t73)) 120.90/121.41 (define @t253 () (_ @t252 @t89)) 120.90/121.41 (define @t254 () (@list @t73 @t89 @t3)) 120.90/121.41 (define @t255 () (_ tptp.minus_minus_int @t62)) 120.90/121.41 (define @t256 () (_ @t255 @t231)) 120.90/121.41 (define @t257 () (_ @t126 @t212)) 120.90/121.41 (define @t258 () (_ tptp.ord_less_eq_int @t257)) 120.90/121.41 (define @t259 () (@list @t63 @t62 @t231 @t212)) 120.90/121.41 (define @t260 () (@var "J" tptp.nat)) 120.90/121.41 (define @t261 () (_ tptp.ord_less_nat @t13)) 120.90/121.41 (define @t262 () (not (forall (@list @t260) (=> (_ @t261 @t260) (not (= @t60 (_ tptp.suc @t260))))))) 120.90/121.41 (define @t263 () (_ tptp.suc @t13)) 120.90/121.41 (define @t264 () (@list @t13 @t60)) 120.90/121.41 (define @t265 () (_ @t84 @t62)) 120.90/121.41 (define @t266 () (_ tptp.power_power_int @t62)) 120.90/121.41 (define @t267 () (_ @t266 @t14)) 120.90/121.41 (define @t268 () (@list @t63 @t14 @t62)) 120.90/121.41 (define @t269 () (@list @t62 @t63 @t212)) 120.90/121.41 (define @t270 () (@var "P3" tptp.polyno727731844poly_a)) 120.90/121.41 (define @t271 () (_ tptp.polyno1372495879olyh_a @t270)) 120.90/121.41 (define @t272 () (_ @t103 @t89)) 120.90/121.41 (define @t273 () (= @t3 @t89)) 120.90/121.41 (define @t274 () (@list @t73 @t3 @t89)) 120.90/121.41 (define @t275 () (_ tptp.ord_less_nat @t25)) 120.90/121.41 (define @t276 () (_ @t275 @t205)) 120.90/121.41 (define @t277 () (_ @t153 @t170)) 120.90/121.41 (define @t278 () (not @t174)) 120.90/121.41 (define @t279 () (@var "M2" tptp.nat)) 120.90/121.41 (define @t280 () (_ @t53 @t279)) 120.90/121.41 (define @t281 () (_ (_ tptp.ord_less_nat @t279) @t55)) 120.90/121.41 (define @t282 () (@list @t279)) 120.90/121.41 (define @t283 () (@list @t53 @t14)) 120.90/121.41 (define @t284 () (_ @t245 @t3)) 120.90/121.41 (define @t285 () (_ @t53 @t73)) 120.90/121.41 (define @t286 () (_ @t53 @t94)) 120.90/121.41 (define @t287 () (@var "Y4" tptp.nat)) 120.90/121.41 (define @t288 () (@list @t94)) 120.90/121.41 (define @t289 () (_ tptp.minus_minus_nat @t226)) 120.90/121.41 (define @t290 () (=> @t222 @t272)) 120.90/121.41 (define @t291 () (_ (_ tptp.ord_less_eq_int @t191) @t189)) 120.90/121.41 (define @t292 () (forall @t195 (=> @t291 (_ (_ tptp.ord_less_eq_nat @t192) @t190)))) 120.90/121.41 (define @t293 () (=> @t292 (_ (_ tptp.ord_less_eq_nat @t188) @t89))) 120.90/121.41 (define @t294 () (= @t5 @t1)) 120.90/121.41 (define @t295 () (@list @t63)) 120.90/121.41 (define @t296 () (_ tptp.ord_less_eq_nat @t106)) 120.90/121.41 (define @t297 () (@var "K" tptp.int)) 120.90/121.41 (define @t298 () (= @t297 (_ tptp.semiri2019852685at_int @t55))) 120.90/121.41 (define @t299 () (_ @t84 @t297)) 120.90/121.41 (define @t300 () (@list @t297)) 120.90/121.41 (define @t301 () (_ tptp.ord_less_eq_int @t152)) 120.90/121.41 (define @t302 () (_ tptp.minus_minus_nat tptp.zero_zero_nat)) 120.90/121.41 (define @t303 () (_ @t266 @t61)) 120.90/121.41 (define @t304 () (_ @t82 @t61)) 120.90/121.41 (define @t305 () (_ @t221 @t73)) 120.90/121.41 (define @t306 () (@list @t3 @t73)) 120.90/121.41 (define @t307 () (=> @t247 (_ (_ tptp.ord_less_eq_nat @t91) @t89))) 120.90/121.41 (define @t308 () (not @t74)) 120.90/121.41 (define @t309 () (@list @t73 @t3)) 120.90/121.41 (define @t310 () (= @t1 @t5)) 120.90/121.41 (define @t311 () (@list @t1 @t3 @t2)) 120.90/121.41 (define @t312 () (@var "I3" tptp.nat)) 120.90/121.41 (define @t313 () (_ @t53 @t312)) 120.90/121.41 (define @t314 () (_ tptp.suc @t312)) 120.90/121.41 (define @t315 () (_ tptp.ord_less_nat @t312)) 120.90/121.41 (define @t316 () (@list @t312)) 120.90/121.41 (define @t317 () (_ @t261 @t69)) 120.90/121.41 (define @t318 () (not @t280)) 120.90/121.41 (define @t319 () (_ @t18 @t55)) 120.90/121.41 (define @t320 () (@var "F" (-> tptp.nat tptp.int))) 120.90/121.41 (define @t321 () (_ @t320 @t161)) 120.90/121.41 (define @t322 () (_ @t320 @t14)) 120.90/121.41 (define @t323 () (_ @t320 @t57)) 120.90/121.41 (define @t324 () (_ @t320 @t55)) 120.90/121.41 (define @t325 () (@list @t320 @t14 @t161)) 120.90/121.41 (define @t326 () (not @t43)) 120.90/121.41 (define @t327 () (_ (_ tptp.power_power_nat @t23) @t14)) 120.90/121.41 (define @t328 () (@var "P" (-> tptp.nat tptp.nat Bool))) 120.90/121.41 (define @t329 () (@var "K2" tptp.nat)) 120.90/121.41 (define @t330 () (_ @t328 @t312)) 120.90/121.41 (define @t331 () (_ @t320 @t89)) 120.90/121.41 (define @t332 () (_ @t320 @t92)) 120.90/121.41 (define @t333 () (_ @t320 @t94)) 120.90/121.41 (define @t334 () (forall @t98 (=> @t246 (_ (_ tptp.ord_less_eq_int @t333) @t332)))) 120.90/121.41 (define @t335 () (=> @t249 (=> @t334 (_ @t213 @t331)))) 120.90/121.41 (define @t336 () (_ @t320 @t3)) 120.90/121.41 (define @t337 () (@list @t63 @t320 @t3 @t89)) 120.90/121.41 (define @t338 () (_ @t132 @t5)) 120.90/121.41 (define @t339 () (_ @t200 @t212)) 120.90/121.41 (define @t340 () (_ @t233 @t62)) 120.90/121.41 (define @t341 () (_ @t233 @t63)) 120.90/121.41 (define @t342 () (_ @t255 @t212)) 120.90/121.41 (define @t343 () (_ tptp.ord_less_int @t257)) 120.90/121.41 (define @t344 () (_ @t53 (_ tptp.suc @t144))) 120.90/121.41 (define @t345 () (@var "F" (-> tptp.int tptp.int))) 120.90/121.41 (define @t346 () (_ @t345 @t212)) 120.90/121.41 (define @t347 () (_ @t345 @t189)) 120.90/121.41 (define @t348 () (_ @t345 @t191)) 120.90/121.41 (define @t349 () (forall @t195 (=> @t291 (_ (_ tptp.ord_less_eq_int @t348) @t347)))) 120.90/121.41 (define @t350 () (_ @t141 @t212)) 120.90/121.41 (define @t351 () (=> @t350 (=> @t349 (_ @t213 @t346)))) 120.90/121.41 (define @t352 () (_ @t345 @t62)) 120.90/121.41 (define @t353 () (@list @t63 @t345 @t62 @t212)) 120.90/121.41 (define @t354 () (_ @t248 @t73)) 120.90/121.41 (define @t355 () (_ @t245 @t89)) 120.90/121.41 (define @t356 () (_ tptp.ord_less_eq_nat @t89)) 120.90/121.41 (define @t357 () (_ @t356 @t73)) 120.90/121.41 (define @t358 () (@list @t3 @t73 @t89)) 120.90/121.41 (define @t359 () (_ (_ tptp.ord_less_eq_nat @t124) @t123)) 120.90/121.41 (define @t360 () (@list @t73 @t3 @t14)) 120.90/121.41 (define @t361 () (forall @t148 (=> @t150 @t147))) 120.90/121.41 (define @t362 () (@var "C2" tptp.nat)) 120.90/121.41 (define @t363 () (@var "D2" tptp.nat)) 120.90/121.41 (define @t364 () (@var "X6" tptp.nat)) 120.90/121.41 (define @t365 () (_ @t345 @t63)) 120.90/121.41 (define @t366 () (=> @t349 (_ (_ tptp.ord_less_eq_int @t365) @t212))) 120.90/121.41 (define @t367 () (= @t352 @t212)) 120.90/121.41 (define @t368 () (@list @t63 @t62 @t345 @t212)) 120.90/121.41 (define @t369 () (@var "P" (-> tptp.int tptp.int Bool))) 120.90/121.41 (define @t370 () (@var "B2" tptp.int)) 120.90/121.41 (define @t371 () (@var "A2" tptp.int)) 120.90/121.41 (define @t372 () (_ @t369 @t371)) 120.90/121.41 (define @t373 () (_ @t372 @t370)) 120.90/121.41 (define @t374 () (@list @t371 @t370)) 120.90/121.41 (define @t375 () (=> (forall @t374 (=> (_ (_ @t369 @t370) @t371) @t373)) (_ (_ @t369 @t63) @t62))) 120.90/121.41 (define @t376 () (@list @t369 @t63 @t62)) 120.90/121.41 (define @t377 () (_ @t164 @t23)) 120.90/121.41 (define @t378 () (_ @t128 @t297)) 120.90/121.41 (define @t379 () (=> @t249 @t355)) 120.90/121.41 (define @t380 () (@var "A3" tptp.nat)) 120.90/121.41 (define @t381 () (@var "B3" tptp.nat)) 120.90/121.41 (define @t382 () (_ (_ tptp.ord_less_eq_nat @t381) @t380)) 120.90/121.41 (define @t383 () (_ (_ tptp.ord_less_eq_nat @t380) @t381)) 120.90/121.41 (define @t384 () (@list @t380 @t381)) 120.90/121.41 (define @t385 () (@var "Z2" tptp.nat)) 120.90/121.41 (define @t386 () (@var "Y5" tptp.nat)) 120.90/121.41 (define @t387 () (lambda (@list @t386 @t385) (= @t386 @t385))) 120.90/121.41 (define @t388 () (@var "C2" tptp.int)) 120.90/121.41 (define @t389 () (@var "X6" tptp.int)) 120.90/121.41 (define @t390 () (@var "P" (-> tptp.int Bool))) 120.90/121.41 (define @t391 () (@var "D2" tptp.int)) 120.90/121.41 (define @t392 () (forall @t195 (=> @t194 (_ (_ tptp.ord_less_int @t348) @t347)))) 120.90/121.41 (define @t393 () (=> @t392 (_ (_ tptp.ord_less_int @t365) @t212))) 120.90/121.41 (define @t394 () (=> @t350 @t214)) 120.90/121.41 (define @t395 () (_ tptp.ord_less_int @t322)) 120.90/121.41 (define @t396 () (_ @t143 @t161)) 120.90/121.41 (define @t397 () (forall @t59 (_ (_ tptp.ord_less_int @t324) @t323))) 120.90/121.41 (define @t398 () (@var "X5" tptp.nat)) 120.90/121.41 (define @t399 () (@var "Y6" tptp.nat)) 120.90/121.41 (define @t400 () (_ (_ tptp.ord_less_eq_int @t155) @t154)) 120.90/121.41 (define @t401 () (_ (_ tptp.ord_less_eq_int @t154) @t155)) 120.90/121.41 (define @t402 () (= @t155 @t154)) 120.90/121.41 (define @t403 () (@list @t154 @t155)) 120.90/121.41 (define @t404 () (@var "Nat3" tptp.nat)) 120.90/121.41 (define @t405 () (_ tptp.suc @t404)) 120.90/121.41 (define @t406 () (@list @t404)) 120.90/121.41 (define @t407 () (_ tptp.ord_less_int @t212)) 120.90/121.41 (define @t408 () (_ tptp.ord_less_nat @t89)) 120.90/121.41 (define @t409 () (_ @t66 @t212)) 120.90/121.41 (define @t410 () (=> @t409 @t339)) 120.90/121.41 (define @t411 () (_ @t187 @t212)) 120.90/121.41 (define @t412 () (=> @t409 (=> @t196 (_ @t103 @t411)))) 120.90/121.41 (define @t413 () (= @t73 @t198)) 120.90/121.41 (define @t414 () (@list @t73 @t187 @t62 @t212)) 120.90/121.41 (define @t415 () (= @t124 tptp.zero_zero_nat)) 120.90/121.41 (define @t416 () (@var "B2" tptp.nat)) 120.90/121.41 (define @t417 () (@var "A2" tptp.nat)) 120.90/121.41 (define @t418 () (_ @t328 @t417)) 120.90/121.41 (define @t419 () (_ @t418 @t416)) 120.90/121.41 (define @t420 () (@list @t417 @t416)) 120.90/121.41 (define @t421 () (=> (forall @t420 (=> (_ (_ @t328 @t416) @t417) @t419)) (_ (_ @t328 @t73) @t3))) 120.90/121.41 (define @t422 () (@list @t328 @t73 @t3)) 120.90/121.41 (define @t423 () (= @t63 @t336)) 120.90/121.41 (define @t424 () (_ (_ tptp.ord_less_nat @t5) @t1)) 120.90/121.41 (define @t425 () (_ @t320 @t73)) 120.90/121.41 (define @t426 () (=> @t334 (_ (_ tptp.ord_less_eq_int @t425) @t212))) 120.90/121.41 (define @t427 () (= @t336 @t212)) 120.90/121.41 (define @t428 () (@list @t73 @t3 @t320 @t212)) 120.90/121.41 (define @t429 () (@var "M4" tptp.nat)) 120.90/121.41 (define @t430 () (_ tptp.minus_minus_nat @t50)) 120.90/121.41 (define @t431 () (_ @t430 @t14)) 120.90/121.41 (define @t432 () (_ @t46 @t5)) 120.90/121.41 (define @t433 () (_ tptp.minus_minus_nat @t89)) 120.90/121.41 (define @t434 () (_ @t18 @t1)) 120.90/121.41 (define @t435 () (@list @t1 @t14)) 120.90/121.41 (define @t436 () (forall @t98 (=> @t97 (_ (_ tptp.ord_less_int @t333) @t332)))) 120.90/121.41 (define @t437 () (=> @t436 (_ (_ tptp.ord_less_int @t425) @t212))) 120.90/121.41 (define @t438 () (_ (_ tptp.ord_less_eq_int @t83) @t267)) 120.90/121.41 (define @t439 () (@list @t63 @t62 @t14)) 120.90/121.41 (define @t440 () (_ (_ tptp.ord_less_nat @t263) @t60)) 120.90/121.41 (define @t441 () (_ @t15 @t106)) 120.90/121.41 (define @t442 () (_ tptp.suc @t441)) 120.90/121.41 (define @t443 () (= @t442 @t14)) 120.90/121.41 (define @t444 () (=> @t19 @t443)) 120.90/121.41 (define @t445 () (forall @t22 @t444)) 120.90/121.41 (define @t446 () (= @t83 @t267)) 120.90/121.41 (define @t447 () (=> @t222 (=> @t436 (_ @t200 @t331)))) 120.90/121.41 (define @t448 () (@var "P" Bool)) 120.90/121.41 (define @t449 () (@list @t28 @t29)) 120.90/121.41 (define @t450 () (or @t434 @t20)) 120.90/121.41 (define @t451 () (@var "X_1" tptp.int)) 120.90/121.41 (define @t452 () (=> @t409 (=> @t392 (_ @t200 @t346)))) 120.90/121.41 (define @t453 () (=> @t350 (=> @t292 (_ @t245 @t411)))) 120.90/121.41 (define @t454 () (_ tptp.polyno578545843gree_a @t270)) 120.90/121.41 (define @t455 () (_ @t271 @t61)) 120.90/121.41 (define @t456 () (=> @t455 (= @t454 tptp.zero_zero_nat))) 120.90/121.41 (define @t457 () (@list @t270 @t14)) 120.90/121.41 (define @t458 () (forall @t457 @t456)) 120.90/121.41 (define @t459 () (@var "Nat2" tptp.nat)) 120.90/121.41 (define @t460 () (_ tptp.suc @t459)) 120.90/121.41 (define @t461 () (@list @t459)) 120.90/121.41 (define @t462 () (@var "X_1" tptp.nat)) 120.90/121.41 (define @t463 () (_ tptp.minus_minus_nat @t13)) 120.90/121.41 (define @t464 () (@list @t13 @t69 @t60)) 120.90/121.41 (define @t465 () (_ tptp.polyno578545843gree_a tptp.p)) 120.90/121.41 (define @t466 () (not (= @t465 tptp.zero_zero_nat))) 120.90/121.41 (define @t467 () (_ tptp.power_power_nat @t1)) 120.90/121.41 (define @t468 () (@var "M3" tptp.nat)) 120.90/121.41 (define @t469 () (exists (@list @t468) (= @t14 (_ tptp.suc @t468)))) 120.90/121.41 (define @t470 () (@var "N4" tptp.nat)) 120.90/121.41 (define @t471 () (@var "P5" (-> tptp.nat Bool))) 120.90/121.41 (define @t472 () (@var "X4" tptp.nat)) 120.90/121.41 (define @t473 () (@var "P4" (-> tptp.nat Bool))) 120.90/121.41 (define @t474 () (= @t63 @t352)) 120.90/121.41 (define @t475 () (_ tptp.suc @t92)) 120.90/121.41 (define @t476 () (_ @t328 @t94)) 120.90/121.41 (define @t477 () (_ (_ tptp.polyno1372495879olyh_a tptp.p) tptp.n)) 120.90/121.41 (define @t478 () (lambda @t403 (and (not @t402) @t401))) 120.90/121.41 (define @t479 () (not (= @t380 @t381))) 120.90/121.41 (define @t480 () (and @t479 @t382)) 120.90/121.41 (define @t481 () (@list @t381 @t380)) 120.90/121.41 (define @t482 () (lambda @t481 @t480)) 120.90/121.41 (define @t483 () (@var "P2" tptp.polyno727731844poly_a)) 120.90/121.41 (define @t484 () (lambda (@list @t483) (_ (_ tptp.polyno1372495879olyh_a @t483) tptp.zero_zero_nat))) 120.90/121.41 (define @t485 () (@const 0 (@ho-elim-sort (-> tptp.polyno727731844poly_a tptp.nat)))) 120.90/121.41 (define @t486 () (@const 1 (-> (@ho-elim-sort (-> tptp.polyno727731844poly_a tptp.nat)) tptp.polyno727731844poly_a tptp.nat))) 120.90/121.41 (define @t487 () (@const 2 (@ho-elim-sort (-> tptp.nat tptp.nat)))) 120.90/121.41 (define @t488 () (@const 3 (-> (@ho-elim-sort (-> tptp.nat tptp.nat)) tptp.nat tptp.nat))) 120.90/121.41 (define @t489 () (@const 4 (@ho-elim-sort (-> tptp.polyno727731844poly_a tptp.nat Bool)))) 120.90/121.41 (define @t490 () (@const 5 (-> (@ho-elim-sort (-> tptp.polyno727731844poly_a tptp.nat Bool)) tptp.polyno727731844poly_a (@ho-elim-sort (-> tptp.nat Bool))))) 120.90/121.41 (define @t491 () (@const 6 (-> (@ho-elim-sort (-> tptp.nat Bool)) tptp.nat Bool))) 120.90/121.41 (define @t492 () (tptp.polyno578545843gree_a @t270)) 120.90/121.41 (define @t493 () (tptp.suc @t14)) 120.90/121.41 (define @t494 () (tptp.polyno1372495879olyh_a @t270 @t493)) 120.90/121.41 (define @t495 () (= tptp.zero_zero_nat @t454)) 120.90/121.41 (define @t496 () (not @t455)) 120.90/121.41 (define @t497 () (or @t496 @t495)) 120.90/121.41 (define @t498 () (_ @t488 @t487 tptp.zero_zero_nat)) 120.90/121.41 (define @t499 () (@const 7 (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat)))) 120.90/121.41 (define @t500 () (@const 8 (-> (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat)) tptp.nat (@ho-elim-sort (-> tptp.nat tptp.nat))))) 120.90/121.41 (define @t501 () (_ @t488 (_ @t500 @t499 tptp.n) @t498)) 120.90/121.41 (define @t502 () (= tptp.zero_zero_nat (_ @t486 @t485 tptp.p))) 120.90/121.41 (define @t503 () (_ @t488 @t487 @t501)) 120.90/121.41 (define @t504 () (_ @t490 @t489 tptp.p)) 120.90/121.41 (define @t505 () (not (_ @t491 @t504 @t503))) 120.90/121.41 (define @t506 () (or @t505 @t502)) 120.90/121.41 (define @t507 () (_ (@const 10 (-> (@ho-elim-sort (-> tptp.nat tptp.nat Bool)) tptp.nat (@ho-elim-sort (-> tptp.nat Bool)))) (@const 9 (@ho-elim-sort (-> tptp.nat tptp.nat Bool))) tptp.zero_zero_nat)) 120.90/121.41 (define @t508 () (tptp.suc tptp.zero_zero_nat)) 120.90/121.41 (define @t509 () (tptp.minus_minus_nat @t14 @t508)) 120.90/121.41 (define @t510 () (tptp.suc @t509)) 120.90/121.41 (define @t511 () (tptp.ord_less_eq_nat tptp.zero_zero_nat @t14)) 120.90/121.41 (define @t512 () (= @t14 @t442)) 120.90/121.41 (define @t513 () (not @t230)) 120.90/121.41 (define @t514 () (or @t243 @t513 @t512)) 120.90/121.41 (define @t515 () (not @t243)) 120.90/121.41 (define @t516 () (and @t515 @t230)) 120.90/121.41 (define @t517 () (lambda (@list @t380) (and (not (= tptp.zero_zero_nat @t380)) (_ @t75 @t380)))) 120.90/121.41 (define @t518 () (_ (lambda @t481 (and (not (= @t381 @t380)) @t382)) tptp.zero_zero_nat)) 120.90/121.41 (define @t519 () (=> (_ @t518 @t14) @t443)) 120.90/121.41 (define @t520 () (_ @t491 @t507 tptp.n)) 120.90/121.41 (define @t521 () (= tptp.zero_zero_nat tptp.n)) 120.90/121.41 (define @t522 () (not @t521)) 120.90/121.41 (define @t523 () (and @t522 (_ @t75 tptp.n))) 120.90/121.41 (define @t524 () (= tptp.n @t503)) 120.90/121.41 (define @t525 () (not @t520)) 120.90/121.41 (define @t526 () (or @t521 @t525 @t524)) 120.90/121.41 (define @t527 () (_ @t491 @t504 tptp.n)) 120.90/121.41 (assume @p1 (forall @t9 (= (_ (_ tptp.ord_less_eq_int @t8) @t7) @t6))) 120.90/121.41 (assume @p2 (forall (@list @t10 @t11) (=> (= @t10 @t12) (not (= @t10 tptp.zero_zero_nat))))) 120.90/121.41 (assume @p3 (forall (@list @t11) (not (= tptp.zero_zero_nat @t12)))) 120.90/121.41 (assume @p4 (forall @t17 (=> (_ @t16 @t14) (= (_ @t15 (_ @t15 @t13)) @t13)))) 120.90/121.41 (assume @p5 (forall @t22 (=> @t21 @t19))) 120.90/121.41 (assume @p6 (forall @t27 (= (_ @t26 tptp.zero_zero_nat) @t24))) 120.90/121.41 (assume @p7 (forall @t41 (=> (=> @t31 (not @t37)) (=> (=> @t38 (not @t40)) (=> (=> @t40 (not @t39)) (=> (=> @t39 (not @t38)) (=> (=> @t37 (not @t35)) (not (=> @t35 @t32))))))))) 120.90/121.41 (assume @p8 (forall @t44 (=> @t43 @t21))) 120.90/121.41 (assume @p9 (forall @t49 (=> @t48 @t47))) 120.90/121.41 (assume @p10 (forall @t27 (not (= tptp.zero_zero_nat @t50)))) 120.90/121.41 (assume @p11 (forall @t44 (=> @t43 (=> (not (= @t50 @t14)) @t52)))) 120.90/121.41 (assume @p12 (forall (@list @t53 @t60) (=> (_ @t53 @t60) (=> (forall @t59 (=> @t58 @t56)) @t54)))) 120.90/121.41 (assume @p13 (forall @t22 (= @t19 @t21))) 120.90/121.41 (assume @p14 (forall @t22 (_ @t18 @t61))) 120.90/121.41 (assume @p15 (forall @t68 (=> @t67 @t65))) 120.90/121.41 (assume @p16 (forall @t71 (=> @t70 (_ (_ tptp.ord_less_eq_nat (_ tptp.semiri1382578993at_nat @t13)) (_ tptp.semiri1382578993at_nat @t69))))) 120.90/121.41 (assume @p17 (forall @t44 (=> @t43 @t72))) 120.90/121.41 (assume @p18 (forall @t81 (=> (= @t80 @t78) (=> @t77 (=> @t76 @t74))))) 120.90/121.41 (assume @p19 (forall @t86 (=> @t85 (_ @t84 @t83)))) 120.90/121.41 (assume @p20 (forall @t22 (= @t19 (exists @t88 (= @t14 (_ tptp.suc @t87)))))) 120.90/121.41 (assume @p21 (forall @t105 (=> @t104 (=> @t102 @t100)))) 120.90/121.41 (assume @p22 (forall @t107 (= (_ @t79 @t106) @t73))) 120.90/121.41 (assume @p23 (forall @t44 (= @t109 (or (exists (@list @t108) (and (= @t23 (_ tptp.suc @t108)) (_ (_ tptp.ord_less_nat @t108) @t14))) @t24)))) 120.90/121.41 (assume @p24 (forall @t110 (or @t31 @t38))) 120.90/121.41 (assume @p25 (forall @t120 (=> (=> @t47 (not @t116)) (=> (=> @t117 (not @t119)) (=> (=> @t119 (not @t118)) (=> (=> @t118 (not @t117)) (=> (=> @t116 (not @t114)) (not (=> @t114 @t111))))))))) 120.90/121.41 (assume @p26 (forall @t107 (= @t122 (_ @t18 @t73)))) 120.90/121.41 (assume @p27 (forall (@list @t14 @t73 @t3) (=> @t19 (=> @t77 (=> @t76 (= @t125 @t74)))))) 120.90/121.41 (assume @p28 (forall @t129 (= (_ @t128 @t127) @t67))) 120.90/121.41 (assume @p29 (forall @t9 (= (_ (_ tptp.ord_less_eq_nat @t131) @t130) @t6))) 120.90/121.41 (assume @p30 (forall @t138 (=> @t137 (= @t134 @t48)))) 120.90/121.41 (assume @p31 (forall @t86 (= @t140 (and @t19 @t139)))) 120.90/121.41 (assume @p32 (forall @t129 (= (_ @t84 @t127) @t142))) 120.90/121.41 (assume @p33 (forall @t22 (not (_ @t143 tptp.zero_zero_nat)))) 120.90/121.41 (assume @p34 (forall @t151 (= (exists @t148 (and @t150 @t147)) (or @t149 (exists @t148 (and @t147 @t146)))))) 120.90/121.41 (assume @p35 (forall @t27 (not (_ @t153 tptp.zero_zero_int)))) 120.90/121.41 (assume @p36 (= @t160 (lambda @t157 (= @t156 tptp.zero_zero_int)))) 120.90/121.41 (assume @p37 (forall @t49 (=> @t133 @t137))) 120.90/121.41 (assume @p38 (forall @t168 (=> (forall @t59 (_ (_ tptp.ord_less_eq_nat @t167) @t166)) (=> @t165 (_ (_ tptp.ord_less_eq_nat @t163) @t162))))) 120.90/121.41 (assume @p39 (forall @t44 (= (= @t152 @t170) @t169))) 120.90/121.41 (assume @p40 (forall (@list @t172 @t171) (=> (_ (_ tptp.ord_less_nat @t172) @t171) (not (= @t172 @t171))))) 120.90/121.41 (assume @p41 (= (_ tptp.semiri2019852685at_int tptp.zero_zero_nat) tptp.zero_zero_int)) 120.90/121.41 (assume @p42 (forall @t110 (=> @t179 (=> @t177 @t174)))) 120.90/121.41 (assume @p43 (forall @t71 (=> @t70 (_ (_ tptp.ord_less_eq_int (_ tptp.semiri2019852685at_int @t13)) (_ tptp.semiri2019852685at_int @t69))))) 120.90/121.41 (assume @p44 (forall @t22 (not (_ @t143 @t14)))) 120.90/121.41 (assume @p45 (_ @t18 tptp.n)) 120.90/121.41 (assume @p46 (forall @t182 (=> (not @t181) (not (forall (@list @t180) (not (= @t1 (_ tptp.suc @t180)))))))) 120.90/121.41 (assume @p47 (forall @t183 (=> @t77 (_ @t75 @t124)))) 120.90/121.41 (assume @p48 (forall (@list @t90 @t14 @t23) (=> @t186 (= (_ @t185 (_ @t90 @t23)) @t184)))) 120.90/121.41 (assume @p49 (forall @t202 (=> @t201 (=> @t199 @t197)))) 120.90/121.41 (assume @p50 (= tptp.ord_less_eq_int (lambda @t157 (_ (_ tptp.ord_less_eq_int @t156) tptp.zero_zero_int)))) 120.90/121.41 (assume @p51 (forall (@list @t11 @t203) (= (= @t12 (_ tptp.suc @t203)) (= @t11 @t203)))) 120.90/121.41 (assume @p52 (forall @t44 (= (_ @t26 @t205) @t204))) 120.90/121.41 (assume @p53 (= @t160 (lambda (@list @t207 @t206) (and (_ (_ tptp.ord_less_eq_int @t206) @t207) (_ (_ tptp.ord_less_eq_int @t207) @t206))))) 120.90/121.41 (assume @p54 (forall @t208 (exists (@list @t189) (_ (_ tptp.ord_less_int @t189) @t29)))) 120.90/121.41 (assume @p55 (forall @t211 (=> @t210 (= @t209 (= @t14 @t23))))) 120.90/121.41 (assume @p56 (forall @t44 (= @t109 (or @t43 @t169)))) 120.90/121.41 (assume @p57 (forall @t217 (=> @t216 (=> @t215 @t214)))) 120.90/121.41 (assume @p58 (forall (@list @t53) (=> (not @t54) (=> (exists (@list @t219) (_ @t53 @t219)) (exists @t59 (and @t218 @t58)))))) 120.90/121.41 (assume @p59 (forall @t224 (=> (_ @t103 @t101) @t223))) 120.90/121.41 (assume @p60 (forall @t168 (=> (forall @t59 (_ (_ tptp.ord_less_eq_nat @t166) @t167)) (=> @t165 (_ (_ tptp.ord_less_eq_nat @t162) @t163))))) 120.90/121.41 (assume @p61 (forall @t211 (=> @t184 @t225))) 120.90/121.41 (assume @p62 (forall @t228 (=> @t204 (_ (_ tptp.ord_less_eq_nat (_ @t227 @t226)) (_ @t15 @t226))))) 120.90/121.41 (assume @p63 (forall @t211 (=> @t210 (=> @t209 @t169)))) 120.90/121.41 (assume @p64 (forall @t49 (=> @t134 (=> @t229 @t136)))) 120.90/121.41 (assume @p65 (forall @t22 @t230)) 120.90/121.41 (assume @p66 (forall @t110 (=> @t176 @t179))) 120.90/121.41 (assume @p67 (forall @t235 (=> @t234 (= @t216 (_ @t232 @t231))))) 120.90/121.41 (assume @p68 (forall @t242 (=> @t241 (=> @t240 (= (_ (_ tptp.minus_minus_nat @t238) @t237) @t236))))) 120.90/121.41 (assume @p69 (forall @t22 (= (= tptp.zero_zero_nat @t205) @t243))) 120.90/121.41 (assume @p70 (forall @t49 (=> @t229 (=> @t134 @t136)))) 120.90/121.41 (assume @p71 (forall @t44 (=> @t204 @t244))) 120.90/121.41 (assume @p72 (forall @t107 (not (_ @t103 @t73)))) 120.90/121.41 (assume @p73 (forall @t224 (=> @t251 @t250))) 120.90/121.41 (assume @p74 (forall @t22 (= @t21 @t19))) 120.90/121.41 (assume @p75 (forall @t254 (= (_ (_ tptp.minus_minus_nat @t253) @t3) (_ (_ tptp.minus_minus_nat (_ @t252 @t3)) @t89)))) 120.90/121.41 (assume @p76 (= tptp.zero_zero_nat tptp.zero_zero_nat)) 120.90/121.41 (assume @p77 (forall @t259 (=> @t216 (=> (_ (_ tptp.ord_less_eq_int @t231) @t212) (_ @t258 @t256))))) 120.90/121.41 (assume @p78 (forall @t264 (=> (_ @t261 @t60) (=> (not (= @t60 @t263)) @t262)))) 120.90/121.41 (assume @p79 (forall @t268 (=> (_ (_ tptp.ord_less_int @t83) @t267) (=> @t265 @t201)))) 120.90/121.41 (assume @p80 (forall @t269 (=> @t142 (=> (_ @t232 @t62) (_ @t232 @t63))))) 120.90/121.41 (assume @p81 (forall (@list @t270 @t14 @t23) (=> (_ @t271 @t14) (=> @t43 (= (_ (_ tptp.polyno1674775833reen_a @t270) @t23) tptp.zero_zero_nat))))) 120.90/121.41 (assume @p82 (forall @t274 (=> @t104 (=> @t273 @t272)))) 120.90/121.41 (assume @p83 (= tptp.zero_zero_int tptp.zero_zero_int)) 120.90/121.41 (assume @p84 (forall @t44 (= @t276 @t43))) 120.90/121.41 (assume @p85 (forall @t44 (= @t277 @t43))) 120.90/121.41 (assume @p86 (forall @t110 (=> @t176 @t278))) 120.90/121.41 (assume @p87 (forall @t49 (=> @t111 @t117))) 120.90/121.41 (assume @p88 (forall @t49 (or @t133 @t48 @t136))) 120.90/121.41 (assume @p89 (forall @t283 (=> (forall @t59 (=> (forall @t282 (=> @t281 @t280)) @t56)) @t149))) 120.90/121.41 (assume @p90 (forall @t81 (=> (_ (_ tptp.ord_less_eq_nat @t80) @t78) (=> @t76 @t284)))) 120.90/121.41 (assume @p91 (forall (@list @t53 @t73) (=> (forall @t288 (=> (forall (@list @t287) (=> (_ (_ tptp.ord_less_nat @t287) @t94) (_ @t53 @t287))) @t286)) @t285))) 120.90/121.41 (assume @p92 (forall @t110 (= @t179 (or @t176 @t174)))) 120.90/121.41 (assume @p93 (forall @t224 (=> (_ @t245 @t101) @t250))) 120.90/121.41 (assume @p94 (forall @t228 (=> @t204 (_ (_ tptp.ord_less_eq_nat (_ @t289 @t14)) (_ @t289 @t23))))) 120.90/121.41 (assume @p95 (forall @t44 (= @t225 (or @t184 @t43)))) 120.90/121.41 (assume @p96 (forall @t274 (=> @t74 @t290))) 120.90/121.41 (assume @p97 (forall @t202 (=> @t216 (=> (_ (_ tptp.ord_less_eq_nat @t198) @t89) @t293)))) 120.90/121.41 (assume @p98 (forall @t9 (= (= @t8 @t7) @t294))) 120.90/121.41 (assume @p99 (forall @t224 (=> @t251 @t223))) 120.90/121.41 (assume @p100 (not (_ @t128 tptp.zero_zero_int))) 120.90/121.41 (assume @p101 (forall @t295 (= (_ @t126 tptp.zero_zero_int) @t63))) 120.90/121.41 (assume @p102 (forall @t17 (=> (_ @t296 @t13) (_ @t296 (_ (_ tptp.power_power_nat @t13) @t14))))) 120.90/121.41 (assume @p103 (forall @t107 (= (_ @t252 tptp.zero_zero_nat) @t73))) 120.90/121.41 (assume @p104 (forall @t300 (=> @t299 (exists @t59 @t298)))) 120.90/121.41 (assume @p105 (forall @t208 (_ @t30 @t29))) 120.90/121.41 (assume @p106 (forall @t44 (= (_ @t301 @t170) @t204))) 120.90/121.41 (assume @p107 (forall @t283 (=> @t54 (=> (forall @t59 (=> @t56 @t58)) @t149)))) 120.90/121.41 (assume @p108 (forall @t107 (= (_ @t302 @t73) tptp.zero_zero_nat))) 120.90/121.41 (assume @p109 (forall @t268 (=> (= @t304 @t303) (=> @t85 (=> @t265 @t64))))) 120.90/121.41 (assume @p110 (forall @t306 (=> @t305 (not @t104)))) 120.90/121.41 (assume @p111 (forall @t295 (_ @t213 @t63))) 120.90/121.41 (assume @p112 (forall @t105 (=> @t284 (=> @t102 @t307)))) 120.90/121.41 (assume @p113 (forall @t309 (=> @t308 (=> @t284 @t104)))) 120.90/121.41 (assume @p114 (forall @t208 (= (= tptp.zero_zero_int @t29) (= @t29 tptp.zero_zero_int)))) 120.90/121.41 (assume @p115 (forall @t311 (= (= @t7 @t8) @t310))) 120.90/121.41 (assume @p116 (forall @t44 (=> @t43 @t109))) 120.90/121.41 (assume @p117 (forall @t68 (=> @t142 (=> @t216 @t64)))) 120.90/121.41 (assume @p118 (forall @t27 (not (= @t50 tptp.zero_zero_nat)))) 120.90/121.41 (assume @p119 (forall (@list @t13 @t69 @t53) (=> @t317 (=> (forall @t316 (=> (= @t69 @t314) @t313)) (=> (forall @t316 (=> (_ @t315 @t69) (=> (_ @t53 @t314) @t313))) (_ @t53 @t13)))))) 120.90/121.41 (assume @p120 (forall @t283 (=> @t54 (=> (forall @t59 (=> @t319 (=> @t218 (exists @t282 (and @t318 @t281))))) @t149)))) 120.90/121.41 (assume @p121 (forall @t325 (=> (forall @t59 (_ (_ tptp.ord_less_eq_int @t324) @t323)) (=> @t165 (_ (_ tptp.ord_less_eq_int @t322) @t321))))) 120.90/121.41 (assume @p122 (forall @t44 (= @t326 @t209))) 120.90/121.41 (assume @p123 (forall @t44 (= (_ tptp.semiri2019852685at_int @t327) (_ (_ tptp.power_power_int @t152) @t14)))) 120.90/121.41 (assume @p124 (forall (@list @t13 @t69 @t328) (=> @t317 (=> (forall @t316 (_ @t330 @t314)) (=> (forall (@list @t312 @t260 @t329) (=> (_ @t315 @t260) (=> (_ (_ tptp.ord_less_nat @t260) @t329) (=> (_ @t330 @t260) (=> (_ (_ @t328 @t260) @t329) (_ @t330 @t329)))))) (_ (_ @t328 @t13) @t69)))))) 120.90/121.41 (assume @p125 (forall @t44 (=> @t43 @t277))) 120.90/121.41 (assume @p126 (forall @t295 (= (_ @t126 @t63) tptp.zero_zero_int))) 120.90/121.41 (assume @p127 (forall @t337 (=> (_ @t213 @t336) @t335))) 120.90/121.41 (assume @p128 (forall @t311 (= (_ (_ tptp.ord_less_int @t7) @t8) @t338))) 120.90/121.41 (assume @p129 (forall @t242 (=> @t241 (=> @t240 (= (= @t238 @t237) @t169))))) 120.90/121.41 (assume @p130 (forall @t68 (=> @t67 @t142))) 120.90/121.41 (assume @p131 (forall @t217 (=> @t201 (=> @t215 @t339)))) 120.90/121.41 (assume @p132 (forall @t269 (=> @t142 (_ (_ tptp.ord_less_eq_int @t341) @t340)))) 120.90/121.41 (assume @p133 (forall @t120 (=> @t47 (=> @t116 @t119)))) 120.90/121.41 (assume @p134 (forall @t242 (=> @t241 (=> @t240 (= (_ (_ tptp.ord_less_eq_nat @t238) @t237) @t204))))) 120.90/121.41 (assume @p135 (forall @t217 (=> @t201 (_ @t343 @t342)))) 120.90/121.41 (assume @p136 (forall @t151 (= (exists @t148 (and @t147 @t150)) (or (exists @t148 (and @t344 @t146)) @t54)))) 120.90/121.41 (assume @p137 (forall @t353 (=> (_ @t213 @t352) @t351))) 120.90/121.41 (assume @p138 (forall @t295 (not (_ @t200 @t63)))) 120.90/121.41 (assume @p139 (forall @t44 (=> @t52 @t43))) 120.90/121.41 (assume @p140 (forall @t306 (=> @t305 @t354))) 120.90/121.41 (assume @p141 (forall @t120 (=> @t133 (=> (_ @t135 @t112) (_ @t132 @t112))))) 120.90/121.41 (assume @p142 (forall @t274 (=> @t284 (=> @t273 @t355)))) 120.90/121.41 (assume @p143 (forall @t309 (=> @t104 @t308))) 120.90/121.41 (assume @p144 (forall @t358 (=> @t354 (=> (_ @t356 @t3) @t357)))) 120.90/121.41 (assume @p145 (forall @t360 (=> @t77 (=> @t76 (=> @t19 (= @t359 @t284)))))) 120.90/121.41 (assume @p146 (forall @t151 (= @t361 (and @t149 (forall @t148 (=> @t146 @t147)))))) 120.90/121.41 (assume @p147 (forall (@list @t73 @t3 @t53) (=> @t104 (=> @t285 (=> (not (_ @t53 @t3)) (exists (@list @t362) (and (_ @t245 @t362) (forall (@list @t364) (=> (and (_ @t245 @t364) (_ (_ tptp.ord_less_nat @t364) @t362)) (_ @t53 @t364))) (forall (@list @t363) (=> (forall @t288 (=> (and (_ @t245 @t94) (_ @t96 @t363)) @t286)) (_ (_ tptp.ord_less_eq_nat @t363) @t362))) (_ (_ tptp.ord_less_eq_nat @t362) @t3)))))))) 120.90/121.41 (assume @p148 (forall @t107 (_ @t245 @t73))) 120.90/121.41 (assume @p149 (_ @t75 tptp.zero_zero_nat)) 120.90/121.41 (assume @p150 (forall @t368 (=> @t216 (=> @t367 @t366)))) 120.90/121.41 (assume @p151 (forall @t27 (not (_ @t275 tptp.zero_zero_nat)))) 120.90/121.41 (assume @p152 (forall @t211 (= (_ @t18 (_ @t15 @t23)) @t43))) 120.90/121.41 (assume @p153 (forall @t22 (= (_ @t143 @t106) @t20))) 120.90/121.41 (assume @p154 (forall @t376 (=> (forall @t374 (=> (_ (_ tptp.ord_less_int @t371) @t370) @t373)) (=> (forall (@list @t371) (_ @t372 @t371)) @t375)))) 120.90/121.41 (assume @p155 (forall @t211 (=> @t377 (= (_ tptp.semiri1382578993at_nat @t236) (_ (_ tptp.minus_minus_nat @t25) @t205))))) 120.90/121.41 (assume @p156 (forall @t27 (= (_ @t301 tptp.zero_zero_int) @t24))) 120.90/121.41 (assume @p157 (forall @t300 (=> @t378 (not (forall @t59 (=> @t298 (not @t319))))))) 120.90/121.41 (assume @p158 (forall @t22 (= (_ (_ tptp.power_power_nat tptp.zero_zero_nat) @t61) tptp.zero_zero_nat))) 120.90/121.41 (assume @p159 (forall @t22 (= (_ (_ tptp.power_power_int tptp.zero_zero_int) @t61) tptp.zero_zero_int))) 120.90/121.41 (assume @p160 (forall @t274 (=> @t74 @t379))) 120.90/121.41 (assume @p161 (forall @t217 (=> @t216 (_ @t258 @t342)))) 120.90/121.41 (assume @p162 (forall @t182 (= (= tptp.zero_zero_nat @t1) @t181))) 120.90/121.41 (assume @p163 (forall @t44 (=> @t277 @t43))) 120.90/121.41 (assume @p164 (forall @t44 (=> @t276 @t43))) 120.90/121.41 (assume @p165 (= @t387 (lambda @t384 (and @t383 @t382)))) 120.90/121.41 (assume @p166 (forall @t105 (=> @t284 (=> (_ (_ tptp.ord_less_eq_nat @t101) @t89) @t307)))) 120.90/121.41 (assume @p167 (forall @t110 (=> @t176 (not (= @t28 @t29))))) 120.90/121.41 (assume @p168 (forall (@list @t63 @t62 @t390) (=> @t201 (=> (_ @t390 @t63) (=> (not (_ @t390 @t62)) (exists (@list @t388) (and (_ (_ tptp.ord_less_eq_int @t388) @t62) (forall (@list @t391) (=> (forall (@list @t191) (=> (and (_ @t213 @t191) (_ @t193 @t391)) (_ @t390 @t191))) (_ (_ tptp.ord_less_eq_int @t391) @t388))) (forall (@list @t389) (=> (and (_ (_ tptp.ord_less_int @t389) @t388) (_ @t213 @t389)) (_ @t390 @t389))) (_ @t213 @t388)))))))) 120.90/121.41 (assume @p169 (forall @t208 (not (_ @t175 @t29)))) 120.90/121.41 (assume @p170 (_ @t84 tptp.zero_zero_int)) 120.90/121.41 (assume @p171 (forall @t368 (=> @t201 (=> @t367 @t393)))) 120.90/121.41 (assume @p172 (forall @t49 (= @t134 (or @t136 @t48)))) 120.90/121.41 (assume @p173 (forall @t217 (=> @t216 @t394))) 120.90/121.41 (assume @p174 (forall @t129 (=> @t201 (not @t67)))) 120.90/121.41 (assume @p175 (forall @t49 (=> @t133 @t229))) 120.90/121.41 (assume @p176 (forall @t44 (= @t72 @t43))) 120.90/121.41 (assume @p177 (forall @t81 (=> (_ (_ tptp.ord_less_nat @t124) @t123) (=> @t76 @t104)))) 120.90/121.41 (assume @p178 (forall @t325 (=> @t397 (=> @t396 (_ @t395 @t321))))) 120.90/121.41 (assume @p179 (forall @t259 (=> @t201 (=> (_ (_ tptp.ord_less_int @t231) @t212) (_ @t343 @t256))))) 120.90/121.41 (assume @p180 (forall @t151 (= @t361 (and (forall @t148 (=> @t146 @t344)) @t54)))) 120.90/121.41 (assume @p181 (forall @t22 (= (_ @t18 @t205) @t19))) 120.90/121.41 (assume @p182 (forall @t44 (_ (_ tptp.ord_less_eq_nat @t236) @t23))) 120.90/121.41 (assume @p183 (forall @t110 (=> @t31 (=> @t38 @t178)))) 120.90/121.41 (assume @p184 (= @t387 (lambda (@list @t398 @t399) (and (_ (_ tptp.ord_less_eq_nat @t398) @t399) (_ (_ tptp.ord_less_eq_nat @t399) @t398))))) 120.90/121.41 (assume @p185 (= @t160 (lambda @t157 (and @t401 @t400)))) 120.90/121.41 (assume @p186 (= tptp.ord_less_eq_int (lambda @t403 (or (_ (_ tptp.ord_less_int @t154) @t155) @t402)))) 120.90/121.41 (assume @p187 (forall @t44 (= @t244 @t204))) 120.90/121.41 (assume @p188 (forall @t49 (=> @t133 (not (= @t45 @t1))))) 120.90/121.41 (assume @p189 (forall (@list @t45) (=> (not (= @t45 tptp.zero_zero_nat)) (not (forall @t406 (not (= @t45 @t405))))))) 120.90/121.41 (assume @p190 (forall @t235 (=> @t234 (= @t201 (_ @t407 @t231))))) 120.90/121.41 (assume @p191 (forall @t22 (not (= (_ tptp.semiri1382578993at_nat @t61) tptp.zero_zero_nat)))) 120.90/121.41 (assume @p192 (forall @t358 (=> @t305 (=> (_ @t408 @t3) (_ @t408 @t73))))) 120.90/121.41 (assume @p193 (forall @t182 (_ @t75 @t1))) 120.90/121.41 (assume @p194 (forall @t217 (=> @t201 @t410))) 120.90/121.41 (assume @p195 (forall @t414 (=> @t413 @t412))) 120.90/121.41 (assume @p196 (forall @t110 (or @t178 @t174 @t176))) 120.90/121.41 (assume @p197 (forall @t105 (=> @t104 (=> (_ (_ tptp.ord_less_nat @t101) @t89) @t100)))) 120.90/121.41 (assume @p198 (forall @t217 (=> @t64 @t410))) 120.90/121.41 (assume @p199 (forall @t183 (= @t415 (and @t19 @t121)))) 120.90/121.41 (assume @p200 (forall @t422 (=> (forall @t420 (=> (_ (_ tptp.ord_less_eq_nat @t417) @t416) @t419)) @t421))) 120.90/121.41 (assume @p201 (forall @t300 (=> @t299 (not (forall @t59 (not @t298)))))) 120.90/121.41 (assume @p202 (forall @t211 (= (_ (_ tptp.ord_less_eq_nat @t61) @t50) @t377))) 120.90/121.41 (assume @p203 (forall @t337 (=> @t423 @t335))) 120.90/121.41 (assume @p204 (forall @t9 (= (_ (_ tptp.ord_less_int @t8) @t7) @t424))) 120.90/121.41 (assume @p205 (forall @t129 (=> @t65 (=> @t216 @t201)))) 120.90/121.41 (assume @p206 (forall @t22 (= (_ @t302 @t14) tptp.zero_zero_nat))) 120.90/121.41 (assume @p207 (forall @t376 (=> (forall @t374 (=> (_ (_ tptp.ord_less_eq_int @t371) @t370) @t373)) @t375))) 120.90/121.41 (assume @p208 (forall @t22 (= (_ (_ tptp.power_power_nat @t106) @t14) @t106))) 120.90/121.41 (assume @p209 (forall @t428 (=> @t284 (=> @t427 @t426)))) 120.90/121.41 (assume @p210 (forall @t211 (= (_ (_ tptp.ord_less_nat @t61) @t23) (exists (@list @t429) (and (_ @t143 @t429) (= @t23 (_ tptp.suc @t429))))))) 120.90/121.41 (assume @p211 (forall (@list @t23 @t14 @t60) (= (_ (_ tptp.minus_minus_nat @t431) (_ tptp.suc @t60)) (_ (_ tptp.minus_minus_nat @t236) @t60)))) 120.90/121.41 (assume @p212 (forall @t422 (=> (forall @t420 (=> (_ (_ tptp.ord_less_nat @t417) @t416) @t419)) (=> (forall (@list @t417) (_ @t418 @t417)) @t421)))) 120.90/121.41 (assume @p213 (forall @t110 (=> @t32 @t38))) 120.90/121.41 (assume @p214 (forall @t44 (=> @t43 @t276))) 120.90/121.41 (assume @p215 (forall @t311 (= (_ (_ tptp.ord_less_eq_nat @t130) @t131) @t432))) 120.90/121.41 (assume @p216 (forall @t269 (=> @t67 (=> (_ @t407 @t62) (_ @t407 @t63))))) 120.90/121.41 (assume @p217 (forall @t254 (=> @t355 (=> @t249 (= (_ (_ tptp.ord_less_eq_nat (_ @t433 @t73)) (_ @t433 @t3)) @t354))))) 120.90/121.41 (assume @p218 (forall @t368 (=> @t216 (=> (_ (_ tptp.ord_less_eq_int @t352) @t212) @t366)))) 120.90/121.41 (assume @p219 (forall @t269 (=> @t67 (_ (_ tptp.ord_less_int @t341) @t340)))) 120.90/121.41 (assume @p220 (forall @t309 (=> @t104 (not @t305)))) 120.90/121.41 (assume @p221 (forall @t360 (=> @t284 (=> @t77 @t359)))) 120.90/121.41 (assume @p222 (forall @t22 (= (= tptp.zero_zero_int @t170) @t243))) 120.90/121.41 (assume @p223 (forall @t68 (=> @t67 (not @t201)))) 120.90/121.41 (assume @p224 (forall @t41 (=> @t31 (=> @t37 @t40)))) 120.90/121.41 (assume @p225 (forall @t49 (or @t117 @t47))) 120.90/121.41 (assume @p226 (forall @t306 (=> @t305 @t308))) 120.90/121.41 (assume @p227 (forall @t435 (= (_ @t18 (_ (_ tptp.power_power_nat @t130) @t14)) (or @t20 @t434)))) 120.90/121.41 (assume @p228 (forall @t110 (=> @t178 @t31))) 120.90/121.41 (assume @p229 (forall @t428 (=> @t104 (=> @t427 @t437)))) 120.90/121.41 (assume @p230 (forall @t368 (=> @t201 (=> (_ (_ tptp.ord_less_int @t352) @t212) @t393)))) 120.90/121.41 (assume @p231 (forall @t439 (=> @t85 (=> @t265 (=> @t19 (= @t438 @t216)))))) 120.90/121.41 (assume @p232 (forall @t264 (=> @t440 @t262))) 120.90/121.41 (assume @p233 (= (_ tptp.semiri1382578993at_nat tptp.zero_zero_nat) tptp.zero_zero_nat)) 120.90/121.41 (assume @p234 (forall @t27 (= (= @t25 tptp.zero_zero_nat) @t24))) 120.90/121.41 (assume @p235 @t445) 120.90/121.41 (assume @p236 (forall (@list @t320 @t14 @t23) (=> @t397 (= (_ @t395 (_ @t320 @t23)) @t184)))) 120.90/121.41 (assume @p237 (forall (@list @t14 @t63 @t62) (=> @t19 (=> @t85 (=> @t265 (= @t446 @t64)))))) 120.90/121.41 (assume @p238 (forall @t337 (=> @t423 @t447))) 120.90/121.41 (assume @p239 (forall @t107 (= (_ @t252 @t73) tptp.zero_zero_nat))) 120.90/121.41 (assume @p240 (forall (@list @t29 @t28 @t448) (=> @t176 (=> @t174 @t448)))) 120.90/121.41 (assume @p241 (forall @t449 (=> @t38 (= @t31 @t178)))) 120.90/121.41 (assume @p242 (forall @t211 (=> @t377 (= (_ tptp.semiri2019852685at_int @t236) (_ (_ tptp.minus_minus_int @t152) @t170))))) 120.90/121.41 (assume @p243 (forall @t44 (=> @t72 @t43))) 120.90/121.41 (assume @p244 (forall @t435 (= (_ @t128 (_ (_ tptp.power_power_int @t7) @t14)) @t450))) 120.90/121.41 (assume @p245 (forall @t300 (=> @t378 (exists @t59 (and @t298 @t319))))) 120.90/121.41 (assume @p246 (forall @t268 (=> @t446 (=> @t85 (=> @t265 (=> @t19 @t64)))))) 120.90/121.41 (assume @p247 (forall @t208 (exists (@list @t451) (_ @t175 @t451)))) 120.90/121.41 (assume @p248 (forall @t44 (=> @t109 (=> @t326 @t169)))) 120.90/121.41 (assume @p249 (forall (@list @t1 @t45 @t448) (=> @t133 (=> @t136 @t448)))) 120.90/121.41 (assume @p250 (forall @t353 (=> (_ @t200 @t352) @t452))) 120.90/121.41 (assume @p251 (forall @t309 (=> @t284 (=> @t354 @t74)))) 120.90/121.41 (assume @p252 (forall @t49 (=> @t47 (=> @t117 @t48)))) 120.90/121.41 (assume @p253 (forall @t414 (=> (_ @t245 @t198) @t453))) 120.90/121.41 (assume @p254 (forall @t27 (= (= @t152 tptp.zero_zero_int) @t24))) 120.90/121.41 (assume @p255 (forall @t217 (=> @t64 @t394))) 120.90/121.41 (assume @p256 (forall @t428 (=> @t284 (=> (_ (_ tptp.ord_less_eq_int @t336) @t212) @t426)))) 120.90/121.41 (assume @p257 (forall @t325 (=> (forall @t59 (_ (_ tptp.ord_less_eq_int @t323) @t324)) (=> @t165 (_ (_ tptp.ord_less_eq_int @t321) @t322))))) 120.90/121.41 (assume @p258 @t458) 120.90/121.41 (assume @p259 (forall @t311 (= (_ (_ tptp.ord_less_eq_int @t7) @t8) @t432))) 120.90/121.41 (assume @p260 (forall @t461 (not (= tptp.zero_zero_nat @t460)))) 120.90/121.41 (assume @p261 (= @t160 (lambda @t157 (and @t400 @t401)))) 120.90/121.41 (assume @p262 (forall @t182 (exists (@list @t462) (_ @t132 @t462)))) 120.90/121.41 (assume @p263 (forall @t464 (= (_ (_ tptp.minus_minus_nat (_ @t463 @t69)) @t60) (_ (_ tptp.minus_minus_nat (_ @t463 @t60)) @t69)))) 120.90/121.41 (assume @p264 (forall @t107 (not (_ @t103 tptp.zero_zero_nat)))) 120.90/121.41 (assume @p265 @t466) 120.90/121.41 (assume @p266 (forall @t22 (= (not @t19) @t20))) 120.90/121.41 (assume @p267 (= @t387 (lambda @t384 (and @t382 @t383)))) 120.90/121.41 (assume @p268 (forall @t202 (=> @t201 (=> (_ (_ tptp.ord_less_nat @t198) @t89) @t197)))) 120.90/121.41 (assume @p269 (forall @t138 (=> @t117 (= @t47 @t48)))) 120.90/121.41 (assume @p270 (forall @t242 (=> @t241 (=> @t240 (= (_ (_ tptp.ord_less_nat @t238) @t237) @t43))))) 120.90/121.41 (assume @p271 (forall @t182 (not (_ @t132 @t1)))) 120.90/121.41 (assume @p272 (forall (@list @t53 @t10) (=> @t54 (=> (forall @t406 (=> (_ @t53 @t404) (_ @t53 @t405))) (_ @t53 @t10))))) 120.90/121.41 (assume @p273 (forall @t22 (not (= (_ tptp.semiri2019852685at_int @t61) tptp.zero_zero_int)))) 120.90/121.41 (assume @p274 (forall @t129 (=> @t216 (=> @t142 @t64)))) 120.90/121.41 (assume @p275 (forall @t428 (=> @t104 (=> (_ (_ tptp.ord_less_int @t336) @t212) @t437)))) 120.90/121.41 (assume @p276 (forall @t311 (= (= @t130 @t131) @t310))) 120.90/121.41 (assume @p277 (not (_ @t18 tptp.zero_zero_nat))) 120.90/121.41 (assume @p278 (forall @t22 (_ @t143 @t61))) 120.90/121.41 (assume @p279 (forall @t311 (= (_ (_ tptp.ord_less_nat @t130) @t131) @t338))) 120.90/121.41 (assume @p280 (forall @t110 (= @t177 (or @t174 @t178)))) 120.90/121.41 (assume @p281 (forall @t211 (=> @t377 (= @t431 (_ tptp.suc @t236))))) 120.90/121.41 (assume @p282 (forall @t461 (not (= @t460 tptp.zero_zero_nat)))) 120.90/121.41 (assume @p283 (forall @t283 (=> (forall @t59 (=> @t218 (exists @t282 (and @t281 @t318)))) @t149))) 120.90/121.41 (assume @p284 (forall @t182 (_ @t46 @t1))) 120.90/121.41 (assume @p285 (forall @t435 (= (_ @t18 (_ @t467 @t14)) @t450))) 120.90/121.41 (assume @p286 (forall @t44 (= (_ tptp.semiri1382578993at_nat @t327) (_ (_ tptp.power_power_nat @t25) @t14)))) 120.90/121.41 (assume @p287 (forall @t183 (=> @t122 (not @t415)))) 120.90/121.41 (assume @p288 (forall @t22 (not (= @t14 @t61)))) 120.90/121.41 (assume @p289 (forall @t49 (=> (= (_ tptp.suc @t1) (_ tptp.suc @t45)) @t48))) 120.90/121.41 (assume @p290 (forall @t274 (=> @t284 @t379))) 120.90/121.41 (assume @p291 (forall @t107 @t77)) 120.90/121.41 (assume @p292 (forall @t41 (=> @t176 (=> (_ @t173 @t33) (_ @t175 @t33))))) 120.90/121.41 (assume @p293 (forall @t81 (=> @t125 (=> @t77 (=> @t76 (=> @t19 @t74)))))) 120.90/121.41 (assume @p294 (forall @t337 (=> (_ @t200 @t336) @t447))) 120.90/121.41 (assume @p295 (forall @t49 (= @t229 (or @t136 @t133)))) 120.90/121.41 (assume @p296 (forall @t274 (=> @t104 (=> @t357 (_ (_ tptp.ord_less_nat @t253) (_ (_ tptp.minus_minus_nat @t3) @t89)))))) 120.90/121.41 (assume @p297 (forall @t22 (= (_ @t164 tptp.zero_zero_nat) @t20))) 120.90/121.41 (assume @p298 (forall @t449 (=> @t278 (= @t177 @t178)))) 120.90/121.41 (assume @p299 (forall @t168 (=> @t186 (=> @t396 (_ @t185 @t162))))) 120.90/121.41 (assume @p300 (forall @t268 (=> (_ (_ tptp.ord_less_eq_int @t304) @t303) (=> @t265 @t216)))) 120.90/121.41 (assume @p301 (forall @t414 (=> @t413 @t453))) 120.90/121.41 (assume @p302 (forall @t22 (=> @t21 @t469))) 120.90/121.41 (assume @p303 (= (lambda (@list @t473) (exists (@list @t472) (_ @t473 @t472))) (lambda (@list @t471) (exists (@list @t470) (and (forall @t88 (=> (_ (_ tptp.ord_less_nat @t87) @t470) (not (_ @t471 @t87)))) (_ @t471 @t470)))))) 120.90/121.41 (assume @p304 (forall @t414 (=> (_ @t103 @t198) @t412))) 120.90/121.41 (assume @p305 (forall @t353 (=> @t474 @t351))) 120.90/121.41 (assume @p306 (forall @t22 (=> @t19 @t469))) 120.90/121.41 (assume @p307 (forall @t353 (=> @t474 @t452))) 120.90/121.41 (assume @p308 (forall @t86 (=> (not @t139) (not @t140)))) 120.90/121.41 (assume @p309 (forall (@list @t328 @t23 @t14) (=> (forall @t288 (_ @t476 tptp.zero_zero_nat)) (=> (forall (@list @t92) (_ (_ @t328 tptp.zero_zero_nat) @t475)) (=> (forall @t98 (=> (_ @t476 @t92) (_ (_ @t328 (_ tptp.suc @t94)) @t475))) (_ (_ @t328 @t23) @t14)))))) 120.90/121.41 (assume @p310 (forall @t439 (=> @t216 (=> @t85 @t438)))) 120.90/121.41 (assume @p311 (forall @t44 (= (_ @t430 @t61) @t236))) 120.90/121.41 (assume @p312 (forall @t464 (=> @t317 (=> (_ (_ tptp.ord_less_nat @t69) @t60) @t440)))) 120.90/121.41 (assume @p313 (forall @t22 (= (_ @t128 @t170) @t19))) 120.90/121.41 (assume @p314 (forall @t129 (=> @t201 @t65))) 120.90/121.41 (assume @p315 (forall @t9 (= (= @t131 @t130) @t294))) 120.90/121.41 (assume @p316 (forall @t9 (= (_ (_ tptp.ord_less_nat @t131) @t130) @t424))) 120.90/121.41 (assume @p317 (forall @t202 (=> @t216 (=> @t199 @t293)))) 120.90/121.41 (assume @p318 (forall @t306 (=> @t354 (=> @t284 @t74)))) 120.90/121.41 (assume @p319 (forall (@list @t10 @t459) (= (= (_ tptp.suc @t10) @t460) (= @t10 @t459)))) 120.90/121.41 (assume @p320 (forall @t274 (=> @t104 @t290))) 120.90/121.41 (assume @p321 (forall @t27 (= (_ @t227 @t23) tptp.zero_zero_nat))) 120.90/121.41 (assume @p322 @t477) 120.90/121.41 (assume @p323 (forall (@list @t1 @t23) (= (= (_ @t467 @t23) @t106) (or @t24 (= @t1 @t106))))) 120.90/121.41 (assume @p324 (forall @t110 (=> @t177 (=> @t179 @t174)))) 120.90/121.41 (assume @p325 true) 120.90/121.41 (step @p326 (= tptp.ord_less_int @t478) :rule refl :args (@t478)) 120.90/121.41 (step @p327 (= tptp.ord_less_nat @t482) :rule refl :args (@t482)) 120.90/121.41 (step @p328 (= tptp.polyno190918219poly_a @t484) :rule refl :args (@t484)) 120.90/121.41 (step @p329 :rule evaluate :args ((= true false))) 120.90/121.41 ; WARNING: add trust step for TRUST 120.90/121.41 ; trust TRUST PREPROCESS_HO_ELIM 120.90/121.41 (step @p330 :rule trust :premises () :args ((= (forall @t457 (or (not @t494) (= tptp.zero_zero_nat @t492))) (forall @t457 (or (not (_ @t491 (_ @t490 @t489 @t270) (_ @t488 @t487 @t14))) (= tptp.zero_zero_nat (_ @t486 @t485 @t270))))))) 120.90/121.41 (step @p331 :rule refl :args (@t492)) 120.90/121.41 (step @p332 :rule refl :args (@t454)) 120.90/121.41 (step @p333 :rule cong :premises (@p332 @p331) :args ((= @t454 @t492))) 120.90/121.41 (step @p334 :rule symm :premises (@p333)) 120.90/121.41 (step @p335 :rule eq_resolve :premises (@p332 @p334)) 120.90/121.41 (step @p336 :rule refl :args (tptp.zero_zero_nat)) 120.90/121.41 (step @p337 :rule cong :premises (@p336 @p335) :args (@t495)) 120.90/121.41 (step @p338 :rule refl :args ((tptp.polyno1372495879olyh_a @t270 @t61))) 120.90/121.41 (step @p339 :rule refl :args (@t493)) 120.90/121.41 (step @p340 :rule refl :args (@t270)) 120.90/121.41 (step @p341 :rule cong :premises (@p340 @p339) :args (@t494)) 120.90/121.41 (step @p342 :rule trans :premises (@p341 @p338)) 120.90/121.41 (step @p343 :rule refl :args (@t271)) 120.90/121.41 (step @p344 :rule ho_cong :premises (@p343 @p339)) 120.90/121.41 (step @p345 :rule cong :premises (@p344 @p342) :args ((= (_ @t271 @t493) @t494))) 120.90/121.41 (step @p346 :rule symm :premises (@p345)) 120.90/121.41 (step @p347 :rule refl :args (@t455)) 120.90/121.41 (step @p348 :rule eq_resolve :premises (@p347 @p346)) 120.90/121.41 (step @p349 :rule refl :args (@t61)) 120.90/121.41 (step @p350 :rule cong :premises (@p349 @p339) :args ((= @t61 @t493))) 120.90/121.41 (step @p351 :rule symm :premises (@p350)) 120.90/121.41 (step @p352 :rule eq_resolve :premises (@p349 @p351)) 120.90/121.41 (step @p353 :rule ho_cong :premises (@p343 @p352)) 120.90/121.41 (step @p354 :rule trans :premises (@p353 @p348)) 120.90/121.41 (step @p355 :rule cong :premises (@p354) :args (@t496)) 120.90/121.41 (step @p356 :rule nary_cong :premises (@p355 @p337) :args (@t497)) 120.90/121.41 (step @p357 :rule cong :premises (@p356) :args ((forall @t457 @t497))) 120.90/121.41 (step @p358 :rule bool-impl-elim :args (@t455 @t495)) 120.90/121.41 (step @p359 :rule cong :premises (@p358) :args ((forall @t457 (=> @t455 @t495)))) 120.90/121.41 (step @p360 :rule trans :premises (@p359 @p357)) 120.90/121.41 (step @p361 :rule eq-symm :args (@t454 tptp.zero_zero_nat)) 120.90/121.41 (step @p362 :rule refl :args (@t455)) 120.90/121.41 (step @p363 :rule cong :premises (@p362 @p361) :args (@t456)) 120.90/121.41 (step @p364 :rule cong :premises (@p363) :args (@t458)) 120.90/121.41 (step @p365 :rule trans :premises (@p364 @p360)) 120.90/121.41 (step @p366 :rule trans :premises (@p365 @p330)) 120.90/121.41 (step @p367 :rule eq_resolve :premises (@p258 @p366)) 120.90/121.41 (step @p368 :rule instantiate :premises (@p367) :args ((@list tptp.p @t501))) 120.90/121.41 ; trust TRUST PREPROCESS_HO_ELIM 120.90/121.41 (step @p369 :rule trust :premises () :args ((= (not (= tptp.zero_zero_nat @t465)) (not @t502)))) 120.90/121.41 (step @p370 :rule eq-symm :args (@t465 tptp.zero_zero_nat)) 120.90/121.41 (step @p371 :rule cong :premises (@p370) :args (@t466)) 120.90/121.41 (step @p372 :rule trans :premises (@p371 @p369)) 120.90/121.41 (step @p373 :rule eq_resolve :premises (@p265 @p372)) 120.90/121.41 (step @p374 :rule cnf_or_pos :args (@t506)) 120.90/121.41 (step @p375 :rule reordering :premises (@p374) :args ((or @t502 @t505 (not @t506)))) 120.90/121.41 (step @p376 :rule chain_resolution :premises (@p375 @p373 @p368) :args ((@list true false) (@list @t502 @t506))) 120.90/121.41 (step @p377 :rule false_intro :premises (@p376)) 120.90/121.41 ; trust TRUST PREPROCESS_HO_ELIM 120.90/121.41 (step @p378 :rule trust :premises () :args ((= (forall @t22 (or @t243 (not @t511) (= @t14 @t510))) (forall @t22 (or @t243 (not (_ @t491 @t507 @t14)) (= @t14 (_ @t488 @t487 (_ @t488 (_ @t500 @t499 @t14) @t498)))))))) 120.90/121.41 (step @p379 :rule refl :args ((tptp.suc @t441))) 120.90/121.41 (step @p380 :rule refl :args ((tptp.minus_minus_nat @t14 @t106))) 120.90/121.41 (step @p381 :rule refl :args (@t508)) 120.90/121.41 (step @p382 :rule refl :args (@t14)) 120.90/121.41 (step @p383 :rule cong :premises (@p382 @p381) :args (@t509)) 120.90/121.41 (step @p384 :rule trans :premises (@p383 @p380)) 120.90/121.41 (step @p385 :rule cong :premises (@p384) :args (@t510)) 120.90/121.41 (step @p386 :rule trans :premises (@p385 @p379)) 120.90/121.41 (step @p387 :rule refl :args (tptp.suc)) 120.90/121.41 (step @p388 :rule ho_cong :premises (@p387 @p384)) 120.90/121.41 (step @p389 :rule cong :premises (@p388 @p386) :args ((= (_ tptp.suc @t509) @t510))) 120.90/121.41 (step @p390 :rule symm :premises (@p389)) 120.90/121.41 (step @p391 :rule refl :args (@t442)) 120.90/121.41 (step @p392 :rule eq_resolve :premises (@p391 @p390)) 120.90/121.41 (step @p393 :rule refl :args (@t15)) 120.90/121.41 (step @p394 :rule ho_cong :premises (@p393 @p381)) 120.90/121.41 (step @p395 :rule cong :premises (@p394 @p384) :args ((= (_ @t15 @t508) @t509))) 120.90/121.41 (step @p396 :rule symm :premises (@p395)) 120.90/121.41 (step @p397 :rule refl :args (@t441)) 120.90/121.41 (step @p398 :rule eq_resolve :premises (@p397 @p396)) 120.90/121.41 (step @p399 :rule refl :args (@t106)) 120.90/121.41 (step @p400 :rule cong :premises (@p399 @p381) :args ((= @t106 @t508))) 120.90/121.41 (step @p401 :rule symm :premises (@p400)) 120.90/121.41 (step @p402 :rule eq_resolve :premises (@p399 @p401)) 120.90/121.41 (step @p403 :rule ho_cong :premises (@p393 @p402)) 120.90/121.41 (step @p404 :rule trans :premises (@p403 @p398)) 120.90/121.41 (step @p405 :rule ho_cong :premises (@p387 @p404)) 120.90/121.41 (step @p406 :rule trans :premises (@p405 @p392)) 120.90/121.41 (step @p407 :rule cong :premises (@p382 @p406) :args (@t512)) 120.90/121.41 (step @p408 :rule refl :args (@t511)) 120.90/121.41 (step @p409 :rule refl :args (@t230)) 120.90/121.41 (step @p410 :rule cong :premises (@p409 @p408) :args ((= @t230 @t511))) 120.90/121.41 (step @p411 :rule symm :premises (@p410)) 120.90/121.41 (step @p412 :rule eq_resolve :premises (@p409 @p411)) 120.90/121.41 (step @p413 :rule cong :premises (@p412) :args (@t513)) 120.90/121.41 (step @p414 :rule refl :args (@t243)) 120.90/121.41 (step @p415 :rule nary_cong :premises (@p414 @p413 @p407) :args (@t514)) 120.90/121.41 (step @p416 :rule cong :premises (@p415) :args ((forall @t22 @t514))) 120.90/121.41 (step @p417 :rule aci_norm :args ((= (or (or @t243 @t513) @t512) @t514))) 120.90/121.41 (step @p418 :rule refl :args (@t512)) 120.90/121.41 (step @p419 :rule refl :args (@t513)) 120.90/121.41 (step @p420 :rule bool-double-not-elim :args (@t243)) 120.90/121.41 (step @p421 :rule nary_cong :premises (@p420 @p419) :args ((or (not @t515) @t513))) 120.90/121.41 (step @p422 :rule bool-and-de-morgan :args (@t515 @t230 true)) 120.90/121.41 (step @p423 :rule trans :premises (@p422 @p421)) 120.90/121.41 (step @p424 :rule nary_cong :premises (@p423 @p418) :args ((or (not @t516) @t512))) 120.90/121.41 (step @p425 :rule trans :premises (@p424 @p417)) 120.90/121.41 (step @p426 :rule bool-impl-elim :args (@t516 @t512)) 120.90/121.41 (step @p427 :rule trans :premises (@p426 @p425)) 120.90/121.41 (step @p428 :rule cong :premises (@p427) :args ((forall @t22 (=> @t516 @t512)))) 120.90/121.41 (step @p429 :rule trans :premises (@p428 @p416)) 120.90/121.41 (step @p430 :rule eq-symm :args (@t442 @t14)) 120.90/121.41 (step @p431 :rule beta-reduce :args ((= (_ @t517 @t14) @t516))) 120.90/121.41 (step @p432 :rule refl :args (@t14)) 120.90/121.41 (step @p433 :rule beta-reduce :args ((= @t518 @t517))) 120.90/121.41 (step @p434 :rule ho_cong :premises (@p433 @p432)) 120.90/121.41 (step @p435 :rule trans :premises (@p434 @p431)) 120.90/121.41 (step @p436 :rule cong :premises (@p435 @p430) :args (@t519)) 120.90/121.41 (step @p437 :rule cong :premises (@p436) :args ((forall @t22 @t519))) 120.90/121.41 (step @p438 :rule trans :premises (@p437 @p429)) 120.90/121.41 (step @p439 :rule refl :args (@t443)) 120.90/121.41 (step @p440 :rule refl :args (tptp.zero_zero_nat)) 120.90/121.41 (step @p441 :rule refl :args (@t382)) 120.90/121.41 (step @p442 :rule eq-symm :args (@t380 @t381)) 120.90/121.41 (step @p443 :rule cong :premises (@p442) :args (@t479)) 120.90/121.41 (step @p444 :rule nary_cong :premises (@p443 @p441) :args (@t480)) 120.90/121.41 (step @p445 :rule cong :premises (@p444) :args (@t482)) 120.90/121.41 (step @p446 :rule trans :premises (@p327 @p445)) 120.90/121.41 (step @p447 :rule ho_cong :premises (@p446 @p440)) 120.90/121.41 (step @p448 :rule ho_cong :premises (@p447 @p432)) 120.90/121.41 (step @p449 :rule cong :premises (@p448 @p439) :args (@t444)) 120.90/121.41 (step @p450 :rule cong :premises (@p449) :args (@t445)) 120.90/121.41 (step @p451 :rule trans :premises (@p450 @p438)) 120.90/121.41 (step @p452 :rule trans :premises (@p451 @p378)) 120.90/121.41 (step @p453 :rule eq_resolve :premises (@p235 @p452)) 120.90/121.41 (step @p454 :rule instantiate :premises (@p453) :args ((@list tptp.n))) 120.90/121.41 ; trust TRUST PREPROCESS_HO_ELIM 120.90/121.41 (step @p455 :rule trust :premises () :args ((= @t523 (and @t522 @t520)))) 120.90/121.41 (step @p456 :rule beta-reduce :args ((= (_ @t517 tptp.n) @t523))) 120.90/121.41 (step @p457 :rule refl :args (tptp.n)) 120.90/121.41 (step @p458 :rule ho_cong :premises (@p433 @p457)) 120.90/121.41 (step @p459 :rule trans :premises (@p458 @p456)) 120.90/121.41 (step @p460 :rule ho_cong :premises (@p447 @p457)) 120.90/121.41 (step @p461 :rule trans :premises (@p460 @p459)) 120.90/121.41 (step @p462 :rule trans :premises (@p461 @p455)) 120.90/121.41 (step @p463 :rule eq_resolve :premises (@p45 @p462)) 120.90/121.41 (step @p464 :rule and_elim :premises (@p463) :args (1)) 120.90/121.41 (step @p465 :rule and_elim :premises (@p463) :args (0)) 120.90/121.41 (step @p466 :rule cnf_or_pos :args (@t526)) 120.90/121.41 (step @p467 :rule reordering :premises (@p466) :args ((or @t521 @t525 @t524 (not @t526)))) 120.90/121.41 (step @p468 :rule chain_resolution :premises (@p467 @p465 @p464 @p454) :args ((@list true false false) (@list @t521 @t520 @t526))) 120.90/121.41 (step @p469 :rule refl :args (@t504)) 120.90/121.41 (step @p470 :rule cong :premises (@p469 @p468) :args (@t527)) 120.90/121.41 ; trust TRUST PREPROCESS_HO_ELIM 120.90/121.41 (step @p471 :rule trust :premises () :args ((= @t477 @t527))) 120.90/121.41 (step @p472 :rule eq_resolve :premises (@p322 @p471)) 120.90/121.41 (step @p473 :rule true_intro :premises (@p472)) 120.90/121.41 (step @p474 :rule symm :premises (@p473)) 120.90/121.41 (step @p475 :rule trans :premises (@p474 @p470 @p377)) 120.90/121.41 (step @p476 false :rule eq_resolve :premises (@p475 @p329)) 120.90/121.41 ) 120.90/121.41 % SZS output end Proof 120.90/121.41 % cvc5 exiting 120.90/121.42 EOF