%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX108_1 : TPTP v9.2.1. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 09:07:08 AM UTC 2026 % Result : Theorem 45.47s 45.79s % Output : Proof 45.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWX108_1 : TPTP v9.2.1. Released v9.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:56:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_ARI % 45.47/45.79 --- Run --finite-model-find --decision=internal at 45... % 45.47/45.79 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.47/45.79 % SZS status Theorem % 45.47/45.79 % SZS output start Proof % 45.47/45.79 ( % 45.47/45.79 (declare-sort tptp.symbol 0) % 45.47/45.79 (declare-sort tptp.general 0) % 45.47/45.79 (declare-const tptp.hp (-> tptp.general tptp.general Bool)) % 45.47/45.79 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 45.47/45.79 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 45.47/45.79 (declare-const tptp.c__supremum__ tptp.general) % 45.47/45.79 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 45.47/45.79 (declare-const tptp.tq (-> tptp.general tptp.general Bool)) % 45.47/45.79 (declare-const tptp.c__infimum__ tptp.general) % 45.47/45.79 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 45.47/45.79 (declare-const tptp.hq (-> tptp.general tptp.general Bool)) % 45.47/45.79 (declare-const tptp.tp (-> tptp.general tptp.general Bool)) % 45.47/45.79 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 45.47/45.79 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 45.47/45.79 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 45.47/45.79 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 45.47/45.79 (define @t1 () (@var "N" Int)) % 45.47/45.79 (define @t2 () (tptp.f__integer__ @t1)) % 45.47/45.79 (define @t3 () (@var "X" tptp.general)) % 45.47/45.79 (define @t4 () (@list @t1)) % 45.47/45.79 (define @t5 () (tptp.p__is_integer__ @t3)) % 45.47/45.79 (define @t6 () (@list @t3)) % 45.47/45.79 (define @t7 () (@var "X2" tptp.symbol)) % 45.47/45.79 (define @t8 () (@var "X1" tptp.general)) % 45.47/45.79 (define @t9 () (@var "N2" Int)) % 45.47/45.79 (define @t10 () (@var "N1" Int)) % 45.47/45.79 (define @t11 () (tptp.f__integer__ @t9)) % 45.47/45.79 (define @t12 () (tptp.f__integer__ @t10)) % 45.47/45.79 (define @t13 () (@list @t10 @t9)) % 45.47/45.79 (define @t14 () (@var "S2" tptp.symbol)) % 45.47/45.79 (define @t15 () (@var "S1" tptp.symbol)) % 45.47/45.79 (define @t16 () (@var "X2" tptp.general)) % 45.47/45.79 (define @t17 () (= @t8 @t16)) % 45.47/45.79 (define @t18 () (tptp.p__less_equal__ @t16 @t8)) % 45.47/45.79 (define @t19 () (tptp.p__less_equal__ @t8 @t16)) % 45.47/45.79 (define @t20 () (@list @t8 @t16)) % 45.47/45.79 (define @t21 () (@var "X3" tptp.general)) % 45.47/45.79 (define @t22 () (not @t17)) % 45.47/45.79 (define @t23 () (@var "S" tptp.symbol)) % 45.47/45.79 (define @t24 () (tptp.f__symbolic__ @t23)) % 45.47/45.79 (define @t25 () (@var "X2_g" tptp.general)) % 45.47/45.79 (define @t26 () (@var "X1_g" tptp.general)) % 45.47/45.79 (define @t27 () (@list @t26 @t25)) % 45.47/45.79 (define @t28 () (@var "V2_g" tptp.general)) % 45.47/45.79 (define @t29 () (@var "V1_g" tptp.general)) % 45.47/45.79 (define @t30 () (tptp.tq @t29 @t28)) % 45.47/45.79 (define @t31 () (@var "Z1_g" tptp.general)) % 45.47/45.79 (define @t32 () (@var "Z_g" tptp.general)) % 45.47/45.79 (define @t33 () (tptp.tp @t32 @t31)) % 45.47/45.79 (define @t34 () (@var "Y_g" tptp.general)) % 45.47/45.79 (define @t35 () (= @t31 @t34)) % 45.47/45.79 (define @t36 () (@var "X_g" tptp.general)) % 45.47/45.79 (define @t37 () (= @t32 @t36)) % 45.47/45.79 (define @t38 () (and @t37 @t35 @t33)) % 45.47/45.79 (define @t39 () (@list @t32 @t31)) % 45.47/45.79 (define @t40 () (exists @t39 @t38)) % 45.47/45.79 (define @t41 () (@var "J_i" Int)) % 45.47/45.79 (define @t42 () (= @t41 1)) % 45.47/45.79 (define @t43 () (@var "I_i" Int)) % 45.47/45.79 (define @t44 () (tptp.f__integer__ @t43)) % 45.47/45.79 (define @t45 () (= @t44 @t34)) % 45.47/45.79 (define @t46 () (= @t28 (tptp.f__integer__ (+ @t43 @t41)))) % 45.47/45.79 (define @t47 () (and @t46 @t45 @t42)) % 45.47/45.79 (define @t48 () (@list @t43 @t41)) % 45.47/45.79 (define @t49 () (exists @t48 @t47)) % 45.47/45.79 (define @t50 () (= @t29 @t36)) % 45.47/45.79 (define @t51 () (and @t50 @t49 @t40)) % 45.47/45.79 (define @t52 () (=> @t51 @t30)) % 45.47/45.79 (define @t53 () (tptp.hq @t29 @t28)) % 45.47/45.79 (define @t54 () (tptp.hp @t32 @t31)) % 45.47/45.79 (define @t55 () (and @t37 @t35 @t54)) % 45.47/45.79 (define @t56 () (exists @t39 @t55)) % 45.47/45.79 (define @t57 () (and @t50 @t49 @t56)) % 45.47/45.79 (define @t58 () (=> @t57 @t53)) % 45.47/45.79 (define @t59 () (and @t58 @t52)) % 45.47/45.79 (define @t60 () (@list @t29 @t28 @t36 @t34)) % 45.47/45.79 (define @t61 () (forall @t60 @t59)) % 45.47/45.79 (define @t62 () (- @t43 @t41)) % 45.47/45.79 (define @t63 () (tptp.f__integer__ @t62)) % 45.47/45.79 (define @t64 () (= @t31 @t63)) % 45.47/45.79 (define @t65 () (and @t64 @t45 @t42)) % 45.47/45.79 (define @t66 () (exists @t48 @t65)) % 45.47/45.79 (define @t67 () (and @t37 @t66 @t33)) % 45.47/45.79 (define @t68 () (exists @t39 @t67)) % 45.47/45.79 (define @t69 () (= @t28 @t34)) % 45.47/45.79 (define @t70 () (and @t50 @t69 @t68)) % 45.47/45.79 (define @t71 () (=> @t70 @t30)) % 45.47/45.79 (define @t72 () (and @t37 @t66 @t54)) % 45.47/45.79 (define @t73 () (exists @t39 @t72)) % 45.47/45.79 (define @t74 () (and @t50 @t69 @t73)) % 45.47/45.79 (define @t75 () (=> @t74 @t53)) % 45.47/45.79 (define @t76 () (and @t75 @t71)) % 45.47/45.79 (define @t77 () (forall @t60 @t76)) % 45.47/45.79 (define @t78 () (not @t77)) % 45.47/45.79 (define @t79 () (@var "BOUND_VARIABLE_7826" Int)) % 45.47/45.79 (define @t80 () (tptp.f__integer__ (+ 1 @t79))) % 45.47/45.79 (define @t81 () (@var "BOUND_VARIABLE_7743" tptp.general)) % 45.47/45.79 (define @t82 () (tptp.tq @t81 @t80)) % 45.47/45.79 (define @t83 () (tptp.f__integer__ @t79)) % 45.47/45.79 (define @t84 () (not (tptp.tp @t81 @t83))) % 45.47/45.79 (define @t85 () (or @t84 @t82)) % 45.47/45.79 (define @t86 () (not (= @t83 @t83))) % 45.47/45.79 (define @t87 () (or @t84 @t82 @t86)) % 45.47/45.79 (define @t88 () (@list @t81 @t79)) % 45.47/45.79 (define @t89 () (@var "BOUND_VARIABLE_7745" tptp.general)) % 45.47/45.79 (define @t90 () (not (= @t89 @t83))) % 45.47/45.79 (define @t91 () (not (tptp.tp @t81 @t89))) % 45.47/45.79 (define @t92 () (or @t90 @t91 @t82 @t90)) % 45.47/45.79 (define @t93 () (@list @t89)) % 45.47/45.79 (define @t94 () (or @t91 @t82 @t90)) % 45.47/45.79 (define @t95 () (forall @t93 @t94)) % 45.47/45.79 (define @t96 () (forall @t88 @t95)) % 45.47/45.79 (define @t97 () (forall (@list @t81 @t79 @t89) @t94)) % 45.47/45.79 (define @t98 () (@list @t81 @t89 @t79)) % 45.47/45.79 (define @t99 () (not (= @t80 @t80))) % 45.47/45.79 (define @t100 () (or @t91 @t82 @t99 @t90)) % 45.47/45.79 (define @t101 () (@var "BOUND_VARIABLE_7741" tptp.general)) % 45.47/45.79 (define @t102 () (not (= @t101 @t80))) % 45.47/45.79 (define @t103 () (tptp.tq @t81 @t101)) % 45.47/45.79 (define @t104 () (or @t102 @t91 @t103 @t102 @t90)) % 45.47/45.79 (define @t105 () (@list @t101)) % 45.47/45.79 (define @t106 () (or @t91 @t103 @t102 @t90)) % 45.47/45.79 (define @t107 () (forall @t105 @t106)) % 45.47/45.79 (define @t108 () (forall @t98 @t107)) % 45.47/45.79 (define @t109 () (forall (@list @t81 @t89 @t79 @t101) @t106)) % 45.47/45.79 (define @t110 () (@list @t101 @t81 @t89 @t79)) % 45.47/45.79 (define @t111 () (not (= @t81 @t81))) % 45.47/45.79 (define @t112 () (or @t111 @t91 @t103 @t102 @t90)) % 45.47/45.79 (define @t113 () (@var "BOUND_VARIABLE_7739" tptp.general)) % 45.47/45.79 (define @t114 () (tptp.tq @t113 @t101)) % 45.47/45.79 (define @t115 () (not (= @t113 @t81))) % 45.47/45.79 (define @t116 () (or @t115 @t115 @t91 @t114 @t102 @t90)) % 45.47/45.79 (define @t117 () (@list @t113)) % 45.47/45.79 (define @t118 () (or @t115 @t91 @t114 @t102 @t90)) % 45.47/45.79 (define @t119 () (forall @t117 @t118)) % 45.47/45.79 (define @t120 () (forall @t110 @t119)) % 45.47/45.79 (define @t121 () (forall (@list @t101 @t81 @t89 @t79 @t113) @t118)) % 45.47/45.79 (define @t122 () (@list @t113 @t101 @t81 @t89 @t79)) % 45.47/45.79 (define @t123 () (not (= @t83 @t89))) % 45.47/45.79 (define @t124 () (not (= @t80 @t101))) % 45.47/45.79 (define @t125 () (or @t115 @t91 @t114 @t124 @t123)) % 45.47/45.79 (define @t126 () (or @t124 @t123)) % 45.47/45.79 (define @t127 () (or @t115 @t126 @t91 @t114)) % 45.47/45.79 (define @t128 () (forall @t122 @t127)) % 45.47/45.79 (define @t129 () (@list @t79)) % 45.47/45.79 (define @t130 () (forall @t129 @t127)) % 45.47/45.79 (define @t131 () (@list @t113 @t101 @t81 @t89)) % 45.47/45.79 (define @t132 () (forall @t129 @t126)) % 45.47/45.79 (define @t133 () (@list @t43)) % 45.47/45.79 (define @t134 () (or @t115 @t132 @t91 @t114)) % 45.47/45.79 (define @t135 () (+ 1 @t43)) % 45.47/45.79 (define @t136 () (tptp.f__integer__ @t135)) % 45.47/45.79 (define @t137 () (@list @t43)) % 45.47/45.79 (define @t138 () (not (= @t89 @t44))) % 45.47/45.79 (define @t139 () (not (= @t101 @t136))) % 45.47/45.79 (define @t140 () (or @t139 @t138)) % 45.47/45.79 (define @t141 () (forall @t137 @t140)) % 45.47/45.79 (define @t142 () (or @t115 @t141 @t91 @t114)) % 45.47/45.79 (define @t143 () (forall @t131 @t142)) % 45.47/45.79 (define @t144 () (@var "BOUND_VARIABLE_7770" Int)) % 45.47/45.79 (define @t145 () (tptp.f__integer__ (+ 1 @t144))) % 45.47/45.79 (define @t146 () (@var "BOUND_VARIABLE_7721" tptp.general)) % 45.47/45.79 (define @t147 () (tptp.hq @t146 @t145)) % 45.47/45.79 (define @t148 () (tptp.f__integer__ @t144)) % 45.47/45.79 (define @t149 () (not (tptp.hp @t146 @t148))) % 45.47/45.79 (define @t150 () (or @t149 @t147)) % 45.47/45.79 (define @t151 () (not (= @t148 @t148))) % 45.47/45.79 (define @t152 () (or @t149 @t147 @t151)) % 45.47/45.79 (define @t153 () (@list @t146 @t144)) % 45.47/45.79 (define @t154 () (@var "BOUND_VARIABLE_7723" tptp.general)) % 45.47/45.79 (define @t155 () (not (= @t154 @t148))) % 45.47/45.79 (define @t156 () (not (tptp.hp @t146 @t154))) % 45.47/45.79 (define @t157 () (or @t155 @t156 @t147 @t155)) % 45.47/45.79 (define @t158 () (@list @t154)) % 45.47/45.79 (define @t159 () (or @t156 @t147 @t155)) % 45.47/45.79 (define @t160 () (forall @t158 @t159)) % 45.47/45.79 (define @t161 () (forall @t153 @t160)) % 45.47/45.79 (define @t162 () (forall (@list @t146 @t144 @t154) @t159)) % 45.47/45.79 (define @t163 () (@list @t146 @t154 @t144)) % 45.47/45.79 (define @t164 () (not (= @t145 @t145))) % 45.47/45.79 (define @t165 () (or @t156 @t147 @t164 @t155)) % 45.47/45.79 (define @t166 () (@var "BOUND_VARIABLE_7719" tptp.general)) % 45.47/45.79 (define @t167 () (not (= @t166 @t145))) % 45.47/45.79 (define @t168 () (tptp.hq @t146 @t166)) % 45.47/45.79 (define @t169 () (or @t167 @t156 @t168 @t167 @t155)) % 45.47/45.79 (define @t170 () (@list @t166)) % 45.47/45.79 (define @t171 () (or @t156 @t168 @t167 @t155)) % 45.47/45.79 (define @t172 () (forall @t170 @t171)) % 45.47/45.79 (define @t173 () (forall @t163 @t172)) % 45.47/45.79 (define @t174 () (forall (@list @t146 @t154 @t144 @t166) @t171)) % 45.47/45.79 (define @t175 () (@list @t166 @t146 @t154 @t144)) % 45.47/45.79 (define @t176 () (not (= @t146 @t146))) % 45.47/45.79 (define @t177 () (or @t176 @t156 @t168 @t167 @t155)) % 45.47/45.79 (define @t178 () (@var "BOUND_VARIABLE_7717" tptp.general)) % 45.47/45.79 (define @t179 () (tptp.hq @t178 @t166)) % 45.47/45.79 (define @t180 () (not (= @t178 @t146))) % 45.47/45.79 (define @t181 () (or @t180 @t180 @t156 @t179 @t167 @t155)) % 45.47/45.79 (define @t182 () (@list @t178)) % 45.47/45.79 (define @t183 () (or @t180 @t156 @t179 @t167 @t155)) % 45.47/45.79 (define @t184 () (forall @t182 @t183)) % 45.47/45.79 (define @t185 () (forall @t175 @t184)) % 45.47/45.79 (define @t186 () (forall (@list @t166 @t146 @t154 @t144 @t178) @t183)) % 45.47/45.79 (define @t187 () (@list @t178 @t166 @t146 @t154 @t144)) % 45.47/45.79 (define @t188 () (not (= @t148 @t154))) % 45.47/45.79 (define @t189 () (not (= @t145 @t166))) % 45.47/45.79 (define @t190 () (or @t180 @t156 @t179 @t189 @t188)) % 45.47/45.79 (define @t191 () (or @t189 @t188)) % 45.47/45.79 (define @t192 () (or @t180 @t191 @t156 @t179)) % 45.47/45.79 (define @t193 () (forall @t187 @t192)) % 45.47/45.79 (define @t194 () (@list @t144)) % 45.47/45.79 (define @t195 () (forall @t194 @t192)) % 45.47/45.79 (define @t196 () (@list @t178 @t166 @t146 @t154)) % 45.47/45.79 (define @t197 () (forall @t194 @t191)) % 45.47/45.79 (define @t198 () (or @t180 @t197 @t156 @t179)) % 45.47/45.79 (define @t199 () (not (= @t154 @t44))) % 45.47/45.79 (define @t200 () (not (= @t166 @t136))) % 45.47/45.79 (define @t201 () (or @t200 @t199)) % 45.47/45.79 (define @t202 () (forall @t137 @t201)) % 45.47/45.79 (define @t203 () (or @t180 @t202 @t156 @t179)) % 45.47/45.79 (define @t204 () (forall @t196 @t203)) % 45.47/45.79 (define @t205 () (tptp.tp @t36 @t34)) % 45.47/45.79 (define @t206 () (not @t205)) % 45.47/45.79 (define @t207 () (= @t34 @t44)) % 45.47/45.79 (define @t208 () (not @t207)) % 45.47/45.79 (define @t209 () (not (= @t28 @t136))) % 45.47/45.79 (define @t210 () (or @t209 @t208)) % 45.47/45.79 (define @t211 () (forall @t137 @t210)) % 45.47/45.79 (define @t212 () (not @t50)) % 45.47/45.79 (define @t213 () (or @t212 @t211 @t206 @t30)) % 45.47/45.79 (define @t214 () (forall @t60 @t213)) % 45.47/45.79 (define @t215 () (@list @t29 @t28 @t36 @t34)) % 45.47/45.79 (define @t216 () (tptp.hp @t36 @t34)) % 45.47/45.79 (define @t217 () (not @t216)) % 45.47/45.79 (define @t218 () (or @t212 @t211 @t217 @t53)) % 45.47/45.79 (define @t219 () (forall @t60 @t218)) % 45.47/45.79 (define @t220 () (and @t219 @t214)) % 45.47/45.79 (define @t221 () (not @t211)) % 45.47/45.79 (define @t222 () (not @t221)) % 45.47/45.79 (define @t223 () (or @t212 @t222 @t206)) % 45.47/45.79 (define @t224 () (and @t50 @t221 @t205)) % 45.47/45.79 (define @t225 () (or @t212 @t222 @t217)) % 45.47/45.79 (define @t226 () (and @t50 @t221 @t216)) % 45.47/45.79 (define @t227 () (and (=> @t226 @t53) (=> @t224 @t30))) % 45.47/45.79 (define @t228 () (not (= @t34 @t34))) % 45.47/45.79 (define @t229 () (or @t228 @t206)) % 45.47/45.79 (define @t230 () (not (tptp.tp @t36 @t31))) % 45.47/45.79 (define @t231 () (= @t34 @t31)) % 45.47/45.79 (define @t232 () (not @t231)) % 45.47/45.79 (define @t233 () (not @t35)) % 45.47/45.79 (define @t234 () (@list @t31)) % 45.47/45.79 (define @t235 () (or @t232 @t232 @t230)) % 45.47/45.79 (define @t236 () (or @t232 @t230)) % 45.47/45.79 (define @t237 () (not (= @t36 @t36))) % 45.47/45.79 (define @t238 () (or @t237 @t232 @t230)) % 45.47/45.79 (define @t239 () (not @t33)) % 45.47/45.79 (define @t240 () (= @t36 @t32)) % 45.47/45.79 (define @t241 () (not @t240)) % 45.47/45.79 (define @t242 () (not @t37)) % 45.47/45.79 (define @t243 () (@list @t32)) % 45.47/45.79 (define @t244 () (or @t241 @t241 @t232 @t239)) % 45.47/45.79 (define @t245 () (or @t241 @t232 @t239)) % 45.47/45.79 (define @t246 () (forall @t243 @t245)) % 45.47/45.79 (define @t247 () (forall @t234 @t246)) % 45.47/45.79 (define @t248 () (@list @t31 @t32)) % 45.47/45.79 (define @t249 () (forall @t248 @t245)) % 45.47/45.79 (define @t250 () (and @t240 @t231 @t33)) % 45.47/45.79 (define @t251 () (forall @t39 (not @t250))) % 45.47/45.79 (define @t252 () (not @t251)) % 45.47/45.79 (define @t253 () (= 1 1)) % 45.47/45.79 (define @t254 () (not @t253)) % 45.47/45.79 (define @t255 () (+ @t43 1)) % 45.47/45.79 (define @t256 () (tptp.f__integer__ @t255)) % 45.47/45.79 (define @t257 () (= @t28 @t256)) % 45.47/45.79 (define @t258 () (not @t257)) % 45.47/45.79 (define @t259 () (or @t258 @t208 @t254)) % 45.47/45.79 (define @t260 () (not @t42)) % 45.47/45.79 (define @t261 () (not @t46)) % 45.47/45.79 (define @t262 () (or @t260 @t261 @t208 @t260)) % 45.47/45.79 (define @t263 () (@list @t41)) % 45.47/45.79 (define @t264 () (or @t261 @t208 @t260)) % 45.47/45.79 (define @t265 () (forall @t263 @t264)) % 45.47/45.79 (define @t266 () (forall @t137 @t265)) % 45.47/45.79 (define @t267 () (or @t208 @t260)) % 45.47/45.79 (define @t268 () (not (and @t207 @t42))) % 45.47/45.79 (define @t269 () (and @t46 @t207 @t42)) % 45.47/45.79 (define @t270 () (forall @t48 (not @t269))) % 45.47/45.79 (define @t271 () (not @t270)) % 45.47/45.79 (define @t272 () (or @t228 @t217)) % 45.47/45.79 (define @t273 () (not (tptp.hp @t36 @t31))) % 45.47/45.79 (define @t274 () (or @t232 @t232 @t273)) % 45.47/45.79 (define @t275 () (or @t232 @t273)) % 45.47/45.79 (define @t276 () (or @t237 @t232 @t273)) % 45.47/45.79 (define @t277 () (not @t54)) % 45.47/45.79 (define @t278 () (or @t241 @t241 @t232 @t277)) % 45.47/45.79 (define @t279 () (or @t241 @t232 @t277)) % 45.47/45.79 (define @t280 () (forall @t243 @t279)) % 45.47/45.79 (define @t281 () (forall @t234 @t280)) % 45.47/45.79 (define @t282 () (forall @t248 @t279)) % 45.47/45.79 (define @t283 () (and @t240 @t231 @t54)) % 45.47/45.79 (define @t284 () (forall @t39 (not @t283))) % 45.47/45.79 (define @t285 () (not @t284)) % 45.47/45.79 (define @t286 () (@var "BOUND_VARIABLE_8048" Int)) % 45.47/45.79 (define @t287 () (@var "BOUND_VARIABLE_8001" tptp.general)) % 45.47/45.79 (define @t288 () (not (tptp.hp @t287 (tptp.f__integer__ (+ -1 @t286))))) % 45.47/45.79 (define @t289 () (tptp.f__integer__ @t286)) % 45.47/45.79 (define @t290 () (tptp.hq @t287 @t289)) % 45.47/45.79 (define @t291 () (or @t290 @t288)) % 45.47/45.79 (define @t292 () (@list @t287 @t286)) % 45.47/45.79 (define @t293 () (forall @t292 @t291)) % 45.47/45.79 (define @t294 () (@quantifiers_skolemize @t293 1)) % 45.47/45.79 (define @t295 () (+ -1 @t294)) % 45.47/45.79 (define @t296 () (@quantifiers_skolemize @t293 0)) % 45.47/45.79 (define @t297 () (tptp.hp @t296 (tptp.f__integer__ @t295))) % 45.47/45.79 (define @t298 () (not @t297)) % 45.47/45.79 (define @t299 () (tptp.hq @t296 (tptp.f__integer__ @t294))) % 45.47/45.79 (define @t300 () (or @t299 @t298)) % 45.47/45.79 (define @t301 () (+ 1 @t295)) % 45.47/45.79 (define @t302 () (tptp.f__integer__ @t301)) % 45.47/45.79 (define @t303 () (tptp.hq @t296 @t302)) % 45.47/45.79 (define @t304 () (or @t298 @t303)) % 45.47/45.79 (define @t305 () (forall @t153 @t150)) % 45.47/45.79 (define @t306 () (or @t298 @t299)) % 45.47/45.79 (define @t307 () (@list false)) % 45.47/45.79 (define @t308 () (not @t300)) % 45.47/45.79 (define @t309 () (not @t293)) % 45.47/45.79 (define @t310 () (@var "BOUND_VARIABLE_8099" Int)) % 45.47/45.79 (define @t311 () (@var "BOUND_VARIABLE_8023" tptp.general)) % 45.47/45.79 (define @t312 () (not (tptp.tp @t311 (tptp.f__integer__ (+ -1 @t310))))) % 45.47/45.79 (define @t313 () (tptp.f__integer__ @t310)) % 45.47/45.79 (define @t314 () (tptp.tq @t311 @t313)) % 45.47/45.79 (define @t315 () (or @t314 @t312)) % 45.47/45.79 (define @t316 () (not (= @t313 @t313))) % 45.47/45.79 (define @t317 () (or @t314 @t312 @t316)) % 45.47/45.79 (define @t318 () (@list @t311 @t310)) % 45.47/45.79 (define @t319 () (@var "BOUND_VARIABLE_8025" tptp.general)) % 45.47/45.79 (define @t320 () (not (= @t319 @t313))) % 45.47/45.79 (define @t321 () (tptp.tq @t311 @t319)) % 45.47/45.79 (define @t322 () (or @t320 @t321 @t312 @t320)) % 45.47/45.79 (define @t323 () (@list @t319)) % 45.47/45.79 (define @t324 () (or @t321 @t312 @t320)) % 45.47/45.79 (define @t325 () (forall @t323 @t324)) % 45.47/45.79 (define @t326 () (forall @t318 @t325)) % 45.47/45.79 (define @t327 () (forall (@list @t311 @t310 @t319) @t324)) % 45.47/45.79 (define @t328 () (@list @t311 @t319 @t310)) % 45.47/45.79 (define @t329 () (not (= @t319 @t319))) % 45.47/45.79 (define @t330 () (or @t329 @t321 @t312 @t320)) % 45.47/45.79 (define @t331 () (@var "BOUND_VARIABLE_8021" tptp.general)) % 45.47/45.79 (define @t332 () (tptp.tq @t311 @t331)) % 45.47/45.79 (define @t333 () (not (= @t331 @t319))) % 45.47/45.79 (define @t334 () (or @t333 @t333 @t332 @t312 @t320)) % 45.47/45.79 (define @t335 () (@list @t331)) % 45.47/45.79 (define @t336 () (or @t333 @t332 @t312 @t320)) % 45.47/45.79 (define @t337 () (forall @t335 @t336)) % 45.47/45.79 (define @t338 () (forall @t328 @t337)) % 45.47/45.79 (define @t339 () (forall (@list @t311 @t319 @t310 @t331) @t336)) % 45.47/45.79 (define @t340 () (@list @t331 @t311 @t319 @t310)) % 45.47/45.79 (define @t341 () (not (= @t311 @t311))) % 45.47/45.79 (define @t342 () (or @t341 @t333 @t332 @t312 @t320)) % 45.47/45.79 (define @t343 () (@var "BOUND_VARIABLE_8019" tptp.general)) % 45.47/45.79 (define @t344 () (tptp.tq @t343 @t331)) % 45.47/45.79 (define @t345 () (not (= @t343 @t311))) % 45.47/45.79 (define @t346 () (or @t345 @t345 @t333 @t344 @t312 @t320)) % 45.47/45.79 (define @t347 () (@list @t343)) % 45.47/45.79 (define @t348 () (or @t345 @t333 @t344 @t312 @t320)) % 45.47/45.79 (define @t349 () (forall @t347 @t348)) % 45.47/45.79 (define @t350 () (forall @t340 @t349)) % 45.47/45.79 (define @t351 () (forall (@list @t331 @t311 @t319 @t310 @t343) @t348)) % 45.47/45.79 (define @t352 () (@list @t343 @t331 @t311 @t319 @t310)) % 45.47/45.79 (define @t353 () (not (= @t313 @t319))) % 45.47/45.79 (define @t354 () (or @t345 @t333 @t344 @t312 @t353)) % 45.47/45.79 (define @t355 () (or @t312 @t353)) % 45.47/45.79 (define @t356 () (or @t345 @t333 @t355 @t344)) % 45.47/45.79 (define @t357 () (forall @t352 @t356)) % 45.47/45.79 (define @t358 () (@list @t310)) % 45.47/45.79 (define @t359 () (forall @t358 @t356)) % 45.47/45.79 (define @t360 () (@list @t343 @t331 @t311 @t319)) % 45.47/45.79 (define @t361 () (forall @t358 @t355)) % 45.47/45.79 (define @t362 () (@var "BOUND_VARIABLE_7952" Int)) % 45.47/45.79 (define @t363 () (@list @t362)) % 45.47/45.79 (define @t364 () (or @t345 @t333 @t361 @t344)) % 45.47/45.79 (define @t365 () (tptp.f__integer__ @t362)) % 45.47/45.79 (define @t366 () (tptp.f__integer__ (+ -1 @t362))) % 45.47/45.79 (define @t367 () (not (tptp.tp @t311 @t366))) % 45.47/45.79 (define @t368 () (@list @t362)) % 45.47/45.79 (define @t369 () (not (= @t319 @t365))) % 45.47/45.79 (define @t370 () (or @t367 @t369)) % 45.47/45.79 (define @t371 () (forall @t368 @t370)) % 45.47/45.79 (define @t372 () (or @t345 @t333 @t371 @t344)) % 45.47/45.79 (define @t373 () (forall @t360 @t372)) % 45.47/45.79 (define @t374 () (not (= @t289 @t289))) % 45.47/45.79 (define @t375 () (or @t290 @t288 @t374)) % 45.47/45.79 (define @t376 () (@var "BOUND_VARIABLE_8003" tptp.general)) % 45.47/45.79 (define @t377 () (not (= @t376 @t289))) % 45.47/45.79 (define @t378 () (tptp.hq @t287 @t376)) % 45.47/45.79 (define @t379 () (or @t377 @t378 @t288 @t377)) % 45.47/45.79 (define @t380 () (@list @t376)) % 45.47/45.79 (define @t381 () (or @t378 @t288 @t377)) % 45.47/45.79 (define @t382 () (forall @t380 @t381)) % 45.47/45.79 (define @t383 () (forall @t292 @t382)) % 45.47/45.79 (define @t384 () (forall (@list @t287 @t286 @t376) @t381)) % 45.47/45.79 (define @t385 () (@list @t287 @t376 @t286)) % 45.47/45.79 (define @t386 () (not (= @t376 @t376))) % 45.47/45.79 (define @t387 () (or @t386 @t378 @t288 @t377)) % 45.47/45.79 (define @t388 () (@var "BOUND_VARIABLE_7999" tptp.general)) % 45.47/45.79 (define @t389 () (tptp.hq @t287 @t388)) % 45.47/45.79 (define @t390 () (not (= @t388 @t376))) % 45.47/45.79 (define @t391 () (or @t390 @t390 @t389 @t288 @t377)) % 45.47/45.79 (define @t392 () (@list @t388)) % 45.47/45.79 (define @t393 () (or @t390 @t389 @t288 @t377)) % 45.47/45.79 (define @t394 () (forall @t392 @t393)) % 45.47/45.79 (define @t395 () (forall @t385 @t394)) % 45.47/45.79 (define @t396 () (forall (@list @t287 @t376 @t286 @t388) @t393)) % 45.47/45.79 (define @t397 () (@list @t388 @t287 @t376 @t286)) % 45.47/45.79 (define @t398 () (not (= @t287 @t287))) % 45.47/45.79 (define @t399 () (or @t398 @t390 @t389 @t288 @t377)) % 45.47/45.79 (define @t400 () (@var "BOUND_VARIABLE_7997" tptp.general)) % 45.47/45.79 (define @t401 () (tptp.hq @t400 @t388)) % 45.47/45.79 (define @t402 () (not (= @t400 @t287))) % 45.47/45.79 (define @t403 () (or @t402 @t402 @t390 @t401 @t288 @t377)) % 45.47/45.79 (define @t404 () (@list @t400)) % 45.47/45.79 (define @t405 () (or @t402 @t390 @t401 @t288 @t377)) % 45.47/45.79 (define @t406 () (forall @t404 @t405)) % 45.47/45.79 (define @t407 () (forall @t397 @t406)) % 45.47/45.79 (define @t408 () (forall (@list @t388 @t287 @t376 @t286 @t400) @t405)) % 45.47/45.79 (define @t409 () (@list @t400 @t388 @t287 @t376 @t286)) % 45.47/45.79 (define @t410 () (not (= @t289 @t376))) % 45.47/45.79 (define @t411 () (or @t402 @t390 @t401 @t288 @t410)) % 45.47/45.79 (define @t412 () (or @t288 @t410)) % 45.47/45.79 (define @t413 () (or @t402 @t390 @t412 @t401)) % 45.47/45.79 (define @t414 () (forall @t409 @t413)) % 45.47/45.79 (define @t415 () (@list @t286)) % 45.47/45.79 (define @t416 () (forall @t415 @t413)) % 45.47/45.79 (define @t417 () (@list @t400 @t388 @t287 @t376)) % 45.47/45.79 (define @t418 () (forall @t415 @t412)) % 45.47/45.79 (define @t419 () (@var "BOUND_VARIABLE_7911" Int)) % 45.47/45.79 (define @t420 () (@list @t419)) % 45.47/45.79 (define @t421 () (or @t402 @t390 @t418 @t401)) % 45.47/45.79 (define @t422 () (tptp.f__integer__ @t419)) % 45.47/45.79 (define @t423 () (tptp.f__integer__ (+ -1 @t419))) % 45.47/45.79 (define @t424 () (not (tptp.hp @t287 @t423))) % 45.47/45.79 (define @t425 () (@list @t419)) % 45.47/45.79 (define @t426 () (not (= @t376 @t422))) % 45.47/45.79 (define @t427 () (or @t424 @t426)) % 45.47/45.79 (define @t428 () (forall @t425 @t427)) % 45.47/45.79 (define @t429 () (or @t402 @t390 @t428 @t401)) % 45.47/45.79 (define @t430 () (forall @t417 @t429)) % 45.47/45.79 (define @t431 () (not (= @t34 @t365))) % 45.47/45.79 (define @t432 () (not (tptp.tp @t36 @t366))) % 45.47/45.79 (define @t433 () (or @t432 @t431)) % 45.47/45.79 (define @t434 () (forall @t368 @t433)) % 45.47/45.79 (define @t435 () (not @t69)) % 45.47/45.79 (define @t436 () (or @t212 @t435 @t434 @t30)) % 45.47/45.79 (define @t437 () (forall @t60 @t436)) % 45.47/45.79 (define @t438 () (not (= @t34 @t422))) % 45.47/45.79 (define @t439 () (not (tptp.hp @t36 @t423))) % 45.47/45.79 (define @t440 () (or @t439 @t438)) % 45.47/45.79 (define @t441 () (forall @t425 @t440)) % 45.47/45.79 (define @t442 () (or @t212 @t435 @t441 @t53)) % 45.47/45.79 (define @t443 () (forall @t60 @t442)) % 45.47/45.79 (define @t444 () (and @t443 @t437)) % 45.47/45.79 (define @t445 () (not @t434)) % 45.47/45.79 (define @t446 () (not @t445)) % 45.47/45.79 (define @t447 () (or @t212 @t435 @t446)) % 45.47/45.79 (define @t448 () (and @t50 @t69 @t445)) % 45.47/45.79 (define @t449 () (not @t441)) % 45.47/45.79 (define @t450 () (not @t449)) % 45.47/45.79 (define @t451 () (or @t212 @t435 @t450)) % 45.47/45.79 (define @t452 () (and @t50 @t69 @t449)) % 45.47/45.79 (define @t453 () (and (=> @t452 @t53) (=> @t448 @t30))) % 45.47/45.79 (define @t454 () (not (= @t366 @t366))) % 45.47/45.79 (define @t455 () (or @t432 @t454 @t431)) % 45.47/45.79 (define @t456 () (not (= @t31 @t366))) % 45.47/45.79 (define @t457 () (or @t456 @t230 @t456 @t431)) % 45.47/45.79 (define @t458 () (or @t230 @t456 @t431)) % 45.47/45.79 (define @t459 () (forall @t234 @t458)) % 45.47/45.79 (define @t460 () (forall @t368 @t459)) % 45.47/45.79 (define @t461 () (forall (@list @t362 @t31) @t458)) % 45.47/45.79 (define @t462 () (@list @t31 @t362)) % 45.47/45.79 (define @t463 () (or @t237 @t230 @t456 @t431)) % 45.47/45.79 (define @t464 () (or @t241 @t241 @t239 @t456 @t431)) % 45.47/45.79 (define @t465 () (or @t241 @t239 @t456 @t431)) % 45.47/45.79 (define @t466 () (forall @t243 @t465)) % 45.47/45.79 (define @t467 () (forall @t462 @t466)) % 45.47/45.79 (define @t468 () (forall (@list @t31 @t362 @t32) @t465)) % 45.47/45.79 (define @t469 () (@list @t32 @t31 @t362)) % 45.47/45.79 (define @t470 () (or @t456 @t431)) % 45.47/45.79 (define @t471 () (or @t241 @t470 @t239)) % 45.47/45.79 (define @t472 () (forall @t469 @t471)) % 45.47/45.79 (define @t473 () (forall @t368 @t471)) % 45.47/45.79 (define @t474 () (forall @t368 @t470)) % 45.47/45.79 (define @t475 () (or @t241 @t474 @t239)) % 45.47/45.79 (define @t476 () (+ -1 @t43)) % 45.47/45.79 (define @t477 () (not (= @t31 (tptp.f__integer__ @t476)))) % 45.47/45.79 (define @t478 () (or @t477 @t208)) % 45.47/45.79 (define @t479 () (forall @t137 @t478)) % 45.47/45.79 (define @t480 () (not @t479)) % 45.47/45.79 (define @t481 () (not @t480)) % 45.47/45.79 (define @t482 () (or @t241 @t481 @t239)) % 45.47/45.79 (define @t483 () (and @t240 @t480 @t33)) % 45.47/45.79 (define @t484 () (forall @t39 (not @t483))) % 45.47/45.79 (define @t485 () (not @t484)) % 45.47/45.79 (define @t486 () (* -1 1)) % 45.47/45.79 (define @t487 () (+ @t43 @t486)) % 45.47/45.79 (define @t488 () (tptp.f__integer__ @t487)) % 45.47/45.79 (define @t489 () (= @t31 @t488)) % 45.47/45.79 (define @t490 () (not @t489)) % 45.47/45.79 (define @t491 () (or @t490 @t208 @t254)) % 45.47/45.79 (define @t492 () (+ @t43 (* -1 @t41))) % 45.47/45.79 (define @t493 () (= @t31 (tptp.f__integer__ @t492))) % 45.47/45.79 (define @t494 () (not @t493)) % 45.47/45.79 (define @t495 () (or @t260 @t494 @t208 @t260)) % 45.47/45.79 (define @t496 () (or @t494 @t208 @t260)) % 45.47/45.79 (define @t497 () (forall @t263 @t496)) % 45.47/45.79 (define @t498 () (forall @t137 @t497)) % 45.47/45.79 (define @t499 () (and @t493 @t207 @t42)) % 45.47/45.79 (define @t500 () (forall @t48 (not @t499))) % 45.47/45.79 (define @t501 () (not @t500)) % 45.47/45.79 (define @t502 () (not (= @t423 @t423))) % 45.47/45.79 (define @t503 () (or @t439 @t502 @t438)) % 45.47/45.79 (define @t504 () (not (= @t31 @t423))) % 45.47/45.79 (define @t505 () (or @t504 @t273 @t504 @t438)) % 45.47/45.79 (define @t506 () (or @t273 @t504 @t438)) % 45.47/45.79 (define @t507 () (forall @t234 @t506)) % 45.47/45.79 (define @t508 () (forall @t425 @t507)) % 45.47/45.79 (define @t509 () (forall (@list @t419 @t31) @t506)) % 45.47/45.79 (define @t510 () (@list @t31 @t419)) % 45.47/45.79 (define @t511 () (or @t237 @t273 @t504 @t438)) % 45.47/45.79 (define @t512 () (or @t241 @t241 @t277 @t504 @t438)) % 45.47/45.79 (define @t513 () (or @t241 @t277 @t504 @t438)) % 45.47/45.79 (define @t514 () (forall @t243 @t513)) % 45.47/45.79 (define @t515 () (forall @t510 @t514)) % 45.47/45.79 (define @t516 () (forall (@list @t31 @t419 @t32) @t513)) % 45.47/45.79 (define @t517 () (@list @t32 @t31 @t419)) % 45.47/45.79 (define @t518 () (or @t504 @t438)) % 45.47/45.79 (define @t519 () (or @t241 @t518 @t277)) % 45.47/45.79 (define @t520 () (forall @t517 @t519)) % 45.47/45.79 (define @t521 () (forall @t425 @t519)) % 45.47/45.79 (define @t522 () (forall @t425 @t518)) % 45.47/45.79 (define @t523 () (or @t241 @t522 @t277)) % 45.47/45.79 (define @t524 () (or @t241 @t481 @t277)) % 45.47/45.79 (define @t525 () (and @t240 @t480 @t54)) % 45.47/45.79 (define @t526 () (forall @t39 (not @t525))) % 45.47/45.79 (define @t527 () (not @t526)) % 45.47/45.79 (define @t528 () (forall @t318 @t315)) % 45.47/45.79 (define @t529 () (not @t528)) % 45.47/45.79 (define @t530 () (@quantifiers_skolemize @t528 1)) % 45.47/45.79 (define @t531 () (+ -1 @t530)) % 45.47/45.79 (define @t532 () (@quantifiers_skolemize @t528 0)) % 45.47/45.79 (define @t533 () (tptp.tp @t532 (tptp.f__integer__ @t531))) % 45.47/45.79 (define @t534 () (not @t533)) % 45.47/45.79 (define @t535 () (tptp.tq @t532 (tptp.f__integer__ @t530))) % 45.47/45.79 (define @t536 () (or @t535 @t534)) % 45.47/45.79 (define @t537 () (not @t536)) % 45.47/45.79 (define @t538 () (@list true)) % 45.47/45.79 (define @t539 () (@list @t536)) % 45.47/45.79 (define @t540 () (or @t534 @t535)) % 45.47/45.79 (define @t541 () (not @t540)) % 45.47/45.79 (define @t542 () (@list true false)) % 45.47/45.79 (define @t543 () (+ 1 @t531)) % 45.47/45.79 (define @t544 () (tptp.f__integer__ @t543)) % 45.47/45.79 (define @t545 () (tptp.tq @t532 @t544)) % 45.47/45.79 (define @t546 () (or @t534 @t545)) % 45.47/45.79 (define @t547 () (forall @t88 @t85)) % 45.47/45.79 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 45.47/45.79 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 45.47/45.79 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 45.47/45.79 (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 45.47/45.79 (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14)))) % 45.47/45.79 (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9)))) % 45.47/45.79 (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17))) % 45.47/45.79 (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21)))) % 45.47/45.79 (assume @p9 (forall @t20 (or @t19 @t18))) % 45.47/45.79 (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22)))) % 45.47/45.79 (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18))) % 45.47/45.79 (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22)))) % 45.47/45.79 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 45.47/45.79 (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24))) % 45.47/45.79 (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__))) % 45.47/45.79 (assume @p16 (forall @t27 (=> (tptp.hq @t26 @t25) (tptp.tq @t26 @t25)))) % 45.47/45.79 (assume @p17 (forall @t27 (=> (tptp.hp @t26 @t25) (tptp.tp @t26 @t25)))) % 45.47/45.79 (assume @p18 @t61) % 45.47/45.79 (assume @p19 @t78) % 45.47/45.79 (assume @p20 true) % 45.47/45.79 (step @p21 :rule aci_norm :args ((= (or @t84 @t82 false) @t85))) % 45.47/45.79 (step @p22 :rule evaluate :args ((not true))) % 45.47/45.79 (step @p23 :rule eq-refl :args (@t83)) % 45.47/45.79 (step @p24 :rule cong :premises (@p23) :args (@t86)) % 45.47/45.79 (step @p25 :rule trans :premises (@p24 @p22)) % 45.47/45.79 (step @p26 :rule refl :args (@t82)) % 45.47/45.79 (step @p27 :rule refl :args (@t84)) % 45.47/45.79 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t87)) % 45.47/45.79 (step @p29 :rule trans :premises (@p28 @p21)) % 45.47/45.79 (step @p30 :rule cong :premises (@p29) :args ((forall @t88 @t87))) % 45.47/45.79 (step @p31 :rule quant-var-elim-eq :args ((= (forall @t93 @t92) @t87))) % 45.47/45.79 (step @p32 :rule aci_norm :args ((= @t94 @t92))) % 45.47/45.79 (step @p33 :rule cong :premises (@p32) :args (@t95)) % 45.47/45.79 (step @p34 :rule trans :premises (@p33 @p31)) % 45.47/45.79 (step @p35 :rule cong :premises (@p34) :args (@t96)) % 45.47/45.79 (step @p36 :rule quant-merge-prenex :args ((= @t96 @t97))) % 45.47/45.79 (step @p37 :rule symm :premises (@p36)) % 45.47/45.79 (step @p38 :rule quant_var_reordering :args ((= (forall @t98 @t94) @t97))) % 45.47/45.79 (step @p39 :rule trans :premises (@p38 @p37 @p35)) % 45.47/45.79 (step @p40 :rule trans :premises (@p39 @p30)) % 45.47/45.79 (step @p41 :rule aci_norm :args ((= (or @t91 @t82 false @t90) @t94))) % 45.47/45.79 (step @p42 :rule refl :args (@t90)) % 45.47/45.79 (step @p43 :rule eq-refl :args (@t80)) % 45.47/45.79 (step @p44 :rule cong :premises (@p43) :args (@t99)) % 45.47/45.79 (step @p45 :rule trans :premises (@p44 @p22)) % 45.47/45.79 (step @p46 :rule refl :args (@t91)) % 45.47/45.79 (step @p47 :rule nary_cong :premises (@p46 @p26 @p45 @p42) :args (@t100)) % 45.47/45.79 (step @p48 :rule trans :premises (@p47 @p41)) % 45.47/45.79 (step @p49 :rule cong :premises (@p48) :args ((forall @t98 @t100))) % 45.47/45.79 (step @p50 :rule trans :premises (@p49 @p40)) % 45.47/45.79 (step @p51 :rule quant-var-elim-eq :args ((= (forall @t105 @t104) @t100))) % 45.47/45.79 (step @p52 :rule aci_norm :args ((= @t106 @t104))) % 45.47/45.79 (step @p53 :rule cong :premises (@p52) :args (@t107)) % 45.47/45.79 (step @p54 :rule trans :premises (@p53 @p51)) % 45.47/45.79 (step @p55 :rule cong :premises (@p54) :args (@t108)) % 45.47/45.79 (step @p56 :rule quant-merge-prenex :args ((= @t108 @t109))) % 45.47/45.79 (step @p57 :rule symm :premises (@p56)) % 45.47/45.79 (step @p58 :rule quant_var_reordering :args ((= (forall @t110 @t106) @t109))) % 45.47/45.79 (step @p59 :rule trans :premises (@p58 @p57 @p55)) % 45.47/45.79 (step @p60 :rule trans :premises (@p59 @p50)) % 45.47/45.79 (step @p61 :rule aci_norm :args ((= (or false @t91 @t103 @t102 @t90) @t106))) % 45.47/45.79 (step @p62 :rule refl :args (@t102)) % 45.47/45.79 (step @p63 :rule refl :args (@t103)) % 45.47/45.79 (step @p64 :rule eq-refl :args (@t81)) % 45.47/45.79 (step @p65 :rule cong :premises (@p64) :args (@t111)) % 45.47/45.79 (step @p66 :rule trans :premises (@p65 @p22)) % 45.47/45.79 (step @p67 :rule nary_cong :premises (@p66 @p46 @p63 @p62 @p42) :args (@t112)) % 45.47/45.79 (step @p68 :rule trans :premises (@p67 @p61)) % 45.47/45.79 (step @p69 :rule cong :premises (@p68) :args ((forall @t110 @t112))) % 45.47/45.79 (step @p70 :rule trans :premises (@p69 @p60)) % 45.47/45.79 (step @p71 :rule quant-var-elim-eq :args ((= (forall @t117 @t116) @t112))) % 45.47/45.79 (step @p72 :rule aci_norm :args ((= @t118 @t116))) % 45.47/45.79 (step @p73 :rule cong :premises (@p72) :args (@t119)) % 45.47/45.79 (step @p74 :rule trans :premises (@p73 @p71)) % 45.47/45.79 (step @p75 :rule cong :premises (@p74) :args (@t120)) % 45.47/45.79 (step @p76 :rule quant-merge-prenex :args ((= @t120 @t121))) % 45.47/45.79 (step @p77 :rule symm :premises (@p76)) % 45.47/45.79 (step @p78 :rule quant_var_reordering :args ((= (forall @t122 @t118) @t121))) % 45.47/45.79 (step @p79 :rule trans :premises (@p78 @p77 @p75)) % 45.47/45.79 (step @p80 :rule trans :premises (@p79 @p70)) % 45.47/45.79 (step @p81 :rule eq-symm :args (@t83 @t89)) % 45.47/45.79 (step @p82 :rule cong :premises (@p81) :args (@t123)) % 45.47/45.79 (step @p83 :rule eq-symm :args (@t80 @t101)) % 45.47/45.79 (step @p84 :rule cong :premises (@p83) :args (@t124)) % 45.47/45.79 (step @p85 :rule refl :args (@t114)) % 45.47/45.79 (step @p86 :rule refl :args (@t115)) % 45.47/45.79 (step @p87 :rule nary_cong :premises (@p86 @p46 @p85 @p84 @p82) :args (@t125)) % 45.47/45.79 (step @p88 :rule aci_norm :args ((= @t127 @t125))) % 45.47/45.79 (step @p89 :rule trans :premises (@p88 @p87)) % 45.47/45.79 (step @p90 :rule cong :premises (@p89) :args (@t128)) % 45.47/45.79 (step @p91 :rule trans :premises (@p90 @p80)) % 45.47/45.79 (step @p92 :rule quant-merge-prenex :args ((= (forall @t131 @t130) @t128))) % 45.47/45.79 (step @p93 :rule refl :args (@t114)) % 45.47/45.79 (step @p94 :rule refl :args (@t91)) % 45.47/45.79 (step @p95 :rule alpha_equiv :args (@t132 (@list @t79) @t133)) % 45.47/45.79 (step @p96 :rule refl :args (@t115)) % 45.47/45.79 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93) :args (@t134)) % 45.47/45.79 (step @p98 :rule quant-miniscope-or :args ((= @t130 @t134))) % 45.47/45.79 (step @p99 :rule trans :premises (@p98 @p97)) % 45.47/45.79 (step @p100 :rule symm :premises (@p99)) % 45.47/45.79 (step @p101 :rule cong :premises (@p100) :args ((forall @t131 (or @t115 (forall @t137 (or (not (= @t136 @t101)) (not (= @t44 @t89)))) @t91 @t114)))) % 45.47/45.79 (step @p102 :rule trans :premises (@p101 @p92)) % 45.47/45.79 (step @p103 :rule trans :premises (@p102 @p91)) % 45.47/45.79 (step @p104 :rule eq-symm :args (@t89 @t44)) % 45.47/45.79 (step @p105 :rule cong :premises (@p104) :args (@t138)) % 45.47/45.79 (step @p106 :rule eq-symm :args (@t101 @t136)) % 45.47/45.79 (step @p107 :rule cong :premises (@p106) :args (@t139)) % 45.47/45.79 (step @p108 :rule nary_cong :premises (@p107 @p105) :args (@t140)) % 45.47/45.79 (step @p109 :rule cong :premises (@p108) :args (@t141)) % 45.47/45.79 (step @p110 :rule nary_cong :premises (@p86 @p109 @p46 @p85) :args (@t142)) % 45.47/45.79 (step @p111 :rule cong :premises (@p110) :args (@t143)) % 45.47/45.79 (step @p112 :rule trans :premises (@p111 @p103)) % 45.47/45.79 (step @p113 :rule aci_norm :args ((= (or @t149 @t147 false) @t150))) % 45.47/45.79 (step @p114 :rule eq-refl :args (@t148)) % 45.47/45.79 (step @p115 :rule cong :premises (@p114) :args (@t151)) % 45.47/45.79 (step @p116 :rule trans :premises (@p115 @p22)) % 45.47/45.79 (step @p117 :rule refl :args (@t147)) % 45.47/45.79 (step @p118 :rule refl :args (@t149)) % 45.47/45.79 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116) :args (@t152)) % 45.47/45.79 (step @p120 :rule trans :premises (@p119 @p113)) % 45.47/45.79 (step @p121 :rule cong :premises (@p120) :args ((forall @t153 @t152))) % 45.47/45.79 (step @p122 :rule quant-var-elim-eq :args ((= (forall @t158 @t157) @t152))) % 45.47/45.79 (step @p123 :rule aci_norm :args ((= @t159 @t157))) % 45.47/45.79 (step @p124 :rule cong :premises (@p123) :args (@t160)) % 45.47/45.79 (step @p125 :rule trans :premises (@p124 @p122)) % 45.47/45.79 (step @p126 :rule cong :premises (@p125) :args (@t161)) % 45.47/45.79 (step @p127 :rule quant-merge-prenex :args ((= @t161 @t162))) % 45.47/45.79 (step @p128 :rule symm :premises (@p127)) % 45.47/45.79 (step @p129 :rule quant_var_reordering :args ((= (forall @t163 @t159) @t162))) % 45.47/45.79 (step @p130 :rule trans :premises (@p129 @p128 @p126)) % 45.47/45.79 (step @p131 :rule trans :premises (@p130 @p121)) % 45.47/45.79 (step @p132 :rule aci_norm :args ((= (or @t156 @t147 false @t155) @t159))) % 45.47/45.79 (step @p133 :rule refl :args (@t155)) % 45.47/45.79 (step @p134 :rule eq-refl :args (@t145)) % 45.47/45.79 (step @p135 :rule cong :premises (@p134) :args (@t164)) % 45.47/45.79 (step @p136 :rule trans :premises (@p135 @p22)) % 45.47/45.79 (step @p137 :rule refl :args (@t156)) % 45.47/45.79 (step @p138 :rule nary_cong :premises (@p137 @p117 @p136 @p133) :args (@t165)) % 45.47/45.79 (step @p139 :rule trans :premises (@p138 @p132)) % 45.47/45.79 (step @p140 :rule cong :premises (@p139) :args ((forall @t163 @t165))) % 45.47/45.79 (step @p141 :rule trans :premises (@p140 @p131)) % 45.47/45.79 (step @p142 :rule quant-var-elim-eq :args ((= (forall @t170 @t169) @t165))) % 45.47/45.79 (step @p143 :rule aci_norm :args ((= @t171 @t169))) % 45.47/45.79 (step @p144 :rule cong :premises (@p143) :args (@t172)) % 45.47/45.79 (step @p145 :rule trans :premises (@p144 @p142)) % 45.47/45.79 (step @p146 :rule cong :premises (@p145) :args (@t173)) % 45.47/45.79 (step @p147 :rule quant-merge-prenex :args ((= @t173 @t174))) % 45.47/45.79 (step @p148 :rule symm :premises (@p147)) % 45.47/45.79 (step @p149 :rule quant_var_reordering :args ((= (forall @t175 @t171) @t174))) % 45.47/45.79 (step @p150 :rule trans :premises (@p149 @p148 @p146)) % 45.47/45.79 (step @p151 :rule trans :premises (@p150 @p141)) % 45.47/45.79 (step @p152 :rule aci_norm :args ((= (or false @t156 @t168 @t167 @t155) @t171))) % 45.47/45.79 (step @p153 :rule refl :args (@t167)) % 45.47/45.79 (step @p154 :rule refl :args (@t168)) % 45.47/45.79 (step @p155 :rule eq-refl :args (@t146)) % 45.47/45.79 (step @p156 :rule cong :premises (@p155) :args (@t176)) % 45.47/45.79 (step @p157 :rule trans :premises (@p156 @p22)) % 45.47/45.79 (step @p158 :rule nary_cong :premises (@p157 @p137 @p154 @p153 @p133) :args (@t177)) % 45.47/45.79 (step @p159 :rule trans :premises (@p158 @p152)) % 45.47/45.79 (step @p160 :rule cong :premises (@p159) :args ((forall @t175 @t177))) % 45.47/45.79 (step @p161 :rule trans :premises (@p160 @p151)) % 45.47/45.79 (step @p162 :rule quant-var-elim-eq :args ((= (forall @t182 @t181) @t177))) % 45.47/45.79 (step @p163 :rule aci_norm :args ((= @t183 @t181))) % 45.47/45.79 (step @p164 :rule cong :premises (@p163) :args (@t184)) % 45.47/45.79 (step @p165 :rule trans :premises (@p164 @p162)) % 45.47/45.79 (step @p166 :rule cong :premises (@p165) :args (@t185)) % 45.47/45.79 (step @p167 :rule quant-merge-prenex :args ((= @t185 @t186))) % 45.47/45.79 (step @p168 :rule symm :premises (@p167)) % 45.47/45.79 (step @p169 :rule quant_var_reordering :args ((= (forall @t187 @t183) @t186))) % 45.47/45.79 (step @p170 :rule trans :premises (@p169 @p168 @p166)) % 45.47/45.79 (step @p171 :rule trans :premises (@p170 @p161)) % 45.47/45.79 (step @p172 :rule eq-symm :args (@t148 @t154)) % 45.47/45.79 (step @p173 :rule cong :premises (@p172) :args (@t188)) % 45.47/45.79 (step @p174 :rule eq-symm :args (@t145 @t166)) % 45.47/45.79 (step @p175 :rule cong :premises (@p174) :args (@t189)) % 45.47/45.79 (step @p176 :rule refl :args (@t179)) % 45.47/45.79 (step @p177 :rule refl :args (@t180)) % 45.47/45.79 (step @p178 :rule nary_cong :premises (@p177 @p137 @p176 @p175 @p173) :args (@t190)) % 45.47/45.79 (step @p179 :rule aci_norm :args ((= @t192 @t190))) % 45.47/45.79 (step @p180 :rule trans :premises (@p179 @p178)) % 45.47/45.79 (step @p181 :rule cong :premises (@p180) :args (@t193)) % 45.47/45.79 (step @p182 :rule trans :premises (@p181 @p171)) % 45.47/45.79 (step @p183 :rule quant-merge-prenex :args ((= (forall @t196 @t195) @t193))) % 45.47/45.79 (step @p184 :rule refl :args (@t179)) % 45.47/45.79 (step @p185 :rule refl :args (@t156)) % 45.47/45.79 (step @p186 :rule alpha_equiv :args (@t197 (@list @t144) @t133)) % 45.47/45.79 (step @p187 :rule refl :args (@t180)) % 45.47/45.79 (step @p188 :rule nary_cong :premises (@p187 @p186 @p185 @p184) :args (@t198)) % 45.47/45.79 (step @p189 :rule quant-miniscope-or :args ((= @t195 @t198))) % 45.47/45.79 (step @p190 :rule trans :premises (@p189 @p188)) % 45.47/45.79 (step @p191 :rule symm :premises (@p190)) % 45.47/45.79 (step @p192 :rule cong :premises (@p191) :args ((forall @t196 (or @t180 (forall @t137 (or (not (= @t136 @t166)) (not (= @t44 @t154)))) @t156 @t179)))) % 45.47/45.79 (step @p193 :rule trans :premises (@p192 @p183)) % 45.47/45.79 (step @p194 :rule trans :premises (@p193 @p182)) % 45.47/45.79 (step @p195 :rule eq-symm :args (@t154 @t44)) % 45.47/45.79 (step @p196 :rule cong :premises (@p195) :args (@t199)) % 45.47/45.79 (step @p197 :rule eq-symm :args (@t166 @t136)) % 45.47/45.79 (step @p198 :rule cong :premises (@p197) :args (@t200)) % 45.47/45.79 (step @p199 :rule nary_cong :premises (@p198 @p196) :args (@t201)) % 45.47/45.79 (step @p200 :rule cong :premises (@p199) :args (@t202)) % 45.47/45.79 (step @p201 :rule nary_cong :premises (@p177 @p200 @p137 @p176) :args (@t203)) % 45.47/45.79 (step @p202 :rule cong :premises (@p201) :args (@t204)) % 45.47/45.79 (step @p203 :rule trans :premises (@p202 @p194)) % 45.47/45.79 (step @p204 :rule nary_cong :premises (@p203 @p112) :args ((and @t204 @t143))) % 45.47/45.79 (step @p205 :rule alpha_equiv :args (@t214 @t215 (@list @t113 @t101 @t81 @t89))) % 45.47/45.79 (step @p206 :rule alpha_equiv :args (@t219 @t215 (@list @t178 @t166 @t146 @t154))) % 45.47/45.79 (step @p207 :rule nary_cong :premises (@p206 @p205) :args (@t220)) % 45.47/45.79 (step @p208 :rule quant-miniscope-and :args ((= (forall @t60 (and 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(step @p630 :rule refl :args (@t435)) % 45.47/45.79 (step @p631 :rule nary_cong :premises (@p215 @p630 @p629) :args (@t447)) % 45.47/45.79 (step @p632 :rule aci_norm :args ((= (or @t212 (or @t435 @t446)) @t447))) % 45.47/45.79 (step @p633 :rule trans :premises (@p632 @p631)) % 45.47/45.79 (step @p634 :rule bool-and-de-morgan :args (@t69 @t445 true)) % 45.47/45.79 (step @p635 :rule nary_cong :premises (@p215 @p634) :args ((or @t212 (not (and @t69 @t445))))) % 45.47/45.79 (step @p636 :rule bool-and-de-morgan :args (@t50 @t69 (and @t445))) % 45.47/45.79 (step @p637 :rule trans :premises (@p636 @p635)) % 45.47/45.79 (step @p638 :rule trans :premises (@p637 @p633)) % 45.47/45.79 (step @p639 :rule nary_cong :premises (@p638 @p212) :args ((or (not @t448) @t30))) % 45.47/45.79 (step @p640 :rule trans :premises (@p639 @p628)) % 45.47/45.79 (step @p641 :rule bool-impl-elim :args (@t448 @t30)) % 45.47/45.79 (step @p642 :rule trans :premises (@p641 @p640)) % 45.47/45.79 (step @p643 :rule aci_norm :args ((= (or (or @t212 @t435 @t441) @t53) @t442))) % 45.47/45.79 (step @p644 :rule bool-double-not-elim :args (@t441)) % 45.47/45.79 (step @p645 :rule nary_cong :premises (@p215 @p630 @p644) :args (@t451)) % 45.47/45.79 (step @p646 :rule aci_norm :args ((= (or @t212 (or @t435 @t450)) @t451))) % 45.47/45.79 (step @p647 :rule trans :premises (@p646 @p645)) % 45.47/45.79 (step @p648 :rule bool-and-de-morgan :args (@t69 @t449 true)) % 45.47/45.79 (step @p649 :rule nary_cong :premises (@p215 @p648) :args ((or @t212 (not (and @t69 @t449))))) % 45.47/45.79 (step @p650 :rule bool-and-de-morgan :args (@t50 @t69 (and @t449))) % 45.47/45.79 (step @p651 :rule trans :premises (@p650 @p649)) % 45.47/45.79 (step @p652 :rule trans :premises (@p651 @p647)) % 45.47/45.79 (step @p653 :rule nary_cong :premises (@p652 @p229) :args ((or (not @t452) @t53))) % 45.47/45.79 (step @p654 :rule trans :premises (@p653 @p643)) % 45.47/45.79 (step @p655 :rule bool-impl-elim :args (@t452 @t53)) % 45.47/45.79 (step @p656 :rule trans :premises (@p655 @p654)) % 45.47/45.79 (step @p657 :rule nary_cong :premises (@p656 @p642) :args (@t453)) % 45.47/45.79 (step @p658 :rule cong :premises (@p657) :args ((forall @t60 @t453))) % 45.47/45.79 (step @p659 :rule trans :premises (@p658 @p627)) % 45.47/45.79 (step @p660 :rule aci_norm :args ((= (or @t432 false @t431) @t433))) % 45.47/45.79 (step @p661 :rule refl :args (@t431)) % 45.47/45.79 (step @p662 :rule eq-refl :args (@t366)) % 45.47/45.79 (step @p663 :rule cong :premises (@p662) :args (@t454)) % 45.47/45.79 (step @p664 :rule trans :premises (@p663 @p22)) % 45.47/45.79 (step @p665 :rule refl :args (@t432)) % 45.47/45.79 (step @p666 :rule nary_cong :premises (@p665 @p664 @p661) :args (@t455)) % 45.47/45.79 (step @p667 :rule trans :premises (@p666 @p660)) % 45.47/45.79 (step @p668 :rule cong :premises (@p667) :args ((forall @t368 @t455))) % 45.47/45.79 (step @p669 :rule quant-var-elim-eq :args ((= (forall @t234 @t457) @t455))) % 45.47/45.79 (step @p670 :rule aci_norm :args ((= @t458 @t457))) % 45.47/45.79 (step @p671 :rule cong :premises (@p670) :args (@t459)) % 45.47/45.79 (step @p672 :rule trans :premises (@p671 @p669)) % 45.47/45.79 (step @p673 :rule cong :premises (@p672) :args (@t460)) % 45.47/45.79 (step @p674 :rule quant-merge-prenex :args ((= @t460 @t461))) % 45.47/45.79 (step @p675 :rule symm :premises (@p674)) % 45.47/45.79 (step @p676 :rule quant_var_reordering :args ((= (forall @t462 @t458) @t461))) % 45.47/45.79 (step @p677 :rule trans :premises (@p676 @p675 @p673)) % 45.47/45.79 (step @p678 :rule trans :premises (@p677 @p668)) % 45.47/45.79 (step @p679 :rule aci_norm :args ((= (or false @t230 @t456 @t431) @t458))) % 45.47/45.79 (step @p680 :rule refl :args (@t456)) % 45.47/45.79 (step @p681 :rule nary_cong :premises (@p271 @p267 @p680 @p661) :args (@t463)) % 45.47/45.79 (step @p682 :rule trans :premises (@p681 @p679)) % 45.47/45.79 (step @p683 :rule cong :premises (@p682) :args ((forall @t462 @t463))) % 45.47/45.79 (step @p684 :rule trans :premises (@p683 @p678)) % 45.47/45.79 (step @p685 :rule quant-var-elim-eq :args ((= (forall @t243 (or @t242 @t241 @t239 @t456 @t431)) @t463))) % 45.47/45.79 (step @p686 :rule refl :args (@t431)) % 45.47/45.79 (step @p687 :rule refl :args (@t456)) % 45.47/45.79 (step @p688 :rule nary_cong :premises (@p280 @p278 @p277 @p687 @p686) :args (@t464)) % 45.47/45.79 (step @p689 :rule aci_norm :args ((= @t465 @t464))) % 45.47/45.79 (step @p690 :rule trans :premises (@p689 @p688)) % 45.47/45.79 (step @p691 :rule cong :premises (@p690) :args (@t466)) % 45.47/45.79 (step @p692 :rule trans :premises (@p691 @p685)) % 45.47/45.79 (step @p693 :rule cong :premises (@p692) :args (@t467)) % 45.47/45.79 (step @p694 :rule quant-merge-prenex :args ((= @t467 @t468))) % 45.47/45.79 (step @p695 :rule symm :premises (@p694)) % 45.47/45.79 (step @p696 :rule quant_var_reordering :args ((= (forall @t469 @t465) @t468))) % 45.47/45.79 (step @p697 :rule trans :premises (@p696 @p695 @p693)) % 45.47/45.79 (step @p698 :rule trans :premises (@p697 @p684)) % 45.47/45.79 (step @p699 :rule aci_norm :args ((= @t471 @t465))) % 45.47/45.79 (step @p700 :rule cong :premises (@p699) :args (@t472)) % 45.47/45.79 (step @p701 :rule trans :premises (@p700 @p698)) % 45.47/45.79 (step @p702 :rule quant-merge-prenex :args ((= (forall @t39 @t473) @t472))) % 45.47/45.79 (step @p703 :rule alpha_equiv :args (@t474 @t363 @t133)) % 45.47/45.79 (step @p704 :rule nary_cong :premises (@p278 @p703 @p277) :args (@t475)) % 45.47/45.79 (step @p705 :rule quant-miniscope-or :args ((= @t473 @t475))) % 45.47/45.79 (step @p706 :rule trans :premises (@p705 @p704)) % 45.47/45.79 (step @p707 :rule symm :premises (@p706)) % 45.47/45.79 (step @p708 :rule cong :premises (@p707) :args ((forall @t39 (or @t241 @t479 @t239)))) % 45.47/45.79 (step @p709 :rule trans :premises (@p708 @p702)) % 45.47/45.79 (step @p710 :rule trans :premises (@p709 @p701)) % 45.47/45.79 (step @p711 :rule bool-double-not-elim :args (@t479)) % 45.47/45.79 (step @p712 :rule nary_cong :premises (@p278 @p711 @p277) :args (@t482)) % 45.47/45.79 (step @p713 :rule aci_norm :args ((= (or @t241 (or @t481 @t239)) @t482))) % 45.47/45.79 (step @p714 :rule trans :premises (@p713 @p712)) % 45.47/45.79 (step @p715 :rule bool-and-de-morgan :args (@t480 @t33 true)) % 45.47/45.79 (step @p716 :rule nary_cong :premises (@p278 @p715) :args ((or @t241 (not (and @t480 @t33))))) % 45.47/45.79 (step @p717 :rule bool-and-de-morgan :args (@t240 @t480 (and @t33))) % 45.47/45.79 (step @p718 :rule trans :premises (@p717 @p716)) % 45.47/45.79 (step @p719 :rule trans :premises (@p718 @p714)) % 45.47/45.79 (step @p720 :rule cong :premises (@p719) :args (@t484)) % 45.47/45.79 (step @p721 :rule trans :premises (@p720 @p710)) % 45.47/45.79 (step @p722 :rule cong :premises (@p721) :args (@t485)) % 45.47/45.79 (step @p723 :rule exists-elim :args ((= (exists @t39 @t483) @t485))) % 45.47/45.79 (step @p724 :rule trans :premises (@p723 @p722)) % 45.47/45.79 (step @p725 :rule aci_norm :args ((= (or @t477 @t208 false) @t478))) % 45.47/45.79 (step @p726 :rule arith_poly_norm :args ((= (+ @t43 -1) @t476))) % 45.47/45.79 (step @p727 :rule evaluate :args (@t486)) % 45.47/45.79 (step @p728 :rule refl :args (@t43)) % 45.47/45.79 (step @p729 :rule nary_cong :premises (@p728 @p727) :args (@t487)) % 45.47/45.79 (step @p730 :rule trans :premises (@p729 @p726)) % 45.47/45.79 (step @p731 :rule cong :premises (@p730) :args (@t488)) % 45.47/45.79 (step @p732 :rule refl :args (@t31)) % 45.47/45.79 (step @p733 :rule cong :premises (@p732 @p731) :args (@t489)) % 45.47/45.79 (step @p734 :rule cong :premises (@p733) :args (@t490)) % 45.47/45.79 (step @p735 :rule nary_cong :premises (@p734 @p314 @p313) :args (@t491)) % 45.47/45.79 (step @p736 :rule trans :premises (@p735 @p725)) % 45.47/45.79 (step @p737 :rule cong :premises (@p736) :args ((forall @t137 @t491))) % 45.47/45.79 (step @p738 :rule quant-var-elim-eq :args ((= (forall @t263 @t495) @t491))) % 45.47/45.79 (step @p739 :rule aci_norm :args ((= @t496 @t495))) % 45.47/45.79 (step @p740 :rule cong :premises (@p739) :args (@t497)) % 45.47/45.79 (step @p741 :rule trans :premises (@p740 @p738)) % 45.47/45.79 (step @p742 :rule cong :premises (@p741) :args (@t498)) % 45.47/45.79 (step @p743 :rule quant-merge-prenex :args ((= @t498 (forall @t48 @t496)))) % 45.47/45.79 (step @p744 :rule symm :premises (@p743)) % 45.47/45.79 (step @p745 :rule trans :premises (@p744 @p742)) % 45.47/45.79 (step @p746 :rule trans :premises (@p745 @p737)) % 45.47/45.79 (step @p747 :rule aci_norm :args ((= (or @t494 @t267) @t496))) % 45.47/45.79 (step @p748 :rule refl :args (@t494)) % 45.47/45.79 (step @p749 :rule nary_cong :premises (@p748 @p333) :args ((or @t494 @t268))) % 45.47/45.79 (step @p750 :rule bool-and-de-morgan :args (@t493 @t207 (and @t42))) % 45.47/45.79 (step @p751 :rule trans :premises (@p750 @p749)) % 45.47/45.79 (step @p752 :rule trans :premises (@p751 @p747)) % 45.47/45.79 (step @p753 :rule cong :premises (@p752) :args (@t500)) % 45.47/45.79 (step @p754 :rule trans :premises (@p753 @p746)) % 45.47/45.79 (step @p755 :rule cong :premises (@p754) :args (@t501)) % 45.47/45.79 (step @p756 :rule exists-elim :args ((= (exists @t48 @t499) @t501))) % 45.47/45.79 (step @p757 :rule trans :premises (@p756 @p755)) % 45.47/45.79 (step @p758 :rule arith_poly_norm :args ((= @t62 @t492))) % 45.47/45.79 (step @p759 :rule cong :premises (@p758) :args (@t63)) % 45.47/45.79 (step @p760 :rule cong :premises (@p732 @p759) :args (@t64)) % 45.47/45.79 (step @p761 :rule nary_cong :premises (@p760 @p345 @p344) :args (@t65)) % 45.47/45.79 (step @p762 :rule cong :premises (@p761) :args (@t66)) % 45.47/45.79 (step @p763 :rule trans :premises (@p762 @p757)) % 45.47/45.79 (step @p764 :rule nary_cong :premises (@p306 @p763 @p304) :args (@t67)) % 45.47/45.79 (step @p765 :rule cong :premises (@p764) :args (@t68)) % 45.47/45.79 (step @p766 :rule trans :premises (@p765 @p724)) % 45.47/45.79 (step @p767 :rule refl :args (@t69)) % 45.47/45.79 (step @p768 :rule nary_cong :premises (@p350 @p767 @p766) :args (@t70)) % 45.47/45.79 (step @p769 :rule cong :premises (@p768 @p246) :args (@t71)) % 45.47/45.79 (step @p770 :rule aci_norm :args ((= (or @t439 false @t438) @t440))) % 45.47/45.79 (step @p771 :rule refl :args (@t438)) % 45.47/45.79 (step @p772 :rule eq-refl :args (@t423)) % 45.47/45.79 (step @p773 :rule cong :premises (@p772) :args (@t502)) % 45.47/45.79 (step @p774 :rule trans :premises (@p773 @p22)) % 45.47/45.79 (step @p775 :rule refl :args (@t439)) % 45.47/45.79 (step @p776 :rule nary_cong :premises (@p775 @p774 @p771) :args (@t503)) % 45.47/45.79 (step @p777 :rule trans :premises (@p776 @p770)) % 45.47/45.79 (step @p778 :rule cong :premises (@p777) :args ((forall @t425 @t503))) % 45.47/45.79 (step @p779 :rule quant-var-elim-eq :args ((= (forall @t234 @t505) @t503))) % 45.47/45.79 (step @p780 :rule aci_norm :args ((= @t506 @t505))) % 45.47/45.79 (step @p781 :rule cong :premises (@p780) :args (@t507)) % 45.47/45.79 (step @p782 :rule trans :premises (@p781 @p779)) % 45.47/45.79 (step @p783 :rule cong :premises (@p782) :args (@t508)) % 45.47/45.79 (step @p784 :rule quant-merge-prenex :args ((= @t508 @t509))) % 45.47/45.79 (step @p785 :rule symm :premises (@p784)) % 45.47/45.79 (step @p786 :rule quant_var_reordering :args ((= (forall @t510 @t506) @t509))) % 45.47/45.79 (step @p787 :rule trans :premises (@p786 @p785 @p783)) % 45.47/45.79 (step @p788 :rule trans :premises (@p787 @p778)) % 45.47/45.79 (step @p789 :rule aci_norm :args ((= (or false @t273 @t504 @t438) @t506))) % 45.47/45.79 (step @p790 :rule refl :args (@t504)) % 45.47/45.79 (step @p791 :rule nary_cong :premises (@p271 @p368 @p790 @p771) :args (@t511)) % 45.47/45.79 (step @p792 :rule trans :premises (@p791 @p789)) % 45.47/45.79 (step @p793 :rule cong :premises (@p792) :args ((forall @t510 @t511))) % 45.47/45.79 (step @p794 :rule trans :premises (@p793 @p788)) % 45.47/45.79 (step @p795 :rule quant-var-elim-eq :args ((= (forall @t243 (or @t242 @t241 @t277 @t504 @t438)) @t511))) % 45.47/45.79 (step @p796 :rule refl :args (@t438)) % 45.47/45.79 (step @p797 :rule refl :args (@t504)) % 45.47/45.79 (step @p798 :rule nary_cong :premises (@p280 @p278 @p374 @p797 @p796) :args (@t512)) % 45.47/45.79 (step @p799 :rule aci_norm :args ((= @t513 @t512))) % 45.47/45.79 (step @p800 :rule trans :premises (@p799 @p798)) % 45.47/45.79 (step @p801 :rule cong :premises (@p800) :args (@t514)) % 45.47/45.79 (step @p802 :rule trans :premises (@p801 @p795)) % 45.47/45.79 (step @p803 :rule cong :premises (@p802) :args (@t515)) % 45.47/45.79 (step @p804 :rule quant-merge-prenex :args ((= @t515 @t516))) % 45.47/45.79 (step @p805 :rule symm :premises (@p804)) % 45.47/45.79 (step @p806 :rule quant_var_reordering :args ((= (forall @t517 @t513) @t516))) % 45.47/45.79 (step @p807 :rule trans :premises (@p806 @p805 @p803)) % 45.47/45.79 (step @p808 :rule trans :premises (@p807 @p794)) % 45.47/45.79 (step @p809 :rule aci_norm :args ((= @t519 @t513))) % 45.47/45.79 (step @p810 :rule cong :premises (@p809) :args (@t520)) % 45.47/45.79 (step @p811 :rule trans :premises (@p810 @p808)) % 45.47/45.79 (step @p812 :rule quant-merge-prenex :args ((= (forall @t39 @t521) @t520))) % 45.47/45.79 (step @p813 :rule alpha_equiv :args (@t522 @t420 @t133)) % 45.47/45.79 (step @p814 :rule nary_cong :premises (@p278 @p813 @p374) :args (@t523)) % 45.47/45.79 (step @p815 :rule quant-miniscope-or :args ((= @t521 @t523))) % 45.47/45.79 (step @p816 :rule trans :premises (@p815 @p814)) % 45.47/45.79 (step @p817 :rule symm :premises (@p816)) % 45.47/45.79 (step @p818 :rule cong :premises (@p817) :args ((forall @t39 (or @t241 @t479 @t277)))) % 45.47/45.79 (step @p819 :rule trans :premises (@p818 @p812)) % 45.47/45.79 (step @p820 :rule trans :premises (@p819 @p811)) % 45.47/45.79 (step @p821 :rule nary_cong :premises (@p278 @p711 @p374) :args (@t524)) % 45.47/45.79 (step @p822 :rule aci_norm :args ((= (or @t241 (or @t481 @t277)) @t524))) % 45.47/45.79 (step @p823 :rule trans :premises (@p822 @p821)) % 45.47/45.79 (step @p824 :rule bool-and-de-morgan :args (@t480 @t54 true)) % 45.47/45.79 (step @p825 :rule nary_cong :premises (@p278 @p824) :args ((or @t241 (not (and @t480 @t54))))) % 45.47/45.79 (step @p826 :rule bool-and-de-morgan :args (@t240 @t480 (and @t54))) % 45.47/45.79 (step @p827 :rule trans :premises (@p826 @p825)) % 45.47/45.79 (step @p828 :rule trans :premises (@p827 @p823)) % 45.47/45.79 (step @p829 :rule cong :premises (@p828) :args (@t526)) % 45.47/45.79 (step @p830 :rule trans :premises (@p829 @p820)) % 45.47/45.79 (step @p831 :rule cong :premises (@p830) :args (@t527)) % 45.47/45.79 (step @p832 :rule exists-elim :args ((= (exists @t39 @t525) @t527))) % 45.47/45.79 (step @p833 :rule trans :premises (@p832 @p831)) % 45.47/45.79 (step @p834 :rule nary_cong :premises (@p306 @p763 @p398) :args (@t72)) % 45.47/45.79 (step @p835 :rule cong :premises (@p834) :args (@t73)) % 45.47/45.79 (step @p836 :rule trans :premises (@p835 @p833)) % 45.47/45.79 (step @p837 :rule nary_cong :premises (@p350 @p767 @p836) :args (@t74)) % 45.47/45.79 (step @p838 :rule cong :premises (@p837 @p353) :args (@t75)) % 45.47/45.79 (step @p839 :rule nary_cong :premises (@p838 @p769) :args (@t76)) % 45.47/45.79 (step @p840 :rule cong :premises (@p839) :args (@t77)) % 45.47/45.79 (step @p841 :rule trans :premises (@p840 @p659)) % 45.47/45.79 (step @p842 :rule cong :premises (@p841) :args (@t78)) % 45.47/45.79 (step @p843 :rule eq_resolve :premises (@p19 @p842)) % 45.47/45.79 (step @p844 :rule not_and :premises (@p843)) % 45.47/45.79 (step @p845 :rule chain_m_resolution :premises (@p844 @p444) :args (@t529 @t307 (@list @t293))) % 45.47/45.79 (step @p846 :rule refl :args (@t537)) % 45.47/45.79 (step @p847 :rule bool-double-not-elim :args (@t528)) % 45.47/45.79 (step @p848 :rule nary_cong :premises (@p847 @p846) :args ((or (not @t529) @t537))) % 45.47/45.79 (assume-push @p887 @t529) % 45.47/45.79 (step @p850 :rule skolemize :premises (@p887)) % 45.47/45.79 (step-pop @p888 :rule scope :premises (@p850)) % 45.47/45.79 (step @p851 :rule process_scope :premises (@p888) :args (@t537)) % 45.47/45.79 (step @p853 :rule implies_elim :premises (@p851)) % 45.47/45.79 (step @p854 :rule eq_resolve :premises (@p853 @p848)) % 45.47/45.79 (step @p855 :rule chain_m_resolution :premises (@p854 @p845) :args (@t537 @t538 (@list @t528))) % 45.47/45.79 (step @p856 :rule bool-double-not-elim :args (@t533)) % 45.47/45.79 (step @p857 :rule refl :args (@t536)) % 45.47/45.79 (step @p858 :rule nary_cong :premises (@p857 @p856) :args ((or @t536 (not @t534)))) % 45.47/45.79 (step @p859 :rule cnf_or_neg :args (@t536 1)) % 45.47/45.79 (step @p860 :rule eq_resolve :premises (@p859 @p858)) % 45.47/45.79 (step @p861 :rule reordering :premises (@p860) :args ((or @t533 @t536))) % 45.47/45.79 (step @p862 :rule chain_m_resolution :premises (@p861 @p855) :args (@t533 @t538 @t539)) % 45.47/45.79 (step @p863 :rule cnf_or_neg :args (@t536 0)) % 45.47/45.79 (step @p864 :rule chain_m_resolution :premises (@p863 @p855) :args ((not @t535) @t538 @t539)) % 45.47/45.79 (step @p865 :rule cnf_or_pos :args (@t540)) % 45.47/45.79 (step @p866 :rule reordering :premises (@p865) :args ((or @t535 @t534 @t541))) % 45.47/45.79 (step @p867 :rule chain_m_resolution :premises (@p866 @p864 @p862) :args (@t541 @t542 (@list @t535 @t533))) % 45.47/45.79 (step @p868 :rule arith_poly_norm :args ((= @t543 @t530))) % 45.47/45.79 (step @p869 :rule cong :premises (@p868) :args (@t544)) % 45.47/45.79 (step @p870 :rule refl :args (@t532)) % 45.47/45.79 (step @p871 :rule cong :premises (@p870 @p869) :args (@t545)) % 45.47/45.79 (step @p872 :rule refl :args (@t534)) % 45.47/45.79 (step @p873 :rule nary_cong :premises (@p872 @p871) :args (@t546)) % 45.47/45.79 (step @p874 :rule refl :args (@t547)) % 45.47/45.79 (step @p875 :rule cong :premises (@p874 @p873) :args ((=> @t547 @t546))) % 45.47/45.79 (assume-push @p889 @t547) % 45.47/45.79 (step @p877 :rule instantiate :premises (@p408) :args ((@list @t532 @t531))) % 45.47/45.79 (step-pop @p890 :rule scope :premises (@p877)) % 45.47/45.79 (step @p878 :rule process_scope :premises (@p890) :args (@t546)) % 45.47/45.79 (step @p880 :rule eq_resolve :premises (@p878 @p875)) % 45.47/45.79 (step @p881 :rule implies_elim :premises (@p880)) % 45.47/45.79 (step @p882 false :rule chain_m_resolution :premises (@p881 @p867 @p408) :args (false @t542 (@list @t540 @t547))) % 45.47/45.79 ) % 45.47/45.79 % SZS output end Proof % 45.47/45.79 % cvc5 exiting %------------------------------------------------------------------------------