%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP151^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:25:12 AM UTC 2026 % Result : Theorem 150.94s 151.59s % Output : Proof 150.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP151^1 : TPTP v9.2.1. Released v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:16:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.37/0.58 %----Proving TH0 % 150.94/151.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.94/151.59 --- 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... % 150.94/151.59 --- 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... % 150.94/151.59 --- Run --ho-elim --full-saturate-quant at 18s... % 150.94/151.59 % SZS status Theorem % 150.94/151.59 % SZS output start Proof % 150.94/151.59 ( % 150.94/151.59 (declare-sort tptp.int 0) % 150.94/151.59 (declare-sort tptp.polyno727731844poly_a 0) % 150.94/151.59 (declare-sort tptp.nat 0) % 150.94/151.59 (declare-const tptp.zero_zero_nat tptp.nat) % 150.94/151.59 (declare-const tptp.polyno1372495879olyh_a (-> tptp.polyno727731844poly_a tptp.nat Bool)) % 150.94/151.59 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 150.94/151.59 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) % 150.94/151.59 (declare-const tptp.p tptp.polyno727731844poly_a) % 150.94/151.59 (declare-const tptp.power_power_nat (-> tptp.nat tptp.nat tptp.nat)) % 150.94/151.59 (declare-const tptp.minus_minus_int (-> tptp.int tptp.int tptp.int)) % 150.94/151.59 (declare-const tptp.zero_zero_int tptp.int) % 150.94/151.59 (declare-const tptp.polyno1674775833reen_a (-> tptp.polyno727731844poly_a tptp.nat tptp.nat)) % 150.94/151.59 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 150.94/151.59 (declare-const tptp.semiri1382578993at_nat (-> tptp.nat tptp.nat)) % 150.94/151.59 (declare-const tptp.semiri2019852685at_int (-> tptp.nat tptp.int)) % 150.94/151.59 (declare-const tptp.polyno578545843gree_a (-> tptp.polyno727731844poly_a tptp.nat)) % 150.94/151.59 (declare-const tptp.power_power_int (-> tptp.int tptp.nat tptp.int)) % 150.94/151.59 (declare-const tptp.minus_minus_nat (-> tptp.nat tptp.nat tptp.nat)) % 150.94/151.59 (declare-const tptp.n tptp.nat) % 150.94/151.59 (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)))) % 150.94/151.59 (define tptp.ord_less_nat () (let ((_let_1 (@var "B3" tptp.nat))) (let ((_let_2 (@var "A3" tptp.nat))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.ord_less_eq_nat _let_1) _let_2) (not (= _let_2 _let_1))))))) % 150.94/151.59 (define tptp.ord_less_int () (let ((_let_1 (@var "B3" tptp.int))) (let ((_let_2 (@var "A3" tptp.int))) (lambda (@list _let_1 _let_2) (and (_ (_ tptp.ord_less_eq_int _let_1) _let_2) (not (= _let_2 _let_1))))))) % 150.94/151.59 (define @t1 () (@var "N" tptp.nat)) % 150.94/151.59 (define @t2 () (_ tptp.ord_less_nat tptp.zero_zero_nat)) % 150.94/151.59 (define @t3 () (_ @t2 @t1)) % 150.94/151.59 (define @t4 () (= @t1 tptp.zero_zero_nat)) % 150.94/151.59 (define @t5 () (not @t4)) % 150.94/151.59 (define @t6 () (@list @t1)) % 150.94/151.59 (define @t7 () (_ tptp.ord_less_nat @t1)) % 150.94/151.59 (define @t8 () (@var "A" tptp.nat)) % 150.94/151.59 (define @t9 () (= @t8 tptp.zero_zero_nat)) % 150.94/151.59 (define @t10 () (not @t9)) % 150.94/151.59 (define @t11 () (@list @t8)) % 150.94/151.59 (define @t12 () (@var "M" tptp.nat)) % 150.94/151.59 (define @t13 () (_ tptp.ord_less_nat @t12)) % 150.94/151.59 (define @t14 () (_ @t13 @t1)) % 150.94/151.59 (define @t15 () (@list @t12 @t1)) % 150.94/151.59 (define @t16 () (@var "P" (-> tptp.nat Bool))) % 150.94/151.59 (define @t17 () (_ @t16 @t1)) % 150.94/151.59 (define @t18 () (@var "M2" tptp.nat)) % 150.94/151.59 (define @t19 () (_ @t16 @t18)) % 150.94/151.59 (define @t20 () (@var "N2" tptp.nat)) % 150.94/151.59 (define @t21 () (_ (_ tptp.ord_less_nat @t18) @t20)) % 150.94/151.59 (define @t22 () (@list @t18)) % 150.94/151.59 (define @t23 () (_ @t16 @t20)) % 150.94/151.59 (define @t24 () (not @t23)) % 150.94/151.59 (define @t25 () (=> @t24 (exists @t22 (and @t21 (not @t19))))) % 150.94/151.59 (define @t26 () (_ @t2 @t20)) % 150.94/151.59 (define @t27 () (@list @t20)) % 150.94/151.59 (define @t28 () (_ @t16 tptp.zero_zero_nat)) % 150.94/151.59 (define @t29 () (@list @t16 @t1)) % 150.94/151.59 (define @t30 () (_ tptp.ord_less_nat @t8)) % 150.94/151.59 (define @t31 () (@var "X" tptp.nat)) % 150.94/151.59 (define @t32 () (= @t31 tptp.zero_zero_nat)) % 150.94/151.59 (define @t33 () (@list @t31)) % 150.94/151.59 (define @t34 () (@var "X" tptp.int)) % 150.94/151.59 (define @t35 () (@list @t34)) % 150.94/151.59 (define @t36 () (@var "Y" tptp.nat)) % 150.94/151.59 (define @t37 () (_ tptp.ord_less_nat @t36)) % 150.94/151.59 (define @t38 () (_ @t37 @t31)) % 150.94/151.59 (define @t39 () (_ tptp.ord_less_nat @t31)) % 150.94/151.59 (define @t40 () (_ @t39 @t36)) % 150.94/151.59 (define @t41 () (not @t40)) % 150.94/151.59 (define @t42 () (= @t31 @t36)) % 150.94/151.59 (define @t43 () (not @t42)) % 150.94/151.59 (define @t44 () (@list @t31 @t36)) % 150.94/151.59 (define @t45 () (@var "T" tptp.nat)) % 150.94/151.59 (define @t46 () (@var "S" tptp.nat)) % 150.94/151.59 (define @t47 () (= @t12 @t1)) % 150.94/151.59 (define @t48 () (not @t47)) % 150.94/151.59 (define @t49 () (_ @t7 @t12)) % 150.94/151.59 (define @t50 () (@list @t1 @t12)) % 150.94/151.59 (define @t51 () (_ tptp.ord_less_int tptp.zero_zero_int)) % 150.94/151.59 (define @t52 () (@var "P3" tptp.polyno727731844poly_a)) % 150.94/151.59 (define @t53 () (_ tptp.polyno1372495879olyh_a @t52)) % 150.94/151.59 (define @t54 () (_ tptp.semiri1382578993at_nat @t1)) % 150.94/151.59 (define @t55 () (_ tptp.semiri2019852685at_int @t1)) % 150.94/151.59 (define @t56 () (_ tptp.polyno578545843gree_a @t52)) % 150.94/151.59 (define @t57 () (_ tptp.suc @t1)) % 150.94/151.59 (define @t58 () (_ @t53 @t57)) % 150.94/151.59 (define @t59 () (=> @t58 (= @t56 tptp.zero_zero_nat))) % 150.94/151.59 (define @t60 () (@list @t52 @t1)) % 150.94/151.59 (define @t61 () (forall @t60 @t59)) % 150.94/151.59 (define @t62 () (@var "Y" tptp.int)) % 150.94/151.59 (define @t63 () (_ tptp.ord_less_int @t62)) % 150.94/151.59 (define @t64 () (_ @t63 @t34)) % 150.94/151.59 (define @t65 () (_ tptp.ord_less_int @t34)) % 150.94/151.59 (define @t66 () (_ @t65 @t62)) % 150.94/151.59 (define @t67 () (not @t66)) % 150.94/151.59 (define @t68 () (= @t34 @t62)) % 150.94/151.59 (define @t69 () (not @t68)) % 150.94/151.59 (define @t70 () (@list @t34 @t62)) % 150.94/151.59 (define @t71 () (@var "B" tptp.nat)) % 150.94/151.59 (define @t72 () (= @t8 @t71)) % 150.94/151.59 (define @t73 () (not @t72)) % 150.94/151.59 (define @t74 () (_ tptp.ord_less_nat @t71)) % 150.94/151.59 (define @t75 () (_ @t74 @t8)) % 150.94/151.59 (define @t76 () (@list @t71 @t8)) % 150.94/151.59 (define @t77 () (@var "B" tptp.int)) % 150.94/151.59 (define @t78 () (@var "A" tptp.int)) % 150.94/151.59 (define @t79 () (= @t78 @t77)) % 150.94/151.59 (define @t80 () (not @t79)) % 150.94/151.59 (define @t81 () (_ tptp.ord_less_int @t77)) % 150.94/151.59 (define @t82 () (_ @t81 @t78)) % 150.94/151.59 (define @t83 () (@list @t77 @t78)) % 150.94/151.59 (define @t84 () (@var "Y2" tptp.nat)) % 150.94/151.59 (define @t85 () (@var "X2" tptp.nat)) % 150.94/151.59 (define @t86 () (_ tptp.suc @t85)) % 150.94/151.59 (define @t87 () (@var "Nat2" tptp.nat)) % 150.94/151.59 (define @t88 () (@var "Nat" tptp.nat)) % 150.94/151.59 (define @t89 () (_ tptp.suc @t87)) % 150.94/151.59 (define @t90 () (_ tptp.semiri2019852685at_int @t12)) % 150.94/151.59 (define @t91 () (_ tptp.suc @t12)) % 150.94/151.59 (define @t92 () (_ tptp.ord_less_nat @t91)) % 150.94/151.59 (define @t93 () (_ @t92 @t57)) % 150.94/151.59 (define @t94 () (= tptp.zero_zero_nat @t1)) % 150.94/151.59 (define @t95 () (= @t12 tptp.zero_zero_nat)) % 150.94/151.59 (define @t96 () (_ tptp.semiri1382578993at_nat @t12)) % 150.94/151.59 (define @t97 () (@list @t12)) % 150.94/151.59 (define @t98 () (_ tptp.ord_less_nat @t96)) % 150.94/151.59 (define @t99 () (_ @t98 @t54)) % 150.94/151.59 (define @t100 () (_ tptp.ord_less_int @t90)) % 150.94/151.59 (define @t101 () (_ @t100 @t55)) % 150.94/151.59 (define @t102 () (_ tptp.suc tptp.zero_zero_nat)) % 150.94/151.59 (define @t103 () (@var "V" tptp.nat)) % 150.94/151.59 (define @t104 () (@list @t87)) % 150.94/151.59 (define @t105 () (_ tptp.suc @t20)) % 150.94/151.59 (define @t106 () (_ @t16 @t105)) % 150.94/151.59 (define @t107 () (@var "P" (-> tptp.nat tptp.nat Bool))) % 150.94/151.59 (define @t108 () (@var "Y3" tptp.nat)) % 150.94/151.59 (define @t109 () (_ tptp.suc @t108)) % 150.94/151.59 (define @t110 () (@var "X3" tptp.nat)) % 150.94/151.59 (define @t111 () (_ @t107 @t110)) % 150.94/151.59 (define @t112 () (@list @t110 @t108)) % 150.94/151.59 (define @t113 () (@list @t110)) % 150.94/151.59 (define @t114 () (@var "K" tptp.nat)) % 150.94/151.59 (define @t115 () (@var "Nat3" tptp.nat)) % 150.94/151.59 (define @t116 () (_ tptp.suc @t115)) % 150.94/151.59 (define @t117 () (@list @t115)) % 150.94/151.59 (define @t118 () (@var "M3" tptp.nat)) % 150.94/151.59 (define @t119 () (exists (@list @t118) (= @t1 (_ tptp.suc @t118)))) % 150.94/151.59 (define @t120 () (@var "J" tptp.nat)) % 150.94/151.59 (define @t121 () (@var "I" tptp.nat)) % 150.94/151.59 (define @t122 () (_ tptp.ord_less_nat @t121)) % 150.94/151.59 (define @t123 () (not (forall (@list @t120) (=> (_ @t122 @t120) (not (= @t114 (_ tptp.suc @t120))))))) % 150.94/151.59 (define @t124 () (_ tptp.suc @t121)) % 150.94/151.59 (define @t125 () (@list @t121 @t114)) % 150.94/151.59 (define @t126 () (_ @t92 @t1)) % 150.94/151.59 (define @t127 () (_ (_ tptp.ord_less_nat @t124) @t114)) % 150.94/151.59 (define @t128 () (not @t14)) % 150.94/151.59 (define @t129 () (_ @t13 @t57)) % 150.94/151.59 (define @t130 () (@var "I2" tptp.nat)) % 150.94/151.59 (define @t131 () (_ @t16 @t130)) % 150.94/151.59 (define @t132 () (_ tptp.ord_less_nat @t130)) % 150.94/151.59 (define @t133 () (_ @t132 @t1)) % 150.94/151.59 (define @t134 () (@list @t130)) % 150.94/151.59 (define @t135 () (_ @t132 @t57)) % 150.94/151.59 (define @t136 () (exists @t134 (and @t135 @t131))) % 150.94/151.59 (define @t137 () (@list @t1 @t16)) % 150.94/151.59 (define @t138 () (_ @t7 @t91)) % 150.94/151.59 (define @t139 () (forall @t134 (=> @t135 @t131))) % 150.94/151.59 (define @t140 () (@var "M4" tptp.nat)) % 150.94/151.59 (define @t141 () (not @t49)) % 150.94/151.59 (define @t142 () (@var "J2" tptp.nat)) % 150.94/151.59 (define @t143 () (_ @t122 @t142)) % 150.94/151.59 (define @t144 () (@list @t121 @t142 @t114)) % 150.94/151.59 (define @t145 () (@var "K2" tptp.nat)) % 150.94/151.59 (define @t146 () (@var "I3" tptp.nat)) % 150.94/151.59 (define @t147 () (_ @t107 @t146)) % 150.94/151.59 (define @t148 () (_ tptp.ord_less_nat @t146)) % 150.94/151.59 (define @t149 () (_ tptp.suc @t146)) % 150.94/151.59 (define @t150 () (@list @t146)) % 150.94/151.59 (define @t151 () (_ @t16 @t146)) % 150.94/151.59 (define @t152 () (@var "N3" tptp.nat)) % 150.94/151.59 (define @t153 () (@var "F" (-> tptp.nat tptp.nat))) % 150.94/151.59 (define @t154 () (_ @t153 @t152)) % 150.94/151.59 (define @t155 () (_ @t153 @t1)) % 150.94/151.59 (define @t156 () (_ tptp.ord_less_nat @t155)) % 150.94/151.59 (define @t157 () (_ @t7 @t152)) % 150.94/151.59 (define @t158 () (_ @t153 @t105)) % 150.94/151.59 (define @t159 () (_ @t153 @t20)) % 150.94/151.59 (define @t160 () (forall @t27 (_ (_ tptp.ord_less_nat @t159) @t158))) % 150.94/151.59 (define @t161 () (@list @t153 @t1 @t152)) % 150.94/151.59 (define @t162 () (@var "F" (-> tptp.nat tptp.int))) % 150.94/151.59 (define @t163 () (_ @t162 @t152)) % 150.94/151.59 (define @t164 () (_ @t162 @t1)) % 150.94/151.59 (define @t165 () (_ tptp.ord_less_int @t164)) % 150.94/151.59 (define @t166 () (_ @t162 @t105)) % 150.94/151.59 (define @t167 () (_ @t162 @t20)) % 150.94/151.59 (define @t168 () (forall @t27 (_ (_ tptp.ord_less_int @t167) @t166))) % 150.94/151.59 (define @t169 () (@list @t162 @t1 @t152)) % 150.94/151.59 (define @t170 () (_ @t16 (_ tptp.suc @t130))) % 150.94/151.59 (define @t171 () (@var "M5" tptp.nat)) % 150.94/151.59 (define @t172 () (@list @t171)) % 150.94/151.59 (define @t173 () (@var "J3" tptp.nat)) % 150.94/151.59 (define @t174 () (@var "C" tptp.nat)) % 150.94/151.59 (define @t175 () (_ @t153 @t174)) % 150.94/151.59 (define @t176 () (_ @t153 @t108)) % 150.94/151.59 (define @t177 () (_ @t153 @t110)) % 150.94/151.59 (define @t178 () (_ tptp.ord_less_nat @t110)) % 150.94/151.59 (define @t179 () (_ @t178 @t108)) % 150.94/151.59 (define @t180 () (forall @t112 (=> @t179 (_ (_ tptp.ord_less_nat @t177) @t176)))) % 150.94/151.59 (define @t181 () (_ @t74 @t174)) % 150.94/151.59 (define @t182 () (=> @t181 (=> @t180 (_ @t30 @t175)))) % 150.94/151.59 (define @t183 () (_ @t153 @t71)) % 150.94/151.59 (define @t184 () (= @t8 @t183)) % 150.94/151.59 (define @t185 () (@list @t8 @t153 @t71 @t174)) % 150.94/151.59 (define @t186 () (_ @t162 @t174)) % 150.94/151.59 (define @t187 () (_ tptp.ord_less_int @t78)) % 150.94/151.59 (define @t188 () (_ @t162 @t108)) % 150.94/151.59 (define @t189 () (_ @t162 @t110)) % 150.94/151.59 (define @t190 () (forall @t112 (=> @t179 (_ (_ tptp.ord_less_int @t189) @t188)))) % 150.94/151.59 (define @t191 () (=> @t181 (=> @t190 (_ @t187 @t186)))) % 150.94/151.59 (define @t192 () (_ @t162 @t71)) % 150.94/151.59 (define @t193 () (= @t78 @t192)) % 150.94/151.59 (define @t194 () (@list @t78 @t162 @t71 @t174)) % 150.94/151.59 (define @t195 () (@var "C" tptp.int)) % 150.94/151.59 (define @t196 () (@var "F" (-> tptp.int tptp.nat))) % 150.94/151.59 (define @t197 () (_ @t196 @t195)) % 150.94/151.59 (define @t198 () (@var "Y3" tptp.int)) % 150.94/151.59 (define @t199 () (_ @t196 @t198)) % 150.94/151.59 (define @t200 () (@var "X3" tptp.int)) % 150.94/151.59 (define @t201 () (_ @t196 @t200)) % 150.94/151.59 (define @t202 () (_ tptp.ord_less_int @t200)) % 150.94/151.59 (define @t203 () (_ @t202 @t198)) % 150.94/151.59 (define @t204 () (@list @t200 @t198)) % 150.94/151.59 (define @t205 () (forall @t204 (=> @t203 (_ (_ tptp.ord_less_nat @t201) @t199)))) % 150.94/151.59 (define @t206 () (_ @t81 @t195)) % 150.94/151.59 (define @t207 () (=> @t206 (=> @t205 (_ @t30 @t197)))) % 150.94/151.59 (define @t208 () (_ @t196 @t77)) % 150.94/151.59 (define @t209 () (= @t8 @t208)) % 150.94/151.59 (define @t210 () (@list @t8 @t196 @t77 @t195)) % 150.94/151.59 (define @t211 () (@var "F" (-> tptp.int tptp.int))) % 150.94/151.59 (define @t212 () (_ @t211 @t195)) % 150.94/151.59 (define @t213 () (_ @t211 @t198)) % 150.94/151.59 (define @t214 () (_ @t211 @t200)) % 150.94/151.59 (define @t215 () (forall @t204 (=> @t203 (_ (_ tptp.ord_less_int @t214) @t213)))) % 150.94/151.59 (define @t216 () (=> @t206 (=> @t215 (_ @t187 @t212)))) % 150.94/151.59 (define @t217 () (_ @t211 @t77)) % 150.94/151.59 (define @t218 () (= @t78 @t217)) % 150.94/151.59 (define @t219 () (@list @t78 @t211 @t77 @t195)) % 150.94/151.59 (define @t220 () (_ @t153 @t8)) % 150.94/151.59 (define @t221 () (=> @t180 (_ (_ tptp.ord_less_nat @t220) @t174))) % 150.94/151.59 (define @t222 () (= @t183 @t174)) % 150.94/151.59 (define @t223 () (_ @t30 @t71)) % 150.94/151.59 (define @t224 () (@list @t8 @t71 @t153 @t174)) % 150.94/151.59 (define @t225 () (_ @t162 @t8)) % 150.94/151.59 (define @t226 () (=> @t190 (_ (_ tptp.ord_less_int @t225) @t195))) % 150.94/151.59 (define @t227 () (= @t192 @t195)) % 150.94/151.59 (define @t228 () (@list @t8 @t71 @t162 @t195)) % 150.94/151.59 (define @t229 () (_ @t196 @t78)) % 150.94/151.59 (define @t230 () (=> @t205 (_ (_ tptp.ord_less_nat @t229) @t174))) % 150.94/151.59 (define @t231 () (= @t208 @t174)) % 150.94/151.59 (define @t232 () (_ @t187 @t77)) % 150.94/151.59 (define @t233 () (@list @t78 @t77 @t196 @t174)) % 150.94/151.59 (define @t234 () (_ @t211 @t78)) % 150.94/151.59 (define @t235 () (=> @t215 (_ (_ tptp.ord_less_int @t234) @t195))) % 150.94/151.59 (define @t236 () (= @t217 @t195)) % 150.94/151.59 (define @t237 () (@list @t78 @t77 @t211 @t195)) % 150.94/151.59 (define @t238 () (@var "X_1" tptp.nat)) % 150.94/151.59 (define @t239 () (@var "X_1" tptp.int)) % 150.94/151.59 (define @t240 () (@list @t8 @t71)) % 150.94/151.59 (define @t241 () (@list @t78 @t77)) % 150.94/151.59 (define @t242 () (not @t38)) % 150.94/151.59 (define @t243 () (not @t64)) % 150.94/151.59 (define @t244 () (@var "Z" tptp.nat)) % 150.94/151.59 (define @t245 () (@list @t31 @t36 @t244)) % 150.94/151.59 (define @t246 () (@var "Z" tptp.int)) % 150.94/151.59 (define @t247 () (@list @t34 @t62 @t246)) % 150.94/151.59 (define @t248 () (_ @t30 @t174)) % 150.94/151.59 (define @t249 () (=> @t181 @t248)) % 150.94/151.59 (define @t250 () (@list @t8 @t71 @t174)) % 150.94/151.59 (define @t251 () (_ @t187 @t195)) % 150.94/151.59 (define @t252 () (=> @t206 @t251)) % 150.94/151.59 (define @t253 () (@list @t78 @t77 @t195)) % 150.94/151.59 (define @t254 () (= @t71 @t174)) % 150.94/151.59 (define @t255 () (= @t77 @t195)) % 150.94/151.59 (define @t256 () (_ @t16 @t8)) % 150.94/151.59 (define @t257 () (_ @t16 @t110)) % 150.94/151.59 (define @t258 () (@var "Y4" tptp.nat)) % 150.94/151.59 (define @t259 () (@list @t36 @t31)) % 150.94/151.59 (define @t260 () (@list @t62 @t34)) % 150.94/151.59 (define @t261 () (@var "P" Bool)) % 150.94/151.59 (define @t262 () (@list @t78)) % 150.94/151.59 (define @t263 () (@var "P5" (-> tptp.nat Bool))) % 150.94/151.59 (define @t264 () (@var "N4" tptp.nat)) % 150.94/151.59 (define @t265 () (@var "X4" tptp.nat)) % 150.94/151.59 (define @t266 () (@var "P4" (-> tptp.nat Bool))) % 150.94/151.59 (define @t267 () (@var "B2" tptp.nat)) % 150.94/151.59 (define @t268 () (@var "A2" tptp.nat)) % 150.94/151.59 (define @t269 () (_ @t107 @t268)) % 150.94/151.59 (define @t270 () (_ @t269 @t267)) % 150.94/151.59 (define @t271 () (@list @t268 @t267)) % 150.94/151.59 (define @t272 () (=> (forall @t271 (=> (_ (_ @t107 @t267) @t268) @t270)) (_ (_ @t107 @t8) @t71))) % 150.94/151.59 (define @t273 () (@list @t107 @t8 @t71)) % 150.94/151.59 (define @t274 () (@var "P" (-> tptp.int tptp.int Bool))) % 150.94/151.59 (define @t275 () (@var "B2" tptp.int)) % 150.94/151.59 (define @t276 () (@var "A2" tptp.int)) % 150.94/151.59 (define @t277 () (_ @t274 @t276)) % 150.94/151.59 (define @t278 () (_ @t277 @t275)) % 150.94/151.59 (define @t279 () (@list @t276 @t275)) % 150.94/151.59 (define @t280 () (=> (forall @t279 (=> (_ (_ @t274 @t275) @t276) @t278)) (_ (_ @t274 @t78) @t77))) % 150.94/151.59 (define @t281 () (@list @t274 @t78 @t77)) % 150.94/151.59 (define @t282 () (_ tptp.ord_less_nat @t174)) % 150.94/151.59 (define @t283 () (@list @t71 @t8 @t174)) % 150.94/151.59 (define @t284 () (_ tptp.ord_less_int @t195)) % 150.94/151.59 (define @t285 () (@list @t77 @t78 @t195)) % 150.94/151.59 (define @t286 () (@var "K" tptp.int)) % 150.94/151.59 (define @t287 () (= @t286 (_ tptp.semiri2019852685at_int @t20))) % 150.94/151.59 (define @t288 () (_ @t51 @t286)) % 150.94/151.59 (define @t289 () (@list @t286)) % 150.94/151.59 (define @t290 () (@var "X_12" tptp.nat)) % 150.94/151.59 (define @t291 () (or (_ @t2 @t31) @t4)) % 150.94/151.59 (define @t292 () (_ tptp.semiri1382578993at_nat @t31)) % 150.94/151.59 (define @t293 () (@list @t31 @t1)) % 150.94/151.59 (define @t294 () (_ tptp.semiri2019852685at_int @t31)) % 150.94/151.59 (define @t295 () (_ tptp.ord_less_eq_nat @t96)) % 150.94/151.59 (define @t296 () (_ tptp.ord_less_eq_int @t90)) % 150.94/151.59 (define @t297 () (_ tptp.minus_minus_nat @t1)) % 150.94/151.59 (define @t298 () (_ @t297 @t102)) % 150.94/151.59 (define @t299 () (_ tptp.suc @t298)) % 150.94/151.60 (define @t300 () (= @t299 @t1)) % 150.94/151.60 (define @t301 () (=> @t3 @t300)) % 150.94/151.60 (define @t302 () (forall @t6 @t301)) % 150.94/151.60 (define @t303 () (_ tptp.ord_less_eq_nat @t31)) % 150.94/151.60 (define @t304 () (_ tptp.ord_less_eq_int @t34)) % 150.94/151.60 (define @t305 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat)) % 150.94/151.60 (define @t306 () (_ @t305 @t8)) % 150.94/151.60 (define @t307 () (_ @t305 @t1)) % 150.94/151.60 (define @t308 () (_ tptp.ord_less_eq_nat @t1)) % 150.94/151.60 (define @t309 () (_ @t308 @t12)) % 150.94/151.60 (define @t310 () (_ tptp.ord_less_eq_nat @t121)) % 150.94/151.60 (define @t311 () (@list @t121 @t1)) % 150.94/151.60 (define @t312 () (_ tptp.minus_minus_int @t78)) % 150.94/151.60 (define @t313 () (_ tptp.minus_minus_nat @t8)) % 150.94/151.60 (define @t314 () (_ tptp.minus_minus_nat tptp.zero_zero_nat)) % 150.94/151.60 (define @t315 () (_ (_ tptp.ord_less_eq_nat @t12) @t1)) % 150.94/151.60 (define @t316 () (_ tptp.power_power_nat @t31)) % 150.94/151.60 (define @t317 () (@var "W" tptp.nat)) % 150.94/151.60 (define @t318 () (_ tptp.power_power_nat @t71)) % 150.94/151.60 (define @t319 () (_ @t318 @t317)) % 150.94/151.60 (define @t320 () (= @t31 @t319)) % 150.94/151.60 (define @t321 () (_ (_ tptp.power_power_nat (_ tptp.semiri1382578993at_nat @t71)) @t317)) % 150.94/151.60 (define @t322 () (@list @t31 @t71 @t317)) % 150.94/151.60 (define @t323 () (_ (_ tptp.power_power_int (_ tptp.semiri2019852685at_int @t71)) @t317)) % 150.94/151.60 (define @t324 () (= @t319 @t31)) % 150.94/151.60 (define @t325 () (@list @t71 @t317 @t31)) % 150.94/151.60 (define @t326 () (_ (_ tptp.power_power_nat @t12) @t1)) % 150.94/151.60 (define @t327 () (_ tptp.minus_minus_nat @t12)) % 150.94/151.60 (define @t328 () (_ @t327 @t1)) % 150.94/151.60 (define @t329 () (= @t328 tptp.zero_zero_nat)) % 150.94/151.60 (define @t330 () (_ tptp.minus_minus_nat @t91)) % 150.94/151.60 (define @t331 () (_ @t330 @t1)) % 150.94/151.60 (define @t332 () (_ tptp.ord_less_eq_int @t77)) % 150.94/151.60 (define @t333 () (_ @t332 @t78)) % 150.94/151.60 (define @t334 () (_ @t312 @t77)) % 150.94/151.60 (define @t335 () (_ tptp.ord_less_eq_int tptp.zero_zero_int)) % 150.94/151.60 (define @t336 () (_ @t303 @t319)) % 150.94/151.60 (define @t337 () (_ (_ tptp.ord_less_eq_nat @t319) @t31)) % 150.94/151.60 (define @t338 () (_ tptp.power_power_nat @t8)) % 150.94/151.60 (define @t339 () (= @t78 tptp.zero_zero_int)) % 150.94/151.60 (define @t340 () (_ tptp.power_power_int @t78)) % 150.94/151.60 (define @t341 () (_ @t340 @t1)) % 150.94/151.60 (define @t342 () (= @t341 tptp.zero_zero_int)) % 150.94/151.60 (define @t343 () (@list @t78 @t1)) % 150.94/151.60 (define @t344 () (_ @t338 @t1)) % 150.94/151.60 (define @t345 () (= @t344 tptp.zero_zero_nat)) % 150.94/151.60 (define @t346 () (@list @t8 @t1)) % 150.94/151.60 (define @t347 () (_ (_ tptp.ord_less_nat @t319) @t31)) % 150.94/151.60 (define @t348 () (_ @t39 @t319)) % 150.94/151.60 (define @t349 () (_ tptp.ord_less_eq_nat @t8)) % 150.94/151.60 (define @t350 () (_ @t349 @t71)) % 150.94/151.60 (define @t351 () (_ @t318 @t1)) % 150.94/151.60 (define @t352 () (_ (_ tptp.ord_less_eq_nat @t344) @t351)) % 150.94/151.60 (define @t353 () (_ @t305 @t71)) % 150.94/151.60 (define @t354 () (@list @t8 @t71 @t1)) % 150.94/151.60 (define @t355 () (_ tptp.ord_less_eq_int @t78)) % 150.94/151.60 (define @t356 () (_ @t355 @t77)) % 150.94/151.60 (define @t357 () (_ tptp.power_power_int @t77)) % 150.94/151.60 (define @t358 () (_ @t357 @t1)) % 150.94/151.60 (define @t359 () (_ (_ tptp.ord_less_eq_int @t341) @t358)) % 150.94/151.60 (define @t360 () (_ @t335 @t77)) % 150.94/151.60 (define @t361 () (_ @t335 @t78)) % 150.94/151.60 (define @t362 () (@list @t78 @t77 @t1)) % 150.94/151.60 (define @t363 () (_ @t335 @t286)) % 150.94/151.60 (define @t364 () (_ @t308 @t152)) % 150.94/151.60 (define @t365 () (_ @t318 @t57)) % 150.94/151.60 (define @t366 () (_ @t338 @t57)) % 150.94/151.60 (define @t367 () (@list @t8 @t1 @t71)) % 150.94/151.60 (define @t368 () (_ @t357 @t57)) % 150.94/151.60 (define @t369 () (_ @t340 @t57)) % 150.94/151.60 (define @t370 () (@list @t78 @t1 @t77)) % 150.94/151.60 (define @t371 () (_ @t310 @t142)) % 150.94/151.60 (define @t372 () (@list @t121 @t142)) % 150.94/151.60 (define @t373 () (_ tptp.ord_less_eq_nat @t71)) % 150.94/151.60 (define @t374 () (_ @t373 @t8)) % 150.94/151.60 (define @t375 () (@var "B3" tptp.nat)) % 150.94/151.60 (define @t376 () (@var "A3" tptp.nat)) % 150.94/151.60 (define @t377 () (_ (_ tptp.ord_less_eq_nat @t376) @t375)) % 150.94/151.60 (define @t378 () (_ (_ tptp.ord_less_eq_nat @t375) @t376)) % 150.94/151.60 (define @t379 () (@list @t376 @t375)) % 150.94/151.60 (define @t380 () (@var "Z2" tptp.nat)) % 150.94/151.60 (define @t381 () (@var "Y5" tptp.nat)) % 150.94/151.60 (define @t382 () (lambda (@list @t381 @t380) (= @t381 @t380))) % 150.94/151.60 (define @t383 () (@var "B3" tptp.int)) % 150.94/151.60 (define @t384 () (@var "A3" tptp.int)) % 150.94/151.60 (define @t385 () (_ (_ tptp.ord_less_eq_int @t384) @t383)) % 150.94/151.60 (define @t386 () (_ (_ tptp.ord_less_eq_int @t383) @t384)) % 150.94/151.60 (define @t387 () (@list @t384 @t383)) % 150.94/151.60 (define @t388 () (@var "Z2" tptp.int)) % 150.94/151.60 (define @t389 () (@var "Y5" tptp.int)) % 150.94/151.60 (define @t390 () (lambda (@list @t389 @t388) (= @t389 @t388))) % 150.94/151.60 (define @t391 () (_ tptp.ord_less_eq_nat @t174)) % 150.94/151.60 (define @t392 () (_ @t391 @t8)) % 150.94/151.60 (define @t393 () (_ tptp.ord_less_eq_int @t195)) % 150.94/151.60 (define @t394 () (_ @t303 @t244)) % 150.94/151.60 (define @t395 () (_ tptp.ord_less_eq_nat @t36)) % 150.94/151.60 (define @t396 () (_ @t395 @t244)) % 150.94/151.60 (define @t397 () (_ @t303 @t36)) % 150.94/151.60 (define @t398 () (_ @t304 @t246)) % 150.94/151.60 (define @t399 () (_ tptp.ord_less_eq_int @t62)) % 150.94/151.60 (define @t400 () (_ @t399 @t246)) % 150.94/151.60 (define @t401 () (_ @t304 @t62)) % 150.94/151.60 (define @t402 () (_ @t349 @t174)) % 150.94/151.60 (define @t403 () (_ @t355 @t195)) % 150.94/151.60 (define @t404 () (_ @t373 @t174)) % 150.94/151.60 (define @t405 () (=> @t404 @t402)) % 150.94/151.60 (define @t406 () (_ @t332 @t195)) % 150.94/151.60 (define @t407 () (=> @t406 @t403)) % 150.94/151.60 (define @t408 () (_ @t395 @t31)) % 150.94/151.60 (define @t409 () (_ @t399 @t34)) % 150.94/151.60 (define @t410 () (not @t397)) % 150.94/151.60 (define @t411 () (_ tptp.ord_less_eq_nat @t244)) % 150.94/151.60 (define @t412 () (_ @t411 @t31)) % 150.94/151.60 (define @t413 () (_ @t411 @t36)) % 150.94/151.60 (define @t414 () (not @t401)) % 150.94/151.60 (define @t415 () (_ tptp.ord_less_eq_int @t246)) % 150.94/151.60 (define @t416 () (_ @t415 @t34)) % 150.94/151.60 (define @t417 () (_ @t415 @t62)) % 150.94/151.60 (define @t418 () (@var "X5" tptp.nat)) % 150.94/151.60 (define @t419 () (@var "Y6" tptp.nat)) % 150.94/151.60 (define @t420 () (@var "X5" tptp.int)) % 150.94/151.60 (define @t421 () (@var "Y6" tptp.int)) % 150.94/151.60 (define @t422 () (_ (_ tptp.ord_less_eq_nat @t110) @t108)) % 150.94/151.60 (define @t423 () (forall @t112 (=> @t422 (_ (_ tptp.ord_less_eq_nat @t177) @t176)))) % 150.94/151.60 (define @t424 () (=> @t423 (_ (_ tptp.ord_less_eq_nat @t220) @t174))) % 150.94/151.60 (define @t425 () (forall @t112 (=> @t422 (_ (_ tptp.ord_less_eq_int @t189) @t188)))) % 150.94/151.60 (define @t426 () (=> @t425 (_ (_ tptp.ord_less_eq_int @t225) @t195))) % 150.94/151.60 (define @t427 () (_ (_ tptp.ord_less_eq_int @t200) @t198)) % 150.94/151.60 (define @t428 () (forall @t204 (=> @t427 (_ (_ tptp.ord_less_eq_nat @t201) @t199)))) % 150.94/151.60 (define @t429 () (=> @t428 (_ (_ tptp.ord_less_eq_nat @t229) @t174))) % 150.94/151.60 (define @t430 () (forall @t204 (=> @t427 (_ (_ tptp.ord_less_eq_int @t214) @t213)))) % 150.94/151.60 (define @t431 () (=> @t430 (_ (_ tptp.ord_less_eq_int @t234) @t195))) % 150.94/151.60 (define @t432 () (=> @t404 (=> @t423 (_ @t349 @t175)))) % 150.94/151.60 (define @t433 () (=> @t404 (=> @t425 (_ @t355 @t186)))) % 150.94/151.60 (define @t434 () (=> @t406 (=> @t428 (_ @t349 @t197)))) % 150.94/151.60 (define @t435 () (=> @t406 (=> @t430 (_ @t355 @t212)))) % 150.94/151.60 (define @t436 () (_ (_ tptp.minus_minus_int @t384) @t383)) % 150.94/151.60 (define @t437 () (_ @t313 @t174)) % 150.94/151.60 (define @t438 () (_ @t297 @t114)) % 150.94/151.60 (define @t439 () (_ @t327 @t114)) % 150.94/151.60 (define @t440 () (_ tptp.ord_less_eq_nat @t114)) % 150.94/151.60 (define @t441 () (_ @t440 @t1)) % 150.94/151.60 (define @t442 () (_ @t440 @t12)) % 150.94/151.60 (define @t443 () (@list @t114 @t12 @t1)) % 150.94/151.60 (define @t444 () (@list @t8 @t174 @t71)) % 150.94/151.60 (define @t445 () (@var "D" tptp.int)) % 150.94/151.60 (define @t446 () (_ tptp.minus_minus_int @t195)) % 150.94/151.60 (define @t447 () (= @t334 (_ @t446 @t445))) % 150.94/151.60 (define @t448 () (@list @t78 @t77 @t195 @t445)) % 150.94/151.60 (define @t449 () (_ tptp.minus_minus_int @t77)) % 150.94/151.60 (define @t450 () (_ @t449 @t195)) % 150.94/151.60 (define @t451 () (_ @t312 @t195)) % 150.94/151.60 (define @t452 () (_ tptp.ord_less_eq_int @t451)) % 150.94/151.60 (define @t453 () (_ @t446 @t77)) % 150.94/151.60 (define @t454 () (_ @t446 @t78)) % 150.94/151.60 (define @t455 () (_ @t449 @t445)) % 150.94/151.60 (define @t456 () (@list @t78 @t77 @t445 @t195)) % 150.94/151.60 (define @t457 () (@var "L" tptp.nat)) % 150.94/151.60 (define @t458 () (_ tptp.minus_minus_nat @t457)) % 150.94/151.60 (define @t459 () (@list @t12 @t1 @t457)) % 150.94/151.60 (define @t460 () (_ tptp.minus_minus_nat @t174)) % 150.94/151.60 (define @t461 () (_ tptp.minus_minus_nat @t121)) % 150.94/151.60 (define @t462 () (_ tptp.ord_less_eq_nat @t102)) % 150.94/151.60 (define @t463 () (= @t344 @t351)) % 150.94/151.60 (define @t464 () (= @t341 @t358)) % 150.94/151.60 (define @t465 () (_ tptp.ord_less_int @t451)) % 150.94/151.60 (define @t466 () (@var "C2" tptp.nat)) % 150.94/151.60 (define @t467 () (@var "D2" tptp.nat)) % 150.94/151.60 (define @t468 () (@var "X6" tptp.nat)) % 150.94/151.60 (define @t469 () (@var "C2" tptp.int)) % 150.94/151.60 (define @t470 () (@var "D2" tptp.int)) % 150.94/151.60 (define @t471 () (@var "P" (-> tptp.int Bool))) % 150.94/151.60 (define @t472 () (@var "X6" tptp.int)) % 150.94/151.60 (define @t473 () (= @t384 @t383)) % 150.94/151.60 (define @t474 () (@list @t383 @t384)) % 150.94/151.60 (define @t475 () (_ (_ tptp.polyno1372495879olyh_a tptp.p) tptp.n)) % 150.94/151.60 (define @t476 () (_ tptp.polyno578545843gree_a tptp.p)) % 150.94/151.60 (define @t477 () (not (= @t476 tptp.zero_zero_nat))) % 150.94/151.60 (define @t478 () (@var "P2" tptp.polyno727731844poly_a)) % 150.94/151.60 (define @t479 () (lambda (@list @t478) (_ (_ tptp.polyno1372495879olyh_a @t478) tptp.zero_zero_nat))) % 150.94/151.60 (define @t480 () (lambda (@list @t375 @t376) (and @t378 (not (= @t376 @t375))))) % 150.94/151.60 (define @t481 () (lambda @t474 (and @t386 (not @t473)))) % 150.94/151.60 (define @t482 () (@const 0 (@ho-elim-sort (-> tptp.polyno727731844poly_a tptp.nat)))) % 150.94/151.60 (define @t483 () (@const 1 (-> (@ho-elim-sort (-> tptp.polyno727731844poly_a tptp.nat)) tptp.polyno727731844poly_a tptp.nat))) % 150.94/151.60 (define @t484 () (@const 2 (@ho-elim-sort (-> tptp.nat tptp.nat)))) % 150.94/151.60 (define @t485 () (@const 3 (-> (@ho-elim-sort (-> tptp.nat tptp.nat)) tptp.nat tptp.nat))) % 150.94/151.60 (define @t486 () (@const 4 (@ho-elim-sort (-> tptp.polyno727731844poly_a tptp.nat Bool)))) % 150.94/151.60 (define @t487 () (@const 5 (-> (@ho-elim-sort (-> tptp.polyno727731844poly_a tptp.nat Bool)) tptp.polyno727731844poly_a (@ho-elim-sort (-> tptp.nat Bool))))) % 150.94/151.60 (define @t488 () (@const 6 (-> (@ho-elim-sort (-> tptp.nat Bool)) tptp.nat Bool))) % 150.94/151.60 (define @t489 () (tptp.polyno578545843gree_a @t52)) % 150.94/151.60 (define @t490 () (tptp.suc @t1)) % 150.94/151.60 (define @t491 () (tptp.polyno1372495879olyh_a @t52 @t490)) % 150.94/151.60 (define @t492 () (= tptp.zero_zero_nat @t56)) % 150.94/151.60 (define @t493 () (not @t58)) % 150.94/151.60 (define @t494 () (or @t493 @t492)) % 150.94/151.60 (define @t495 () (_ @t485 @t484 tptp.zero_zero_nat)) % 150.94/151.60 (define @t496 () (@const 7 (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat)))) % 150.94/151.60 (define @t497 () (@const 8 (-> (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat)) tptp.nat (@ho-elim-sort (-> tptp.nat tptp.nat))))) % 150.94/151.60 (define @t498 () (_ @t485 (_ @t497 @t496 tptp.n) @t495)) % 150.94/151.60 (define @t499 () (= tptp.zero_zero_nat (_ @t483 @t482 tptp.p))) % 150.94/151.60 (define @t500 () (_ @t485 @t484 @t498)) % 150.94/151.60 (define @t501 () (_ @t487 @t486 tptp.p)) % 150.94/151.60 (define @t502 () (not (_ @t488 @t501 @t500))) % 150.94/151.60 (define @t503 () (or @t502 @t499)) % 150.94/151.60 (define @t504 () (_ (@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)) % 150.94/151.60 (define @t505 () (tptp.suc tptp.zero_zero_nat)) % 150.94/151.60 (define @t506 () (tptp.minus_minus_nat @t1 @t505)) % 150.94/151.60 (define @t507 () (tptp.suc @t506)) % 150.94/151.60 (define @t508 () (tptp.ord_less_eq_nat tptp.zero_zero_nat @t1)) % 150.94/151.60 (define @t509 () (= @t1 @t299)) % 150.94/151.60 (define @t510 () (not @t307)) % 150.94/151.60 (define @t511 () (or @t510 @t94 @t509)) % 150.94/151.60 (define @t512 () (not @t94)) % 150.94/151.60 (define @t513 () (and @t307 @t512)) % 150.94/151.60 (define @t514 () (_ @t305 @t376)) % 150.94/151.60 (define @t515 () (@list @t376)) % 150.94/151.60 (define @t516 () (lambda @t515 (and @t514 (not (= tptp.zero_zero_nat @t376))))) % 150.94/151.60 (define @t517 () (not (= @t376 tptp.zero_zero_nat))) % 150.94/151.60 (define @t518 () (and @t514 @t517)) % 150.94/151.60 (define @t519 () (lambda @t515 @t518)) % 150.94/151.60 (define @t520 () (_ @t480 tptp.zero_zero_nat)) % 150.94/151.60 (define @t521 () (=> (_ @t520 @t1) @t300)) % 150.94/151.60 (define @t522 () (= tptp.zero_zero_nat tptp.n)) % 150.94/151.60 (define @t523 () (not @t522)) % 150.94/151.60 (define @t524 () (_ @t488 @t504 tptp.n)) % 150.94/151.60 (define @t525 () (and (_ @t305 tptp.n) @t523)) % 150.94/151.60 (define @t526 () (= tptp.n @t500)) % 150.94/151.60 (define @t527 () (not @t524)) % 150.94/151.60 (define @t528 () (or @t527 @t522 @t526)) % 150.94/151.60 (define @t529 () (_ @t488 @t501 tptp.n)) % 150.94/151.60 (assume @p1 (forall @t6 (= @t5 @t3))) % 150.94/151.60 (assume @p2 (forall @t6 (not (_ @t7 tptp.zero_zero_nat)))) % 150.94/151.60 (assume @p3 (forall @t11 (= @t10 (_ @t2 @t8)))) % 150.94/151.60 (assume @p4 (forall @t6 (= (not @t3) @t4))) % 150.94/151.60 (assume @p5 (forall @t6 (=> @t5 @t3))) % 150.94/151.60 (assume @p6 (forall @t15 (=> @t14 @t5))) % 150.94/151.60 (assume @p7 (forall @t29 (=> @t28 (=> (forall @t27 (=> @t26 @t25)) @t17)))) % 150.94/151.60 (assume @p8 (forall @t11 (not (_ @t30 tptp.zero_zero_nat)))) % 150.94/151.60 (assume @p9 (forall @t33 (= (= tptp.zero_zero_nat @t31) @t32))) % 150.94/151.60 (assume @p10 (forall @t35 (= (= tptp.zero_zero_int @t34) (= @t34 tptp.zero_zero_int)))) % 150.94/151.60 (assume @p11 (forall @t44 (=> @t43 (=> @t41 @t38)))) % 150.94/151.60 (assume @p12 (forall @t29 (=> (forall @t27 @t25) @t17))) % 150.94/151.60 (assume @p13 (forall @t29 (=> (forall @t27 (=> (forall @t22 (=> @t21 @t19)) @t23)) @t17))) % 150.94/151.60 (assume @p14 (forall @t6 (not (_ @t7 @t1)))) % 150.94/151.60 (assume @p15 (forall (@list @t46 @t45) (=> (_ (_ tptp.ord_less_nat @t46) @t45) (not (= @t46 @t45))))) % 150.94/151.60 (assume @p16 (forall @t50 (=> @t49 @t48))) % 150.94/151.60 (assume @p17 (forall @t15 (= @t48 (or @t14 @t49)))) % 150.94/151.60 (assume @p18 (forall @t6 (= @t3 @t5))) % 150.94/151.60 (assume @p19 (not (_ @t2 tptp.zero_zero_nat))) % 150.94/151.60 (assume @p20 (not (_ @t51 tptp.zero_zero_int))) % 150.94/151.60 (assume @p21 (forall (@list @t52 @t1 @t12) (=> (_ @t53 @t1) (=> @t14 (= (_ (_ tptp.polyno1674775833reen_a @t52) @t12) tptp.zero_zero_nat))))) % 150.94/151.60 (assume @p22 (forall @t6 (= (_ @t2 @t54) @t3))) % 150.94/151.60 (assume @p23 (forall @t6 (= (_ @t51 @t55) @t3))) % 150.94/151.60 (assume @p24 @t61) % 150.94/151.60 (assume @p25 (= tptp.zero_zero_nat tptp.zero_zero_nat)) % 150.94/151.60 (assume @p26 (forall @t70 (=> @t69 (=> @t67 @t64)))) % 150.94/151.60 (assume @p27 (forall @t76 (=> @t75 @t73))) % 150.94/151.60 (assume @p28 (forall @t83 (=> @t82 @t80))) % 150.94/151.60 (assume @p29 (forall (@list @t85 @t84) (= (= @t86 (_ tptp.suc @t84)) (= @t85 @t84)))) % 150.94/151.60 (assume @p30 (forall (@list @t88 @t87) (= (= (_ tptp.suc @t88) @t89) (= @t88 @t87)))) % 150.94/151.60 (assume @p31 (forall @t15 (= (= @t90 @t55) @t47))) % 150.94/151.60 (assume @p32 (forall @t6 (_ @t7 @t57))) % 150.94/151.60 (assume @p33 (forall @t15 (=> @t14 @t93))) % 150.94/151.60 (assume @p34 (forall @t15 (= @t93 @t14))) % 150.94/151.60 (assume @p35 (= (_ tptp.semiri1382578993at_nat tptp.zero_zero_nat) tptp.zero_zero_nat)) % 150.94/151.60 (assume @p36 (= (_ tptp.semiri2019852685at_int tptp.zero_zero_nat) tptp.zero_zero_int)) % 150.94/151.60 (assume @p37 (forall @t6 (= (= tptp.zero_zero_nat @t54) @t94))) % 150.94/151.60 (assume @p38 (forall @t6 (= (= tptp.zero_zero_int @t55) @t94))) % 150.94/151.60 (assume @p39 (forall @t97 (= (= @t96 tptp.zero_zero_nat) @t95))) % 150.94/151.60 (assume @p40 (forall @t97 (= (= @t90 tptp.zero_zero_int) @t95))) % 150.94/151.60 (assume @p41 (forall @t15 (= @t99 @t14))) % 150.94/151.60 (assume @p42 (forall @t15 (= @t101 @t14))) % 150.94/151.60 (assume @p43 (forall @t6 (= (_ @t7 @t102) @t4))) % 150.94/151.60 (assume @p44 (forall @t6 (_ @t2 @t57))) % 150.94/151.60 (assume @p45 (forall @t44 (=> (= (_ tptp.suc @t31) (_ tptp.suc @t36)) @t42))) % 150.94/151.60 (assume @p46 (forall @t6 (not (= @t1 @t57)))) % 150.94/151.60 (assume @p47 (forall @t6 (not (= (_ tptp.semiri1382578993at_nat @t57) tptp.zero_zero_nat)))) % 150.94/151.60 (assume @p48 (forall @t6 (not (= (_ tptp.semiri2019852685at_int @t57) tptp.zero_zero_int)))) % 150.94/151.60 (assume @p49 (forall @t33 (=> (not @t32) (not (forall (@list @t103) (not (= @t31 (_ tptp.suc @t103)))))))) % 150.94/151.60 (assume @p50 (forall (@list @t85) (not (= tptp.zero_zero_nat @t86)))) % 150.94/151.60 (assume @p51 (forall @t104 (not (= @t89 tptp.zero_zero_nat)))) % 150.94/151.60 (assume @p52 (forall @t104 (not (= tptp.zero_zero_nat @t89)))) % 150.94/151.60 (assume @p53 (forall (@list @t88 @t85) (=> (= @t88 @t86) (not (= @t88 tptp.zero_zero_nat))))) % 150.94/151.60 (assume @p54 (forall @t29 (=> @t28 (=> (forall @t27 (=> @t23 @t106)) @t17)))) % 150.94/151.60 (assume @p55 (forall (@list @t107 @t12 @t1) (=> (forall @t113 (_ @t111 tptp.zero_zero_nat)) (=> (forall (@list @t108) (_ (_ @t107 tptp.zero_zero_nat) @t109)) (=> (forall @t112 (=> (_ @t111 @t108) (_ (_ @t107 (_ tptp.suc @t110)) @t109))) (_ (_ @t107 @t12) @t1)))))) % 150.94/151.60 (assume @p56 (forall (@list @t16 @t114) (=> (_ @t16 @t114) (=> (forall @t27 (=> @t106 @t23)) @t28)))) % 150.94/151.60 (assume @p57 (forall @t97 (not (= @t91 tptp.zero_zero_nat)))) % 150.94/151.60 (assume @p58 (forall @t97 (not (= tptp.zero_zero_nat @t91)))) % 150.94/151.60 (assume @p59 (forall (@list @t36) (=> (not (= @t36 tptp.zero_zero_nat)) (not (forall @t117 (not (= @t36 @t116))))))) % 150.94/151.60 (assume @p60 (forall (@list @t16 @t88) (=> @t28 (=> (forall @t117 (=> (_ @t16 @t115) (_ @t16 @t116))) (_ @t16 @t88))))) % 150.94/151.60 (assume @p61 (forall @t6 (=> @t5 @t119))) % 150.94/151.60 (assume @p62 (forall @t125 (=> (_ @t122 @t114) (=> (not (= @t114 @t124)) @t123)))) % 150.94/151.60 (assume @p63 (forall @t15 (=> @t126 @t14))) % 150.94/151.60 (assume @p64 (forall @t125 (=> @t127 @t123))) % 150.94/151.60 (assume @p65 (forall @t15 (=> @t14 (=> (not (= @t91 @t1)) @t126)))) % 150.94/151.60 (assume @p66 (forall @t15 (=> @t129 (=> @t128 @t47)))) % 150.94/151.60 (assume @p67 (forall @t15 (=> @t14 @t129))) % 150.94/151.60 (assume @p68 (forall @t137 (= @t136 (or @t17 (exists @t134 (and @t133 @t131)))))) % 150.94/151.60 (assume @p69 (forall @t15 (= @t129 (or @t14 @t47)))) % 150.94/151.60 (assume @p70 (forall @t15 (= @t128 @t138))) % 150.94/151.60 (assume @p71 (forall @t137 (= @t139 (and @t17 (forall @t134 (=> @t133 @t131)))))) % 150.94/151.60 (assume @p72 (forall @t50 (= (_ (_ tptp.ord_less_nat @t57) @t12) (exists (@list @t140) (and (= @t12 (_ tptp.suc @t140)) (_ @t7 @t140)))))) % 150.94/151.60 (assume @p73 (forall @t50 (=> @t141 (=> @t138 @t47)))) % 150.94/151.60 (assume @p74 (forall @t15 (=> @t93 @t14))) % 150.94/151.60 (assume @p75 (forall @t144 (=> @t143 (=> (_ (_ tptp.ord_less_nat @t142) @t114) @t127)))) % 150.94/151.60 (assume @p76 (forall (@list @t121 @t142 @t107) (=> @t143 (=> (forall @t150 (_ @t147 @t149)) (=> (forall (@list @t146 @t120 @t145) (=> (_ @t148 @t120) (=> (_ (_ tptp.ord_less_nat @t120) @t145) (=> (_ @t147 @t120) (=> (_ (_ @t107 @t120) @t145) (_ @t147 @t145)))))) (_ (_ @t107 @t121) @t142)))))) % 150.94/151.60 (assume @p77 (forall (@list @t121 @t142 @t16) (=> @t143 (=> (forall @t150 (=> (= @t142 @t149) @t151)) (=> (forall @t150 (=> (_ @t148 @t142) (=> (_ @t16 @t149) @t151))) (_ @t16 @t121)))))) % 150.94/151.60 (assume @p78 (forall @t50 (=> @t141 (= @t138 (= @t1 @t12))))) % 150.94/151.60 (assume @p79 (forall @t97 (not (_ @t98 tptp.zero_zero_nat)))) % 150.94/151.60 (assume @p80 (forall @t97 (not (_ @t100 tptp.zero_zero_int)))) % 150.94/151.60 (assume @p81 (forall @t15 (=> @t14 @t99))) % 150.94/151.60 (assume @p82 (forall @t15 (=> @t14 @t101))) % 150.94/151.60 (assume @p83 (forall @t15 (=> @t99 @t14))) % 150.94/151.60 (assume @p84 (forall @t15 (=> @t101 @t14))) % 150.94/151.60 (assume @p85 (forall @t161 (=> @t160 (=> @t157 (_ @t156 @t154))))) % 150.94/151.60 (assume @p86 (forall @t169 (=> @t168 (=> @t157 (_ @t165 @t163))))) % 150.94/151.60 (assume @p87 (forall (@list @t153 @t1 @t12) (=> @t160 (= (_ @t156 (_ @t153 @t12)) @t49)))) % 150.94/151.60 (assume @p88 (forall (@list @t162 @t1 @t12) (=> @t168 (= (_ @t165 (_ @t162 @t12)) @t49)))) % 150.94/151.60 (assume @p89 (forall @t137 (= @t136 (or @t28 (exists @t134 (and @t133 @t170)))))) % 150.94/151.60 (assume @p90 (forall @t6 (= @t3 (exists @t172 (= @t1 (_ tptp.suc @t171)))))) % 150.94/151.60 (assume @p91 (forall @t137 (= @t139 (and @t28 (forall @t134 (=> @t133 @t170)))))) % 150.94/151.60 (assume @p92 (forall @t6 (=> @t3 @t119))) % 150.94/151.60 (assume @p93 (forall @t15 (= @t129 (or @t95 (exists (@list @t173) (and (= @t12 (_ tptp.suc @t173)) (_ (_ tptp.ord_less_nat @t173) @t1))))))) % 150.94/151.60 (assume @p94 (forall @t185 (=> @t184 @t182))) % 150.94/151.60 (assume @p95 (forall @t194 (=> @t193 @t191))) % 150.94/151.60 (assume @p96 (forall @t210 (=> @t209 @t207))) % 150.94/151.60 (assume @p97 (forall @t219 (=> @t218 @t216))) % 150.94/151.60 (assume @p98 (forall @t224 (=> @t223 (=> @t222 @t221)))) % 150.94/151.60 (assume @p99 (forall @t228 (=> @t223 (=> @t227 @t226)))) % 150.94/151.60 (assume @p100 (forall @t233 (=> @t232 (=> @t231 @t230)))) % 150.94/151.60 (assume @p101 (forall @t237 (=> @t232 (=> @t236 @t235)))) % 150.94/151.60 (assume @p102 (forall @t185 (=> (_ @t30 @t183) @t182))) % 150.94/151.60 (assume @p103 (forall @t210 (=> (_ @t30 @t208) @t207))) % 150.94/151.60 (assume @p104 (forall @t194 (=> (_ @t187 @t192) @t191))) % 150.94/151.60 (assume @p105 (forall @t219 (=> (_ @t187 @t217) @t216))) % 150.94/151.60 (assume @p106 (forall @t224 (=> @t223 (=> (_ (_ tptp.ord_less_nat @t183) @t174) @t221)))) % 150.94/151.60 (assume @p107 (forall @t228 (=> @t223 (=> (_ (_ tptp.ord_less_int @t192) @t195) @t226)))) % 150.94/151.60 (assume @p108 (forall @t233 (=> @t232 (=> (_ (_ tptp.ord_less_nat @t208) @t174) @t230)))) % 150.94/151.60 (assume @p109 (forall @t237 (=> @t232 (=> (_ (_ tptp.ord_less_int @t217) @t195) @t235)))) % 150.94/151.60 (assume @p110 (forall @t35 (exists (@list @t198) (_ (_ tptp.ord_less_int @t198) @t34)))) % 150.94/151.60 (assume @p111 (forall @t33 (exists (@list @t238) (_ @t39 @t238)))) % 150.94/151.60 (assume @p112 (forall @t35 (exists (@list @t239) (_ @t65 @t239)))) % 150.94/151.60 (assume @p113 (forall @t44 (= @t43 (or @t40 @t38)))) % 150.94/151.60 (assume @p114 (forall @t70 (= @t69 (or @t66 @t64)))) % 150.94/151.60 (assume @p115 (forall @t240 (=> @t223 (not @t75)))) % 150.94/151.60 (assume @p116 (forall @t241 (=> @t232 (not @t82)))) % 150.94/151.60 (assume @p117 (forall @t44 (=> @t40 @t43))) % 150.94/151.60 (assume @p118 (forall @t70 (=> @t66 @t69))) % 150.94/151.60 (assume @p119 (forall @t44 (=> @t40 @t242))) % 150.94/151.60 (assume @p120 (forall @t70 (=> @t66 @t243))) % 150.94/151.60 (assume @p121 (forall @t245 (=> @t40 (=> (_ @t37 @t244) (_ @t39 @t244))))) % 150.94/151.60 (assume @p122 (forall @t247 (=> @t66 (=> (_ @t63 @t246) (_ @t65 @t246))))) % 150.94/151.60 (assume @p123 (forall @t44 (or @t40 @t42 @t38))) % 150.94/151.60 (assume @p124 (forall @t70 (or @t66 @t68 @t64))) % 150.94/151.60 (assume @p125 (forall @t33 (not (_ @t39 @t31)))) % 150.94/151.60 (assume @p126 (forall @t35 (not (_ @t65 @t34)))) % 150.94/151.60 (assume @p127 (forall @t250 (=> @t72 @t249))) % 150.94/151.60 (assume @p128 (forall @t253 (=> @t79 @t252))) % 150.94/151.60 (assume @p129 (forall @t250 (=> @t223 (=> @t254 @t248)))) % 150.94/151.60 (assume @p130 (forall @t253 (=> @t232 (=> @t255 @t251)))) % 150.94/151.60 (assume @p131 (forall @t76 (=> @t75 (not @t223)))) % 150.94/151.60 (assume @p132 (forall @t83 (=> @t82 (not @t232)))) % 150.94/151.60 (assume @p133 (forall (@list @t16 @t8) (=> (forall @t113 (=> (forall (@list @t258) (=> (_ (_ tptp.ord_less_nat @t258) @t110) (_ @t16 @t258))) @t257)) @t256))) % 150.94/151.60 (assume @p134 (forall @t259 (=> @t242 (= @t41 @t42)))) % 150.94/151.60 (assume @p135 (forall @t260 (=> @t243 (= @t67 @t68)))) % 150.94/151.60 (assume @p136 (forall @t44 (=> @t40 (not (= @t36 @t31))))) % 150.94/151.60 (assume @p137 (forall @t70 (=> @t66 (not (= @t62 @t34))))) % 150.94/151.60 (assume @p138 (forall (@list @t31 @t36 @t261) (=> @t40 (=> @t38 @t261)))) % 150.94/151.60 (assume @p139 (forall (@list @t34 @t62 @t261) (=> @t66 (=> @t64 @t261)))) % 150.94/151.60 (assume @p140 (forall @t44 (=> @t41 (=> @t43 @t38)))) % 150.94/151.60 (assume @p141 (forall @t70 (=> @t67 (=> @t69 @t64)))) % 150.94/151.60 (assume @p142 (forall @t11 (not (_ @t30 @t8)))) % 150.94/151.60 (assume @p143 (forall @t262 (not (_ @t187 @t78)))) % 150.94/151.60 (assume @p144 (forall @t250 (=> @t223 @t249))) % 150.94/151.60 (assume @p145 (forall @t253 (=> @t232 @t252))) % 150.94/151.60 (assume @p146 (= (lambda (@list @t266) (exists (@list @t265) (_ @t266 @t265))) (lambda (@list @t263) (exists (@list @t264) (and (_ @t263 @t264) (forall @t172 (=> (_ (_ tptp.ord_less_nat @t171) @t264) (not (_ @t263 @t171))))))))) % 150.94/151.60 (assume @p147 (forall @t273 (=> (forall @t271 (=> (_ (_ tptp.ord_less_nat @t268) @t267) @t270)) (=> (forall (@list @t268) (_ @t269 @t268)) @t272)))) % 150.94/151.60 (assume @p148 (forall @t281 (=> (forall @t279 (=> (_ (_ tptp.ord_less_int @t276) @t275) @t278)) (=> (forall (@list @t276) (_ @t277 @t276)) @t280)))) % 150.94/151.60 (assume @p149 (forall @t283 (=> @t75 (=> (_ @t282 @t71) (_ @t282 @t8))))) % 150.94/151.60 (assume @p150 (forall @t285 (=> @t82 (=> (_ @t284 @t77) (_ @t284 @t78))))) % 150.94/151.60 (assume @p151 (forall @t44 (= @t41 (or @t38 @t42)))) % 150.94/151.60 (assume @p152 (forall @t70 (= @t67 (or @t64 @t68)))) % 150.94/151.60 (assume @p153 (forall @t240 (=> @t223 @t73))) % 150.94/151.60 (assume @p154 (forall @t241 (=> @t232 @t80))) % 150.94/151.60 (assume @p155 (forall @t289 (=> @t288 (not (forall @t27 (=> @t287 (not @t26))))))) % 150.94/151.60 (assume @p156 (forall @t289 (=> @t288 (exists @t27 (and @t26 @t287))))) % 150.94/151.60 (assume @p157 (forall (@list @t16) (=> (not @t28) (=> (exists (@list @t290) (_ @t16 @t290)) (exists @t27 (and @t24 @t106)))))) % 150.94/151.60 (assume @p158 (forall @t293 (= (_ @t2 (_ (_ tptp.power_power_nat @t292) @t1)) @t291))) % 150.94/151.60 (assume @p159 (forall @t293 (= (_ @t51 (_ (_ tptp.power_power_int @t294) @t1)) @t291))) % 150.94/151.60 (assume @p160 (forall @t97 (= (_ @t295 tptp.zero_zero_nat) @t95))) % 150.94/151.60 (assume @p161 (forall @t97 (= (_ @t296 tptp.zero_zero_int) @t95))) % 150.94/151.60 (assume @p162 @t302) % 150.94/151.60 (assume @p163 (forall @t33 (_ @t303 @t31))) % 150.94/151.60 (assume @p164 (forall @t35 (_ @t304 @t34))) % 150.94/151.60 (assume @p165 (forall @t11 @t306)) % 150.94/151.60 (assume @p166 (forall @t6 @t307)) % 150.94/151.60 (assume @p167 (forall @t50 (= (_ (_ tptp.ord_less_eq_nat @t57) @t91) @t309))) % 150.94/151.60 (assume @p168 (forall @t311 (=> (_ @t310 @t1) (= (_ @t297 (_ @t297 @t121)) @t121)))) % 150.94/151.60 (assume @p169 (forall @t6 (= (_ @t308 tptp.zero_zero_nat) @t4))) % 150.94/151.60 (assume @p170 (forall @t262 (= (_ @t312 @t78) tptp.zero_zero_int))) % 150.94/151.60 (assume @p171 (forall @t11 (= (_ @t313 @t8) tptp.zero_zero_nat))) % 150.94/151.60 (assume @p172 (forall @t262 (= (_ @t312 tptp.zero_zero_int) @t78))) % 150.94/151.60 (assume @p173 (forall @t11 (= (_ @t313 tptp.zero_zero_nat) @t8))) % 150.94/151.60 (assume @p174 (forall @t11 (= (_ @t314 @t8) tptp.zero_zero_nat))) % 150.94/151.60 (assume @p175 (forall @t15 (= (_ @t295 @t54) @t315))) % 150.94/151.60 (assume @p176 (forall @t15 (= (_ @t296 @t55) @t315))) % 150.94/151.60 (assume @p177 (forall (@list @t31 @t12) (= (= (_ @t316 @t12) @t102) (or @t95 (= @t31 @t102))))) % 150.94/151.60 (assume @p178 (forall @t6 (= (_ (_ tptp.power_power_nat @t102) @t1) @t102))) % 150.94/151.60 (assume @p179 (forall @t322 (= (= @t292 @t321) @t320))) % 150.94/151.60 (assume @p180 (forall @t322 (= (= @t294 @t323) @t320))) % 150.94/151.60 (assume @p181 (forall @t325 (= (= @t321 @t292) @t324))) % 150.94/151.60 (assume @p182 (forall @t325 (= (= @t323 @t294) @t324))) % 150.94/151.60 (assume @p183 (forall @t15 (= (_ tptp.semiri1382578993at_nat @t326) (_ (_ tptp.power_power_nat @t96) @t1)))) % 150.94/151.60 (assume @p184 (forall @t15 (= (_ tptp.semiri2019852685at_int @t326) (_ (_ tptp.power_power_int @t90) @t1)))) % 150.94/151.60 (assume @p185 (forall @t293 (= (_ @t2 (_ @t316 @t1)) @t291))) % 150.94/151.60 (assume @p186 (forall @t15 (=> @t315 @t329))) % 150.94/151.60 (assume @p187 (forall @t15 (= @t329 @t315))) % 150.94/151.60 (assume @p188 (forall @t97 (= (_ @t327 @t12) tptp.zero_zero_nat))) % 150.94/151.60 (assume @p189 (forall @t6 (= (_ @t314 @t1) tptp.zero_zero_nat))) % 150.94/151.60 (assume @p190 (forall (@list @t12 @t1 @t114) (= (_ (_ tptp.minus_minus_nat @t331) (_ tptp.suc @t114)) (_ (_ tptp.minus_minus_nat @t328) @t114)))) % 150.94/151.60 (assume @p191 (forall @t15 (= (_ @t330 @t57) @t328))) % 150.94/151.60 (assume @p192 (forall @t241 (= (_ @t335 @t334) @t333))) % 150.94/151.60 (assume @p193 (forall @t241 (= (_ @t51 @t334) @t82))) % 150.94/151.60 (assume @p194 (forall @t6 (= (_ (_ tptp.power_power_int tptp.zero_zero_int) @t57) tptp.zero_zero_int))) % 150.94/151.60 (assume @p195 (forall @t6 (= (_ (_ tptp.power_power_nat tptp.zero_zero_nat) @t57) tptp.zero_zero_nat))) % 150.94/151.60 (assume @p196 (forall @t322 (= (_ (_ tptp.ord_less_eq_nat @t292) @t321) @t336))) % 150.94/151.60 (assume @p197 (forall @t322 (= (_ (_ tptp.ord_less_eq_int @t294) @t323) @t336))) % 150.94/151.60 (assume @p198 (forall @t325 (= (_ (_ tptp.ord_less_eq_nat @t321) @t292) @t337))) % 150.94/151.60 (assume @p199 (forall @t325 (= (_ (_ tptp.ord_less_eq_int @t323) @t294) @t337))) % 150.94/151.60 (assume @p200 (forall @t11 (= (_ @t338 @t102) @t8))) % 150.94/151.60 (assume @p201 (forall @t50 (= (_ @t2 (_ @t297 @t12)) @t14))) % 150.94/151.60 (assume @p202 (forall @t343 (= @t342 (and @t339 @t3)))) % 150.94/151.60 (assume @p203 (forall @t346 (= @t345 (and @t9 @t3)))) % 150.94/151.60 (assume @p204 (forall @t325 (= (_ (_ tptp.ord_less_nat @t321) @t292) @t347))) % 150.94/151.60 (assume @p205 (forall @t325 (= (_ (_ tptp.ord_less_int @t323) @t294) @t347))) % 150.94/151.60 (assume @p206 (forall @t322 (= (_ (_ tptp.ord_less_nat @t292) @t321) @t348))) % 150.94/151.60 (assume @p207 (forall @t322 (= (_ (_ tptp.ord_less_int @t294) @t323) @t348))) % 150.94/151.60 (assume @p208 (forall @t354 (=> @t306 (=> @t353 (=> @t3 (= @t352 @t350)))))) % 150.94/151.60 (assume @p209 (forall @t362 (=> @t361 (=> @t360 (=> @t3 (= @t359 @t356)))))) % 150.94/151.60 (assume @p210 (forall @t50 (=> @t309 (= @t331 (_ tptp.suc @t328))))) % 150.94/151.60 (assume @p211 (forall @t289 (=> @t363 (not (forall @t27 (not @t287)))))) % 150.94/151.60 (assume @p212 (forall @t289 (=> @t363 (exists @t27 @t287)))) % 150.94/151.60 (assume @p213 (= tptp.zero_zero_int tptp.zero_zero_int)) % 150.94/151.60 (assume @p214 (forall @t161 (=> (forall @t27 (_ (_ tptp.ord_less_eq_nat @t159) @t158)) (=> @t364 (_ (_ tptp.ord_less_eq_nat @t155) @t154))))) % 150.94/151.60 (assume @p215 (forall @t169 (=> (forall @t27 (_ (_ tptp.ord_less_eq_int @t167) @t166)) (=> @t364 (_ (_ tptp.ord_less_eq_int @t164) @t163))))) % 150.94/151.60 (assume @p216 (forall @t161 (=> (forall @t27 (_ (_ tptp.ord_less_eq_nat @t158) @t159)) (=> @t364 (_ (_ tptp.ord_less_eq_nat @t154) @t155))))) % 150.94/151.60 (assume @p217 (forall @t169 (=> (forall @t27 (_ (_ tptp.ord_less_eq_int @t166) @t167)) (=> @t364 (_ (_ tptp.ord_less_eq_int @t163) @t164))))) % 150.94/151.60 (assume @p218 (forall @t50 (=> @t309 (= (_ tptp.semiri1382578993at_nat @t328) (_ (_ tptp.minus_minus_nat @t96) @t54))))) % 150.94/151.60 (assume @p219 (forall @t50 (=> @t309 (= (_ tptp.semiri2019852685at_int @t328) (_ (_ tptp.minus_minus_int @t90) @t55))))) % 150.94/151.60 (assume @p220 (forall @t367 (=> (= @t366 @t365) (=> @t306 (=> @t353 @t72))))) % 150.94/151.60 (assume @p221 (forall @t370 (=> (= @t369 @t368) (=> @t361 (=> @t360 @t79))))) % 150.94/151.60 (assume @p222 (forall @t372 (=> @t371 (_ (_ tptp.ord_less_eq_nat (_ tptp.semiri1382578993at_nat @t121)) (_ tptp.semiri1382578993at_nat @t142))))) % 150.94/151.60 (assume @p223 (forall @t372 (=> @t371 (_ (_ tptp.ord_less_eq_int (_ tptp.semiri2019852685at_int @t121)) (_ tptp.semiri2019852685at_int @t142))))) % 150.94/151.60 (assume @p224 (forall @t367 (=> (_ (_ tptp.ord_less_eq_nat @t366) @t365) (=> @t353 @t350)))) % 150.94/151.60 (assume @p225 (forall @t370 (=> (_ (_ tptp.ord_less_eq_int @t369) @t368) (=> @t360 @t356)))) % 150.94/151.60 (assume @p226 (forall @t76 (=> @t374 (=> @t350 @t72)))) % 150.94/151.60 (assume @p227 (forall @t83 (=> @t333 (=> @t356 @t79)))) % 150.94/151.60 (assume @p228 (= @t382 (lambda @t379 (and @t378 @t377)))) % 150.94/151.60 (assume @p229 (= @t390 (lambda @t387 (and @t386 @t385)))) % 150.94/151.60 (assume @p230 (forall @t283 (=> @t374 (=> (_ @t391 @t71) @t392)))) % 150.94/151.60 (assume @p231 (forall @t285 (=> @t333 (=> (_ @t393 @t77) (_ @t393 @t78))))) % 150.94/151.60 (assume @p232 (forall @t273 (=> (forall @t271 (=> (_ (_ tptp.ord_less_eq_nat @t268) @t267) @t270)) @t272))) % 150.94/151.60 (assume @p233 (forall @t281 (=> (forall @t279 (=> (_ (_ tptp.ord_less_eq_int @t276) @t275) @t278)) @t280))) % 150.94/151.60 (assume @p234 (forall @t11 (_ @t349 @t8))) % 150.94/151.60 (assume @p235 (forall @t262 (_ @t355 @t78))) % 150.94/151.60 (assume @p236 (forall @t245 (=> @t397 (=> @t396 @t394)))) % 150.94/151.60 (assume @p237 (forall @t247 (=> @t401 (=> @t400 @t398)))) % 150.94/151.60 (assume @p238 (forall @t240 (=> @t350 (=> @t374 @t72)))) % 150.94/151.60 (assume @p239 (forall @t241 (=> @t356 (=> @t333 @t79)))) % 150.94/151.60 (assume @p240 (forall @t250 (=> @t350 (=> @t254 @t402)))) % 150.94/151.60 (assume @p241 (forall @t253 (=> @t356 (=> @t255 @t403)))) % 150.94/151.60 (assume @p242 (forall @t250 (=> @t72 @t405))) % 150.94/151.60 (assume @p243 (forall @t253 (=> @t79 @t407))) % 150.94/151.60 (assume @p244 (= @t382 (lambda @t379 (and @t377 @t378)))) % 150.94/151.60 (assume @p245 (= @t390 (lambda @t387 (and @t385 @t386)))) % 150.94/151.60 (assume @p246 (forall @t259 (=> @t408 (= @t397 @t42)))) % 150.94/151.60 (assume @p247 (forall @t260 (=> @t409 (= @t401 @t68)))) % 150.94/151.60 (assume @p248 (forall @t245 (=> (=> @t397 (not @t396)) (=> (=> @t408 (not @t394)) (=> (=> @t394 (not @t413)) (=> (=> @t413 (not @t408)) (=> (=> @t396 (not @t412)) (not (=> @t412 @t410))))))))) % 150.94/151.60 (assume @p249 (forall @t247 (=> (=> @t401 (not @t400)) (=> (=> @t409 (not @t398)) (=> (=> @t398 (not @t417)) (=> (=> @t417 (not @t409)) (=> (=> @t400 (not @t416)) (not (=> @t416 @t414))))))))) % 150.94/151.60 (assume @p250 (forall @t250 (=> @t350 @t405))) % 150.94/151.60 (assume @p251 (forall @t253 (=> @t356 @t407))) % 150.94/151.60 (assume @p252 (forall @t44 (=> @t410 @t408))) % 150.94/151.60 (assume @p253 (forall @t70 (=> @t414 @t409))) % 150.94/151.60 (assume @p254 (forall @t44 (=> @t42 @t397))) % 150.94/151.60 (assume @p255 (forall @t70 (=> @t68 @t401))) % 150.94/151.60 (assume @p256 (forall @t44 (or @t397 @t408))) % 150.94/151.60 (assume @p257 (forall @t70 (or @t401 @t409))) % 150.94/151.60 (assume @p258 (forall @t44 (=> @t397 (=> @t408 @t42)))) % 150.94/151.60 (assume @p259 (forall @t70 (=> @t401 (=> @t409 @t68)))) % 150.94/151.60 (assume @p260 (= @t382 (lambda (@list @t418 @t419) (and (_ (_ tptp.ord_less_eq_nat @t418) @t419) (_ (_ tptp.ord_less_eq_nat @t419) @t418))))) % 150.94/151.60 (assume @p261 (= @t390 (lambda (@list @t420 @t421) (and (_ (_ tptp.ord_less_eq_int @t420) @t421) (_ (_ tptp.ord_less_eq_int @t421) @t420))))) % 150.94/151.60 (assume @p262 (forall @t224 (=> @t350 (=> @t222 @t424)))) % 150.94/151.60 (assume @p263 (forall @t228 (=> @t350 (=> @t227 @t426)))) % 150.94/151.60 (assume @p264 (forall @t233 (=> @t356 (=> @t231 @t429)))) % 150.94/151.60 (assume @p265 (forall @t237 (=> @t356 (=> @t236 @t431)))) % 150.94/151.60 (assume @p266 (forall @t185 (=> @t184 @t432))) % 150.94/151.60 (assume @p267 (forall @t194 (=> @t193 @t433))) % 150.94/151.60 (assume @p268 (forall @t210 (=> @t209 @t434))) % 150.94/151.60 (assume @p269 (forall @t219 (=> @t218 @t435))) % 150.94/151.60 (assume @p270 (forall @t224 (=> @t350 (=> (_ (_ tptp.ord_less_eq_nat @t183) @t174) @t424)))) % 150.94/151.60 (assume @p271 (forall @t228 (=> @t350 (=> (_ (_ tptp.ord_less_eq_int @t192) @t195) @t426)))) % 150.94/151.60 (assume @p272 (forall @t233 (=> @t356 (=> (_ (_ tptp.ord_less_eq_nat @t208) @t174) @t429)))) % 150.94/151.60 (assume @p273 (forall @t237 (=> @t356 (=> (_ (_ tptp.ord_less_eq_int @t217) @t195) @t431)))) % 150.94/151.60 (assume @p274 (forall @t185 (=> (_ @t349 @t183) @t432))) % 150.94/151.60 (assume @p275 (forall @t210 (=> (_ @t349 @t208) @t434))) % 150.94/151.60 (assume @p276 (forall @t194 (=> (_ @t355 @t192) @t433))) % 150.94/151.60 (assume @p277 (forall @t219 (=> (_ @t355 @t217) @t435))) % 150.94/151.60 (assume @p278 (= tptp.ord_less_eq_int (lambda @t387 (_ (_ tptp.ord_less_eq_int @t436) tptp.zero_zero_int)))) % 150.94/151.60 (assume @p279 (forall @t250 (=> @t223 (=> @t392 (_ (_ tptp.ord_less_nat @t437) (_ (_ tptp.minus_minus_nat @t71) @t174)))))) % 150.94/151.60 (assume @p280 (forall @t443 (=> @t442 (=> @t441 (= (_ (_ tptp.ord_less_nat @t439) @t438) @t14))))) % 150.94/151.60 (assume @p281 (forall @t343 (=> (not @t339) (not @t342)))) % 150.94/151.60 (assume @p282 (forall @t346 (=> @t10 (not @t345)))) % 150.94/151.60 (assume @p283 (forall @t367 (=> (_ (_ tptp.ord_less_nat @t344) @t351) (=> @t353 @t223)))) % 150.94/151.60 (assume @p284 (forall @t370 (=> (_ (_ tptp.ord_less_int @t341) @t358) (=> @t360 @t232)))) % 150.94/151.60 (assume @p285 (forall @t444 (= (_ (_ tptp.minus_minus_nat @t437) @t71) (_ (_ tptp.minus_minus_nat (_ @t313 @t71)) @t174)))) % 150.94/151.60 (assume @p286 (forall @t448 (=> @t447 (= @t356 (_ @t393 @t445))))) % 150.94/151.60 (assume @p287 (forall @t253 (=> @t356 (_ @t452 @t450)))) % 150.94/151.60 (assume @p288 (forall @t285 (=> @t333 (_ (_ tptp.ord_less_eq_int @t454) @t453)))) % 150.94/151.60 (assume @p289 (forall @t346 (=> @t306 (_ @t305 @t344)))) % 150.94/151.60 (assume @p290 (forall @t343 (=> @t361 (_ @t335 @t341)))) % 150.94/151.60 (assume @p291 (forall @t456 (=> @t356 (=> (_ (_ tptp.ord_less_eq_int @t445) @t195) (_ @t452 @t455))))) % 150.94/151.60 (assume @p292 (forall @t354 (=> @t350 (=> @t306 @t352)))) % 150.94/151.60 (assume @p293 (forall @t362 (=> @t356 (=> @t361 @t359)))) % 150.94/151.60 (assume @p294 (forall @t459 (=> @t315 (_ (_ tptp.ord_less_eq_nat (_ @t458 @t1)) (_ @t458 @t12))))) % 150.94/151.60 (assume @p295 (forall @t444 (=> @t402 (=> @t404 (= (_ (_ tptp.ord_less_eq_nat (_ @t460 @t8)) (_ @t460 @t71)) @t374))))) % 150.94/151.60 (assume @p296 (forall @t15 (_ (_ tptp.ord_less_eq_nat @t328) @t12))) % 150.94/151.60 (assume @p297 (forall @t459 (=> @t315 (_ (_ tptp.ord_less_eq_nat (_ @t327 @t457)) (_ @t297 @t457))))) % 150.94/151.60 (assume @p298 (forall @t443 (=> @t442 (=> @t441 (= (_ (_ tptp.minus_minus_nat @t439) @t438) @t328))))) % 150.94/151.60 (assume @p299 (forall @t144 (= (_ (_ tptp.minus_minus_nat (_ @t461 @t142)) @t114) (_ (_ tptp.minus_minus_nat (_ @t461 @t114)) @t142)))) % 150.94/151.60 (assume @p300 (forall @t443 (=> @t442 (=> @t441 (= (_ (_ tptp.ord_less_eq_nat @t439) @t438) @t315))))) % 150.94/151.60 (assume @p301 (forall @t443 (=> @t442 (=> @t441 (= (= @t439 @t438) @t47))))) % 150.94/151.60 (assume @p302 (_ @t335 tptp.zero_zero_int)) % 150.94/151.60 (assume @p303 (forall @t311 (=> (_ @t462 @t121) (_ @t462 (_ (_ tptp.power_power_nat @t121) @t1))))) % 150.94/151.60 (assume @p304 (forall @t367 (=> @t463 (=> @t306 (=> @t353 (=> @t3 @t72)))))) % 150.94/151.60 (assume @p305 (forall @t370 (=> @t464 (=> @t361 (=> @t360 (=> @t3 @t79)))))) % 150.94/151.60 (assume @p306 (forall (@list @t1 @t8 @t71) (=> @t3 (=> @t306 (=> @t353 (= @t463 @t72)))))) % 150.94/151.60 (assume @p307 (forall (@list @t1 @t78 @t77) (=> @t3 (=> @t361 (=> @t360 (= @t464 @t79)))))) % 150.94/151.60 (assume @p308 (= @t390 (lambda @t387 (= @t436 tptp.zero_zero_int)))) % 150.94/151.60 (assume @p309 (forall @t253 (=> @t232 (_ @t465 @t450)))) % 150.94/151.60 (assume @p310 (forall @t285 (=> @t82 (_ (_ tptp.ord_less_int @t454) @t453)))) % 150.94/151.60 (assume @p311 (forall @t448 (=> @t447 (= @t232 (_ @t284 @t445))))) % 150.94/151.60 (assume @p312 (forall @t456 (=> @t232 (=> (_ (_ tptp.ord_less_int @t445) @t195) (_ @t465 @t455))))) % 150.94/151.60 (assume @p313 (forall @t33 (_ @t305 @t31))) % 150.94/151.60 (assume @p314 (_ @t305 tptp.zero_zero_nat)) % 150.94/151.60 (assume @p315 (forall (@list @t8 @t71 @t16) (=> @t223 (=> @t256 (=> (not (_ @t16 @t71)) (exists (@list @t466) (and (_ @t349 @t466) (_ (_ tptp.ord_less_eq_nat @t466) @t71) (forall (@list @t468) (=> (and (_ @t349 @t468) (_ (_ tptp.ord_less_nat @t468) @t466)) (_ @t16 @t468))) (forall (@list @t467) (=> (forall @t113 (=> (and (_ @t349 @t110) (_ @t178 @t467)) @t257)) (_ (_ tptp.ord_less_eq_nat @t467) @t466)))))))))) % 150.94/151.60 (assume @p316 (forall (@list @t78 @t77 @t471) (=> @t232 (=> (_ @t471 @t78) (=> (not (_ @t471 @t77)) (exists (@list @t469) (and (_ @t355 @t469) (_ (_ tptp.ord_less_eq_int @t469) @t77) (forall (@list @t472) (=> (and (_ @t355 @t472) (_ (_ tptp.ord_less_int @t472) @t469)) (_ @t471 @t472))) (forall (@list @t470) (=> (forall (@list @t200) (=> (and (_ @t355 @t200) (_ @t202 @t470)) (_ @t471 @t200))) (_ (_ tptp.ord_less_eq_int @t470) @t469)))))))))) % 150.94/151.60 (assume @p317 (forall @t240 (=> @t73 (=> @t350 @t223)))) % 150.94/151.60 (assume @p318 (forall @t241 (=> @t80 (=> @t356 @t232)))) % 150.94/151.60 (assume @p319 (forall @t76 (=> @t75 @t374))) % 150.94/151.60 (assume @p320 (forall @t83 (=> @t82 @t333))) % 150.94/151.60 (assume @p321 (= tptp.ord_less_eq_int (lambda @t474 (or (_ (_ tptp.ord_less_int @t383) @t384) @t473)))) % 150.94/151.60 (assume @p322 (_ @t2 tptp.n)) % 150.94/151.60 (assume @p323 @t475) % 150.94/151.60 (assume @p324 @t477) % 150.94/151.60 (assume @p325 true) % 150.94/151.60 (step @p326 (= tptp.polyno190918219poly_a @t479) :rule refl :args (@t479)) % 150.94/151.60 (step @p327 (= tptp.ord_less_nat @t480) :rule refl :args (@t480)) % 150.94/151.60 (step @p328 (= tptp.ord_less_int @t481) :rule refl :args (@t481)) % 150.94/151.60 (step @p329 :rule evaluate :args ((= true false))) % 150.94/151.60 ; WARNING: add trust step for TRUST % 150.94/151.60 ; trust TRUST PREPROCESS_HO_ELIM % 150.94/151.60 (step @p330 :rule trust :premises () :args ((= (forall @t60 (or (not @t491) (= tptp.zero_zero_nat @t489))) (forall @t60 (or (not (_ @t488 (_ @t487 @t486 @t52) (_ @t485 @t484 @t1))) (= tptp.zero_zero_nat (_ @t483 @t482 @t52))))))) % 150.94/151.60 (step @p331 :rule refl :args (@t489)) % 150.94/151.60 (step @p332 :rule refl :args (@t56)) % 150.94/151.60 (step @p333 :rule cong :premises (@p332 @p331) :args ((= @t56 @t489))) % 150.94/151.60 (step @p334 :rule symm :premises (@p333)) % 150.94/151.60 (step @p335 :rule eq_resolve :premises (@p332 @p334)) % 150.94/151.60 (step @p336 :rule refl :args (tptp.zero_zero_nat)) % 150.94/151.60 (step @p337 :rule cong :premises (@p336 @p335) :args (@t492)) % 150.94/151.60 (step @p338 :rule refl :args ((tptp.polyno1372495879olyh_a @t52 @t57))) % 150.94/151.60 (step @p339 :rule refl :args (@t490)) % 150.94/151.60 (step @p340 :rule refl :args (@t52)) % 150.94/151.60 (step @p341 :rule cong :premises (@p340 @p339) :args (@t491)) % 150.94/151.60 (step @p342 :rule trans :premises (@p341 @p338)) % 150.94/151.60 (step @p343 :rule refl :args (@t53)) % 150.94/151.60 (step @p344 :rule ho_cong :premises (@p343 @p339)) % 150.94/151.60 (step @p345 :rule cong :premises (@p344 @p342) :args ((= (_ @t53 @t490) @t491))) % 150.94/151.60 (step @p346 :rule symm :premises (@p345)) % 150.94/151.60 (step @p347 :rule refl :args (@t58)) % 150.94/151.60 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 150.94/151.60 (step @p349 :rule refl :args (@t57)) % 150.94/151.60 (step @p350 :rule cong :premises (@p349 @p339) :args ((= @t57 @t490))) % 150.94/151.60 (step @p351 :rule symm :premises (@p350)) % 150.94/151.60 (step @p352 :rule eq_resolve :premises (@p349 @p351)) % 150.94/151.60 (step @p353 :rule ho_cong :premises (@p343 @p352)) % 150.94/151.60 (step @p354 :rule trans :premises (@p353 @p348)) % 150.94/151.60 (step @p355 :rule cong :premises (@p354) :args (@t493)) % 150.94/151.60 (step @p356 :rule nary_cong :premises (@p355 @p337) :args (@t494)) % 150.94/151.60 (step @p357 :rule cong :premises (@p356) :args ((forall @t60 @t494))) % 150.94/151.60 (step @p358 :rule bool-impl-elim :args (@t58 @t492)) % 150.94/151.60 (step @p359 :rule cong :premises (@p358) :args ((forall @t60 (=> @t58 @t492)))) % 150.94/151.60 (step @p360 :rule trans :premises (@p359 @p357)) % 150.94/151.60 (step @p361 :rule eq-symm :args (@t56 tptp.zero_zero_nat)) % 150.94/151.60 (step @p362 :rule refl :args (@t58)) % 150.94/151.60 (step @p363 :rule cong :premises (@p362 @p361) :args (@t59)) % 150.94/151.60 (step @p364 :rule cong :premises (@p363) :args (@t61)) % 150.94/151.60 (step @p365 :rule trans :premises (@p364 @p360)) % 150.94/151.60 (step @p366 :rule trans :premises (@p365 @p330)) % 150.94/151.60 (step @p367 :rule eq_resolve :premises (@p24 @p366)) % 150.94/151.60 (step @p368 :rule instantiate :premises (@p367) :args ((@list tptp.p @t498))) % 150.94/151.60 ; trust TRUST PREPROCESS_HO_ELIM % 150.94/151.60 (step @p369 :rule trust :premises () :args ((= (not (= tptp.zero_zero_nat @t476)) (not @t499)))) % 150.94/151.60 (step @p370 :rule eq-symm :args (@t476 tptp.zero_zero_nat)) % 150.94/151.60 (step @p371 :rule cong :premises (@p370) :args (@t477)) % 150.94/151.60 (step @p372 :rule trans :premises (@p371 @p369)) % 150.94/151.60 (step @p373 :rule eq_resolve :premises (@p324 @p372)) % 150.94/151.60 (step @p374 :rule cnf_or_pos :args (@t503)) % 150.94/151.60 (step @p375 :rule reordering :premises (@p374) :args ((or @t499 @t502 (not @t503)))) % 150.94/151.60 (step @p376 :rule chain_m_resolution :premises (@p375 @p373 @p368) :args (@t502 (@list true false) (@list @t499 @t503))) % 150.94/151.60 (step @p377 :rule false_intro :premises (@p376)) % 150.94/151.60 ; trust TRUST PREPROCESS_HO_ELIM % 150.94/151.60 (step @p378 :rule trust :premises () :args ((= (forall @t6 (or (not @t508) @t94 (= @t1 @t507))) (forall @t6 (or (not (_ @t488 @t504 @t1)) @t94 (= @t1 (_ @t485 @t484 (_ @t485 (_ @t497 @t496 @t1) @t495)))))))) % 150.94/151.60 (step @p379 :rule refl :args ((tptp.suc @t298))) % 150.94/151.60 (step @p380 :rule refl :args ((tptp.minus_minus_nat @t1 @t102))) % 150.94/151.60 (step @p381 :rule refl :args (@t505)) % 150.94/151.60 (step @p382 :rule refl :args (@t1)) % 150.94/151.60 (step @p383 :rule cong :premises (@p382 @p381) :args (@t506)) % 150.94/151.60 (step @p384 :rule trans :premises (@p383 @p380)) % 150.94/151.60 (step @p385 :rule cong :premises (@p384) :args (@t507)) % 150.94/151.60 (step @p386 :rule trans :premises (@p385 @p379)) % 150.94/151.60 (step @p387 :rule refl :args (tptp.suc)) % 150.94/151.60 (step @p388 :rule ho_cong :premises (@p387 @p384)) % 150.94/151.60 (step @p389 :rule cong :premises (@p388 @p386) :args ((= (_ tptp.suc @t506) @t507))) % 150.94/151.60 (step @p390 :rule symm :premises (@p389)) % 150.94/151.60 (step @p391 :rule refl :args (@t299)) % 150.94/151.60 (step @p392 :rule eq_resolve :premises (@p391 @p390)) % 150.94/151.60 (step @p393 :rule refl :args (@t297)) % 150.94/151.60 (step @p394 :rule ho_cong :premises (@p393 @p381)) % 150.94/151.60 (step @p395 :rule cong :premises (@p394 @p384) :args ((= (_ @t297 @t505) @t506))) % 150.94/151.60 (step @p396 :rule symm :premises (@p395)) % 150.94/151.60 (step @p397 :rule refl :args (@t298)) % 150.94/151.60 (step @p398 :rule eq_resolve :premises (@p397 @p396)) % 150.94/151.60 (step @p399 :rule refl :args (@t102)) % 150.94/151.60 (step @p400 :rule cong :premises (@p399 @p381) :args ((= @t102 @t505))) % 150.94/151.60 (step @p401 :rule symm :premises (@p400)) % 150.94/151.60 (step @p402 :rule eq_resolve :premises (@p399 @p401)) % 150.94/151.60 (step @p403 :rule ho_cong :premises (@p393 @p402)) % 150.94/151.60 (step @p404 :rule trans :premises (@p403 @p398)) % 150.94/151.60 (step @p405 :rule ho_cong :premises (@p387 @p404)) % 150.94/151.60 (step @p406 :rule trans :premises (@p405 @p392)) % 150.94/151.60 (step @p407 :rule cong :premises (@p382 @p406) :args (@t509)) % 150.94/151.60 (step @p408 :rule refl :args (@t94)) % 150.94/151.60 (step @p409 :rule refl :args (@t508)) % 150.94/151.60 (step @p410 :rule refl :args (@t307)) % 150.94/151.60 (step @p411 :rule cong :premises (@p410 @p409) :args ((= @t307 @t508))) % 150.94/151.60 (step @p412 :rule symm :premises (@p411)) % 150.94/151.60 (step @p413 :rule eq_resolve :premises (@p410 @p412)) % 150.94/151.60 (step @p414 :rule cong :premises (@p413) :args (@t510)) % 150.94/151.60 (step @p415 :rule nary_cong :premises (@p414 @p408 @p407) :args (@t511)) % 150.94/151.60 (step @p416 :rule cong :premises (@p415) :args ((forall @t6 @t511))) % 150.94/151.60 (step @p417 :rule aci_norm :args ((= (or (or @t510 @t94) @t509) @t511))) % 150.94/151.60 (step @p418 :rule refl :args (@t509)) % 150.94/151.60 (step @p419 :rule bool-double-not-elim :args (@t94)) % 150.94/151.60 (step @p420 :rule refl :args (@t510)) % 150.94/151.60 (step @p421 :rule nary_cong :premises (@p420 @p419) :args ((or @t510 (not @t512)))) % 150.94/151.60 (step @p422 :rule bool-and-de-morgan :args (@t307 @t512 true)) % 150.94/151.60 (step @p423 :rule trans :premises (@p422 @p421)) % 150.94/151.60 (step @p424 :rule nary_cong :premises (@p423 @p418) :args ((or (not @t513) @t509))) % 150.94/151.60 (step @p425 :rule trans :premises (@p424 @p417)) % 150.94/151.60 (step @p426 :rule bool-impl-elim :args (@t513 @t509)) % 150.94/151.60 (step @p427 :rule trans :premises (@p426 @p425)) % 150.94/151.60 (step @p428 :rule cong :premises (@p427) :args ((forall @t6 (=> @t513 @t509)))) % 150.94/151.60 (step @p429 :rule trans :premises (@p428 @p416)) % 150.94/151.60 (step @p430 :rule eq-symm :args (@t299 @t1)) % 150.94/151.60 (step @p431 :rule beta-reduce :args ((= (_ @t516 @t1) @t513))) % 150.94/151.60 (step @p432 :rule refl :args (@t1)) % 150.94/151.60 (step @p433 :rule eq-symm :args (@t376 tptp.zero_zero_nat)) % 150.94/151.60 (step @p434 :rule cong :premises (@p433) :args (@t517)) % 150.94/151.60 (step @p435 :rule refl :args (@t514)) % 150.94/151.60 (step @p436 :rule nary_cong :premises (@p435 @p434) :args (@t518)) % 150.94/151.60 (step @p437 :rule cong :premises (@p436) :args (@t519)) % 150.94/151.60 (step @p438 :rule beta-reduce :args ((= @t520 @t519))) % 150.94/151.60 (step @p439 :rule trans :premises (@p438 @p437)) % 150.94/151.60 (step @p440 :rule ho_cong :premises (@p439 @p432)) % 150.94/151.60 (step @p441 :rule trans :premises (@p440 @p431)) % 150.94/151.60 (step @p442 :rule cong :premises (@p441 @p430) :args (@t521)) % 150.94/151.60 (step @p443 :rule cong :premises (@p442) :args ((forall @t6 @t521))) % 150.94/151.60 (step @p444 :rule trans :premises (@p443 @p429)) % 150.94/151.60 (step @p445 :rule refl :args (@t300)) % 150.94/151.60 (step @p446 :rule refl :args (tptp.zero_zero_nat)) % 150.94/151.60 (step @p447 :rule ho_cong :premises (@p327 @p446)) % 150.94/151.60 (step @p448 :rule ho_cong :premises (@p447 @p432)) % 150.94/151.60 (step @p449 :rule cong :premises (@p448 @p445) :args (@t301)) % 150.94/151.60 (step @p450 :rule cong :premises (@p449) :args (@t302)) % 150.94/151.60 (step @p451 :rule trans :premises (@p450 @p444)) % 150.94/151.60 (step @p452 :rule trans :premises (@p451 @p378)) % 150.94/151.60 (step @p453 :rule eq_resolve :premises (@p162 @p452)) % 150.94/151.60 (step @p454 :rule instantiate :premises (@p453) :args ((@list tptp.n))) % 150.94/151.60 ; trust TRUST PREPROCESS_HO_ELIM % 150.94/151.60 (step @p455 :rule trust :premises () :args ((= @t525 (and @t524 @t523)))) % 150.94/151.60 (step @p456 :rule beta-reduce :args ((= (_ @t516 tptp.n) @t525))) % 150.94/151.60 (step @p457 :rule refl :args (tptp.n)) % 150.94/151.60 (step @p458 :rule ho_cong :premises (@p439 @p457)) % 150.94/151.60 (step @p459 :rule trans :premises (@p458 @p456)) % 150.94/151.60 (step @p460 :rule ho_cong :premises (@p447 @p457)) % 150.94/151.60 (step @p461 :rule trans :premises (@p460 @p459)) % 150.94/151.60 (step @p462 :rule trans :premises (@p461 @p455)) % 150.94/151.60 (step @p463 :rule eq_resolve :premises (@p322 @p462)) % 150.94/151.60 (step @p464 :rule and_elim :premises (@p463) :args (0)) % 150.94/151.60 (step @p465 :rule and_elim :premises (@p463) :args (1)) % 150.94/151.60 (step @p466 :rule cnf_or_pos :args (@t528)) % 150.94/151.60 (step @p467 :rule reordering :premises (@p466) :args ((or @t522 @t527 @t526 (not @t528)))) % 150.94/151.60 (step @p468 :rule chain_m_resolution :premises (@p467 @p465 @p464 @p454) :args (@t526 (@list true false false) (@list @t522 @t524 @t528))) % 150.94/151.60 (step @p469 :rule refl :args (@t501)) % 150.94/151.60 (step @p470 :rule cong :premises (@p469 @p468) :args (@t529)) % 150.94/151.60 ; trust TRUST PREPROCESS_HO_ELIM % 150.94/151.60 (step @p471 :rule trust :premises () :args ((= @t475 @t529))) % 150.94/151.60 (step @p472 :rule eq_resolve :premises (@p323 @p471)) % 150.94/151.60 (step @p473 :rule true_intro :premises (@p472)) % 150.94/151.60 (step @p474 :rule symm :premises (@p473)) % 150.94/151.60 (step @p475 :rule trans :premises (@p474 @p470 @p377)) % 150.94/151.60 (step @p476 false :rule eq_resolve :premises (@p475 @p329)) % 150.94/151.60 ) % 150.94/151.60 % SZS output end Proof % 150.94/151.60 % cvc5 exiting %------------------------------------------------------------------------------