%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM926^1 : TPTP v9.2.1. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:41:06 AM UTC 2026 % Result : Theorem 0.37s 0.65s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM926^1 : TPTP v9.2.1. Released v5.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n013.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 12:33:45 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.52 %----Proving TH0 % 0.37/0.65 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.65 % SZS status Theorem % 0.37/0.65 % SZS output start Proof % 0.37/0.65 ( % 0.37/0.65 (declare-sort tptp.nat 0) % 0.37/0.65 (declare-sort tptp.int 0) % 0.37/0.65 (declare-const tptp.ord_less_eq_nat (-> tptp.nat tptp.nat Bool)) % 0.37/0.65 (declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool)) % 0.37/0.65 (declare-const tptp.one_one_nat tptp.nat) % 0.37/0.65 (declare-const tptp.plus_plus_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.37/0.65 (declare-const tptp.power_power_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.37/0.65 (declare-const tptp.times_times_nat (-> tptp.nat tptp.nat tptp.nat)) % 0.37/0.65 (declare-const tptp.twoSqu1013291560sum2sq (-> tptp.int Bool)) % 0.37/0.65 (declare-const tptp.s tptp.int) % 0.37/0.65 (declare-const tptp.zprime (-> tptp.int Bool)) % 0.37/0.65 (declare-const tptp.plus_plus_int (-> tptp.int tptp.int tptp.int)) % 0.37/0.65 (declare-const tptp.number_number_of_nat (-> tptp.int tptp.nat)) % 0.37/0.65 (declare-const tptp.t tptp.int) % 0.37/0.65 (declare-const tptp.one_one_int tptp.int) % 0.37/0.65 (declare-const tptp.pls tptp.int) % 0.37/0.65 (declare-const tptp.ord_less_eq_int (-> tptp.int tptp.int Bool)) % 0.37/0.65 (declare-const tptp.m tptp.int) % 0.37/0.65 (declare-const tptp.number_number_of_int (-> tptp.int tptp.int)) % 0.37/0.65 (declare-const tptp.bit1 (-> tptp.int tptp.int)) % 0.37/0.65 (declare-const tptp.bit0 (-> tptp.int tptp.int)) % 0.37/0.65 (declare-const tptp.power_power_int (-> tptp.int tptp.nat tptp.int)) % 0.37/0.65 (declare-const tptp.times_times_int (-> tptp.int tptp.int tptp.int)) % 0.37/0.65 (declare-const tptp.ord_less_int (-> tptp.int tptp.int Bool)) % 0.37/0.65 (define @t1 () (_ (_ tptp.ord_less_eq_int tptp.one_one_int) tptp.t)) % 0.37/0.65 (define @t2 () (_ tptp.bit1 tptp.pls)) % 0.37/0.65 (define @t3 () (_ tptp.bit0 @t2)) % 0.37/0.65 (define @t4 () (_ tptp.bit0 @t3)) % 0.37/0.65 (define @t5 () (_ tptp.number_number_of_int @t4)) % 0.37/0.65 (define @t6 () (_ (_ tptp.times_times_int @t5) tptp.m)) % 0.37/0.65 (define @t7 () (_ (_ tptp.plus_plus_int @t6) tptp.one_one_int)) % 0.37/0.65 (define @t8 () (_ tptp.number_number_of_nat @t3)) % 0.37/0.65 (define @t9 () (@var "Y" tptp.int)) % 0.37/0.65 (define @t10 () (_ tptp.power_power_int @t9)) % 0.37/0.65 (define @t11 () (_ @t10 @t8)) % 0.37/0.65 (define @t12 () (@var "X" tptp.int)) % 0.37/0.65 (define @t13 () (_ tptp.power_power_int @t12)) % 0.37/0.65 (define @t14 () (_ @t13 @t8)) % 0.37/0.65 (define @t15 () (_ (_ tptp.plus_plus_int @t14) @t11)) % 0.37/0.65 (define @t16 () (= @t15 @t7)) % 0.37/0.65 (define @t17 () (@list @t12 @t9)) % 0.37/0.65 (define @t18 () (exists @t17 @t16)) % 0.37/0.65 (define @t19 () (= tptp.t tptp.one_one_int)) % 0.37/0.65 (define @t20 () (=> @t19 @t18)) % 0.37/0.65 (define @t21 () (_ (_ tptp.ord_less_int tptp.one_one_int) tptp.t)) % 0.37/0.65 (define @t22 () (=> @t21 @t18)) % 0.37/0.65 (define @t23 () (_ tptp.times_times_int @t7)) % 0.37/0.65 (define @t24 () (_ @t23 tptp.t)) % 0.37/0.65 (define @t25 () (_ (_ tptp.plus_plus_int (_ (_ tptp.power_power_int tptp.s) @t8)) tptp.one_one_int)) % 0.37/0.65 (define @t26 () (@var "B_4" tptp.int)) % 0.37/0.65 (define @t27 () (_ tptp.power_power_int @t26)) % 0.37/0.65 (define @t28 () (_ @t27 @t8)) % 0.37/0.65 (define @t29 () (@var "A_8" tptp.int)) % 0.37/0.65 (define @t30 () (_ tptp.number_number_of_int @t3)) % 0.37/0.65 (define @t31 () (_ tptp.times_times_int @t30)) % 0.37/0.65 (define @t32 () (_ tptp.power_power_int @t29)) % 0.37/0.65 (define @t33 () (_ @t32 @t8)) % 0.37/0.65 (define @t34 () (_ tptp.power_power_int (_ (_ tptp.plus_plus_int @t29) @t26))) % 0.37/0.65 (define @t35 () (@list @t29 @t26)) % 0.37/0.65 (define @t36 () (_ tptp.bit1 @t2)) % 0.37/0.65 (define @t37 () (_ tptp.number_number_of_nat @t36)) % 0.37/0.65 (define @t38 () (_ tptp.times_times_int (_ tptp.number_number_of_int @t36))) % 0.37/0.65 (define @t39 () (_ @t32 @t37)) % 0.37/0.65 (define @t40 () (@var "Y_5" tptp.nat)) % 0.37/0.65 (define @t41 () (@var "X_11" tptp.nat)) % 0.37/0.65 (define @t42 () (_ tptp.times_times_nat @t8)) % 0.37/0.65 (define @t43 () (@var "Y_5" tptp.int)) % 0.37/0.65 (define @t44 () (@var "X_11" tptp.int)) % 0.37/0.65 (define @t45 () (@var "W_5" tptp.int)) % 0.37/0.65 (define @t46 () (_ tptp.number_number_of_int @t45)) % 0.37/0.65 (define @t47 () (@list @t45)) % 0.37/0.65 (define @t48 () (_ tptp.number_number_of_nat @t45)) % 0.37/0.65 (define @t49 () (@var "X_10" tptp.int)) % 0.37/0.65 (define @t50 () (@var "X_10" tptp.nat)) % 0.37/0.65 (define @t51 () (@var "A_7" tptp.int)) % 0.37/0.65 (define @t52 () (@var "A_7" tptp.nat)) % 0.37/0.65 (define @t53 () (@var "N" tptp.nat)) % 0.37/0.65 (define @t54 () (@var "X_9" tptp.int)) % 0.37/0.65 (define @t55 () (_ tptp.power_power_int @t54)) % 0.37/0.65 (define @t56 () (_ @t55 @t53)) % 0.37/0.65 (define @t57 () (_ @t42 @t53)) % 0.37/0.65 (define @t58 () (@var "X_9" tptp.nat)) % 0.37/0.65 (define @t59 () (_ tptp.power_power_nat @t58)) % 0.37/0.65 (define @t60 () (_ @t59 @t53)) % 0.37/0.65 (define @t61 () (@var "W_4" tptp.int)) % 0.37/0.65 (define @t62 () (_ tptp.plus_plus_int tptp.one_one_int)) % 0.37/0.65 (define @t63 () (@var "V_3" tptp.int)) % 0.37/0.65 (define @t64 () (@var "T" tptp.int)) % 0.37/0.65 (define @t65 () (@var "W" tptp.int)) % 0.37/0.65 (define @t66 () (_ tptp.ord_less_eq_int @t65)) % 0.37/0.65 (define @t67 () (@var "Z" tptp.int)) % 0.37/0.65 (define @t68 () (_ @t66 @t67)) % 0.37/0.65 (define @t69 () (_ (_ tptp.ord_less_eq_int @t67) @t65)) % 0.37/0.65 (define @t70 () (@list @t67 @t65)) % 0.37/0.65 (define @t71 () (= @t67 @t65)) % 0.37/0.65 (define @t72 () (not @t71)) % 0.37/0.65 (define @t73 () (and @t69 @t72)) % 0.37/0.65 (define @t74 () (_ (_ tptp.ord_less_int @t67) @t65)) % 0.37/0.65 (define @t75 () (= @t74 @t73)) % 0.37/0.65 (define @t76 () (forall @t70 @t75)) % 0.37/0.65 (define @t77 () (@var "X_1" tptp.int)) % 0.37/0.65 (define @t78 () (@var "Y_1" tptp.int)) % 0.37/0.65 (define @t79 () (@var "K" tptp.int)) % 0.37/0.65 (define @t80 () (@var "I" tptp.int)) % 0.37/0.65 (define @t81 () (_ tptp.ord_less_eq_int @t80)) % 0.37/0.65 (define @t82 () (@var "J" tptp.int)) % 0.37/0.65 (define @t83 () (_ @t81 @t82)) % 0.37/0.65 (define @t84 () (@list @t79 @t80 @t82)) % 0.37/0.65 (define @t85 () (@var "Q_1" tptp.nat)) % 0.37/0.65 (define @t86 () (@var "P_1" tptp.nat)) % 0.37/0.65 (define @t87 () (_ (_ tptp.times_times_nat @t86) @t85)) % 0.37/0.65 (define @t88 () (@var "X_8" tptp.int)) % 0.37/0.65 (define @t89 () (_ tptp.power_power_int @t88)) % 0.37/0.65 (define @t90 () (@var "X_8" tptp.nat)) % 0.37/0.65 (define @t91 () (_ tptp.power_power_nat @t90)) % 0.37/0.65 (define @t92 () (@var "X_7" tptp.int)) % 0.37/0.65 (define @t93 () (@var "X_7" tptp.nat)) % 0.37/0.65 (define @t94 () (@var "Z" tptp.nat)) % 0.37/0.65 (define @t95 () (@var "Y_1" tptp.nat)) % 0.37/0.65 (define @t96 () (_ tptp.power_power_int @t77)) % 0.37/0.65 (define @t97 () (_ @t96 @t95)) % 0.37/0.65 (define @t98 () (@list @t77 @t95 @t94)) % 0.37/0.65 (define @t99 () (@var "V_2" tptp.int)) % 0.37/0.65 (define @t100 () (_ tptp.number_number_of_nat @t99)) % 0.37/0.65 (define @t101 () (@var "W_3" tptp.int)) % 0.37/0.65 (define @t102 () (_ tptp.number_number_of_nat @t101)) % 0.37/0.65 (define @t103 () (@list @t99 @t101)) % 0.37/0.65 (define @t104 () (_ tptp.number_number_of_int @t99)) % 0.37/0.65 (define @t105 () (_ tptp.number_number_of_int @t101)) % 0.37/0.65 (define @t106 () (@var "Y_4" tptp.int)) % 0.37/0.65 (define @t107 () (@var "X_6" tptp.int)) % 0.37/0.65 (define @t108 () (@var "Y_3" tptp.int)) % 0.37/0.65 (define @t109 () (@var "X_5" tptp.int)) % 0.37/0.65 (define @t110 () (_ tptp.plus_plus_int @t65)) % 0.37/0.65 (define @t111 () (_ @t110 @t67)) % 0.37/0.65 (define @t112 () (@var "Z_1" tptp.int)) % 0.37/0.65 (define @t113 () (@var "W_2" tptp.int)) % 0.37/0.65 (define @t114 () (@var "Q" tptp.nat)) % 0.37/0.65 (define @t115 () (@var "P" tptp.nat)) % 0.37/0.65 (define @t116 () (_ (_ tptp.plus_plus_nat @t115) @t114)) % 0.37/0.65 (define @t117 () (@var "X_4" tptp.int)) % 0.37/0.65 (define @t118 () (_ tptp.power_power_int @t117)) % 0.37/0.65 (define @t119 () (@var "X_4" tptp.nat)) % 0.37/0.65 (define @t120 () (_ tptp.power_power_nat @t119)) % 0.37/0.65 (define @t121 () (_ (_ tptp.plus_plus_nat @t94) @t94)) % 0.37/0.65 (define @t122 () (@list @t94)) % 0.37/0.65 (define @t123 () (@var "K2" tptp.int)) % 0.37/0.65 (define @t124 () (@var "K1" tptp.int)) % 0.37/0.65 (define @t125 () (_ (_ tptp.ord_less_int @t124) @t123)) % 0.37/0.65 (define @t126 () (_ tptp.bit1 @t123)) % 0.37/0.65 (define @t127 () (_ tptp.bit1 @t124)) % 0.37/0.65 (define @t128 () (_ tptp.ord_less_int @t127)) % 0.37/0.65 (define @t129 () (@list @t124 @t123)) % 0.37/0.65 (define @t130 () (@var "L" tptp.int)) % 0.37/0.65 (define @t131 () (_ tptp.ord_less_int @t79)) % 0.37/0.65 (define @t132 () (_ @t131 @t130)) % 0.37/0.65 (define @t133 () (_ tptp.bit1 @t130)) % 0.37/0.65 (define @t134 () (_ tptp.bit1 @t79)) % 0.37/0.65 (define @t135 () (_ tptp.ord_less_int @t134)) % 0.37/0.65 (define @t136 () (@list @t79 @t130)) % 0.37/0.65 (define @t137 () (_ (_ tptp.ord_less_eq_int @t124) @t123)) % 0.37/0.65 (define @t138 () (_ tptp.ord_less_eq_int @t127)) % 0.37/0.65 (define @t139 () (_ (_ tptp.ord_less_eq_int @t79) @t130)) % 0.37/0.65 (define @t140 () (_ tptp.ord_less_eq_int @t134)) % 0.37/0.65 (define @t141 () (_ tptp.ord_less_int tptp.pls)) % 0.37/0.65 (define @t142 () (_ tptp.bit0 @t123)) % 0.37/0.65 (define @t143 () (_ tptp.bit0 @t124)) % 0.37/0.65 (define @t144 () (_ tptp.ord_less_int @t143)) % 0.37/0.65 (define @t145 () (_ tptp.bit0 @t130)) % 0.37/0.65 (define @t146 () (_ tptp.bit0 @t79)) % 0.37/0.65 (define @t147 () (_ tptp.ord_less_int @t146)) % 0.37/0.65 (define @t148 () (_ tptp.ord_less_eq_int tptp.pls)) % 0.37/0.65 (define @t149 () (_ tptp.ord_less_eq_int @t143)) % 0.37/0.65 (define @t150 () (_ tptp.ord_less_eq_int @t146)) % 0.37/0.65 (define @t151 () (_ tptp.number_number_of_int @t130)) % 0.37/0.65 (define @t152 () (_ tptp.number_number_of_int @t79)) % 0.37/0.65 (define @t153 () (_ tptp.plus_plus_int @t79)) % 0.37/0.65 (define @t154 () (@var "V_1" tptp.int)) % 0.37/0.65 (define @t155 () (@var "V" tptp.int)) % 0.37/0.65 (define @t156 () (_ tptp.number_number_of_nat @t154)) % 0.37/0.65 (define @t157 () (_ tptp.number_number_of_nat @t155)) % 0.37/0.65 (define @t158 () (_ (_ tptp.plus_plus_nat @t157) @t156)) % 0.37/0.65 (define @t159 () (_ (_ tptp.ord_less_int @t154) tptp.pls)) % 0.37/0.65 (define @t160 () (_ (_ tptp.ord_less_int @t155) tptp.pls)) % 0.37/0.65 (define @t161 () (_ tptp.number_number_of_nat @t2)) % 0.37/0.65 (define @t162 () (_ @t131 tptp.pls)) % 0.37/0.65 (define @t163 () (@list @t79)) % 0.37/0.65 (define @t164 () (_ @t148 @t79)) % 0.37/0.65 (define @t165 () (_ (_ tptp.ord_less_eq_int (_ @t110 tptp.one_one_int)) @t67)) % 0.37/0.65 (define @t166 () (_ tptp.ord_less_int @t65)) % 0.37/0.65 (define @t167 () (_ @t166 @t67)) % 0.37/0.65 (define @t168 () (@list @t65 @t67)) % 0.37/0.65 (define @t169 () (_ tptp.plus_plus_int @t67)) % 0.37/0.65 (define @t170 () (@var "Ry_4" tptp.int)) % 0.37/0.65 (define @t171 () (@var "Ly_4" tptp.int)) % 0.37/0.65 (define @t172 () (@var "Rx_6" tptp.int)) % 0.37/0.65 (define @t173 () (@var "Lx_6" tptp.int)) % 0.37/0.65 (define @t174 () (_ tptp.times_times_int @t173)) % 0.37/0.65 (define @t175 () (@var "Ry_4" tptp.nat)) % 0.37/0.65 (define @t176 () (@var "Ly_4" tptp.nat)) % 0.37/0.65 (define @t177 () (@var "Rx_6" tptp.nat)) % 0.37/0.65 (define @t178 () (@var "Lx_6" tptp.nat)) % 0.37/0.65 (define @t179 () (_ tptp.times_times_nat @t178)) % 0.37/0.65 (define @t180 () (@var "Ry_3" tptp.int)) % 0.37/0.65 (define @t181 () (@var "Ly_3" tptp.int)) % 0.37/0.65 (define @t182 () (@var "Lx_5" tptp.int)) % 0.37/0.65 (define @t183 () (_ tptp.times_times_int (_ (_ tptp.times_times_int @t182) @t181))) % 0.37/0.65 (define @t184 () (@var "Rx_5" tptp.int)) % 0.37/0.65 (define @t185 () (_ tptp.times_times_int @t184)) % 0.37/0.65 (define @t186 () (@var "Ry_3" tptp.nat)) % 0.37/0.65 (define @t187 () (@var "Ly_3" tptp.nat)) % 0.37/0.65 (define @t188 () (@var "Lx_5" tptp.nat)) % 0.37/0.65 (define @t189 () (_ tptp.times_times_nat (_ (_ tptp.times_times_nat @t188) @t187))) % 0.37/0.65 (define @t190 () (@var "Rx_5" tptp.nat)) % 0.37/0.65 (define @t191 () (_ tptp.times_times_nat @t190)) % 0.37/0.65 (define @t192 () (@var "Ry_2" tptp.int)) % 0.37/0.65 (define @t193 () (@var "Rx_4" tptp.int)) % 0.37/0.65 (define @t194 () (_ (_ tptp.times_times_int @t193) @t192)) % 0.37/0.65 (define @t195 () (@var "Ly_2" tptp.int)) % 0.37/0.65 (define @t196 () (@var "Lx_4" tptp.int)) % 0.37/0.65 (define @t197 () (_ tptp.times_times_int @t196)) % 0.37/0.65 (define @t198 () (@var "Ry_2" tptp.nat)) % 0.37/0.65 (define @t199 () (@var "Rx_4" tptp.nat)) % 0.37/0.65 (define @t200 () (_ (_ tptp.times_times_nat @t199) @t198)) % 0.37/0.65 (define @t201 () (@var "Ly_2" tptp.nat)) % 0.37/0.65 (define @t202 () (@var "Lx_4" tptp.nat)) % 0.37/0.65 (define @t203 () (_ tptp.times_times_nat @t202)) % 0.37/0.65 (define @t204 () (@var "Ly_1" tptp.int)) % 0.37/0.65 (define @t205 () (@var "Rx_3" tptp.int)) % 0.37/0.65 (define @t206 () (@var "Lx_3" tptp.int)) % 0.37/0.65 (define @t207 () (_ tptp.times_times_int @t206)) % 0.37/0.65 (define @t208 () (@var "Ly_1" tptp.nat)) % 0.37/0.65 (define @t209 () (@var "Rx_3" tptp.nat)) % 0.37/0.65 (define @t210 () (@var "Lx_3" tptp.nat)) % 0.37/0.65 (define @t211 () (_ tptp.times_times_nat @t210)) % 0.37/0.65 (define @t212 () (@var "Rx_2" tptp.int)) % 0.37/0.65 (define @t213 () (@var "Ly" tptp.int)) % 0.37/0.65 (define @t214 () (@var "Lx_2" tptp.int)) % 0.37/0.65 (define @t215 () (_ tptp.times_times_int @t214)) % 0.37/0.65 (define @t216 () (@var "Rx_2" tptp.nat)) % 0.37/0.65 (define @t217 () (@var "Ly" tptp.nat)) % 0.37/0.65 (define @t218 () (@var "Lx_2" tptp.nat)) % 0.37/0.65 (define @t219 () (_ tptp.times_times_nat @t218)) % 0.37/0.65 (define @t220 () (@var "Ry_1" tptp.int)) % 0.37/0.65 (define @t221 () (@var "Rx_1" tptp.int)) % 0.37/0.65 (define @t222 () (@var "Lx_1" tptp.int)) % 0.37/0.65 (define @t223 () (_ tptp.times_times_int @t222)) % 0.37/0.65 (define @t224 () (@var "Ry_1" tptp.nat)) % 0.37/0.65 (define @t225 () (@var "Rx_1" tptp.nat)) % 0.37/0.65 (define @t226 () (@var "Lx_1" tptp.nat)) % 0.37/0.65 (define @t227 () (_ tptp.times_times_nat @t226)) % 0.37/0.65 (define @t228 () (@var "Ry" tptp.int)) % 0.37/0.65 (define @t229 () (@var "Lx" tptp.int)) % 0.37/0.65 (define @t230 () (_ tptp.times_times_int @t229)) % 0.37/0.65 (define @t231 () (@var "Rx" tptp.int)) % 0.37/0.65 (define @t232 () (_ tptp.times_times_int @t231)) % 0.37/0.65 (define @t233 () (@var "Ry" tptp.nat)) % 0.37/0.65 (define @t234 () (@var "Lx" tptp.nat)) % 0.37/0.65 (define @t235 () (_ tptp.times_times_nat @t234)) % 0.37/0.65 (define @t236 () (@var "Rx" tptp.nat)) % 0.37/0.65 (define @t237 () (_ tptp.times_times_nat @t236)) % 0.37/0.65 (define @t238 () (@var "A_6" tptp.int)) % 0.37/0.65 (define @t239 () (@var "B_3" tptp.int)) % 0.37/0.65 (define @t240 () (@var "A_6" tptp.nat)) % 0.37/0.65 (define @t241 () (@var "B_3" tptp.nat)) % 0.37/0.65 (define @t242 () (@var "D_2" tptp.int)) % 0.37/0.65 (define @t243 () (@var "B_2" tptp.int)) % 0.37/0.65 (define @t244 () (@var "C_5" tptp.int)) % 0.37/0.65 (define @t245 () (@var "A_5" tptp.int)) % 0.37/0.65 (define @t246 () (_ tptp.plus_plus_int @t245)) % 0.37/0.65 (define @t247 () (@var "D_2" tptp.nat)) % 0.37/0.65 (define @t248 () (@var "B_2" tptp.nat)) % 0.37/0.65 (define @t249 () (@var "C_5" tptp.nat)) % 0.37/0.65 (define @t250 () (@var "A_5" tptp.nat)) % 0.37/0.65 (define @t251 () (_ tptp.plus_plus_nat @t250)) % 0.37/0.65 (define @t252 () (@var "B_1" tptp.int)) % 0.37/0.65 (define @t253 () (@var "C_4" tptp.int)) % 0.37/0.65 (define @t254 () (@var "A_4" tptp.int)) % 0.37/0.65 (define @t255 () (_ tptp.plus_plus_int @t254)) % 0.37/0.65 (define @t256 () (@var "B_1" tptp.nat)) % 0.37/0.65 (define @t257 () (@var "C_4" tptp.nat)) % 0.37/0.65 (define @t258 () (@var "A_4" tptp.nat)) % 0.37/0.65 (define @t259 () (_ tptp.plus_plus_nat @t258)) % 0.37/0.65 (define @t260 () (@var "C_3" tptp.int)) % 0.37/0.65 (define @t261 () (@var "B" tptp.int)) % 0.37/0.65 (define @t262 () (@var "A_3" tptp.int)) % 0.37/0.65 (define @t263 () (_ tptp.plus_plus_int @t262)) % 0.37/0.65 (define @t264 () (@var "C_3" tptp.nat)) % 0.37/0.65 (define @t265 () (@var "B" tptp.nat)) % 0.37/0.65 (define @t266 () (@var "A_3" tptp.nat)) % 0.37/0.65 (define @t267 () (_ tptp.plus_plus_nat @t266)) % 0.37/0.65 (define @t268 () (@var "D_1" tptp.int)) % 0.37/0.65 (define @t269 () (@var "C_2" tptp.int)) % 0.37/0.65 (define @t270 () (@var "A_2" tptp.int)) % 0.37/0.65 (define @t271 () (_ tptp.plus_plus_int @t270)) % 0.37/0.65 (define @t272 () (@var "D_1" tptp.nat)) % 0.37/0.65 (define @t273 () (@var "C_2" tptp.nat)) % 0.37/0.65 (define @t274 () (@var "A_2" tptp.nat)) % 0.37/0.65 (define @t275 () (_ tptp.plus_plus_nat @t274)) % 0.37/0.65 (define @t276 () (@var "D" tptp.int)) % 0.37/0.65 (define @t277 () (@var "A_1" tptp.int)) % 0.37/0.65 (define @t278 () (_ tptp.plus_plus_int @t277)) % 0.37/0.65 (define @t279 () (@var "C_1" tptp.int)) % 0.37/0.65 (define @t280 () (_ tptp.plus_plus_int @t279)) % 0.37/0.65 (define @t281 () (@var "D" tptp.nat)) % 0.37/0.65 (define @t282 () (@var "A_1" tptp.nat)) % 0.37/0.65 (define @t283 () (_ tptp.plus_plus_nat @t282)) % 0.37/0.65 (define @t284 () (@var "C_1" tptp.nat)) % 0.37/0.65 (define @t285 () (_ tptp.plus_plus_nat @t284)) % 0.37/0.65 (define @t286 () (@var "A" tptp.int)) % 0.37/0.65 (define @t287 () (@var "C" tptp.int)) % 0.37/0.65 (define @t288 () (@var "A" tptp.nat)) % 0.37/0.65 (define @t289 () (@var "C" tptp.nat)) % 0.37/0.65 (define @t290 () (@var "Y_2" tptp.int)) % 0.37/0.65 (define @t291 () (@var "X_3" tptp.int)) % 0.37/0.65 (define @t292 () (@var "W_1" tptp.int)) % 0.37/0.65 (define @t293 () (_ tptp.number_number_of_nat @t292)) % 0.37/0.65 (define @t294 () (@var "X_2" tptp.nat)) % 0.37/0.65 (define @t295 () (_ tptp.number_number_of_int @t292)) % 0.37/0.65 (define @t296 () (@var "X_2" tptp.int)) % 0.37/0.65 (define @t297 () (= @t79 @t130)) % 0.37/0.65 (define @t298 () (@var "Z3" tptp.int)) % 0.37/0.65 (define @t299 () (@var "Z2" tptp.int)) % 0.37/0.65 (define @t300 () (@var "Z1" tptp.int)) % 0.37/0.65 (define @t301 () (_ tptp.times_times_int @t300)) % 0.37/0.65 (define @t302 () (@list @t300 @t299 @t298)) % 0.37/0.65 (define @t303 () (_ tptp.plus_plus_int @t300)) % 0.37/0.65 (define @t304 () (_ tptp.plus_plus_int @t77)) % 0.37/0.65 (define @t305 () (_ tptp.plus_plus_int @t78)) % 0.37/0.65 (define @t306 () (not @t18)) % 0.37/0.65 (define @t307 () (tptp.bit1 tptp.pls)) % 0.37/0.65 (define @t308 () (tptp.bit0 @t307)) % 0.37/0.65 (define @t309 () (tptp.bit0 @t308)) % 0.37/0.65 (define @t310 () (tptp.number_number_of_int @t309)) % 0.37/0.65 (define @t311 () (tptp.times_times_int @t310 tptp.m)) % 0.37/0.65 (define @t312 () (tptp.plus_plus_int @t311 tptp.one_one_int)) % 0.37/0.65 (define @t313 () (tptp.number_number_of_nat @t308)) % 0.37/0.65 (define @t314 () (tptp.power_power_int @t9 @t313)) % 0.37/0.65 (define @t315 () (tptp.power_power_int @t12 @t313)) % 0.37/0.65 (define @t316 () (tptp.plus_plus_int @t315 @t314)) % 0.37/0.65 (define @t317 () (forall @t17 (not (= @t316 @t312)))) % 0.37/0.65 (define @t318 () (not @t16)) % 0.37/0.65 (define @t319 () (forall @t17 @t318)) % 0.37/0.65 (define @t320 () (not @t319)) % 0.37/0.65 (define @t321 () (not @t317)) % 0.37/0.65 (define @t322 () (tptp.ord_less_int tptp.one_one_int tptp.t)) % 0.37/0.65 (define @t323 () (not @t322)) % 0.37/0.65 (define @t324 () (@list false)) % 0.37/0.65 (define @t325 () (@list @t317)) % 0.37/0.65 (define @t326 () (tptp.ord_less_eq_int tptp.one_one_int tptp.t)) % 0.37/0.65 (define @t327 () (= tptp.one_one_int tptp.t)) % 0.37/0.65 (define @t328 () (not @t327)) % 0.37/0.65 (define @t329 () (not @t326)) % 0.37/0.65 (define @t330 () (and @t326 @t328)) % 0.37/0.65 (define @t331 () (not (= @t65 @t67))) % 0.37/0.65 (define @t332 () (tptp.ord_less_eq_int @t67 @t65)) % 0.37/0.65 (define @t333 () (and @t69 @t331)) % 0.37/0.65 (define @t334 () (tptp.ord_less_int @t67 @t65)) % 0.37/0.65 (define @t335 () (= @t74 @t333)) % 0.37/0.65 (define @t336 () (not @t19)) % 0.37/0.65 (define @t337 () (and @t326 @t336)) % 0.37/0.65 (define @t338 () (= @t322 @t337)) % 0.37/0.65 (define @t339 () (forall @t70 (= @t334 (and @t332 @t331)))) % 0.37/0.65 (define @t340 () (= @t322 @t330)) % 0.37/0.65 (assume @p1 @t1) % 0.37/0.65 (assume @p2 @t20) % 0.37/0.65 (assume @p3 @t22) % 0.37/0.65 (assume @p4 (_ (_ tptp.ord_less_int tptp.t) @t7)) % 0.37/0.65 (assume @p5 (_ tptp.zprime @t7)) % 0.37/0.65 (assume @p6 (= @t25 @t24)) % 0.37/0.65 (assume @p7 (_ tptp.twoSqu1013291560sum2sq @t24)) % 0.37/0.65 (assume @p8 (forall @t35 (= (_ @t34 @t8) (_ (_ tptp.plus_plus_int (_ (_ tptp.plus_plus_int @t33) (_ (_ tptp.times_times_int (_ @t31 @t29)) @t26))) @t28)))) % 0.37/0.65 (assume @p9 (forall @t35 (= (_ @t34 @t37) (_ (_ tptp.plus_plus_int (_ (_ tptp.plus_plus_int (_ (_ tptp.plus_plus_int @t39) (_ (_ tptp.times_times_int (_ @t38 @t33)) @t26))) (_ (_ tptp.times_times_int (_ @t38 @t29)) @t28))) (_ @t27 @t37))))) % 0.37/0.65 (assume @p10 (forall (@list @t41 @t40) (= (_ (_ tptp.power_power_nat (_ (_ tptp.plus_plus_nat @t41) @t40)) @t8) (_ (_ tptp.plus_plus_nat (_ (_ tptp.plus_plus_nat (_ (_ tptp.power_power_nat @t41) @t8)) (_ (_ tptp.power_power_nat @t40) @t8))) (_ (_ tptp.times_times_nat (_ @t42 @t41)) @t40))))) % 0.37/0.65 (assume @p11 (forall (@list @t44 @t43) (= (_ (_ tptp.power_power_int (_ (_ tptp.plus_plus_int @t44) @t43)) @t8) (_ (_ tptp.plus_plus_int (_ (_ tptp.plus_plus_int (_ (_ tptp.power_power_int @t44) @t8)) (_ (_ tptp.power_power_int @t43) @t8))) (_ (_ tptp.times_times_int (_ @t31 @t44)) @t43))))) % 0.37/0.65 (assume @p12 (forall @t47 (= (_ (_ tptp.power_power_int @t46) @t8) (_ (_ tptp.times_times_int @t46) @t46)))) % 0.37/0.65 (assume @p13 (forall @t47 (= (_ (_ tptp.power_power_nat @t48) @t8) (_ (_ tptp.times_times_nat @t48) @t48)))) % 0.37/0.65 (assume @p14 (forall (@list @t29) (= (_ (_ tptp.times_times_int @t29) @t33) @t39))) % 0.37/0.65 (assume @p15 (= (_ (_ tptp.power_power_nat tptp.one_one_nat) @t8) tptp.one_one_nat)) % 0.37/0.65 (assume @p16 (= (_ (_ tptp.power_power_int tptp.one_one_int) @t8) tptp.one_one_int)) % 0.37/0.65 (assume @p17 (forall (@list @t49) (= (_ (_ tptp.times_times_int @t49) @t49) (_ (_ tptp.power_power_int @t49) @t8)))) % 0.37/0.65 (assume @p18 (forall (@list @t50) (= (_ (_ tptp.times_times_nat @t50) @t50) (_ (_ tptp.power_power_nat @t50) @t8)))) % 0.37/0.65 (assume @p19 (forall (@list @t51) (= (_ (_ tptp.power_power_int @t51) @t8) (_ (_ tptp.times_times_int @t51) @t51)))) % 0.37/0.65 (assume @p20 (forall (@list @t52) (= (_ (_ tptp.power_power_nat @t52) @t8) (_ (_ tptp.times_times_nat @t52) @t52)))) % 0.37/0.65 (assume @p21 (forall (@list @t54 @t53) (= (_ @t55 @t57) (_ (_ tptp.times_times_int @t56) @t56)))) % 0.37/0.65 (assume @p22 (forall (@list @t58 @t53) (= (_ @t59 @t57) (_ (_ tptp.times_times_nat @t60) @t60)))) % 0.37/0.65 (assume @p23 (forall (@list @t61) (= (_ @t62 (_ tptp.number_number_of_int @t61)) (_ tptp.number_number_of_int (_ (_ tptp.plus_plus_int @t2) @t61))))) % 0.37/0.65 (assume @p24 (forall (@list @t63) (= (_ (_ tptp.plus_plus_int (_ tptp.number_number_of_int @t63)) tptp.one_one_int) (_ tptp.number_number_of_int (_ (_ tptp.plus_plus_int @t63) @t2))))) % 0.37/0.65 (assume @p25 (= (_ @t62 tptp.one_one_int) @t30)) % 0.37/0.65 (assume @p26 (not (forall (@list @t64) (not (= @t25 (_ @t23 @t64)))))) % 0.37/0.65 (assume @p27 (forall (@list @t65) (_ @t66 @t65))) % 0.37/0.65 (assume @p28 (forall @t70 (or @t69 @t68))) % 0.37/0.65 (assume @p29 @t76) % 0.37/0.65 (assume @p30 (forall (@list @t77 @t78) (or (_ (_ tptp.ord_less_int @t77) @t78) (= @t77 @t78) (_ (_ tptp.ord_less_int @t78) @t77)))) % 0.37/0.65 (assume @p31 (forall @t84 (=> @t83 (=> (_ (_ tptp.ord_less_eq_int @t82) @t79) (_ @t81 @t79))))) % 0.37/0.65 (assume @p32 (forall @t70 (=> @t69 (=> @t68 @t71)))) % 0.37/0.65 (assume @p33 (forall (@list @t88 @t86 @t85) (= (_ (_ tptp.power_power_int (_ @t89 @t86)) @t85) (_ @t89 @t87)))) % 0.37/0.65 (assume @p34 (forall (@list @t90 @t86 @t85) (= (_ (_ tptp.power_power_nat (_ @t91 @t86)) @t85) (_ @t91 @t87)))) % 0.37/0.65 (assume @p35 (forall (@list @t92) (= (_ (_ tptp.power_power_int @t92) tptp.one_one_nat) @t92))) % 0.37/0.65 (assume @p36 (forall (@list @t93) (= (_ (_ tptp.power_power_nat @t93) tptp.one_one_nat) @t93))) % 0.37/0.65 (assume @p37 (forall @t98 (= (_ (_ tptp.power_power_int @t97) @t94) (_ @t96 (_ (_ tptp.times_times_nat @t95) @t94))))) % 0.37/0.65 (assume @p38 (forall @t103 (= (_ (_ tptp.ord_less_eq_nat @t100) @t102) (not (_ (_ tptp.ord_less_nat @t102) @t100))))) % 0.37/0.65 (assume @p39 (forall @t103 (= (_ (_ tptp.ord_less_eq_int @t104) @t105) (not (_ (_ tptp.ord_less_int @t105) @t104))))) % 0.37/0.65 (assume @p40 (forall (@list @t107 @t106) (= (_ (_ tptp.ord_less_int (_ tptp.number_number_of_int @t107)) (_ tptp.number_number_of_int @t106)) (_ (_ tptp.ord_less_int @t107) @t106)))) % 0.37/0.65 (assume @p41 (forall (@list @t109 @t108) (= (_ (_ tptp.ord_less_eq_int (_ tptp.number_number_of_int @t109)) (_ tptp.number_number_of_int @t108)) (_ (_ tptp.ord_less_eq_int @t109) @t108)))) % 0.37/0.65 (assume @p42 (forall (@list @t112 @t67 @t113 @t65) (=> (_ (_ tptp.ord_less_int @t113) @t65) (=> (_ (_ tptp.ord_less_eq_int @t112) @t67) (_ (_ tptp.ord_less_int (_ (_ tptp.plus_plus_int @t113) @t112)) @t111))))) % 0.37/0.65 (assume @p43 (forall (@list @t117 @t115 @t114) (= (_ (_ tptp.times_times_int (_ @t118 @t115)) (_ @t118 @t114)) (_ @t118 @t116)))) % 0.37/0.65 (assume @p44 (forall (@list @t119 @t115 @t114) (= (_ (_ tptp.times_times_nat (_ @t120 @t115)) (_ @t120 @t114)) (_ @t120 @t116)))) % 0.37/0.65 (assume @p45 (forall @t98 (= (_ @t96 (_ (_ tptp.plus_plus_nat @t95) @t94)) (_ (_ tptp.times_times_int @t97) (_ @t96 @t94))))) % 0.37/0.65 (assume @p46 (forall @t122 (= (_ @t42 @t94) @t121))) % 0.37/0.65 (assume @p47 (forall @t122 (= (_ (_ tptp.times_times_nat @t94) @t8) @t121))) % 0.37/0.65 (assume @p48 (= (_ (_ tptp.plus_plus_nat tptp.one_one_nat) tptp.one_one_nat) @t8)) % 0.37/0.65 (assume @p49 (forall @t129 (= (_ @t128 @t126) @t125))) % 0.37/0.65 (assume @p50 (forall @t136 (= (_ @t135 @t133) @t132))) % 0.37/0.65 (assume @p51 (forall @t129 (= (_ @t138 @t126) @t137))) % 0.37/0.65 (assume @p52 (forall @t136 (= (_ @t140 @t133) @t139))) % 0.37/0.65 (assume @p53 (not (_ @t141 tptp.pls))) % 0.37/0.65 (assume @p54 (forall @t129 (= (_ @t144 @t142) @t125))) % 0.37/0.65 (assume @p55 (forall @t136 (= (_ @t147 @t145) @t132))) % 0.37/0.65 (assume @p56 (_ @t148 tptp.pls)) % 0.37/0.65 (assume @p57 (forall @t129 (= (_ @t149 @t142) @t137))) % 0.37/0.65 (assume @p58 (forall @t136 (= (_ @t150 @t145) @t139))) % 0.37/0.65 (assume @p59 (forall @t136 (= (_ (_ tptp.ord_less_int @t152) @t151) @t132))) % 0.37/0.65 (assume @p60 (forall @t136 (= (_ (_ tptp.ord_less_eq_int @t152) @t151) @t139))) % 0.37/0.65 (assume @p61 (forall @t84 (=> (_ (_ tptp.ord_less_int @t80) @t82) (_ (_ tptp.ord_less_int (_ (_ tptp.plus_plus_int @t80) @t79)) (_ (_ tptp.plus_plus_int @t82) @t79))))) % 0.37/0.65 (assume @p62 (forall @t84 (=> @t83 (_ (_ tptp.ord_less_eq_int (_ @t153 @t80)) (_ @t153 @t82))))) % 0.37/0.65 (assume @p63 (forall (@list @t154 @t155) (and (=> @t160 (= @t158 @t156)) (=> (not @t160) (and (=> @t159 (= @t158 @t157)) (=> (not @t159) (= @t158 (_ tptp.number_number_of_nat (_ (_ tptp.plus_plus_int @t155) @t154))))))))) % 0.37/0.65 (assume @p64 (= @t161 tptp.one_one_nat)) % 0.37/0.65 (assume @p65 (= tptp.one_one_nat @t161)) % 0.37/0.65 (assume @p66 (forall @t163 (= (_ @t140 tptp.pls) @t162))) % 0.37/0.65 (assume @p67 (forall @t163 (= (_ @t141 @t134) @t164))) % 0.37/0.65 (assume @p68 (forall @t129 (= (_ @t138 @t142) @t125))) % 0.37/0.65 (assume @p69 (forall @t136 (= (_ @t140 @t145) @t132))) % 0.37/0.65 (assume @p70 (forall @t129 (= (_ @t144 @t126) @t137))) % 0.37/0.65 (assume @p71 (forall @t136 (= (_ @t147 @t133) @t139))) % 0.37/0.65 (assume @p72 (forall @t168 (=> @t167 @t165))) % 0.37/0.65 (assume @p73 (forall @t168 (= @t165 @t167))) % 0.37/0.65 (assume @p74 (forall @t168 (= (_ @t166 (_ @t169 tptp.one_one_int)) @t68))) % 0.37/0.65 (assume @p75 (_ tptp.zprime @t30)) % 0.37/0.65 (assume @p76 (forall (@list @t78 @t77) (=> (_ tptp.twoSqu1013291560sum2sq @t77) (=> (_ tptp.twoSqu1013291560sum2sq @t78) (_ tptp.twoSqu1013291560sum2sq (_ (_ tptp.times_times_int @t77) @t78)))))) % 0.37/0.65 (assume @p77 (forall (@list @t173 @t171 @t172 @t170) (= (_ (_ tptp.times_times_int (_ @t174 @t171)) (_ (_ tptp.times_times_int @t172) @t170)) (_ (_ tptp.times_times_int (_ @t174 @t172)) (_ (_ tptp.times_times_int @t171) @t170))))) % 0.37/0.65 (assume @p78 (forall (@list @t178 @t176 @t177 @t175) (= (_ (_ tptp.times_times_nat (_ @t179 @t176)) (_ (_ tptp.times_times_nat @t177) @t175)) (_ (_ tptp.times_times_nat (_ @t179 @t177)) (_ (_ tptp.times_times_nat @t176) @t175))))) % 0.37/0.65 (assume @p79 (forall (@list @t182 @t181 @t184 @t180) (= (_ @t183 (_ @t185 @t180)) (_ @t185 (_ @t183 @t180))))) % 0.37/0.65 (assume @p80 (forall (@list @t188 @t187 @t190 @t186) (= (_ @t189 (_ @t191 @t186)) (_ @t191 (_ @t189 @t186))))) % 0.37/0.65 (assume @p81 (forall (@list @t196 @t195 @t193 @t192) (= (_ (_ tptp.times_times_int (_ @t197 @t195)) @t194) (_ @t197 (_ (_ tptp.times_times_int @t195) @t194))))) % 0.37/0.65 (assume @p82 (forall (@list @t202 @t201 @t199 @t198) (= (_ (_ tptp.times_times_nat (_ @t203 @t201)) @t200) (_ @t203 (_ (_ tptp.times_times_nat @t201) @t200))))) % 0.37/0.65 (assume @p83 (forall (@list @t206 @t204 @t205) (= (_ (_ tptp.times_times_int (_ @t207 @t204)) @t205) (_ (_ tptp.times_times_int (_ @t207 @t205)) @t204)))) % 0.37/0.65 (assume @p84 (forall (@list @t210 @t208 @t209) (= (_ (_ tptp.times_times_nat (_ @t211 @t208)) @t209) (_ (_ tptp.times_times_nat (_ @t211 @t209)) @t208)))) % 0.37/0.65 (assume @p85 (forall (@list @t214 @t213 @t212) (= (_ (_ tptp.times_times_int (_ @t215 @t213)) @t212) (_ @t215 (_ (_ tptp.times_times_int @t213) @t212))))) % 0.37/0.65 (assume @p86 (forall (@list @t218 @t217 @t216) (= (_ (_ tptp.times_times_nat (_ @t219 @t217)) @t216) (_ @t219 (_ (_ tptp.times_times_nat @t217) @t216))))) % 0.37/0.65 (assume @p87 (forall (@list @t222 @t221 @t220) (= (_ @t223 (_ (_ tptp.times_times_int @t221) @t220)) (_ (_ tptp.times_times_int (_ @t223 @t221)) @t220)))) % 0.37/0.65 (assume @p88 (forall (@list @t226 @t225 @t224) (= (_ @t227 (_ (_ tptp.times_times_nat @t225) @t224)) (_ (_ tptp.times_times_nat (_ @t227 @t225)) @t224)))) % 0.37/0.65 (assume @p89 (forall (@list @t229 @t231 @t228) (= (_ @t230 (_ @t232 @t228)) (_ @t232 (_ @t230 @t228))))) % 0.37/0.65 (assume @p90 (forall (@list @t234 @t236 @t233) (= (_ @t235 (_ @t237 @t233)) (_ @t237 (_ @t235 @t233))))) % 0.37/0.65 (assume @p91 (forall (@list @t238 @t239) (= (_ (_ tptp.times_times_int @t238) @t239) (_ (_ tptp.times_times_int @t239) @t238)))) % 0.37/0.65 (assume @p92 (forall (@list @t240 @t241) (= (_ (_ tptp.times_times_nat @t240) @t241) (_ (_ tptp.times_times_nat @t241) @t240)))) % 0.37/0.65 (assume @p93 (forall (@list @t245 @t243 @t244 @t242) (= (_ (_ tptp.plus_plus_int (_ @t246 @t243)) (_ (_ tptp.plus_plus_int @t244) @t242)) (_ (_ tptp.plus_plus_int (_ @t246 @t244)) (_ (_ tptp.plus_plus_int @t243) @t242))))) % 0.37/0.65 (assume @p94 (forall (@list @t250 @t248 @t249 @t247) (= (_ (_ tptp.plus_plus_nat (_ @t251 @t248)) (_ (_ tptp.plus_plus_nat @t249) @t247)) (_ (_ tptp.plus_plus_nat (_ @t251 @t249)) (_ (_ tptp.plus_plus_nat @t248) @t247))))) % 0.37/0.65 (assume @p95 (forall (@list @t254 @t252 @t253) (= (_ (_ tptp.plus_plus_int (_ @t255 @t252)) @t253) (_ (_ tptp.plus_plus_int (_ @t255 @t253)) @t252)))) % 0.37/0.65 (assume @p96 (forall (@list @t258 @t256 @t257) (= (_ (_ tptp.plus_plus_nat (_ @t259 @t256)) @t257) (_ (_ tptp.plus_plus_nat (_ @t259 @t257)) @t256)))) % 0.37/0.65 (assume @p97 (forall (@list @t262 @t261 @t260) (= (_ (_ tptp.plus_plus_int (_ @t263 @t261)) @t260) (_ @t263 (_ (_ tptp.plus_plus_int @t261) @t260))))) % 0.37/0.65 (assume @p98 (forall (@list @t266 @t265 @t264) (= (_ (_ tptp.plus_plus_nat (_ @t267 @t265)) @t264) (_ @t267 (_ (_ tptp.plus_plus_nat @t265) @t264))))) % 0.37/0.65 (assume @p99 (forall (@list @t270 @t269 @t268) (= (_ @t271 (_ (_ tptp.plus_plus_int @t269) @t268)) (_ (_ tptp.plus_plus_int (_ @t271 @t269)) @t268)))) % 0.37/0.65 (assume @p100 (forall (@list @t274 @t273 @t272) (= (_ @t275 (_ (_ tptp.plus_plus_nat @t273) @t272)) (_ (_ tptp.plus_plus_nat (_ @t275 @t273)) @t272)))) % 0.37/0.65 (assume @p101 (forall (@list @t277 @t279 @t276) (= (_ @t278 (_ @t280 @t276)) (_ @t280 (_ @t278 @t276))))) % 0.37/0.65 (assume @p102 (forall (@list @t282 @t284 @t281) (= (_ @t283 (_ @t285 @t281)) (_ @t285 (_ @t283 @t281))))) % 0.37/0.65 (assume @p103 (forall (@list @t286 @t287) (= (_ (_ tptp.plus_plus_int @t286) @t287) (_ (_ tptp.plus_plus_int @t287) @t286)))) % 0.37/0.65 (assume @p104 (forall (@list @t288 @t289) (= (_ (_ tptp.plus_plus_nat @t288) @t289) (_ (_ tptp.plus_plus_nat @t289) @t288)))) % 0.37/0.65 (assume @p105 (forall (@list @t291 @t290) (= (= (_ tptp.number_number_of_int @t291) (_ tptp.number_number_of_int @t290)) (= @t291 @t290)))) % 0.37/0.65 (assume @p106 (forall (@list @t292 @t294) (= (= @t293 @t294) (= @t294 @t293)))) % 0.37/0.65 (assume @p107 (forall (@list @t292 @t296) (= (= @t295 @t296) (= @t296 @t295)))) % 0.37/0.65 (assume @p108 (forall @t136 (= (= @t134 @t133) @t297))) % 0.37/0.65 (assume @p109 (forall @t136 (= (= @t146 @t145) @t297))) % 0.37/0.65 (assume @p110 (forall @t302 (= (_ (_ tptp.times_times_int (_ @t301 @t299)) @t298) (_ @t301 (_ (_ tptp.times_times_int @t299) @t298))))) % 0.37/0.65 (assume @p111 (forall @t70 (= (_ (_ tptp.times_times_int @t67) @t65) (_ (_ tptp.times_times_int @t65) @t67)))) % 0.37/0.65 (assume @p112 (forall @t163 (= @t152 @t79))) % 0.37/0.65 (assume @p113 (forall @t302 (= (_ (_ tptp.plus_plus_int (_ @t303 @t299)) @t298) (_ @t303 (_ (_ tptp.plus_plus_int @t299) @t298))))) % 0.37/0.65 (assume @p114 (forall (@list @t77 @t78 @t67) (= (_ @t304 (_ @t305 @t67)) (_ @t305 (_ @t304 @t67))))) % 0.37/0.65 (assume @p115 (forall @t70 (= (_ @t169 @t65) @t111))) % 0.37/0.65 (assume @p116 (forall @t163 (= (_ @t135 tptp.pls) @t162))) % 0.37/0.65 (assume @p117 (forall @t129 (= (_ @t128 @t142) @t125))) % 0.37/0.65 (assume @p118 (forall @t136 (= (_ @t135 @t145) @t132))) % 0.37/0.65 (assume @p119 (forall @t163 (= (_ @t147 tptp.pls) @t162))) % 0.37/0.65 (assume @p120 (forall @t163 (= (_ @t141 @t146) (_ @t141 @t79)))) % 0.37/0.65 (assume @p121 (forall @t163 (= (_ @t148 @t134) @t164))) % 0.37/0.65 (assume @p122 (forall @t129 (= (_ @t149 @t126) @t137))) % 0.37/0.65 (assume @p123 (forall @t136 (= (_ @t150 @t133) @t139))) % 0.37/0.65 (assume @p124 @t306) % 0.37/0.65 (assume @p125 true) % 0.37/0.65 (step @p126 :rule bool-double-not-elim :args (@t317)) % 0.37/0.65 (step @p127 :rule refl :args ((tptp.plus_plus_int @t6 tptp.one_one_int))) % 0.37/0.65 (step @p128 :rule refl :args (tptp.one_one_int)) % 0.37/0.65 (step @p129 :rule refl :args ((tptp.times_times_int @t5 tptp.m))) % 0.37/0.65 (step @p130 :rule refl :args (tptp.m)) % 0.37/0.65 (step @p131 :rule refl :args ((tptp.number_number_of_int @t4))) % 0.37/0.65 (step @p132 :rule refl :args ((tptp.bit0 @t3))) % 0.37/0.65 (step @p133 :rule refl :args ((tptp.bit0 @t2))) % 0.37/0.65 (step @p134 :rule refl :args (@t307)) % 0.37/0.65 (step @p135 :rule cong :premises (@p134) :args (@t308)) % 0.37/0.65 (step @p136 :rule trans :premises (@p135 @p133)) % 0.37/0.65 (step @p137 :rule cong :premises (@p136) :args (@t309)) % 0.37/0.65 (step @p138 :rule trans :premises (@p137 @p132)) % 0.37/0.65 (step @p139 :rule cong :premises (@p138) :args (@t310)) % 0.37/0.65 (step @p140 :rule trans :premises (@p139 @p131)) % 0.37/0.65 (step @p141 :rule cong :premises (@p140 @p130) :args (@t311)) % 0.37/0.65 (step @p142 :rule trans :premises (@p141 @p129)) % 0.37/0.65 (step @p143 :rule cong :premises (@p142 @p128) :args (@t312)) % 0.37/0.65 (step @p144 :rule trans :premises (@p143 @p127)) % 0.37/0.65 (step @p145 :rule refl :args (tptp.plus_plus_int)) % 0.37/0.65 (step @p146 :rule ho_cong :premises (@p145 @p142)) % 0.37/0.65 (step @p147 :rule ho_cong :premises (@p146 @p128)) % 0.37/0.65 (step @p148 :rule cong :premises (@p147 @p144) :args ((= (_ (_ tptp.plus_plus_int @t311) tptp.one_one_int) @t312))) % 0.37/0.65 (step @p149 :rule symm :premises (@p148)) % 0.37/0.65 (step @p150 :rule refl :args (@t7)) % 0.37/0.65 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 0.37/0.65 (step @p152 :rule refl :args (tptp.times_times_int)) % 0.37/0.65 (step @p153 :rule ho_cong :premises (@p152 @p140)) % 0.37/0.65 (step @p154 :rule ho_cong :premises (@p153 @p130)) % 0.37/0.65 (step @p155 :rule cong :premises (@p154 @p142) :args ((= (_ (_ tptp.times_times_int @t310) tptp.m) @t311))) % 0.37/0.65 (step @p156 :rule symm :premises (@p155)) % 0.37/0.65 (step @p157 :rule refl :args (@t6)) % 0.37/0.65 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.37/0.65 (step @p159 :rule refl :args (tptp.number_number_of_int)) % 0.37/0.65 (step @p160 :rule ho_cong :premises (@p159 @p138)) % 0.37/0.65 (step @p161 :rule cong :premises (@p160 @p140) :args ((= (_ tptp.number_number_of_int @t309) @t310))) % 0.37/0.65 (step @p162 :rule symm :premises (@p161)) % 0.37/0.65 (step @p163 :rule refl :args (@t5)) % 0.37/0.65 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.37/0.65 (step @p165 :rule refl :args (tptp.bit0)) % 0.37/0.65 (step @p166 :rule ho_cong :premises (@p165 @p136)) % 0.37/0.65 (step @p167 :rule cong :premises (@p166 @p138) :args ((= (_ tptp.bit0 @t308) @t309))) % 0.37/0.65 (step @p168 :rule symm :premises (@p167)) % 0.37/0.65 (step @p169 :rule refl :args (@t4)) % 0.37/0.65 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.37/0.65 (step @p171 :rule ho_cong :premises (@p165 @p134)) % 0.37/0.65 (step @p172 :rule cong :premises (@p171 @p136) :args ((= (_ tptp.bit0 @t307) @t308))) % 0.37/0.65 (step @p173 :rule symm :premises (@p172)) % 0.37/0.65 (step @p174 :rule refl :args (@t3)) % 0.37/0.65 (step @p175 :rule eq_resolve :premises (@p174 @p173)) % 0.37/0.65 (step @p176 :rule refl :args (@t2)) % 0.37/0.65 (step @p177 :rule cong :premises (@p176 @p134) :args ((= @t2 @t307))) % 0.37/0.65 (step @p178 :rule symm :premises (@p177)) % 0.37/0.65 (step @p179 :rule eq_resolve :premises (@p176 @p178)) % 0.37/0.65 (step @p180 :rule ho_cong :premises (@p165 @p179)) % 0.37/0.65 (step @p181 :rule trans :premises (@p180 @p175)) % 0.37/0.65 (step @p182 :rule ho_cong :premises (@p165 @p181)) % 0.37/0.65 (step @p183 :rule trans :premises (@p182 @p170)) % 0.37/0.65 (step @p184 :rule ho_cong :premises (@p159 @p183)) % 0.37/0.65 (step @p185 :rule trans :premises (@p184 @p164)) % 0.37/0.65 (step @p186 :rule ho_cong :premises (@p152 @p185)) % 0.37/0.65 (step @p187 :rule ho_cong :premises (@p186 @p130)) % 0.37/0.65 (step @p188 :rule trans :premises (@p187 @p158)) % 0.37/0.65 (step @p189 :rule ho_cong :premises (@p145 @p188)) % 0.37/0.65 (step @p190 :rule ho_cong :premises (@p189 @p128)) % 0.37/0.65 (step @p191 :rule trans :premises (@p190 @p151)) % 0.37/0.65 (step @p192 :rule refl :args ((tptp.plus_plus_int @t14 @t11))) % 0.37/0.65 (step @p193 :rule refl :args ((tptp.power_power_int @t9 @t8))) % 0.37/0.65 (step @p194 :rule refl :args ((tptp.number_number_of_nat @t3))) % 0.37/0.65 (step @p195 :rule cong :premises (@p136) :args (@t313)) % 0.37/0.65 (step @p196 :rule trans :premises (@p195 @p194)) % 0.37/0.65 (step @p197 :rule refl :args (@t9)) % 0.37/0.65 (step @p198 :rule cong :premises (@p197 @p196) :args (@t314)) % 0.37/0.65 (step @p199 :rule trans :premises (@p198 @p193)) % 0.37/0.65 (step @p200 :rule refl :args ((tptp.power_power_int @t12 @t8))) % 0.37/0.65 (step @p201 :rule refl :args (@t12)) % 0.37/0.65 (step @p202 :rule cong :premises (@p201 @p196) :args (@t315)) % 0.37/0.65 (step @p203 :rule trans :premises (@p202 @p200)) % 0.37/0.65 (step @p204 :rule cong :premises (@p203 @p199) :args (@t316)) % 0.37/0.65 (step @p205 :rule trans :premises (@p204 @p192)) % 0.37/0.65 (step @p206 :rule ho_cong :premises (@p145 @p203)) % 0.37/0.65 (step @p207 :rule ho_cong :premises (@p206 @p199)) % 0.37/0.65 (step @p208 :rule cong :premises (@p207 @p205) :args ((= (_ (_ tptp.plus_plus_int @t315) @t314) @t316))) % 0.37/0.65 (step @p209 :rule symm :premises (@p208)) % 0.37/0.65 (step @p210 :rule refl :args (@t15)) % 0.37/0.65 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.37/0.65 (step @p212 :rule refl :args (@t10)) % 0.37/0.65 (step @p213 :rule ho_cong :premises (@p212 @p196)) % 0.37/0.65 (step @p214 :rule cong :premises (@p213 @p199) :args ((= (_ @t10 @t313) @t314))) % 0.37/0.65 (step @p215 :rule symm :premises (@p214)) % 0.37/0.65 (step @p216 :rule refl :args (@t11)) % 0.37/0.65 (step @p217 :rule eq_resolve :premises (@p216 @p215)) % 0.37/0.65 (step @p218 :rule refl :args (tptp.number_number_of_nat)) % 0.37/0.65 (step @p219 :rule ho_cong :premises (@p218 @p136)) % 0.37/0.65 (step @p220 :rule cong :premises (@p219 @p196) :args ((= (_ tptp.number_number_of_nat @t308) @t313))) % 0.37/0.65 (step @p221 :rule symm :premises (@p220)) % 0.37/0.65 (step @p222 :rule refl :args (@t8)) % 0.37/0.65 (step @p223 :rule eq_resolve :premises (@p222 @p221)) % 0.37/0.65 (step @p224 :rule ho_cong :premises (@p218 @p181)) % 0.37/0.65 (step @p225 :rule trans :premises (@p224 @p223)) % 0.37/0.65 (step @p226 :rule ho_cong :premises (@p212 @p225)) % 0.37/0.65 (step @p227 :rule trans :premises (@p226 @p217)) % 0.37/0.65 (step @p228 :rule refl :args (@t13)) % 0.37/0.65 (step @p229 :rule ho_cong :premises (@p228 @p196)) % 0.37/0.65 (step @p230 :rule cong :premises (@p229 @p203) :args ((= (_ @t13 @t313) @t315))) % 0.37/0.65 (step @p231 :rule symm :premises (@p230)) % 0.37/0.65 (step @p232 :rule refl :args (@t14)) % 0.37/0.65 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.37/0.65 (step @p234 :rule ho_cong :premises (@p228 @p225)) % 0.37/0.65 (step @p235 :rule trans :premises (@p234 @p233)) % 0.37/0.65 (step @p236 :rule ho_cong :premises (@p145 @p235)) % 0.37/0.65 (step @p237 :rule ho_cong :premises (@p236 @p227)) % 0.37/0.65 (step @p238 :rule trans :premises (@p237 @p211)) % 0.37/0.65 (step @p239 :rule cong :premises (@p238 @p191) :args (@t16)) % 0.37/0.65 (step @p240 :rule cong :premises (@p239) :args (@t318)) % 0.37/0.65 (step @p241 :rule cong :premises (@p240) :args (@t319)) % 0.37/0.65 (step @p242 :rule cong :premises (@p241) :args (@t320)) % 0.37/0.65 (step @p243 :rule exists-elim :args ((= @t18 @t320))) % 0.37/0.65 (step @p244 :rule trans :premises (@p243 @p242)) % 0.37/0.65 (step @p245 :rule cong :premises (@p244) :args (@t306)) % 0.37/0.65 (step @p246 :rule trans :premises (@p245 @p126)) % 0.37/0.65 (step @p247 :rule eq_resolve :premises (@p124 @p246)) % 0.37/0.65 (step @p248 :rule refl :args (@t321)) % 0.37/0.65 (step @p249 :rule refl :args (@t322)) % 0.37/0.65 (step @p250 :rule refl :args (@t21)) % 0.37/0.65 (step @p251 :rule cong :premises (@p250 @p249) :args ((= @t21 @t322))) % 0.37/0.65 (step @p252 :rule symm :premises (@p251)) % 0.37/0.65 (step @p253 :rule eq_resolve :premises (@p250 @p252)) % 0.37/0.65 (step @p254 :rule cong :premises (@p253 @p248) :args ((=> @t21 @t321))) % 0.37/0.65 (step @p255 :rule refl :args (@t21)) % 0.37/0.65 (step @p256 :rule cong :premises (@p255 @p244) :args (@t22)) % 0.37/0.65 (step @p257 :rule trans :premises (@p256 @p254)) % 0.37/0.65 (step @p258 :rule eq_resolve :premises (@p3 @p257)) % 0.37/0.65 (step @p259 :rule implies_elim :premises (@p258)) % 0.37/0.65 (step @p260 :rule reordering :premises (@p259) :args ((or @t321 @t323))) % 0.37/0.65 (step @p261 :rule chain_m_resolution :premises (@p260 @p247) :args (@t323 @t324 @t325)) % 0.37/0.65 (step @p262 :rule refl :args (@t326)) % 0.37/0.65 (step @p263 :rule refl :args (@t1)) % 0.37/0.65 (step @p264 :rule cong :premises (@p263 @p262) :args ((= @t1 @t326))) % 0.37/0.65 (step @p265 :rule symm :premises (@p264)) % 0.37/0.65 (step @p266 :rule eq_resolve :premises (@p263 @p265)) % 0.37/0.65 (step @p267 :rule eq_resolve :premises (@p1 @p266)) % 0.37/0.65 (step @p268 :rule eq-symm :args (tptp.t tptp.one_one_int)) % 0.37/0.65 (step @p269 :rule cong :premises (@p268 @p244) :args (@t20)) % 0.37/0.65 (step @p270 :rule eq_resolve :premises (@p2 @p269)) % 0.37/0.65 (step @p271 :rule implies_elim :premises (@p270)) % 0.37/0.65 (step @p272 :rule reordering :premises (@p271) :args ((or @t321 @t328))) % 0.37/0.65 (step @p273 :rule chain_m_resolution :premises (@p272 @p247) :args (@t328 @t324 @t325)) % 0.37/0.66 (step @p274 :rule bool-double-not-elim :args (@t327)) % 0.37/0.66 (step @p275 :rule refl :args (@t329)) % 0.37/0.66 (step @p276 :rule refl :args (@t330)) % 0.37/0.66 (step @p277 :rule nary_cong :premises (@p276 @p275 @p274) :args ((or @t330 @t329 (not @t328)))) % 0.37/0.66 (step @p278 :rule cnf_and_neg :args (@t330)) % 0.37/0.66 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 0.37/0.66 (step @p280 :rule reordering :premises (@p279) :args ((or @t327 @t329 @t330))) % 0.37/0.66 (step @p281 :rule chain_m_resolution :premises (@p280 @p273 @p267) :args (@t330 (@list true false) (@list @t327 @t326))) % 0.37/0.66 (step @p282 :rule refl :args (@t331)) % 0.37/0.66 (step @p283 :rule refl :args (@t332)) % 0.37/0.66 (step @p284 :rule refl :args (@t69)) % 0.37/0.66 (step @p285 :rule cong :premises (@p284 @p283) :args ((= @t69 @t332))) % 0.37/0.66 (step @p286 :rule symm :premises (@p285)) % 0.37/0.66 (step @p287 :rule eq_resolve :premises (@p284 @p286)) % 0.37/0.66 (step @p288 :rule nary_cong :premises (@p287 @p282) :args (@t333)) % 0.37/0.66 (step @p289 :rule refl :args (@t334)) % 0.37/0.66 (step @p290 :rule refl :args (@t74)) % 0.37/0.66 (step @p291 :rule cong :premises (@p290 @p289) :args ((= @t74 @t334))) % 0.37/0.66 (step @p292 :rule symm :premises (@p291)) % 0.37/0.66 (step @p293 :rule eq_resolve :premises (@p290 @p292)) % 0.37/0.66 (step @p294 :rule cong :premises (@p293 @p288) :args (@t335)) % 0.37/0.66 (step @p295 :rule cong :premises (@p294) :args ((forall @t70 @t335))) % 0.37/0.66 (step @p296 :rule eq-symm :args (@t67 @t65)) % 0.37/0.66 (step @p297 :rule cong :premises (@p296) :args (@t72)) % 0.37/0.66 (step @p298 :rule refl :args (@t69)) % 0.37/0.66 (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t73)) % 0.37/0.66 (step @p300 :rule refl :args (@t74)) % 0.37/0.66 (step @p301 :rule cong :premises (@p300 @p299) :args (@t75)) % 0.37/0.66 (step @p302 :rule cong :premises (@p301) :args (@t76)) % 0.37/0.66 (step @p303 :rule trans :premises (@p302 @p295)) % 0.37/0.66 (step @p304 :rule eq_resolve :premises (@p29 @p303)) % 0.37/0.66 (step @p305 :rule cong :premises (@p268) :args (@t336)) % 0.37/0.66 (step @p306 :rule refl :args (@t326)) % 0.37/0.66 (step @p307 :rule nary_cong :premises (@p306 @p305) :args (@t337)) % 0.37/0.66 (step @p308 :rule refl :args (@t322)) % 0.37/0.66 (step @p309 :rule cong :premises (@p308 @p307) :args (@t338)) % 0.37/0.66 (step @p310 :rule refl :args (@t339)) % 0.37/0.66 (step @p311 :rule cong :premises (@p310 @p309) :args ((=> @t339 @t338))) % 0.37/0.66 (assume-push @p322 @t339) % 0.37/0.66 (step @p313 :rule instantiate :premises (@p304) :args ((@list tptp.one_one_int tptp.t))) % 0.37/0.66 (step-pop @p323 :rule scope :premises (@p313)) % 0.37/0.66 (step @p314 :rule process_scope :premises (@p323) :args (@t338)) % 0.37/0.66 (step @p316 :rule eq_resolve :premises (@p314 @p311)) % 0.37/0.66 (step @p317 :rule implies_elim :premises (@p316)) % 0.37/0.66 (step @p318 :rule chain_m_resolution :premises (@p317 @p304) :args (@t340 @t324 (@list @t339))) % 0.37/0.66 (step @p319 :rule cnf_equiv_pos2 :args (@t340)) % 0.37/0.66 (step @p320 :rule reordering :premises (@p319) :args ((or @t322 (not @t330) (not @t340)))) % 0.37/0.66 (step @p321 false :rule chain_m_resolution :premises (@p320 @p318 @p281 @p261) :args (false (@list false false true) (@list @t340 @t330 @t322))) % 0.37/0.66 ) % 0.37/0.66 % SZS output end Proof % 0.37/0.66 % cvc5 exiting %------------------------------------------------------------------------------