%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX109_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 : n019.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 20.14s 20.39s % Output : Proof 20.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX109_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 : n019.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 22:56:49 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_ARI % 20.14/20.39 --- Run --finite-model-find --decision=internal at 45... % 20.14/20.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 20.14/20.39 % SZS status Theorem % 20.14/20.39 % SZS output start Proof % 20.14/20.39 ( % 20.14/20.39 (declare-sort tptp.symbol 0) % 20.14/20.39 (declare-sort tptp.general 0) % 20.14/20.39 (declare-const tptp.hp (-> tptp.general tptp.general Bool)) % 20.14/20.39 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 20.14/20.39 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 20.14/20.39 (declare-const tptp.c__supremum__ tptp.general) % 20.14/20.39 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 20.14/20.39 (declare-const tptp.tq (-> tptp.general tptp.general Bool)) % 20.14/20.39 (declare-const tptp.c__infimum__ tptp.general) % 20.14/20.39 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 20.14/20.39 (declare-const tptp.hq (-> tptp.general tptp.general Bool)) % 20.14/20.39 (declare-const tptp.tp (-> tptp.general tptp.general Bool)) % 20.14/20.39 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 20.14/20.39 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 20.14/20.39 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 20.14/20.39 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 20.14/20.39 (define @t1 () (@var "N" Int)) % 20.14/20.39 (define @t2 () (tptp.f__integer__ @t1)) % 20.14/20.39 (define @t3 () (@var "X" tptp.general)) % 20.14/20.39 (define @t4 () (@list @t1)) % 20.14/20.39 (define @t5 () (tptp.p__is_integer__ @t3)) % 20.14/20.39 (define @t6 () (@list @t3)) % 20.14/20.39 (define @t7 () (@var "X2" tptp.symbol)) % 20.14/20.39 (define @t8 () (@var "X1" tptp.general)) % 20.14/20.39 (define @t9 () (@var "N2" Int)) % 20.14/20.39 (define @t10 () (@var "N1" Int)) % 20.14/20.39 (define @t11 () (tptp.f__integer__ @t9)) % 20.14/20.39 (define @t12 () (tptp.f__integer__ @t10)) % 20.14/20.39 (define @t13 () (@list @t10 @t9)) % 20.14/20.39 (define @t14 () (@var "S2" tptp.symbol)) % 20.14/20.39 (define @t15 () (@var "S1" tptp.symbol)) % 20.14/20.39 (define @t16 () (@var "X2" tptp.general)) % 20.14/20.39 (define @t17 () (= @t8 @t16)) % 20.14/20.39 (define @t18 () (tptp.p__less_equal__ @t16 @t8)) % 20.14/20.39 (define @t19 () (tptp.p__less_equal__ @t8 @t16)) % 20.14/20.39 (define @t20 () (@list @t8 @t16)) % 20.14/20.39 (define @t21 () (@var "X3" tptp.general)) % 20.14/20.39 (define @t22 () (not @t17)) % 20.14/20.39 (define @t23 () (@var "S" tptp.symbol)) % 20.14/20.39 (define @t24 () (tptp.f__symbolic__ @t23)) % 20.14/20.39 (define @t25 () (@var "X2_g" tptp.general)) % 20.14/20.39 (define @t26 () (@var "X1_g" tptp.general)) % 20.14/20.39 (define @t27 () (@list @t26 @t25)) % 20.14/20.39 (define @t28 () (@var "V2_g" tptp.general)) % 20.14/20.39 (define @t29 () (@var "V1_g" tptp.general)) % 20.14/20.39 (define @t30 () (tptp.tq @t29 @t28)) % 20.14/20.39 (define @t31 () (@var "Z1_g" tptp.general)) % 20.14/20.39 (define @t32 () (@var "Z_g" tptp.general)) % 20.14/20.39 (define @t33 () (tptp.tp @t32 @t31)) % 20.14/20.39 (define @t34 () (@var "J_i" Int)) % 20.14/20.39 (define @t35 () (= @t34 1)) % 20.14/20.39 (define @t36 () (@var "Y_g" tptp.general)) % 20.14/20.39 (define @t37 () (@var "I_i" Int)) % 20.14/20.39 (define @t38 () (tptp.f__integer__ @t37)) % 20.14/20.39 (define @t39 () (= @t38 @t36)) % 20.14/20.39 (define @t40 () (- @t37 @t34)) % 20.14/20.39 (define @t41 () (tptp.f__integer__ @t40)) % 20.14/20.39 (define @t42 () (= @t31 @t41)) % 20.14/20.39 (define @t43 () (and @t42 @t39 @t35)) % 20.14/20.39 (define @t44 () (@list @t37 @t34)) % 20.14/20.39 (define @t45 () (exists @t44 @t43)) % 20.14/20.39 (define @t46 () (@var "X_g" tptp.general)) % 20.14/20.39 (define @t47 () (= @t32 @t46)) % 20.14/20.39 (define @t48 () (and @t47 @t45 @t33)) % 20.14/20.39 (define @t49 () (@list @t32 @t31)) % 20.14/20.39 (define @t50 () (exists @t49 @t48)) % 20.14/20.39 (define @t51 () (= @t28 @t36)) % 20.14/20.39 (define @t52 () (= @t29 @t46)) % 20.14/20.39 (define @t53 () (and @t52 @t51 @t50)) % 20.14/20.39 (define @t54 () (=> @t53 @t30)) % 20.14/20.39 (define @t55 () (tptp.hq @t29 @t28)) % 20.14/20.39 (define @t56 () (tptp.hp @t32 @t31)) % 20.14/20.39 (define @t57 () (and @t47 @t45 @t56)) % 20.14/20.39 (define @t58 () (exists @t49 @t57)) % 20.14/20.39 (define @t59 () (and @t52 @t51 @t58)) % 20.14/20.39 (define @t60 () (=> @t59 @t55)) % 20.14/20.39 (define @t61 () (and @t60 @t54)) % 20.14/20.39 (define @t62 () (@list @t29 @t28 @t46 @t36)) % 20.14/20.39 (define @t63 () (forall @t62 @t61)) % 20.14/20.39 (define @t64 () (= @t31 @t36)) % 20.14/20.39 (define @t65 () (and @t47 @t64 @t33)) % 20.14/20.39 (define @t66 () (exists @t49 @t65)) % 20.14/20.39 (define @t67 () (= @t28 (tptp.f__integer__ (+ @t37 @t34)))) % 20.14/20.39 (define @t68 () (and @t67 @t39 @t35)) % 20.14/20.39 (define @t69 () (exists @t44 @t68)) % 20.14/20.39 (define @t70 () (and @t52 @t69 @t66)) % 20.14/20.39 (define @t71 () (=> @t70 @t30)) % 20.14/20.39 (define @t72 () (and @t47 @t64 @t56)) % 20.14/20.39 (define @t73 () (exists @t49 @t72)) % 20.14/20.39 (define @t74 () (and @t52 @t69 @t73)) % 20.14/20.39 (define @t75 () (=> @t74 @t55)) % 20.14/20.39 (define @t76 () (and @t75 @t71)) % 20.14/20.39 (define @t77 () (forall @t62 @t76)) % 20.14/20.39 (define @t78 () (not @t77)) % 20.14/20.39 (define @t79 () (@var "BOUND_VARIABLE_7865" Int)) % 20.14/20.39 (define @t80 () (@var "BOUND_VARIABLE_7789" tptp.general)) % 20.14/20.39 (define @t81 () (not (tptp.tp @t80 (tptp.f__integer__ (+ -1 @t79))))) % 20.14/20.39 (define @t82 () (tptp.f__integer__ @t79)) % 20.14/20.39 (define @t83 () (tptp.tq @t80 @t82)) % 20.14/20.39 (define @t84 () (or @t83 @t81)) % 20.14/20.39 (define @t85 () (not (= @t82 @t82))) % 20.14/20.39 (define @t86 () (or @t83 @t81 @t85)) % 20.14/20.39 (define @t87 () (@list @t80 @t79)) % 20.14/20.39 (define @t88 () (@var "BOUND_VARIABLE_7791" tptp.general)) % 20.14/20.39 (define @t89 () (not (= @t88 @t82))) % 20.14/20.39 (define @t90 () (tptp.tq @t80 @t88)) % 20.14/20.39 (define @t91 () (or @t89 @t90 @t81 @t89)) % 20.14/20.39 (define @t92 () (@list @t88)) % 20.14/20.39 (define @t93 () (or @t90 @t81 @t89)) % 20.14/20.39 (define @t94 () (forall @t92 @t93)) % 20.14/20.39 (define @t95 () (forall @t87 @t94)) % 20.14/20.39 (define @t96 () (forall (@list @t80 @t79 @t88) @t93)) % 20.14/20.39 (define @t97 () (@list @t80 @t88 @t79)) % 20.14/20.39 (define @t98 () (not (= @t88 @t88))) % 20.14/20.39 (define @t99 () (or @t98 @t90 @t81 @t89)) % 20.14/20.39 (define @t100 () (@var "BOUND_VARIABLE_7787" tptp.general)) % 20.14/20.39 (define @t101 () (tptp.tq @t80 @t100)) % 20.14/20.39 (define @t102 () (not (= @t100 @t88))) % 20.14/20.39 (define @t103 () (or @t102 @t102 @t101 @t81 @t89)) % 20.14/20.39 (define @t104 () (@list @t100)) % 20.14/20.39 (define @t105 () (or @t102 @t101 @t81 @t89)) % 20.14/20.39 (define @t106 () (forall @t104 @t105)) % 20.14/20.39 (define @t107 () (forall @t97 @t106)) % 20.14/20.39 (define @t108 () (forall (@list @t80 @t88 @t79 @t100) @t105)) % 20.14/20.39 (define @t109 () (@list @t100 @t80 @t88 @t79)) % 20.14/20.39 (define @t110 () (not (= @t80 @t80))) % 20.14/20.39 (define @t111 () (or @t110 @t102 @t101 @t81 @t89)) % 20.14/20.39 (define @t112 () (@var "BOUND_VARIABLE_7785" tptp.general)) % 20.14/20.39 (define @t113 () (tptp.tq @t112 @t100)) % 20.14/20.39 (define @t114 () (not (= @t112 @t80))) % 20.14/20.39 (define @t115 () (or @t114 @t114 @t102 @t113 @t81 @t89)) % 20.14/20.39 (define @t116 () (@list @t112)) % 20.14/20.39 (define @t117 () (or @t114 @t102 @t113 @t81 @t89)) % 20.14/20.39 (define @t118 () (forall @t116 @t117)) % 20.14/20.39 (define @t119 () (forall @t109 @t118)) % 20.14/20.39 (define @t120 () (forall (@list @t100 @t80 @t88 @t79 @t112) @t117)) % 20.14/20.39 (define @t121 () (@list @t112 @t100 @t80 @t88 @t79)) % 20.14/20.39 (define @t122 () (not (= @t82 @t88))) % 20.14/20.39 (define @t123 () (or @t114 @t102 @t113 @t81 @t122)) % 20.14/20.39 (define @t124 () (or @t81 @t122)) % 20.14/20.39 (define @t125 () (or @t114 @t102 @t124 @t113)) % 20.14/20.39 (define @t126 () (forall @t121 @t125)) % 20.14/20.39 (define @t127 () (@list @t79)) % 20.14/20.39 (define @t128 () (forall @t127 @t125)) % 20.14/20.39 (define @t129 () (@list @t112 @t100 @t80 @t88)) % 20.14/20.39 (define @t130 () (forall @t127 @t124)) % 20.14/20.39 (define @t131 () (@var "BOUND_VARIABLE_7715" Int)) % 20.14/20.39 (define @t132 () (@list @t131)) % 20.14/20.39 (define @t133 () (or @t114 @t102 @t130 @t113)) % 20.14/20.39 (define @t134 () (tptp.f__integer__ @t131)) % 20.14/20.39 (define @t135 () (tptp.f__integer__ (+ -1 @t131))) % 20.14/20.39 (define @t136 () (not (tptp.tp @t80 @t135))) % 20.14/20.39 (define @t137 () (@list @t131)) % 20.14/20.39 (define @t138 () (not (= @t88 @t134))) % 20.14/20.39 (define @t139 () (or @t136 @t138)) % 20.14/20.39 (define @t140 () (forall @t137 @t139)) % 20.14/20.39 (define @t141 () (or @t114 @t102 @t140 @t113)) % 20.14/20.39 (define @t142 () (forall @t129 @t141)) % 20.14/20.39 (define @t143 () (@var "BOUND_VARIABLE_7814" Int)) % 20.14/20.39 (define @t144 () (@var "BOUND_VARIABLE_7767" tptp.general)) % 20.14/20.39 (define @t145 () (not (tptp.hp @t144 (tptp.f__integer__ (+ -1 @t143))))) % 20.14/20.39 (define @t146 () (tptp.f__integer__ @t143)) % 20.14/20.39 (define @t147 () (tptp.hq @t144 @t146)) % 20.14/20.39 (define @t148 () (or @t147 @t145)) % 20.14/20.39 (define @t149 () (not (= @t146 @t146))) % 20.14/20.39 (define @t150 () (or @t147 @t145 @t149)) % 20.14/20.39 (define @t151 () (@list @t144 @t143)) % 20.14/20.39 (define @t152 () (@var "BOUND_VARIABLE_7769" tptp.general)) % 20.14/20.39 (define @t153 () (not (= @t152 @t146))) % 20.14/20.39 (define @t154 () (tptp.hq @t144 @t152)) % 20.14/20.39 (define @t155 () (or @t153 @t154 @t145 @t153)) % 20.14/20.39 (define @t156 () (@list @t152)) % 20.14/20.39 (define @t157 () (or @t154 @t145 @t153)) % 20.14/20.39 (define @t158 () (forall @t156 @t157)) % 20.14/20.39 (define @t159 () (forall @t151 @t158)) % 20.14/20.39 (define @t160 () (forall (@list @t144 @t143 @t152) @t157)) % 20.14/20.39 (define @t161 () (@list @t144 @t152 @t143)) % 20.14/20.39 (define @t162 () (not (= @t152 @t152))) % 20.14/20.39 (define @t163 () (or @t162 @t154 @t145 @t153)) % 20.14/20.39 (define @t164 () (@var "BOUND_VARIABLE_7765" tptp.general)) % 20.14/20.39 (define @t165 () (tptp.hq @t144 @t164)) % 20.14/20.39 (define @t166 () (not (= @t164 @t152))) % 20.14/20.39 (define @t167 () (or @t166 @t166 @t165 @t145 @t153)) % 20.14/20.39 (define @t168 () (@list @t164)) % 20.14/20.39 (define @t169 () (or @t166 @t165 @t145 @t153)) % 20.14/20.39 (define @t170 () (forall @t168 @t169)) % 20.14/20.39 (define @t171 () (forall @t161 @t170)) % 20.14/20.39 (define @t172 () (forall (@list @t144 @t152 @t143 @t164) @t169)) % 20.14/20.39 (define @t173 () (@list @t164 @t144 @t152 @t143)) % 20.14/20.39 (define @t174 () (not (= @t144 @t144))) % 20.14/20.39 (define @t175 () (or @t174 @t166 @t165 @t145 @t153)) % 20.14/20.39 (define @t176 () (@var "BOUND_VARIABLE_7763" tptp.general)) % 20.14/20.39 (define @t177 () (tptp.hq @t176 @t164)) % 20.14/20.39 (define @t178 () (not (= @t176 @t144))) % 20.14/20.39 (define @t179 () (or @t178 @t178 @t166 @t177 @t145 @t153)) % 20.14/20.39 (define @t180 () (@list @t176)) % 20.14/20.39 (define @t181 () (or @t178 @t166 @t177 @t145 @t153)) % 20.14/20.39 (define @t182 () (forall @t180 @t181)) % 20.14/20.39 (define @t183 () (forall @t173 @t182)) % 20.14/20.39 (define @t184 () (forall (@list @t164 @t144 @t152 @t143 @t176) @t181)) % 20.14/20.39 (define @t185 () (@list @t176 @t164 @t144 @t152 @t143)) % 20.14/20.39 (define @t186 () (not (= @t146 @t152))) % 20.14/20.39 (define @t187 () (or @t178 @t166 @t177 @t145 @t186)) % 20.14/20.39 (define @t188 () (or @t145 @t186)) % 20.14/20.39 (define @t189 () (or @t178 @t166 @t188 @t177)) % 20.14/20.39 (define @t190 () (forall @t185 @t189)) % 20.14/20.39 (define @t191 () (@list @t143)) % 20.14/20.39 (define @t192 () (forall @t191 @t189)) % 20.14/20.39 (define @t193 () (@list @t176 @t164 @t144 @t152)) % 20.14/20.39 (define @t194 () (forall @t191 @t188)) % 20.14/20.39 (define @t195 () (@var "BOUND_VARIABLE_7669" Int)) % 20.14/20.39 (define @t196 () (@list @t195)) % 20.14/20.39 (define @t197 () (or @t178 @t166 @t194 @t177)) % 20.14/20.39 (define @t198 () (tptp.f__integer__ @t195)) % 20.14/20.39 (define @t199 () (tptp.f__integer__ (+ -1 @t195))) % 20.14/20.39 (define @t200 () (not (tptp.hp @t144 @t199))) % 20.14/20.39 (define @t201 () (@list @t195)) % 20.14/20.39 (define @t202 () (not (= @t152 @t198))) % 20.14/20.39 (define @t203 () (or @t200 @t202)) % 20.14/20.39 (define @t204 () (forall @t201 @t203)) % 20.14/20.39 (define @t205 () (or @t178 @t166 @t204 @t177)) % 20.14/20.39 (define @t206 () (forall @t193 @t205)) % 20.14/20.39 (define @t207 () (not (= @t36 @t134))) % 20.14/20.39 (define @t208 () (not (tptp.tp @t46 @t135))) % 20.14/20.39 (define @t209 () (or @t208 @t207)) % 20.14/20.39 (define @t210 () (forall @t137 @t209)) % 20.14/20.39 (define @t211 () (not @t51)) % 20.14/20.39 (define @t212 () (not @t52)) % 20.14/20.39 (define @t213 () (or @t212 @t211 @t210 @t30)) % 20.14/20.39 (define @t214 () (forall @t62 @t213)) % 20.14/20.39 (define @t215 () (@list @t29 @t28 @t46 @t36)) % 20.14/20.39 (define @t216 () (not (= @t36 @t198))) % 20.14/20.39 (define @t217 () (not (tptp.hp @t46 @t199))) % 20.14/20.39 (define @t218 () (or @t217 @t216)) % 20.14/20.39 (define @t219 () (forall @t201 @t218)) % 20.14/20.39 (define @t220 () (or @t212 @t211 @t219 @t55)) % 20.14/20.39 (define @t221 () (forall @t62 @t220)) % 20.14/20.39 (define @t222 () (and @t221 @t214)) % 20.14/20.39 (define @t223 () (not @t210)) % 20.14/20.39 (define @t224 () (not @t223)) % 20.14/20.39 (define @t225 () (or @t212 @t211 @t224)) % 20.14/20.39 (define @t226 () (and @t52 @t51 @t223)) % 20.14/20.39 (define @t227 () (not @t219)) % 20.14/20.39 (define @t228 () (not @t227)) % 20.14/20.39 (define @t229 () (or @t212 @t211 @t228)) % 20.14/20.39 (define @t230 () (and @t52 @t51 @t227)) % 20.14/20.39 (define @t231 () (and (=> @t230 @t55) (=> @t226 @t30))) % 20.14/20.39 (define @t232 () (not (= @t135 @t135))) % 20.14/20.39 (define @t233 () (or @t208 @t232 @t207)) % 20.14/20.39 (define @t234 () (not (= @t31 @t135))) % 20.14/20.39 (define @t235 () (not (tptp.tp @t46 @t31))) % 20.14/20.39 (define @t236 () (or @t234 @t235 @t234 @t207)) % 20.14/20.39 (define @t237 () (@list @t31)) % 20.14/20.39 (define @t238 () (or @t235 @t234 @t207)) % 20.14/20.39 (define @t239 () (forall @t237 @t238)) % 20.14/20.39 (define @t240 () (forall @t137 @t239)) % 20.14/20.39 (define @t241 () (forall (@list @t131 @t31) @t238)) % 20.14/20.39 (define @t242 () (@list @t31 @t131)) % 20.14/20.39 (define @t243 () (not (= @t46 @t46))) % 20.14/20.39 (define @t244 () (or @t243 @t235 @t234 @t207)) % 20.14/20.39 (define @t245 () (not @t33)) % 20.14/20.39 (define @t246 () (= @t46 @t32)) % 20.14/20.39 (define @t247 () (not @t246)) % 20.14/20.39 (define @t248 () (not @t47)) % 20.14/20.39 (define @t249 () (@list @t32)) % 20.14/20.39 (define @t250 () (or @t247 @t247 @t245 @t234 @t207)) % 20.14/20.39 (define @t251 () (or @t247 @t245 @t234 @t207)) % 20.14/20.39 (define @t252 () (forall @t249 @t251)) % 20.14/20.39 (define @t253 () (forall @t242 @t252)) % 20.14/20.39 (define @t254 () (forall (@list @t31 @t131 @t32) @t251)) % 20.14/20.39 (define @t255 () (@list @t32 @t31 @t131)) % 20.14/20.39 (define @t256 () (or @t234 @t207)) % 20.14/20.39 (define @t257 () (or @t247 @t256 @t245)) % 20.14/20.39 (define @t258 () (forall @t255 @t257)) % 20.14/20.39 (define @t259 () (forall @t137 @t257)) % 20.14/20.39 (define @t260 () (forall @t137 @t256)) % 20.14/20.39 (define @t261 () (@list @t37)) % 20.14/20.39 (define @t262 () (or @t247 @t260 @t245)) % 20.14/20.39 (define @t263 () (= @t36 @t38)) % 20.14/20.39 (define @t264 () (not @t263)) % 20.14/20.39 (define @t265 () (+ -1 @t37)) % 20.14/20.39 (define @t266 () (not (= @t31 (tptp.f__integer__ @t265)))) % 20.14/20.39 (define @t267 () (or @t266 @t264)) % 20.14/20.39 (define @t268 () (@list @t37)) % 20.14/20.39 (define @t269 () (forall @t268 @t267)) % 20.14/20.39 (define @t270 () (not @t269)) % 20.14/20.39 (define @t271 () (not @t270)) % 20.14/20.39 (define @t272 () (or @t247 @t271 @t245)) % 20.14/20.39 (define @t273 () (and @t246 @t270 @t33)) % 20.14/20.39 (define @t274 () (forall @t49 (not @t273))) % 20.14/20.39 (define @t275 () (not @t274)) % 20.14/20.39 (define @t276 () (= 1 1)) % 20.14/20.39 (define @t277 () (not @t276)) % 20.14/20.39 (define @t278 () (* -1 1)) % 20.14/20.39 (define @t279 () (+ @t37 @t278)) % 20.14/20.39 (define @t280 () (tptp.f__integer__ @t279)) % 20.14/20.39 (define @t281 () (= @t31 @t280)) % 20.14/20.39 (define @t282 () (not @t281)) % 20.14/20.39 (define @t283 () (or @t282 @t264 @t277)) % 20.14/20.39 (define @t284 () (not @t35)) % 20.14/20.39 (define @t285 () (+ @t37 (* -1 @t34))) % 20.14/20.39 (define @t286 () (= @t31 (tptp.f__integer__ @t285))) % 20.14/20.39 (define @t287 () (not @t286)) % 20.14/20.39 (define @t288 () (or @t284 @t287 @t264 @t284)) % 20.14/20.39 (define @t289 () (@list @t34)) % 20.14/20.39 (define @t290 () (or @t287 @t264 @t284)) % 20.14/20.39 (define @t291 () (forall @t289 @t290)) % 20.14/20.39 (define @t292 () (forall @t268 @t291)) % 20.14/20.39 (define @t293 () (or @t264 @t284)) % 20.14/20.39 (define @t294 () (not (and @t263 @t35))) % 20.14/20.39 (define @t295 () (and @t286 @t263 @t35)) % 20.14/20.39 (define @t296 () (forall @t44 (not @t295))) % 20.14/20.39 (define @t297 () (not @t296)) % 20.14/20.39 (define @t298 () (not (= @t199 @t199))) % 20.14/20.39 (define @t299 () (or @t217 @t298 @t216)) % 20.14/20.39 (define @t300 () (not (= @t31 @t199))) % 20.14/20.39 (define @t301 () (not (tptp.hp @t46 @t31))) % 20.14/20.39 (define @t302 () (or @t300 @t301 @t300 @t216)) % 20.14/20.39 (define @t303 () (or @t301 @t300 @t216)) % 20.14/20.39 (define @t304 () (forall @t237 @t303)) % 20.14/20.39 (define @t305 () (forall @t201 @t304)) % 20.14/20.39 (define @t306 () (forall (@list @t195 @t31) @t303)) % 20.14/20.39 (define @t307 () (@list @t31 @t195)) % 20.14/20.39 (define @t308 () (or @t243 @t301 @t300 @t216)) % 20.14/20.39 (define @t309 () (not @t56)) % 20.14/20.39 (define @t310 () (or @t247 @t247 @t309 @t300 @t216)) % 20.14/20.39 (define @t311 () (or @t247 @t309 @t300 @t216)) % 20.14/20.39 (define @t312 () (forall @t249 @t311)) % 20.14/20.39 (define @t313 () (forall @t307 @t312)) % 20.14/20.39 (define @t314 () (forall (@list @t31 @t195 @t32) @t311)) % 20.14/20.39 (define @t315 () (@list @t32 @t31 @t195)) % 20.14/20.39 (define @t316 () (or @t300 @t216)) % 20.14/20.39 (define @t317 () (or @t247 @t316 @t309)) % 20.14/20.39 (define @t318 () (forall @t315 @t317)) % 20.14/20.39 (define @t319 () (forall @t201 @t317)) % 20.14/20.39 (define @t320 () (forall @t201 @t316)) % 20.14/20.39 (define @t321 () (or @t247 @t320 @t309)) % 20.14/20.39 (define @t322 () (or @t247 @t271 @t309)) % 20.14/20.39 (define @t323 () (and @t246 @t270 @t56)) % 20.14/20.39 (define @t324 () (forall @t49 (not @t323))) % 20.14/20.39 (define @t325 () (not @t324)) % 20.14/20.39 (define @t326 () (@var "BOUND_VARIABLE_8040" Int)) % 20.14/20.39 (define @t327 () (tptp.f__integer__ (+ 1 @t326))) % 20.14/20.39 (define @t328 () (@var "BOUND_VARIABLE_7991" tptp.general)) % 20.14/20.39 (define @t329 () (tptp.hq @t328 @t327)) % 20.14/20.39 (define @t330 () (tptp.f__integer__ @t326)) % 20.14/20.39 (define @t331 () (not (tptp.hp @t328 @t330))) % 20.14/20.39 (define @t332 () (or @t331 @t329)) % 20.14/20.39 (define @t333 () (@list @t328 @t326)) % 20.14/20.39 (define @t334 () (forall @t333 @t332)) % 20.14/20.39 (define @t335 () (@quantifiers_skolemize @t334 1)) % 20.14/20.39 (define @t336 () (@quantifiers_skolemize @t334 0)) % 20.14/20.39 (define @t337 () (tptp.hp @t336 (tptp.f__integer__ @t335))) % 20.14/20.39 (define @t338 () (+ 1 @t335)) % 20.14/20.39 (define @t339 () (tptp.hq @t336 (tptp.f__integer__ @t338))) % 20.14/20.39 (define @t340 () (not @t337)) % 20.14/20.39 (define @t341 () (or @t340 @t339)) % 20.14/20.39 (define @t342 () (+ -1 @t338)) % 20.14/20.39 (define @t343 () (tptp.f__integer__ @t342)) % 20.14/20.39 (define @t344 () (tptp.hp @t336 @t343)) % 20.14/20.39 (define @t345 () (not @t344)) % 20.14/20.39 (define @t346 () (or @t339 @t345)) % 20.14/20.39 (define @t347 () (forall @t151 @t148)) % 20.14/20.39 (define @t348 () (or @t339 @t340)) % 20.14/20.39 (define @t349 () (@list false)) % 20.14/20.39 (define @t350 () (not @t341)) % 20.14/20.39 (define @t351 () (not @t334)) % 20.14/20.39 (define @t352 () (@var "BOUND_VARIABLE_8096" Int)) % 20.14/20.39 (define @t353 () (tptp.f__integer__ (+ 1 @t352))) % 20.14/20.39 (define @t354 () (@var "BOUND_VARIABLE_8013" tptp.general)) % 20.14/20.39 (define @t355 () (tptp.tq @t354 @t353)) % 20.14/20.39 (define @t356 () (tptp.f__integer__ @t352)) % 20.14/20.39 (define @t357 () (not (tptp.tp @t354 @t356))) % 20.14/20.39 (define @t358 () (or @t357 @t355)) % 20.14/20.39 (define @t359 () (not (= @t356 @t356))) % 20.14/20.39 (define @t360 () (or @t357 @t355 @t359)) % 20.14/20.39 (define @t361 () (@list @t354 @t352)) % 20.14/20.39 (define @t362 () (@var "BOUND_VARIABLE_8015" tptp.general)) % 20.14/20.39 (define @t363 () (not (= @t362 @t356))) % 20.14/20.39 (define @t364 () (not (tptp.tp @t354 @t362))) % 20.14/20.39 (define @t365 () (or @t363 @t364 @t355 @t363)) % 20.14/20.39 (define @t366 () (@list @t362)) % 20.14/20.39 (define @t367 () (or @t364 @t355 @t363)) % 20.14/20.39 (define @t368 () (forall @t366 @t367)) % 20.14/20.39 (define @t369 () (forall @t361 @t368)) % 20.14/20.39 (define @t370 () (forall (@list @t354 @t352 @t362) @t367)) % 20.14/20.39 (define @t371 () (@list @t354 @t362 @t352)) % 20.14/20.39 (define @t372 () (not (= @t353 @t353))) % 20.14/20.39 (define @t373 () (or @t364 @t355 @t372 @t363)) % 20.14/20.39 (define @t374 () (@var "BOUND_VARIABLE_8011" tptp.general)) % 20.14/20.39 (define @t375 () (not (= @t374 @t353))) % 20.14/20.39 (define @t376 () (tptp.tq @t354 @t374)) % 20.14/20.39 (define @t377 () (or @t375 @t364 @t376 @t375 @t363)) % 20.14/20.39 (define @t378 () (@list @t374)) % 20.14/20.39 (define @t379 () (or @t364 @t376 @t375 @t363)) % 20.14/20.39 (define @t380 () (forall @t378 @t379)) % 20.14/20.39 (define @t381 () (forall @t371 @t380)) % 20.14/20.39 (define @t382 () (forall (@list @t354 @t362 @t352 @t374) @t379)) % 20.14/20.39 (define @t383 () (@list @t374 @t354 @t362 @t352)) % 20.14/20.39 (define @t384 () (not (= @t354 @t354))) % 20.14/20.39 (define @t385 () (or @t384 @t364 @t376 @t375 @t363)) % 20.14/20.39 (define @t386 () (@var "BOUND_VARIABLE_8009" tptp.general)) % 20.14/20.39 (define @t387 () (tptp.tq @t386 @t374)) % 20.14/20.39 (define @t388 () (not (= @t386 @t354))) % 20.14/20.39 (define @t389 () (or @t388 @t388 @t364 @t387 @t375 @t363)) % 20.14/20.39 (define @t390 () (@list @t386)) % 20.14/20.39 (define @t391 () (or @t388 @t364 @t387 @t375 @t363)) % 20.14/20.39 (define @t392 () (forall @t390 @t391)) % 20.14/20.39 (define @t393 () (forall @t383 @t392)) % 20.14/20.39 (define @t394 () (forall (@list @t374 @t354 @t362 @t352 @t386) @t391)) % 20.14/20.39 (define @t395 () (@list @t386 @t374 @t354 @t362 @t352)) % 20.14/20.39 (define @t396 () (not (= @t356 @t362))) % 20.14/20.39 (define @t397 () (not (= @t353 @t374))) % 20.14/20.39 (define @t398 () (or @t388 @t364 @t387 @t397 @t396)) % 20.14/20.39 (define @t399 () (or @t397 @t396)) % 20.14/20.39 (define @t400 () (or @t388 @t399 @t364 @t387)) % 20.14/20.39 (define @t401 () (forall @t395 @t400)) % 20.14/20.39 (define @t402 () (@list @t352)) % 20.14/20.39 (define @t403 () (forall @t402 @t400)) % 20.14/20.39 (define @t404 () (@list @t386 @t374 @t354 @t362)) % 20.14/20.39 (define @t405 () (forall @t402 @t399)) % 20.14/20.39 (define @t406 () (or @t388 @t405 @t364 @t387)) % 20.14/20.39 (define @t407 () (+ 1 @t37)) % 20.14/20.39 (define @t408 () (tptp.f__integer__ @t407)) % 20.14/20.39 (define @t409 () (not (= @t362 @t38))) % 20.14/20.39 (define @t410 () (not (= @t374 @t408))) % 20.14/20.39 (define @t411 () (or @t410 @t409)) % 20.14/20.39 (define @t412 () (forall @t268 @t411)) % 20.14/20.39 (define @t413 () (or @t388 @t412 @t364 @t387)) % 20.14/20.39 (define @t414 () (forall @t404 @t413)) % 20.14/20.39 (define @t415 () (not (= @t330 @t330))) % 20.14/20.39 (define @t416 () (or @t331 @t329 @t415)) % 20.14/20.39 (define @t417 () (@var "BOUND_VARIABLE_7993" tptp.general)) % 20.14/20.39 (define @t418 () (not (= @t417 @t330))) % 20.14/20.39 (define @t419 () (not (tptp.hp @t328 @t417))) % 20.14/20.39 (define @t420 () (or @t418 @t419 @t329 @t418)) % 20.14/20.39 (define @t421 () (@list @t417)) % 20.14/20.39 (define @t422 () (or @t419 @t329 @t418)) % 20.14/20.39 (define @t423 () (forall @t421 @t422)) % 20.14/20.39 (define @t424 () (forall @t333 @t423)) % 20.14/20.39 (define @t425 () (forall (@list @t328 @t326 @t417) @t422)) % 20.14/20.39 (define @t426 () (@list @t328 @t417 @t326)) % 20.14/20.39 (define @t427 () (not (= @t327 @t327))) % 20.14/20.39 (define @t428 () (or @t419 @t329 @t427 @t418)) % 20.14/20.39 (define @t429 () (@var "BOUND_VARIABLE_7989" tptp.general)) % 20.14/20.39 (define @t430 () (not (= @t429 @t327))) % 20.14/20.39 (define @t431 () (tptp.hq @t328 @t429)) % 20.14/20.39 (define @t432 () (or @t430 @t419 @t431 @t430 @t418)) % 20.14/20.39 (define @t433 () (@list @t429)) % 20.14/20.39 (define @t434 () (or @t419 @t431 @t430 @t418)) % 20.14/20.39 (define @t435 () (forall @t433 @t434)) % 20.14/20.39 (define @t436 () (forall @t426 @t435)) % 20.14/20.39 (define @t437 () (forall (@list @t328 @t417 @t326 @t429) @t434)) % 20.14/20.39 (define @t438 () (@list @t429 @t328 @t417 @t326)) % 20.14/20.39 (define @t439 () (not (= @t328 @t328))) % 20.14/20.39 (define @t440 () (or @t439 @t419 @t431 @t430 @t418)) % 20.14/20.39 (define @t441 () (@var "BOUND_VARIABLE_7987" tptp.general)) % 20.14/20.39 (define @t442 () (tptp.hq @t441 @t429)) % 20.14/20.39 (define @t443 () (not (= @t441 @t328))) % 20.14/20.39 (define @t444 () (or @t443 @t443 @t419 @t442 @t430 @t418)) % 20.14/20.39 (define @t445 () (@list @t441)) % 20.14/20.39 (define @t446 () (or @t443 @t419 @t442 @t430 @t418)) % 20.14/20.39 (define @t447 () (forall @t445 @t446)) % 20.14/20.39 (define @t448 () (forall @t438 @t447)) % 20.14/20.39 (define @t449 () (forall (@list @t429 @t328 @t417 @t326 @t441) @t446)) % 20.14/20.39 (define @t450 () (@list @t441 @t429 @t328 @t417 @t326)) % 20.14/20.39 (define @t451 () (not (= @t330 @t417))) % 20.14/20.39 (define @t452 () (not (= @t327 @t429))) % 20.14/20.39 (define @t453 () (or @t443 @t419 @t442 @t452 @t451)) % 20.14/20.39 (define @t454 () (or @t452 @t451)) % 20.14/20.39 (define @t455 () (or @t443 @t454 @t419 @t442)) % 20.14/20.39 (define @t456 () (forall @t450 @t455)) % 20.14/20.39 (define @t457 () (@list @t326)) % 20.14/20.39 (define @t458 () (forall @t457 @t455)) % 20.14/20.39 (define @t459 () (@list @t441 @t429 @t328 @t417)) % 20.14/20.39 (define @t460 () (forall @t457 @t454)) % 20.14/20.39 (define @t461 () (or @t443 @t460 @t419 @t442)) % 20.14/20.39 (define @t462 () (not (= @t417 @t38))) % 20.14/20.39 (define @t463 () (not (= @t429 @t408))) % 20.14/20.39 (define @t464 () (or @t463 @t462)) % 20.14/20.39 (define @t465 () (forall @t268 @t464)) % 20.14/20.39 (define @t466 () (or @t443 @t465 @t419 @t442)) % 20.14/20.39 (define @t467 () (forall @t459 @t466)) % 20.14/20.39 (define @t468 () (tptp.tp @t46 @t36)) % 20.14/20.39 (define @t469 () (not @t468)) % 20.14/20.39 (define @t470 () (not (= @t28 @t408))) % 20.14/20.39 (define @t471 () (or @t470 @t264)) % 20.14/20.39 (define @t472 () (forall @t268 @t471)) % 20.14/20.39 (define @t473 () (or @t212 @t472 @t469 @t30)) % 20.14/20.39 (define @t474 () (forall @t62 @t473)) % 20.14/20.39 (define @t475 () (tptp.hp @t46 @t36)) % 20.14/20.39 (define @t476 () (not @t475)) % 20.14/20.39 (define @t477 () (or @t212 @t472 @t476 @t55)) % 20.14/20.39 (define @t478 () (forall @t62 @t477)) % 20.14/20.39 (define @t479 () (and @t478 @t474)) % 20.14/20.39 (define @t480 () (not @t472)) % 20.14/20.39 (define @t481 () (not @t480)) % 20.14/20.39 (define @t482 () (or @t212 @t481 @t469)) % 20.14/20.39 (define @t483 () (and @t52 @t480 @t468)) % 20.14/20.39 (define @t484 () (or @t212 @t481 @t476)) % 20.14/20.39 (define @t485 () (and @t52 @t480 @t475)) % 20.14/20.39 (define @t486 () (and (=> @t485 @t55) (=> @t483 @t30))) % 20.14/20.39 (define @t487 () (not (= @t36 @t36))) % 20.14/20.39 (define @t488 () (or @t487 @t469)) % 20.14/20.39 (define @t489 () (= @t36 @t31)) % 20.14/20.39 (define @t490 () (not @t489)) % 20.14/20.39 (define @t491 () (not @t64)) % 20.14/20.39 (define @t492 () (or @t490 @t490 @t235)) % 20.14/20.39 (define @t493 () (or @t490 @t235)) % 20.14/20.39 (define @t494 () (or @t243 @t490 @t235)) % 20.14/20.39 (define @t495 () (or @t247 @t247 @t490 @t245)) % 20.14/20.39 (define @t496 () (or @t247 @t490 @t245)) % 20.14/20.39 (define @t497 () (forall @t249 @t496)) % 20.14/20.39 (define @t498 () (forall @t237 @t497)) % 20.14/20.39 (define @t499 () (@list @t31 @t32)) % 20.14/20.39 (define @t500 () (forall @t499 @t496)) % 20.14/20.39 (define @t501 () (and @t246 @t489 @t33)) % 20.14/20.39 (define @t502 () (forall @t49 (not @t501))) % 20.14/20.39 (define @t503 () (not @t502)) % 20.14/20.39 (define @t504 () (+ @t37 1)) % 20.14/20.39 (define @t505 () (tptp.f__integer__ @t504)) % 20.14/20.39 (define @t506 () (= @t28 @t505)) % 20.14/20.39 (define @t507 () (not @t506)) % 20.14/20.39 (define @t508 () (or @t507 @t264 @t277)) % 20.14/20.39 (define @t509 () (not @t67)) % 20.14/20.39 (define @t510 () (or @t284 @t509 @t264 @t284)) % 20.14/20.39 (define @t511 () (or @t509 @t264 @t284)) % 20.14/20.39 (define @t512 () (forall @t289 @t511)) % 20.14/20.39 (define @t513 () (forall @t268 @t512)) % 20.14/20.39 (define @t514 () (and @t67 @t263 @t35)) % 20.14/20.39 (define @t515 () (forall @t44 (not @t514))) % 20.14/20.39 (define @t516 () (not @t515)) % 20.14/20.39 (define @t517 () (or @t487 @t476)) % 20.14/20.39 (define @t518 () (or @t490 @t490 @t301)) % 20.14/20.39 (define @t519 () (or @t490 @t301)) % 20.14/20.39 (define @t520 () (or @t243 @t490 @t301)) % 20.14/20.39 (define @t521 () (or @t247 @t247 @t490 @t309)) % 20.14/20.39 (define @t522 () (or @t247 @t490 @t309)) % 20.14/20.39 (define @t523 () (forall @t249 @t522)) % 20.14/20.39 (define @t524 () (forall @t237 @t523)) % 20.14/20.39 (define @t525 () (forall @t499 @t522)) % 20.14/20.39 (define @t526 () (and @t246 @t489 @t56)) % 20.14/20.39 (define @t527 () (forall @t49 (not @t526))) % 20.14/20.39 (define @t528 () (not @t527)) % 20.14/20.39 (define @t529 () (forall @t361 @t358)) % 20.14/20.39 (define @t530 () (not @t529)) % 20.14/20.39 (define @t531 () (@quantifiers_skolemize @t529 1)) % 20.14/20.39 (define @t532 () (+ 1 @t531)) % 20.14/20.39 (define @t533 () (@quantifiers_skolemize @t529 0)) % 20.14/20.39 (define @t534 () (tptp.tq @t533 (tptp.f__integer__ @t532))) % 20.14/20.39 (define @t535 () (tptp.tp @t533 (tptp.f__integer__ @t531))) % 20.14/20.39 (define @t536 () (not @t535)) % 20.14/20.39 (define @t537 () (or @t536 @t534)) % 20.14/20.39 (define @t538 () (not @t537)) % 20.14/20.39 (define @t539 () (@list true)) % 20.14/20.39 (define @t540 () (@list @t537)) % 20.14/20.39 (define @t541 () (or @t534 @t536)) % 20.14/20.39 (define @t542 () (not @t541)) % 20.14/20.39 (define @t543 () (+ -1 @t532)) % 20.14/20.39 (define @t544 () (tptp.f__integer__ @t543)) % 20.14/20.39 (define @t545 () (tptp.tp @t533 @t544)) % 20.14/20.39 (define @t546 () (not @t545)) % 20.14/20.39 (define @t547 () (or @t534 @t546)) % 20.14/20.39 (define @t548 () (forall @t87 @t84)) % 20.14/20.39 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 20.14/20.39 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 20.14/20.39 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 20.14/20.39 (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 20.14/20.39 (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14)))) % 20.14/20.39 (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9)))) % 20.14/20.39 (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17))) % 20.14/20.39 (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21)))) % 20.14/20.39 (assume @p9 (forall @t20 (or @t19 @t18))) % 20.14/20.39 (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22)))) % 20.14/20.39 (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18))) % 20.14/20.39 (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22)))) % 20.14/20.39 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 20.14/20.39 (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24))) % 20.14/20.39 (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__))) % 20.14/20.39 (assume @p16 (forall @t27 (=> (tptp.hq @t26 @t25) (tptp.tq @t26 @t25)))) % 20.14/20.39 (assume @p17 (forall @t27 (=> (tptp.hp @t26 @t25) (tptp.tp @t26 @t25)))) % 20.14/20.39 (assume @p18 @t63) % 20.14/20.39 (assume @p19 @t78) % 20.14/20.39 (assume @p20 true) % 20.14/20.39 (step @p21 :rule aci_norm :args ((= (or @t83 @t81 false) @t84))) % 20.14/20.39 (step @p22 :rule evaluate :args ((not true))) % 20.14/20.39 (step @p23 :rule eq-refl :args (@t82)) % 20.14/20.39 (step @p24 :rule cong :premises (@p23) :args (@t85)) % 20.14/20.39 (step @p25 :rule trans :premises (@p24 @p22)) % 20.14/20.39 (step @p26 :rule refl :args (@t81)) % 20.14/20.39 (step @p27 :rule refl :args (@t83)) % 20.14/20.39 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args (@t86)) % 20.14/20.39 (step @p29 :rule trans :premises (@p28 @p21)) % 20.14/20.39 (step @p30 :rule cong :premises (@p29) :args ((forall @t87 @t86))) % 20.14/20.39 (step @p31 :rule quant-var-elim-eq :args ((= (forall @t92 @t91) @t86))) % 20.14/20.39 (step @p32 :rule aci_norm :args ((= @t93 @t91))) % 20.14/20.39 (step @p33 :rule cong :premises (@p32) :args (@t94)) % 20.14/20.39 (step @p34 :rule trans :premises (@p33 @p31)) % 20.14/20.39 (step @p35 :rule cong :premises (@p34) :args (@t95)) % 20.14/20.39 (step @p36 :rule quant-merge-prenex :args ((= @t95 @t96))) % 20.14/20.39 (step @p37 :rule symm :premises (@p36)) % 20.14/20.39 (step @p38 :rule quant_var_reordering :args ((= (forall @t97 @t93) @t96))) % 20.14/20.39 (step @p39 :rule trans :premises (@p38 @p37 @p35)) % 20.14/20.39 (step @p40 :rule trans :premises (@p39 @p30)) % 20.14/20.39 (step @p41 :rule aci_norm :args ((= (or false @t90 @t81 @t89) @t93))) % 20.14/20.39 (step @p42 :rule refl :args (@t89)) % 20.14/20.39 (step @p43 :rule refl :args (@t90)) % 20.14/20.39 (step @p44 :rule eq-refl :args (@t88)) % 20.14/20.39 (step @p45 :rule cong :premises (@p44) :args (@t98)) % 20.14/20.39 (step @p46 :rule trans :premises (@p45 @p22)) % 20.14/20.39 (step @p47 :rule nary_cong :premises (@p46 @p43 @p26 @p42) :args (@t99)) % 20.14/20.39 (step @p48 :rule trans :premises (@p47 @p41)) % 20.14/20.39 (step @p49 :rule cong :premises (@p48) :args ((forall @t97 @t99))) % 20.14/20.39 (step @p50 :rule trans :premises (@p49 @p40)) % 20.14/20.39 (step @p51 :rule quant-var-elim-eq :args ((= (forall @t104 @t103) @t99))) % 20.14/20.39 (step @p52 :rule aci_norm :args ((= @t105 @t103))) % 20.14/20.39 (step @p53 :rule cong :premises (@p52) :args (@t106)) % 20.14/20.39 (step @p54 :rule trans :premises (@p53 @p51)) % 20.14/20.39 (step @p55 :rule cong :premises (@p54) :args (@t107)) % 20.14/20.39 (step @p56 :rule quant-merge-prenex :args ((= @t107 @t108))) % 20.14/20.39 (step @p57 :rule symm :premises (@p56)) % 20.14/20.39 (step @p58 :rule quant_var_reordering :args ((= (forall @t109 @t105) @t108))) % 20.14/20.39 (step @p59 :rule trans :premises (@p58 @p57 @p55)) % 20.14/20.39 (step @p60 :rule trans :premises (@p59 @p50)) % 20.14/20.39 (step @p61 :rule aci_norm :args ((= (or false @t102 @t101 @t81 @t89) @t105))) % 20.14/20.39 (step @p62 :rule refl :args (@t101)) % 20.14/20.39 (step @p63 :rule refl :args (@t102)) % 20.14/20.39 (step @p64 :rule eq-refl :args (@t80)) % 20.14/20.39 (step @p65 :rule cong :premises (@p64) :args (@t110)) % 20.14/20.39 (step @p66 :rule trans :premises (@p65 @p22)) % 20.14/20.39 (step @p67 :rule nary_cong :premises (@p66 @p63 @p62 @p26 @p42) :args (@t111)) % 20.14/20.39 (step @p68 :rule trans :premises (@p67 @p61)) % 20.14/20.39 (step @p69 :rule cong :premises (@p68) :args ((forall @t109 @t111))) % 20.14/20.39 (step @p70 :rule trans :premises (@p69 @p60)) % 20.14/20.39 (step @p71 :rule quant-var-elim-eq :args ((= (forall @t116 @t115) @t111))) % 20.14/20.39 (step @p72 :rule aci_norm :args ((= @t117 @t115))) % 20.14/20.39 (step @p73 :rule cong :premises (@p72) :args (@t118)) % 20.14/20.39 (step @p74 :rule trans :premises (@p73 @p71)) % 20.14/20.39 (step @p75 :rule cong :premises (@p74) :args (@t119)) % 20.14/20.39 (step @p76 :rule quant-merge-prenex :args ((= @t119 @t120))) % 20.14/20.39 (step @p77 :rule symm :premises (@p76)) % 20.14/20.39 (step @p78 :rule quant_var_reordering :args ((= (forall @t121 @t117) @t120))) % 20.14/20.39 (step @p79 :rule trans :premises (@p78 @p77 @p75)) % 20.14/20.39 (step @p80 :rule trans :premises (@p79 @p70)) % 20.14/20.39 (step @p81 :rule eq-symm :args (@t82 @t88)) % 20.14/20.39 (step @p82 :rule cong :premises (@p81) :args (@t122)) % 20.14/20.39 (step @p83 :rule refl :args (@t113)) % 20.14/20.39 (step @p84 :rule refl :args (@t114)) % 20.14/20.39 (step @p85 :rule nary_cong :premises (@p84 @p63 @p83 @p26 @p82) :args (@t123)) % 20.14/20.39 (step @p86 :rule aci_norm :args ((= @t125 @t123))) % 20.14/20.39 (step @p87 :rule trans :premises (@p86 @p85)) % 20.14/20.39 (step @p88 :rule cong :premises (@p87) :args (@t126)) % 20.14/20.39 (step @p89 :rule trans :premises (@p88 @p80)) % 20.14/20.39 (step @p90 :rule quant-merge-prenex :args ((= (forall @t129 @t128) @t126))) % 20.14/20.39 (step @p91 :rule refl :args (@t113)) % 20.14/20.39 (step @p92 :rule alpha_equiv :args (@t130 (@list @t79) @t132)) % 20.14/20.39 (step @p93 :rule refl :args (@t102)) % 20.14/20.39 (step @p94 :rule refl :args (@t114)) % 20.14/20.39 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92 @p91) :args (@t133)) % 20.14/20.39 (step @p96 :rule quant-miniscope-or :args ((= @t128 @t133))) % 20.14/20.39 (step @p97 :rule trans :premises (@p96 @p95)) % 20.14/20.39 (step @p98 :rule symm :premises (@p97)) % 20.14/20.39 (step @p99 :rule cong :premises (@p98) :args ((forall @t129 (or @t114 @t102 (forall @t137 (or @t136 (not (= @t134 @t88)))) @t113)))) % 20.14/20.39 (step @p100 :rule trans :premises (@p99 @p90)) % 20.14/20.39 (step @p101 :rule trans :premises (@p100 @p89)) % 20.14/20.39 (step @p102 :rule eq-symm :args (@t88 @t134)) % 20.14/20.39 (step @p103 :rule cong :premises (@p102) :args (@t138)) % 20.14/20.39 (step @p104 :rule refl :args (@t136)) % 20.14/20.39 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t139)) % 20.14/20.39 (step @p106 :rule cong :premises (@p105) :args (@t140)) % 20.14/20.39 (step @p107 :rule nary_cong :premises (@p84 @p63 @p106 @p83) :args (@t141)) % 20.14/20.39 (step @p108 :rule cong :premises (@p107) :args (@t142)) % 20.14/20.39 (step @p109 :rule trans :premises (@p108 @p101)) % 20.14/20.39 (step @p110 :rule aci_norm :args ((= (or @t147 @t145 false) @t148))) % 20.14/20.39 (step @p111 :rule eq-refl :args (@t146)) % 20.14/20.39 (step @p112 :rule cong :premises (@p111) :args (@t149)) % 20.14/20.39 (step @p113 :rule trans :premises (@p112 @p22)) % 20.14/20.39 (step @p114 :rule refl :args (@t145)) % 20.14/20.39 (step @p115 :rule refl :args (@t147)) % 20.14/20.39 (step @p116 :rule nary_cong :premises (@p115 @p114 @p113) :args (@t150)) % 20.14/20.39 (step @p117 :rule trans :premises (@p116 @p110)) % 20.14/20.39 (step @p118 :rule cong :premises (@p117) :args ((forall @t151 @t150))) % 20.14/20.39 (step @p119 :rule quant-var-elim-eq :args ((= (forall @t156 @t155) @t150))) % 20.14/20.39 (step @p120 :rule aci_norm :args ((= @t157 @t155))) % 20.14/20.39 (step @p121 :rule cong :premises (@p120) :args (@t158)) % 20.14/20.39 (step @p122 :rule trans :premises (@p121 @p119)) % 20.14/20.39 (step @p123 :rule cong :premises (@p122) :args (@t159)) % 20.14/20.39 (step @p124 :rule quant-merge-prenex :args ((= @t159 @t160))) % 20.14/20.39 (step @p125 :rule symm :premises (@p124)) % 20.14/20.39 (step @p126 :rule quant_var_reordering :args ((= (forall @t161 @t157) @t160))) % 20.14/20.39 (step @p127 :rule trans :premises (@p126 @p125 @p123)) % 20.14/20.39 (step @p128 :rule trans :premises (@p127 @p118)) % 20.14/20.39 (step @p129 :rule aci_norm :args ((= (or false @t154 @t145 @t153) @t157))) % 20.14/20.39 (step @p130 :rule refl :args (@t153)) % 20.14/20.39 (step @p131 :rule refl :args (@t154)) % 20.14/20.39 (step @p132 :rule eq-refl :args (@t152)) % 20.14/20.39 (step @p133 :rule cong :premises (@p132) :args (@t162)) % 20.14/20.39 (step @p134 :rule trans :premises (@p133 @p22)) % 20.14/20.39 (step @p135 :rule nary_cong :premises (@p134 @p131 @p114 @p130) :args (@t163)) % 20.14/20.39 (step @p136 :rule trans :premises (@p135 @p129)) % 20.14/20.39 (step @p137 :rule cong :premises (@p136) :args ((forall @t161 @t163))) % 20.14/20.39 (step @p138 :rule trans :premises (@p137 @p128)) % 20.14/20.39 (step @p139 :rule quant-var-elim-eq :args ((= (forall @t168 @t167) @t163))) % 20.14/20.39 (step @p140 :rule aci_norm :args ((= @t169 @t167))) % 20.14/20.39 (step @p141 :rule cong :premises (@p140) :args (@t170)) % 20.14/20.39 (step @p142 :rule trans :premises (@p141 @p139)) % 20.14/20.39 (step @p143 :rule cong :premises (@p142) :args (@t171)) % 20.14/20.39 (step @p144 :rule quant-merge-prenex :args ((= @t171 @t172))) % 20.14/20.39 (step @p145 :rule symm :premises (@p144)) % 20.14/20.39 (step @p146 :rule quant_var_reordering :args ((= (forall @t173 @t169) @t172))) % 20.14/20.39 (step @p147 :rule trans :premises (@p146 @p145 @p143)) % 20.14/20.39 (step @p148 :rule trans :premises (@p147 @p138)) % 20.14/20.39 (step @p149 :rule aci_norm :args ((= (or false @t166 @t165 @t145 @t153) @t169))) % 20.14/20.39 (step @p150 :rule refl :args (@t165)) % 20.14/20.39 (step @p151 :rule refl :args (@t166)) % 20.14/20.39 (step @p152 :rule eq-refl :args (@t144)) % 20.14/20.39 (step @p153 :rule cong :premises (@p152) :args (@t174)) % 20.14/20.39 (step @p154 :rule trans :premises (@p153 @p22)) % 20.14/20.39 (step @p155 :rule nary_cong :premises (@p154 @p151 @p150 @p114 @p130) :args (@t175)) % 20.14/20.39 (step @p156 :rule trans :premises (@p155 @p149)) % 20.14/20.39 (step @p157 :rule cong :premises (@p156) :args ((forall @t173 @t175))) % 20.14/20.39 (step @p158 :rule trans :premises (@p157 @p148)) % 20.14/20.39 (step @p159 :rule quant-var-elim-eq :args ((= (forall @t180 @t179) @t175))) % 20.14/20.39 (step @p160 :rule aci_norm :args ((= @t181 @t179))) % 20.14/20.39 (step @p161 :rule cong :premises (@p160) :args (@t182)) % 20.14/20.39 (step @p162 :rule trans :premises (@p161 @p159)) % 20.14/20.39 (step @p163 :rule cong :premises (@p162) :args (@t183)) % 20.14/20.39 (step @p164 :rule quant-merge-prenex :args ((= @t183 @t184))) % 20.14/20.39 (step @p165 :rule symm :premises (@p164)) % 20.14/20.39 (step @p166 :rule quant_var_reordering :args ((= (forall @t185 @t181) @t184))) % 20.14/20.39 (step @p167 :rule trans :premises (@p166 @p165 @p163)) % 20.14/20.39 (step @p168 :rule trans :premises (@p167 @p158)) % 20.14/20.39 (step @p169 :rule eq-symm :args (@t146 @t152)) % 20.14/20.39 (step @p170 :rule cong :premises (@p169) :args (@t186)) % 20.14/20.39 (step @p171 :rule refl :args (@t177)) % 20.14/20.39 (step @p172 :rule refl :args (@t178)) % 20.14/20.39 (step @p173 :rule nary_cong :premises (@p172 @p151 @p171 @p114 @p170) :args (@t187)) % 20.14/20.39 (step @p174 :rule aci_norm :args ((= @t189 @t187))) % 20.14/20.39 (step @p175 :rule trans :premises (@p174 @p173)) % 20.14/20.39 (step @p176 :rule cong :premises (@p175) :args (@t190)) % 20.14/20.39 (step @p177 :rule trans :premises (@p176 @p168)) % 20.14/20.39 (step @p178 :rule quant-merge-prenex :args ((= (forall @t193 @t192) @t190))) % 20.14/20.39 (step @p179 :rule refl :args (@t177)) % 20.14/20.39 (step @p180 :rule alpha_equiv :args (@t194 (@list @t143) @t196)) % 20.14/20.39 (step @p181 :rule refl :args (@t166)) % 20.14/20.39 (step @p182 :rule refl :args (@t178)) % 20.14/20.39 (step @p183 :rule nary_cong :premises (@p182 @p181 @p180 @p179) :args (@t197)) % 20.14/20.39 (step @p184 :rule quant-miniscope-or :args ((= @t192 @t197))) % 20.14/20.39 (step @p185 :rule trans :premises (@p184 @p183)) % 20.14/20.39 (step @p186 :rule symm :premises (@p185)) % 20.14/20.39 (step @p187 :rule cong :premises (@p186) :args ((forall @t193 (or @t178 @t166 (forall @t201 (or @t200 (not (= @t198 @t152)))) @t177)))) % 20.14/20.39 (step @p188 :rule trans :premises (@p187 @p178)) % 20.14/20.39 (step @p189 :rule trans :premises (@p188 @p177)) % 20.14/20.39 (step @p190 :rule eq-symm :args (@t152 @t198)) % 20.14/20.39 (step @p191 :rule cong :premises (@p190) :args (@t202)) % 20.14/20.39 (step @p192 :rule refl :args (@t200)) % 20.14/20.39 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t203)) % 20.14/20.39 (step @p194 :rule cong :premises (@p193) :args (@t204)) % 20.14/20.39 (step @p195 :rule nary_cong :premises (@p172 @p151 @p194 @p171) :args (@t205)) % 20.14/20.39 (step @p196 :rule cong :premises (@p195) :args (@t206)) % 20.14/20.39 (step @p197 :rule trans :premises (@p196 @p189)) % 20.14/20.39 (step @p198 :rule nary_cong :premises (@p197 @p109) :args ((and @t206 @t142))) % 20.14/20.39 (step @p199 :rule alpha_equiv :args (@t214 @t215 (@list @t112 @t100 @t80 @t88))) % 20.14/20.39 (step @p200 :rule alpha_equiv :args (@t221 @t215 (@list @t176 @t164 @t144 @t152))) % 20.14/20.39 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t222)) % 20.14/20.39 (step @p202 :rule quant-miniscope-and :args ((= (forall @t62 (and @t220 @t213)) @t222))) % 20.14/20.39 (step @p203 :rule trans :premises (@p202 @p201)) % 20.14/20.39 (step @p204 :rule trans :premises (@p203 @p198)) % 20.14/20.39 (step @p205 :rule aci_norm :args ((= (or (or @t212 @t211 @t210) @t30) @t213))) % 20.14/20.39 (step @p206 :rule refl :args (@t30)) % 20.14/20.39 (step @p207 :rule bool-double-not-elim :args (@t210)) % 20.14/20.39 (step @p208 :rule refl :args (@t211)) 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:args (@t429 @t408)) % 20.14/20.39 (step @p660 :rule cong :premises (@p659) :args (@t463)) % 20.14/20.39 (step @p661 :rule nary_cong :premises (@p660 @p658) :args (@t464)) % 20.14/20.39 (step @p662 :rule cong :premises (@p661) :args (@t465)) % 20.14/20.39 (step @p663 :rule nary_cong :premises (@p639 @p662 @p599 @p638) :args (@t466)) % 20.14/20.39 (step @p664 :rule cong :premises (@p663) :args (@t467)) % 20.14/20.39 (step @p665 :rule trans :premises (@p664 @p656)) % 20.14/20.39 (step @p666 :rule nary_cong :premises (@p665 @p574) :args ((and @t467 @t414))) % 20.14/20.39 (step @p667 :rule alpha_equiv :args (@t474 @t215 (@list @t386 @t374 @t354 @t362))) % 20.14/20.39 (step @p668 :rule alpha_equiv :args (@t478 @t215 (@list @t441 @t429 @t328 @t417))) % 20.14/20.39 (step @p669 :rule nary_cong :premises (@p668 @p667) :args (@t479)) % 20.14/20.39 (step @p670 :rule quant-miniscope-and :args ((= (forall @t62 (and @t477 @t473)) @t479))) % 20.14/20.39 (step @p671 :rule trans :premises (@p670 @p669)) % 20.14/20.39 (step @p672 :rule trans :premises (@p671 @p666)) % 20.14/20.39 (step @p673 :rule aci_norm :args ((= (or (or @t212 @t472 @t469) @t30) @t473))) % 20.14/20.39 (step @p674 :rule refl :args (@t469)) % 20.14/20.39 (step @p675 :rule bool-double-not-elim :args (@t472)) % 20.14/20.39 (step @p676 :rule nary_cong :premises (@p209 @p675 @p674) :args (@t482)) % 20.14/20.39 (step @p677 :rule aci_norm :args ((= (or @t212 (or @t481 @t469)) @t482))) % 20.14/20.39 (step @p678 :rule trans :premises (@p677 @p676)) % 20.14/20.39 (step @p679 :rule bool-and-de-morgan :args (@t480 @t468 true)) % 20.14/20.39 (step @p680 :rule nary_cong :premises (@p209 @p679) :args ((or @t212 (not (and @t480 @t468))))) % 20.14/20.39 (step @p681 :rule bool-and-de-morgan :args (@t52 @t480 (and @t468))) % 20.14/20.39 (step @p682 :rule trans :premises (@p681 @p680)) % 20.14/20.39 (step @p683 :rule trans :premises (@p682 @p678)) % 20.14/20.39 (step @p684 :rule nary_cong :premises (@p683 @p206) :args ((or (not @t483) @t30))) % 20.14/20.39 (step @p685 :rule trans :premises (@p684 @p673)) % 20.14/20.39 (step @p686 :rule bool-impl-elim :args (@t483 @t30)) % 20.14/20.39 (step @p687 :rule trans :premises (@p686 @p685)) % 20.14/20.39 (step @p688 :rule aci_norm :args ((= (or (or @t212 @t472 @t476) @t55) @t477))) % 20.14/20.39 (step @p689 :rule refl :args (@t476)) % 20.14/20.39 (step @p690 :rule nary_cong :premises (@p209 @p675 @p689) :args (@t484)) % 20.14/20.39 (step @p691 :rule aci_norm :args ((= (or @t212 (or @t481 @t476)) @t484))) % 20.14/20.39 (step @p692 :rule trans :premises (@p691 @p690)) % 20.14/20.39 (step @p693 :rule bool-and-de-morgan :args (@t480 @t475 true)) % 20.14/20.39 (step @p694 :rule nary_cong :premises (@p209 @p693) :args ((or @t212 (not (and @t480 @t475))))) % 20.14/20.39 (step @p695 :rule bool-and-de-morgan :args (@t52 @t480 (and @t475))) % 20.14/20.39 (step @p696 :rule trans :premises (@p695 @p694)) % 20.14/20.39 (step @p697 :rule trans :premises (@p696 @p692)) % 20.14/20.39 (step @p698 :rule nary_cong :premises (@p697 @p223) :args ((or (not @t485) @t55))) % 20.14/20.39 (step @p699 :rule trans :premises (@p698 @p688)) % 20.14/20.39 (step @p700 :rule bool-impl-elim :args (@t485 @t55)) % 20.14/20.39 (step @p701 :rule trans :premises (@p700 @p699)) % 20.14/20.39 (step @p702 :rule nary_cong :premises (@p701 @p687) :args (@t486)) % 20.14/20.39 (step @p703 :rule cong :premises (@p702) :args ((forall @t62 @t486))) % 20.14/20.39 (step @p704 :rule trans :premises (@p703 @p672)) % 20.14/20.39 (step @p705 :rule bool-double-not-elim :args (@t468)) % 20.14/20.39 (step @p706 :rule aci_norm :args ((= (or false @t469) @t469))) % 20.14/20.39 (step @p707 :rule refl :args (@t469)) % 20.14/20.39 (step @p708 :rule eq-refl :args (@t36)) % 20.14/20.39 (step @p709 :rule cong :premises (@p708) :args (@t487)) % 20.14/20.39 (step @p710 :rule trans :premises (@p709 @p22)) % 20.14/20.39 (step @p711 :rule nary_cong :premises (@p710 @p707) :args (@t488)) % 20.14/20.39 (step @p712 :rule trans :premises (@p711 @p706)) % 20.14/20.39 (step @p713 :rule quant-var-elim-eq :args ((= (forall @t237 (or @t491 @t490 @t235)) @t488))) % 20.14/20.39 (step @p714 :rule refl :args (@t235)) % 20.14/20.39 (step @p715 :rule refl :args (@t490)) % 20.14/20.39 (step @p716 :rule eq-symm :args (@t36 @t31)) % 20.14/20.39 (step @p717 :rule cong :premises (@p716) :args (@t490)) % 20.14/20.39 (step @p718 :rule nary_cong :premises (@p717 @p715 @p714) :args (@t492)) % 20.14/20.39 (step @p719 :rule aci_norm :args ((= @t493 @t492))) % 20.14/20.39 (step @p720 :rule trans :premises (@p719 @p718)) % 20.14/20.39 (step @p721 :rule cong :premises (@p720) :args ((forall @t237 @t493))) % 20.14/20.39 (step @p722 :rule trans :premises (@p721 @p713)) % 20.14/20.39 (step @p723 :rule trans :premises (@p722 @p712)) % 20.14/20.39 (step @p724 :rule aci_norm :args ((= (or false @t490 @t235) @t493))) % 20.14/20.39 (step @p725 :rule refl :args (@t490)) % 20.14/20.39 (step @p726 :rule nary_cong :premises (@p265 @p725 @p262) :args (@t494)) % 20.14/20.39 (step @p727 :rule trans :premises (@p726 @p724)) % 20.14/20.39 (step @p728 :rule cong :premises (@p727) :args ((forall @t237 @t494))) % 20.14/20.39 (step @p729 :rule trans :premises (@p728 @p723)) % 20.14/20.39 (step @p730 :rule quant-var-elim-eq :args ((= (forall @t249 (or @t248 @t247 @t490 @t245)) @t494))) % 20.14/20.39 (step @p731 :rule nary_cong :premises (@p276 @p274 @p715 @p273) :args (@t495)) % 20.14/20.39 (step @p732 :rule aci_norm :args ((= @t496 @t495))) % 20.14/20.39 (step @p733 :rule trans :premises (@p732 @p731)) % 20.14/20.39 (step @p734 :rule cong :premises (@p733) :args (@t497)) % 20.14/20.39 (step @p735 :rule trans :premises (@p734 @p730)) % 20.14/20.39 (step @p736 :rule cong :premises (@p735) :args (@t498)) % 20.14/20.39 (step @p737 :rule quant-merge-prenex :args ((= @t498 @t500))) % 20.14/20.39 (step @p738 :rule symm :premises (@p737)) % 20.14/20.39 (step @p739 :rule quant_var_reordering :args ((= (forall @t49 @t496) @t500))) % 20.14/20.39 (step @p740 :rule trans :premises (@p739 @p738 @p736)) % 20.14/20.39 (step @p741 :rule trans :premises (@p740 @p729)) % 20.14/20.39 (step @p742 :rule aci_norm :args ((= (or @t247 (or @t490 @t245)) @t496))) % 20.14/20.39 (step @p743 :rule bool-and-de-morgan :args (@t489 @t33 true)) % 20.14/20.39 (step @p744 :rule nary_cong :premises (@p274 @p743) :args ((or @t247 (not (and @t489 @t33))))) % 20.14/20.39 (step @p745 :rule bool-and-de-morgan :args (@t246 @t489 (and @t33))) % 20.14/20.39 (step @p746 :rule trans :premises (@p745 @p744)) % 20.14/20.39 (step @p747 :rule trans :premises (@p746 @p742)) % 20.14/20.39 (step @p748 :rule cong :premises (@p747) :args (@t502)) % 20.14/20.39 (step @p749 :rule trans :premises (@p748 @p741)) % 20.14/20.39 (step @p750 :rule cong :premises (@p749) :args (@t503)) % 20.14/20.39 (step @p751 :rule trans :premises (@p750 @p705)) % 20.14/20.39 (step @p752 :rule exists-elim :args ((= (exists @t49 @t501) @t503))) % 20.14/20.39 (step @p753 :rule trans :premises (@p752 @p751)) % 20.14/20.39 (step @p754 :rule eq-symm :args (@t31 @t36)) % 20.14/20.39 (step @p755 :rule nary_cong :premises (@p361 @p754 @p314) :args (@t65)) % 20.14/20.39 (step @p756 :rule cong :premises (@p755) :args (@t66)) % 20.14/20.39 (step @p757 :rule trans :premises (@p756 @p753)) % 20.14/20.39 (step @p758 :rule aci_norm :args ((= (or @t470 @t264 false) @t471))) % 20.14/20.39 (step @p759 :rule arith_poly_norm :args ((= @t504 @t407))) % 20.14/20.39 (step @p760 :rule cong :premises (@p759) :args (@t505)) % 20.14/20.39 (step @p761 :rule refl :args (@t28)) % 20.14/20.39 (step @p762 :rule cong :premises (@p761 @p760) :args (@t506)) % 20.14/20.39 (step @p763 :rule cong :premises (@p762) :args (@t507)) % 20.14/20.39 (step @p764 :rule nary_cong :premises (@p763 @p319 @p318) :args (@t508)) % 20.14/20.39 (step @p765 :rule trans :premises (@p764 @p758)) % 20.14/20.39 (step @p766 :rule cong :premises (@p765) :args ((forall @t268 @t508))) % 20.14/20.39 (step @p767 :rule quant-var-elim-eq :args ((= (forall @t289 @t510) @t508))) % 20.14/20.39 (step @p768 :rule aci_norm :args ((= @t511 @t510))) % 20.14/20.39 (step @p769 :rule cong :premises (@p768) :args (@t512)) % 20.14/20.39 (step @p770 :rule trans :premises (@p769 @p767)) % 20.14/20.39 (step @p771 :rule cong :premises (@p770) :args (@t513)) % 20.14/20.39 (step @p772 :rule quant-merge-prenex :args ((= @t513 (forall @t44 @t511)))) % 20.14/20.39 (step @p773 :rule symm :premises (@p772)) % 20.14/20.39 (step @p774 :rule trans :premises (@p773 @p771)) % 20.14/20.39 (step @p775 :rule trans :premises (@p774 @p766)) % 20.14/20.39 (step @p776 :rule aci_norm :args ((= (or @t509 @t293) @t511))) % 20.14/20.39 (step @p777 :rule refl :args (@t509)) % 20.14/20.39 (step @p778 :rule nary_cong :premises (@p777 @p342) :args ((or @t509 @t294))) % 20.14/20.39 (step @p779 :rule bool-and-de-morgan :args (@t67 @t263 (and @t35))) % 20.14/20.39 (step @p780 :rule trans :premises (@p779 @p778)) % 20.14/20.39 (step @p781 :rule trans :premises (@p780 @p776)) % 20.14/20.39 (step @p782 :rule cong :premises (@p781) :args (@t515)) % 20.14/20.39 (step @p783 :rule trans :premises (@p782 @p775)) % 20.14/20.39 (step @p784 :rule cong :premises (@p783) :args (@t516)) % 20.14/20.39 (step @p785 :rule exists-elim :args ((= (exists @t44 @t514) @t516))) % 20.14/20.39 (step @p786 :rule trans :premises (@p785 @p784)) % 20.14/20.39 (step @p787 :rule refl :args (@t67)) % 20.14/20.39 (step @p788 :rule nary_cong :premises (@p787 @p354 @p353) :args (@t68)) % 20.14/20.39 (step @p789 :rule cong :premises (@p788) :args (@t69)) % 20.14/20.39 (step @p790 :rule trans :premises (@p789 @p786)) % 20.14/20.39 (step @p791 :rule nary_cong :premises (@p366 @p790 @p757) :args (@t70)) % 20.14/20.39 (step @p792 :rule cong :premises (@p791 @p240) :args (@t71)) % 20.14/20.39 (step @p793 :rule bool-double-not-elim :args (@t475)) % 20.14/20.39 (step @p794 :rule aci_norm :args ((= (or false @t476) @t476))) % 20.14/20.39 (step @p795 :rule refl :args (@t476)) % 20.14/20.39 (step @p796 :rule nary_cong :premises (@p710 @p795) :args (@t517)) % 20.14/20.39 (step @p797 :rule trans :premises (@p796 @p794)) % 20.14/20.39 (step @p798 :rule quant-var-elim-eq :args ((= (forall @t237 (or @t491 @t490 @t301)) @t517))) % 20.14/20.39 (step @p799 :rule refl :args (@t301)) % 20.14/20.39 (step @p800 :rule nary_cong :premises (@p717 @p715 @p799) :args (@t518)) % 20.14/20.39 (step @p801 :rule aci_norm :args ((= @t519 @t518))) % 20.14/20.39 (step @p802 :rule trans :premises (@p801 @p800)) % 20.14/20.39 (step @p803 :rule cong :premises (@p802) :args ((forall @t237 @t519))) % 20.14/20.39 (step @p804 :rule trans :premises (@p803 @p798)) % 20.14/20.39 (step @p805 :rule trans :premises (@p804 @p797)) % 20.14/20.39 (step @p806 :rule aci_norm :args ((= (or false @t490 @t301) @t519))) % 20.14/20.39 (step @p807 :rule nary_cong :premises (@p265 @p725 @p391) :args (@t520)) % 20.14/20.39 (step @p808 :rule trans :premises (@p807 @p806)) % 20.14/20.39 (step @p809 :rule cong :premises (@p808) :args ((forall @t237 @t520))) % 20.14/20.39 (step @p810 :rule trans :premises (@p809 @p805)) % 20.14/20.39 (step @p811 :rule quant-var-elim-eq :args ((= (forall @t249 (or @t248 @t247 @t490 @t309)) @t520))) % 20.14/20.39 (step @p812 :rule nary_cong :premises (@p276 @p274 @p715 @p399) :args (@t521)) % 20.14/20.39 (step @p813 :rule aci_norm :args ((= @t522 @t521))) % 20.14/20.39 (step @p814 :rule trans :premises (@p813 @p812)) % 20.14/20.39 (step @p815 :rule cong :premises (@p814) :args (@t523)) % 20.14/20.39 (step @p816 :rule trans :premises (@p815 @p811)) % 20.14/20.39 (step @p817 :rule cong :premises (@p816) :args (@t524)) % 20.14/20.39 (step @p818 :rule quant-merge-prenex :args ((= @t524 @t525))) % 20.14/20.39 (step @p819 :rule symm :premises (@p818)) % 20.14/20.39 (step @p820 :rule quant_var_reordering :args ((= (forall @t49 @t522) @t525))) % 20.14/20.39 (step @p821 :rule trans :premises (@p820 @p819 @p817)) % 20.14/20.39 (step @p822 :rule trans :premises (@p821 @p810)) % 20.14/20.39 (step @p823 :rule aci_norm :args ((= (or @t247 (or @t490 @t309)) @t522))) % 20.14/20.39 (step @p824 :rule bool-and-de-morgan :args (@t489 @t56 true)) % 20.14/20.39 (step @p825 :rule nary_cong :premises (@p274 @p824) :args ((or @t247 (not (and @t489 @t56))))) % 20.14/20.39 (step @p826 :rule bool-and-de-morgan :args (@t246 @t489 (and @t56))) % 20.14/20.39 (step @p827 :rule trans :premises (@p826 @p825)) % 20.14/20.39 (step @p828 :rule trans :premises (@p827 @p823)) % 20.14/20.39 (step @p829 :rule cong :premises (@p828) :args (@t527)) % 20.14/20.39 (step @p830 :rule trans :premises (@p829 @p822)) % 20.14/20.39 (step @p831 :rule cong :premises (@p830) :args (@t528)) % 20.14/20.39 (step @p832 :rule trans :premises (@p831 @p793)) % 20.14/20.39 (step @p833 :rule exists-elim :args ((= (exists @t49 @t526) @t528))) % 20.14/20.39 (step @p834 :rule trans :premises (@p833 @p832)) % 20.14/20.39 (step @p835 :rule nary_cong :premises (@p361 @p754 @p436) :args (@t72)) % 20.14/20.39 (step @p836 :rule cong :premises (@p835) :args (@t73)) % 20.14/20.39 (step @p837 :rule trans :premises (@p836 @p834)) % 20.14/20.39 (step @p838 :rule nary_cong :premises (@p366 @p790 @p837) :args (@t74)) % 20.14/20.39 (step @p839 :rule cong :premises (@p838 @p369) :args (@t75)) % 20.14/20.39 (step @p840 :rule nary_cong :premises (@p839 @p792) :args (@t76)) % 20.14/20.39 (step @p841 :rule cong :premises (@p840) :args (@t77)) % 20.14/20.39 (step @p842 :rule trans :premises (@p841 @p704)) % 20.14/20.39 (step @p843 :rule cong :premises (@p842) :args (@t78)) % 20.14/20.39 (step @p844 :rule eq_resolve :premises (@p19 @p843)) % 20.14/20.39 (step @p845 :rule not_and :premises (@p844)) % 20.14/20.39 (step @p846 :rule chain_m_resolution :premises (@p845 @p483) :args (@t530 @t349 (@list @t334))) % 20.14/20.39 (step @p847 :rule refl :args (@t538)) % 20.14/20.39 (step @p848 :rule bool-double-not-elim :args (@t529)) % 20.14/20.39 (step @p849 :rule nary_cong :premises (@p848 @p847) :args ((or (not @t530) @t538))) % 20.14/20.39 (assume-push @p889 @t530) % 20.14/20.39 (step @p851 :rule skolemize :premises (@p889)) % 20.14/20.39 (step-pop @p890 :rule scope :premises (@p851)) % 20.14/20.39 (step @p852 :rule process_scope :premises (@p890) :args (@t538)) % 20.14/20.39 (step @p854 :rule implies_elim :premises (@p852)) % 20.14/20.39 (step @p855 :rule eq_resolve :premises (@p854 @p849)) % 20.14/20.39 (step @p856 :rule chain_m_resolution :premises (@p855 @p846) :args (@t538 @t539 (@list @t529))) % 20.14/20.39 (step @p857 :rule cnf_or_neg :args (@t537 1)) % 20.14/20.39 (step @p858 :rule chain_m_resolution :premises (@p857 @p856) :args ((not @t534) @t539 @t540)) % 20.14/20.39 (step @p859 :rule bool-double-not-elim :args (@t535)) % 20.14/20.39 (step @p860 :rule refl :args (@t537)) % 20.14/20.39 (step @p861 :rule nary_cong :premises (@p860 @p859) :args ((or @t537 (not @t536)))) % 20.14/20.39 (step @p862 :rule cnf_or_neg :args (@t537 0)) % 20.14/20.39 (step @p863 :rule eq_resolve :premises (@p862 @p861)) % 20.14/20.39 (step @p864 :rule reordering :premises (@p863) :args ((or @t535 @t537))) % 20.14/20.39 (step @p865 :rule chain_m_resolution :premises (@p864 @p856) :args (@t535 @t539 @t540)) % 20.14/20.39 (step @p866 :rule cnf_or_pos :args (@t541)) % 20.14/20.39 (step @p867 :rule reordering :premises (@p866) :args ((or @t536 @t534 @t542))) % 20.14/20.39 (step @p868 :rule chain_m_resolution :premises (@p867 @p865 @p858) :args (@t542 (@list false true) (@list @t535 @t534))) % 20.14/20.39 (step @p869 :rule arith_poly_norm :args ((= @t543 @t531))) % 20.14/20.39 (step @p870 :rule cong :premises (@p869) :args (@t544)) % 20.14/20.39 (step @p871 :rule refl :args (@t533)) % 20.14/20.39 (step @p872 :rule cong :premises (@p871 @p870) :args (@t545)) % 20.14/20.39 (step @p873 :rule cong :premises (@p872) :args (@t546)) % 20.14/20.39 (step @p874 :rule refl :args (@t534)) % 20.14/20.39 (step @p875 :rule nary_cong :premises (@p874 @p873) :args (@t547)) % 20.14/20.39 (step @p876 :rule refl :args (@t548)) % 20.14/20.39 (step @p877 :rule cong :premises (@p876 @p875) :args ((=> @t548 @t547))) % 20.14/20.39 (assume-push @p891 @t548) % 20.14/20.39 (step @p879 :rule instantiate :premises (@p446) :args ((@list @t533 @t532))) % 20.14/20.39 (step-pop @p892 :rule scope :premises (@p879)) % 20.14/20.39 (step @p880 :rule process_scope :premises (@p892) :args (@t547)) % 20.14/20.39 (step @p882 :rule eq_resolve :premises (@p880 @p877)) % 20.14/20.39 (step @p883 :rule implies_elim :premises (@p882)) % 20.14/20.39 (step @p884 false :rule chain_m_resolution :premises (@p883 @p868 @p446) :args (false (@list true false) (@list @t541 @t548))) % 20.14/20.39 ) % 20.14/20.39 % SZS output end Proof % 20.14/20.39 % cvc5 exiting %------------------------------------------------------------------------------