%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX107_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 : n017.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 0.71s 0.95s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWX107_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 : n017.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 22:55:16 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_ARI % 0.71/0.95 --- Run --finite-model-find --decision=internal at 45... % 0.71/0.95 % SZS status Theorem % 0.71/0.95 % SZS output start Proof % 0.71/0.95 ( % 0.71/0.95 (declare-sort tptp.symbol 0) % 0.71/0.95 (declare-sort tptp.general 0) % 0.71/0.95 (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool)) % 0.71/0.95 (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool)) % 0.71/0.95 (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool)) % 0.71/0.95 (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool)) % 0.71/0.95 (declare-const tptp.hp (-> tptp.general Bool)) % 0.71/0.95 (declare-const tptp.c__infimum__ tptp.general) % 0.71/0.95 (declare-const tptp.tp (-> tptp.general Bool)) % 0.71/0.95 (declare-const tptp.c__supremum__ tptp.general) % 0.71/0.95 (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool)) % 0.71/0.95 (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general)) % 0.71/0.95 (declare-const tptp.p__is_integer__ (-> tptp.general Bool)) % 0.71/0.95 (declare-const tptp.f__integer__ (-> Int tptp.general)) % 0.71/0.95 (define @t1 () (@var "N" Int)) % 0.71/0.95 (define @t2 () (tptp.f__integer__ @t1)) % 0.71/0.95 (define @t3 () (@var "X" tptp.general)) % 0.71/0.95 (define @t4 () (@list @t1)) % 0.71/0.95 (define @t5 () (tptp.p__is_integer__ @t3)) % 0.71/0.95 (define @t6 () (@list @t3)) % 0.71/0.95 (define @t7 () (@var "X2" tptp.symbol)) % 0.71/0.95 (define @t8 () (@var "X1" tptp.general)) % 0.71/0.95 (define @t9 () (@var "N2" Int)) % 0.71/0.95 (define @t10 () (@var "N1" Int)) % 0.71/0.95 (define @t11 () (tptp.f__integer__ @t9)) % 0.71/0.95 (define @t12 () (tptp.f__integer__ @t10)) % 0.71/0.95 (define @t13 () (@list @t10 @t9)) % 0.71/0.95 (define @t14 () (@var "S2" tptp.symbol)) % 0.71/0.95 (define @t15 () (@var "S1" tptp.symbol)) % 0.71/0.95 (define @t16 () (@var "X2" tptp.general)) % 0.71/0.95 (define @t17 () (= @t8 @t16)) % 0.71/0.95 (define @t18 () (tptp.p__less_equal__ @t16 @t8)) % 0.71/0.95 (define @t19 () (tptp.p__less_equal__ @t8 @t16)) % 0.71/0.95 (define @t20 () (@list @t8 @t16)) % 0.71/0.95 (define @t21 () (@var "X3" tptp.general)) % 0.71/0.95 (define @t22 () (not @t17)) % 0.71/0.95 (define @t23 () (@var "S" tptp.symbol)) % 0.71/0.95 (define @t24 () (tptp.f__symbolic__ @t23)) % 0.71/0.95 (define @t25 () (@var "X1_g" tptp.general)) % 0.71/0.95 (define @t26 () (@var "V1_g" tptp.general)) % 0.71/0.95 (define @t27 () (tptp.tp @t26)) % 0.71/0.95 (define @t28 () (@var "Z1_g" tptp.general)) % 0.71/0.95 (define @t29 () (@var "Z_g" tptp.general)) % 0.71/0.95 (define @t30 () (= @t29 @t28)) % 0.71/0.95 (define @t31 () (@var "X_g" tptp.general)) % 0.71/0.95 (define @t32 () (@var "J_i" Int)) % 0.71/0.95 (define @t33 () (tptp.f__integer__ @t32)) % 0.71/0.95 (define @t34 () (@var "I_i" Int)) % 0.71/0.95 (define @t35 () (tptp.f__integer__ @t34)) % 0.71/0.95 (define @t36 () (* @t34 @t32)) % 0.71/0.95 (define @t37 () (tptp.f__integer__ @t36)) % 0.71/0.95 (define @t38 () (= @t28 @t37)) % 0.71/0.95 (define @t39 () (and @t38 (= @t35 @t31) (= @t33 @t31))) % 0.71/0.95 (define @t40 () (@list @t34 @t32)) % 0.71/0.95 (define @t41 () (exists @t40 @t39)) % 0.71/0.95 (define @t42 () (@var "Y_g" tptp.general)) % 0.71/0.95 (define @t43 () (= @t29 @t42)) % 0.71/0.95 (define @t44 () (and @t43 @t41 @t30)) % 0.71/0.95 (define @t45 () (@list @t29 @t28)) % 0.71/0.95 (define @t46 () (exists @t45 @t44)) % 0.71/0.95 (define @t47 () (@var "K_i" Int)) % 0.71/0.95 (define @t48 () (<= @t47 @t32)) % 0.71/0.95 (define @t49 () (<= @t34 @t47)) % 0.71/0.95 (define @t50 () (= @t28 (tptp.f__integer__ @t47))) % 0.71/0.95 (define @t51 () (= @t32 1)) % 0.71/0.95 (define @t52 () (= @t34 0)) % 0.71/0.95 (define @t53 () (and @t52 @t51 @t50 @t49 @t48)) % 0.71/0.95 (define @t54 () (@list @t34 @t32 @t47)) % 0.71/0.95 (define @t55 () (exists @t54 @t53)) % 0.71/0.95 (define @t56 () (= @t29 @t31)) % 0.71/0.95 (define @t57 () (and @t56 @t55 @t30)) % 0.71/0.95 (define @t58 () (exists @t45 @t57)) % 0.71/0.95 (define @t59 () (= @t26 @t42)) % 0.71/0.95 (define @t60 () (and @t59 @t58 @t46)) % 0.71/0.95 (define @t61 () (=> @t60 @t27)) % 0.71/0.95 (define @t62 () (tptp.hp @t26)) % 0.71/0.95 (define @t63 () (=> @t60 @t62)) % 0.71/0.95 (define @t64 () (and @t63 @t61)) % 0.71/0.95 (define @t65 () (@list @t26 @t31 @t42)) % 0.71/0.95 (define @t66 () (forall @t65 @t64)) % 0.71/0.95 (define @t67 () (- 1)) % 0.71/0.95 (define @t68 () (= @t34 @t67)) % 0.71/0.95 (define @t69 () (and @t68 @t51 @t50 @t49 @t48)) % 0.71/0.95 (define @t70 () (exists @t54 @t69)) % 0.71/0.95 (define @t71 () (and @t56 @t70 @t30)) % 0.71/0.95 (define @t72 () (exists @t45 @t71)) % 0.71/0.95 (define @t73 () (and @t59 @t72 @t46)) % 0.71/0.95 (define @t74 () (=> @t73 @t27)) % 0.71/0.95 (define @t75 () (=> @t73 @t62)) % 0.71/0.95 (define @t76 () (and @t75 @t74)) % 0.71/0.95 (define @t77 () (forall @t65 @t76)) % 0.71/0.95 (define @t78 () (not @t77)) % 0.71/0.95 (define @t79 () (@var "BOUND_VARIABLE_8146" Int)) % 0.71/0.95 (define @t80 () (tptp.f__integer__ @t79)) % 0.71/0.95 (define @t81 () (@var "BOUND_VARIABLE_8135" Int)) % 0.71/0.95 (define @t82 () (tptp.f__integer__ @t81)) % 0.71/0.95 (define @t83 () (not (= @t82 @t80))) % 0.71/0.95 (define @t84 () (@var "BOUND_VARIABLE_8144" Int)) % 0.71/0.95 (define @t85 () (tptp.f__integer__ @t84)) % 0.71/0.95 (define @t86 () (not (= @t82 @t85))) % 0.71/0.96 (define @t87 () (>= @t81 2)) % 0.71/0.96 (define @t88 () (not (>= @t81 -1))) % 0.71/0.96 (define @t89 () (tptp.f__integer__ (* @t84 @t79))) % 0.71/0.96 (define @t90 () (tptp.hp @t89)) % 0.71/0.96 (define @t91 () (or @t90 @t88 @t87 @t86 @t83)) % 0.71/0.96 (define @t92 () (@list @t81 @t84 @t79)) % 0.71/0.96 (define @t93 () (forall @t92 @t91)) % 0.71/0.96 (define @t94 () (@quantifiers_skolemize @t93 1)) % 0.71/0.96 (define @t95 () (@quantifiers_skolemize @t93 0)) % 0.71/0.96 (define @t96 () (@var "BOUND_VARIABLE_8229" Int)) % 0.71/0.96 (define @t97 () (tptp.f__integer__ @t96)) % 0.71/0.96 (define @t98 () (@var "BOUND_VARIABLE_8218" Int)) % 0.71/0.96 (define @t99 () (tptp.f__integer__ @t98)) % 0.71/0.96 (define @t100 () (not (= @t99 @t97))) % 0.71/0.96 (define @t101 () (@var "BOUND_VARIABLE_8227" Int)) % 0.71/0.96 (define @t102 () (tptp.f__integer__ @t101)) % 0.71/0.96 (define @t103 () (not (= @t99 @t102))) % 0.71/0.96 (define @t104 () (>= @t98 2)) % 0.71/0.96 (define @t105 () (not (>= @t98 -1))) % 0.71/0.96 (define @t106 () (tptp.f__integer__ (* @t101 @t96))) % 0.71/0.96 (define @t107 () (tptp.tp @t106)) % 0.71/0.96 (define @t108 () (or @t107 @t105 @t104 @t103 @t100)) % 0.71/0.96 (define @t109 () (@list @t98 @t101 @t96)) % 0.71/0.96 (define @t110 () (forall @t109 @t108)) % 0.71/0.96 (define @t111 () (@quantifiers_skolemize @t110 2)) % 0.71/0.96 (define @t112 () (@quantifiers_skolemize @t110 0)) % 0.71/0.96 (define @t113 () (tptp.f__integer__ @t112)) % 0.71/0.96 (define @t114 () (= @t113 (tptp.f__integer__ @t111))) % 0.71/0.96 (define @t115 () (not @t114)) % 0.71/0.96 (define @t116 () (@quantifiers_skolemize @t110 1)) % 0.71/0.96 (define @t117 () (= @t113 (tptp.f__integer__ @t116))) % 0.71/0.96 (define @t118 () (not @t117)) % 0.71/0.96 (define @t119 () (>= @t112 2)) % 0.71/0.96 (define @t120 () (>= @t112 -1)) % 0.71/0.96 (define @t121 () (not @t120)) % 0.71/0.96 (define @t122 () (* @t116 @t111)) % 0.71/0.96 (define @t123 () (tptp.f__integer__ @t122)) % 0.71/0.96 (define @t124 () (tptp.tp @t123)) % 0.71/0.96 (define @t125 () (or @t124 @t121 @t119 @t118 @t115)) % 0.71/0.96 (define @t126 () (@var "BOUND_VARIABLE_7940" Int)) % 0.71/0.96 (define @t127 () (tptp.f__integer__ @t126)) % 0.71/0.96 (define @t128 () (@var "BOUND_VARIABLE_7929" Int)) % 0.71/0.96 (define @t129 () (tptp.f__integer__ @t128)) % 0.71/0.96 (define @t130 () (not (= @t129 @t127))) % 0.71/0.96 (define @t131 () (@var "BOUND_VARIABLE_7938" Int)) % 0.71/0.96 (define @t132 () (tptp.f__integer__ @t131)) % 0.71/0.96 (define @t133 () (not (= @t129 @t132))) % 0.71/0.96 (define @t134 () (>= @t128 2)) % 0.71/0.96 (define @t135 () (not (>= @t128 0))) % 0.71/0.96 (define @t136 () (tptp.f__integer__ (* @t131 @t126))) % 0.71/0.96 (define @t137 () (tptp.tp @t136)) % 0.71/0.96 (define @t138 () (or @t137 @t135 @t134 @t133 @t130)) % 0.71/0.96 (define @t139 () (not (= @t136 @t136))) % 0.71/0.96 (define @t140 () (or @t137 @t135 @t134 @t139 @t133 @t130)) % 0.71/0.96 (define @t141 () (@list @t128 @t131 @t126)) % 0.71/0.96 (define @t142 () (@var "BOUND_VARIABLE_7810" tptp.general)) % 0.71/0.96 (define @t143 () (not (= @t142 @t136))) % 0.71/0.96 (define @t144 () (tptp.tp @t142)) % 0.71/0.96 (define @t145 () (or @t143 @t144 @t135 @t134 @t143 @t133 @t130)) % 0.71/0.96 (define @t146 () (@list @t142)) % 0.71/0.96 (define @t147 () (or @t144 @t135 @t134 @t143 @t133 @t130)) % 0.71/0.96 (define @t148 () (forall @t146 @t147)) % 0.71/0.96 (define @t149 () (forall @t141 @t148)) % 0.71/0.96 (define @t150 () (forall (@list @t128 @t131 @t126 @t142) @t147)) % 0.71/0.96 (define @t151 () (@list @t142 @t128 @t131 @t126)) % 0.71/0.96 (define @t152 () (not (= @t129 @t129))) % 0.71/0.96 (define @t153 () (or @t144 @t152 @t135 @t134 @t143 @t133 @t130)) % 0.71/0.96 (define @t154 () (@var "BOUND_VARIABLE_7808" tptp.general)) % 0.71/0.96 (define @t155 () (not (= @t154 @t127))) % 0.71/0.96 (define @t156 () (not (= @t154 @t132))) % 0.71/0.96 (define @t157 () (not (= @t154 @t129))) % 0.71/0.96 (define @t158 () (or @t157 @t144 @t157 @t135 @t134 @t143 @t156 @t155)) % 0.71/0.96 (define @t159 () (@list @t154)) % 0.71/0.96 (define @t160 () (or @t144 @t157 @t135 @t134 @t143 @t156 @t155)) % 0.71/0.96 (define @t161 () (forall @t159 @t160)) % 0.71/0.96 (define @t162 () (forall @t151 @t161)) % 0.71/0.96 (define @t163 () (forall (@list @t142 @t128 @t131 @t126 @t154) @t160)) % 0.71/0.96 (define @t164 () (@list @t154 @t142 @t128 @t131 @t126)) % 0.71/0.96 (define @t165 () (not (= @t142 @t142))) % 0.71/0.96 (define @t166 () (or @t165 @t144 @t157 @t135 @t134 @t143 @t156 @t155)) % 0.71/0.96 (define @t167 () (@var "BOUND_VARIABLE_7806" tptp.general)) % 0.71/0.96 (define @t168 () (tptp.tp @t167)) % 0.71/0.96 (define @t169 () (not (= @t167 @t142))) % 0.71/0.96 (define @t170 () (or @t169 @t169 @t168 @t157 @t135 @t134 @t143 @t156 @t155)) % 0.71/0.96 (define @t171 () (@list @t167)) % 0.71/0.96 (define @t172 () (or @t169 @t168 @t157 @t135 @t134 @t143 @t156 @t155)) % 0.71/0.96 (define @t173 () (forall @t171 @t172)) % 0.71/0.96 (define @t174 () (forall @t164 @t173)) % 0.71/0.96 (define @t175 () (forall (@list @t154 @t142 @t128 @t131 @t126 @t167) @t172)) % 0.71/0.96 (define @t176 () (@list @t167 @t154 @t142 @t128 @t131 @t126)) % 0.71/0.96 (define @t177 () (not (= @t127 @t154))) % 0.71/0.96 (define @t178 () (not (= @t132 @t154))) % 0.71/0.96 (define @t179 () (not (= @t136 @t142))) % 0.71/0.96 (define @t180 () (not (= @t129 @t154))) % 0.71/0.96 (define @t181 () (or @t169 @t168 @t180 @t135 @t134 @t179 @t178 @t177)) % 0.71/0.96 (define @t182 () (or @t179 @t178 @t177)) % 0.71/0.96 (define @t183 () (or @t180 @t135 @t134)) % 0.71/0.96 (define @t184 () (or @t169 @t183 @t182 @t168)) % 0.71/0.96 (define @t185 () (forall @t176 @t184)) % 0.71/0.96 (define @t186 () (forall @t141 @t184)) % 0.71/0.96 (define @t187 () (@list @t167 @t154 @t142)) % 0.71/0.96 (define @t188 () (forall (@list @t131 @t126) @t182)) % 0.71/0.96 (define @t189 () (@var "BOUND_VARIABLE_7733" Int)) % 0.71/0.96 (define @t190 () (@var "BOUND_VARIABLE_7731" Int)) % 0.71/0.96 (define @t191 () (@list @t190 @t189)) % 0.71/0.96 (define @t192 () (forall (@list @t128) @t183)) % 0.71/0.96 (define @t193 () (@var "BOUND_VARIABLE_7673" Int)) % 0.71/0.96 (define @t194 () (@list @t193)) % 0.71/0.96 (define @t195 () (or @t169 @t192 @t188 @t168)) % 0.71/0.96 (define @t196 () (tptp.f__integer__ @t189)) % 0.71/0.96 (define @t197 () (tptp.f__integer__ @t190)) % 0.71/0.96 (define @t198 () (tptp.f__integer__ (* @t190 @t189))) % 0.71/0.96 (define @t199 () (@list @t190 @t189)) % 0.71/0.96 (define @t200 () (>= @t193 2)) % 0.71/0.96 (define @t201 () (not (>= @t193 0))) % 0.71/0.96 (define @t202 () (tptp.f__integer__ @t193)) % 0.71/0.96 (define @t203 () (@list @t193)) % 0.71/0.96 (define @t204 () (not (= @t154 @t196))) % 0.71/0.96 (define @t205 () (not (= @t154 @t197))) % 0.71/0.96 (define @t206 () (not (= @t142 @t198))) % 0.71/0.96 (define @t207 () (or @t206 @t205 @t204)) % 0.71/0.96 (define @t208 () (forall @t199 @t207)) % 0.71/0.96 (define @t209 () (not (= @t154 @t202))) % 0.71/0.96 (define @t210 () (or @t209 @t201 @t200)) % 0.71/0.96 (define @t211 () (forall @t203 @t210)) % 0.71/0.96 (define @t212 () (or @t169 @t211 @t208 @t168)) % 0.71/0.96 (define @t213 () (forall @t187 @t212)) % 0.71/0.96 (define @t214 () (@var "BOUND_VARIABLE_7856" Int)) % 0.71/0.96 (define @t215 () (tptp.f__integer__ @t214)) % 0.71/0.96 (define @t216 () (@var "BOUND_VARIABLE_7845" Int)) % 0.71/0.96 (define @t217 () (tptp.f__integer__ @t216)) % 0.71/0.96 (define @t218 () (not (= @t217 @t215))) % 0.71/0.96 (define @t219 () (@var "BOUND_VARIABLE_7854" Int)) % 0.71/0.96 (define @t220 () (tptp.f__integer__ @t219)) % 0.71/0.96 (define @t221 () (not (= @t217 @t220))) % 0.71/0.96 (define @t222 () (>= @t216 2)) % 0.71/0.96 (define @t223 () (not (>= @t216 0))) % 0.71/0.96 (define @t224 () (tptp.f__integer__ (* @t219 @t214))) % 0.71/0.96 (define @t225 () (tptp.hp @t224)) % 0.71/0.96 (define @t226 () (or @t225 @t223 @t222 @t221 @t218)) % 0.71/0.96 (define @t227 () (not (= @t224 @t224))) % 0.71/0.96 (define @t228 () (or @t225 @t223 @t222 @t227 @t221 @t218)) % 0.71/0.96 (define @t229 () (@list @t216 @t219 @t214)) % 0.71/0.96 (define @t230 () (@var "BOUND_VARIABLE_7786" tptp.general)) % 0.71/0.96 (define @t231 () (not (= @t230 @t224))) % 0.71/0.96 (define @t232 () (tptp.hp @t230)) % 0.71/0.96 (define @t233 () (or @t231 @t232 @t223 @t222 @t231 @t221 @t218)) % 0.71/0.96 (define @t234 () (@list @t230)) % 0.71/0.96 (define @t235 () (or @t232 @t223 @t222 @t231 @t221 @t218)) % 0.71/0.96 (define @t236 () (forall @t234 @t235)) % 0.71/0.96 (define @t237 () (forall @t229 @t236)) % 0.71/0.96 (define @t238 () (forall (@list @t216 @t219 @t214 @t230) @t235)) % 0.71/0.96 (define @t239 () (@list @t230 @t216 @t219 @t214)) % 0.71/0.96 (define @t240 () (not (= @t217 @t217))) % 0.71/0.96 (define @t241 () (or @t232 @t240 @t223 @t222 @t231 @t221 @t218)) % 0.71/0.96 (define @t242 () (@var "BOUND_VARIABLE_7784" tptp.general)) % 0.71/0.96 (define @t243 () (not (= @t242 @t215))) % 0.71/0.96 (define @t244 () (not (= @t242 @t220))) % 0.71/0.96 (define @t245 () (not (= @t242 @t217))) % 0.71/0.96 (define @t246 () (or @t245 @t232 @t245 @t223 @t222 @t231 @t244 @t243)) % 0.71/0.96 (define @t247 () (@list @t242)) % 0.71/0.96 (define @t248 () (or @t232 @t245 @t223 @t222 @t231 @t244 @t243)) % 0.71/0.96 (define @t249 () (forall @t247 @t248)) % 0.71/0.96 (define @t250 () (forall @t239 @t249)) % 0.71/0.96 (define @t251 () (forall (@list @t230 @t216 @t219 @t214 @t242) @t248)) % 0.71/0.96 (define @t252 () (@list @t242 @t230 @t216 @t219 @t214)) % 0.71/0.96 (define @t253 () (not (= @t230 @t230))) % 0.71/0.96 (define @t254 () (or @t253 @t232 @t245 @t223 @t222 @t231 @t244 @t243)) % 0.71/0.96 (define @t255 () (@var "BOUND_VARIABLE_7782" tptp.general)) % 0.71/0.96 (define @t256 () (tptp.hp @t255)) % 0.71/0.96 (define @t257 () (not (= @t255 @t230))) % 0.71/0.96 (define @t258 () (or @t257 @t257 @t256 @t245 @t223 @t222 @t231 @t244 @t243)) % 0.71/0.96 (define @t259 () (@list @t255)) % 0.71/0.96 (define @t260 () (or @t257 @t256 @t245 @t223 @t222 @t231 @t244 @t243)) % 0.71/0.96 (define @t261 () (forall @t259 @t260)) % 0.71/0.96 (define @t262 () (forall @t252 @t261)) % 0.71/0.96 (define @t263 () (forall (@list @t242 @t230 @t216 @t219 @t214 @t255) @t260)) % 0.71/0.96 (define @t264 () (@list @t255 @t242 @t230 @t216 @t219 @t214)) % 0.71/0.96 (define @t265 () (not (= @t215 @t242))) % 0.71/0.96 (define @t266 () (not (= @t220 @t242))) % 0.71/0.96 (define @t267 () (not (= @t224 @t230))) % 0.71/0.96 (define @t268 () (not (= @t217 @t242))) % 0.71/0.96 (define @t269 () (or @t257 @t256 @t268 @t223 @t222 @t267 @t266 @t265)) % 0.71/0.96 (define @t270 () (or @t267 @t266 @t265)) % 0.71/0.96 (define @t271 () (or @t268 @t223 @t222)) % 0.71/0.96 (define @t272 () (or @t257 @t271 @t270 @t256)) % 0.71/0.96 (define @t273 () (forall @t264 @t272)) % 0.71/0.96 (define @t274 () (forall @t229 @t272)) % 0.71/0.96 (define @t275 () (@list @t255 @t242 @t230)) % 0.71/0.96 (define @t276 () (forall (@list @t219 @t214) @t270)) % 0.71/0.96 (define @t277 () (forall (@list @t216) @t271)) % 0.71/0.96 (define @t278 () (or @t257 @t277 @t276 @t256)) % 0.71/0.96 (define @t279 () (not (= @t242 @t196))) % 0.71/0.96 (define @t280 () (not (= @t242 @t197))) % 0.71/0.96 (define @t281 () (not (= @t230 @t198))) % 0.71/0.96 (define @t282 () (or @t281 @t280 @t279)) % 0.71/0.96 (define @t283 () (forall @t199 @t282)) % 0.71/0.96 (define @t284 () (not (= @t242 @t202))) % 0.71/0.96 (define @t285 () (or @t284 @t201 @t200)) % 0.71/0.96 (define @t286 () (forall @t203 @t285)) % 0.71/0.96 (define @t287 () (or @t257 @t286 @t283 @t256)) % 0.71/0.96 (define @t288 () (forall @t275 @t287)) % 0.71/0.96 (define @t289 () (not (= @t31 @t196))) % 0.71/0.96 (define @t290 () (not (= @t31 @t197))) % 0.71/0.96 (define @t291 () (not (= @t42 @t198))) % 0.71/0.96 (define @t292 () (or @t291 @t290 @t289)) % 0.71/0.96 (define @t293 () (forall @t199 @t292)) % 0.71/0.96 (define @t294 () (not (= @t31 @t202))) % 0.71/0.96 (define @t295 () (or @t294 @t201 @t200)) % 0.71/0.96 (define @t296 () (forall @t203 @t295)) % 0.71/0.96 (define @t297 () (not @t59)) % 0.71/0.96 (define @t298 () (or @t297 @t296 @t293 @t27)) % 0.71/0.96 (define @t299 () (forall @t65 @t298)) % 0.71/0.96 (define @t300 () (@list @t26 @t31 @t42)) % 0.71/0.96 (define @t301 () (or @t297 @t296 @t293 @t62)) % 0.71/0.96 (define @t302 () (forall @t65 @t301)) % 0.71/0.96 (define @t303 () (and @t302 @t299)) % 0.71/0.96 (define @t304 () (or @t297 @t296 @t293)) % 0.71/0.96 (define @t305 () (not @t293)) % 0.71/0.96 (define @t306 () (not @t305)) % 0.71/0.96 (define @t307 () (not @t296)) % 0.71/0.96 (define @t308 () (not @t307)) % 0.71/0.96 (define @t309 () (or @t297 @t308 @t306)) % 0.71/0.96 (define @t310 () (and @t59 @t307 @t305)) % 0.71/0.96 (define @t311 () (not @t310)) % 0.71/0.96 (define @t312 () (and (=> @t310 @t62) (=> @t310 @t27))) % 0.71/0.96 (define @t313 () (not (= @t42 @t42))) % 0.71/0.96 (define @t314 () (or @t313 @t291 @t290 @t289)) % 0.71/0.96 (define @t315 () (not (= @t28 @t198))) % 0.71/0.96 (define @t316 () (not (= @t42 @t28))) % 0.71/0.96 (define @t317 () (@list @t28)) % 0.71/0.96 (define @t318 () (or @t316 @t316 @t315 @t290 @t289)) % 0.71/0.96 (define @t319 () (or @t316 @t315 @t290 @t289)) % 0.71/0.96 (define @t320 () (forall @t317 @t319)) % 0.71/0.96 (define @t321 () (forall @t199 @t320)) % 0.71/0.96 (define @t322 () (forall (@list @t190 @t189 @t28) @t319)) % 0.71/0.96 (define @t323 () (@list @t28 @t190 @t189)) % 0.71/0.96 (define @t324 () (or @t313 @t316 @t315 @t290 @t289)) % 0.71/0.96 (define @t325 () (not @t30)) % 0.71/0.96 (define @t326 () (= @t42 @t29)) % 0.71/0.96 (define @t327 () (not @t326)) % 0.71/0.96 (define @t328 () (@list @t29)) % 0.71/0.96 (define @t329 () (or @t327 @t327 @t325 @t315 @t290 @t289)) % 0.71/0.96 (define @t330 () (or @t327 @t325 @t315 @t290 @t289)) % 0.71/0.96 (define @t331 () (forall @t328 @t330)) % 0.71/0.96 (define @t332 () (forall @t323 @t331)) % 0.71/0.96 (define @t333 () (forall (@list @t28 @t190 @t189 @t29) @t330)) % 0.71/0.96 (define @t334 () (@list @t29 @t28 @t190 @t189)) % 0.71/0.96 (define @t335 () (or @t315 @t290 @t289)) % 0.71/0.96 (define @t336 () (or @t327 @t335 @t325)) % 0.71/0.96 (define @t337 () (forall @t334 @t336)) % 0.71/0.96 (define @t338 () (forall @t199 @t336)) % 0.71/0.96 (define @t339 () (forall @t199 @t335)) % 0.71/0.96 (define @t340 () (or @t327 @t339 @t325)) % 0.71/0.96 (define @t341 () (= @t31 @t33)) % 0.71/0.96 (define @t342 () (not @t341)) % 0.71/0.96 (define @t343 () (= @t31 @t35)) % 0.71/0.96 (define @t344 () (not @t343)) % 0.71/0.96 (define @t345 () (* @t34 @t32)) % 0.71/0.96 (define @t346 () (= @t28 (tptp.f__integer__ @t345))) % 0.71/0.96 (define @t347 () (not @t346)) % 0.71/0.96 (define @t348 () (or @t347 @t344 @t342)) % 0.71/0.96 (define @t349 () (forall @t40 @t348)) % 0.71/0.96 (define @t350 () (not @t349)) % 0.71/0.96 (define @t351 () (not @t350)) % 0.71/0.96 (define @t352 () (or @t327 @t351 @t325)) % 0.71/0.96 (define @t353 () (and @t326 @t350 @t30)) % 0.71/0.96 (define @t354 () (forall @t45 (not @t353))) % 0.71/0.96 (define @t355 () (not @t354)) % 0.71/0.96 (define @t356 () (and @t346 @t343 @t341)) % 0.71/0.96 (define @t357 () (forall @t40 (not @t356))) % 0.71/0.96 (define @t358 () (not @t357)) % 0.71/0.96 (define @t359 () (not (= @t31 @t31))) % 0.71/0.96 (define @t360 () (or @t359 @t294 @t201 @t200)) % 0.71/0.96 (define @t361 () (not (= @t28 @t202))) % 0.71/0.96 (define @t362 () (not (= @t31 @t28))) % 0.71/0.96 (define @t363 () (not (= @t28 @t31))) % 0.71/0.96 (define @t364 () (or @t362 @t362 @t361 @t201 @t200)) % 0.71/0.96 (define @t365 () (or @t362 @t361 @t201 @t200)) % 0.71/0.96 (define @t366 () (forall @t317 @t365)) % 0.71/0.96 (define @t367 () (forall @t203 @t366)) % 0.71/0.96 (define @t368 () (forall (@list @t193 @t28) @t365)) % 0.71/0.96 (define @t369 () (@list @t28 @t193)) % 0.71/0.96 (define @t370 () (or @t359 @t362 @t361 @t201 @t200)) % 0.71/0.96 (define @t371 () (= @t31 @t29)) % 0.71/0.96 (define @t372 () (not @t371)) % 0.71/0.96 (define @t373 () (not @t56)) % 0.71/0.96 (define @t374 () (or @t372 @t372 @t325 @t361 @t201 @t200)) % 0.71/0.96 (define @t375 () (or @t372 @t325 @t361 @t201 @t200)) % 0.71/0.96 (define @t376 () (forall @t328 @t375)) % 0.71/0.96 (define @t377 () (forall @t369 @t376)) % 0.71/0.96 (define @t378 () (forall (@list @t28 @t193 @t29) @t375)) % 0.71/0.96 (define @t379 () (@list @t29 @t28 @t193)) % 0.71/0.96 (define @t380 () (or @t361 @t201 @t200)) % 0.71/0.96 (define @t381 () (or @t372 @t380 @t325)) % 0.71/0.96 (define @t382 () (forall @t379 @t381)) % 0.71/0.96 (define @t383 () (forall @t203 @t381)) % 0.71/0.96 (define @t384 () (forall @t203 @t380)) % 0.71/0.96 (define @t385 () (@list @t47)) % 0.71/0.96 (define @t386 () (or @t372 @t384 @t325)) % 0.71/0.96 (define @t387 () (>= @t47 2)) % 0.71/0.96 (define @t388 () (not (>= @t47 0))) % 0.71/0.96 (define @t389 () (not @t50)) % 0.71/0.96 (define @t390 () (or @t389 @t388 @t387)) % 0.71/0.96 (define @t391 () (@list @t47)) % 0.71/0.96 (define @t392 () (forall @t391 @t390)) % 0.71/0.96 (define @t393 () (not @t392)) % 0.71/0.96 (define @t394 () (not @t393)) % 0.71/0.96 (define @t395 () (or @t372 @t394 @t325)) % 0.71/0.96 (define @t396 () (and @t371 @t393 @t30)) % 0.71/0.96 (define @t397 () (forall @t45 (not @t396))) % 0.71/0.96 (define @t398 () (not @t397)) % 0.71/0.96 (define @t399 () (* -1 @t47)) % 0.71/0.96 (define @t400 () (+ 1 @t399)) % 0.71/0.96 (define @t401 () (+ @t47 1)) % 0.71/0.96 (define @t402 () (>= @t400 0)) % 0.71/0.96 (define @t403 () (not @t402)) % 0.71/0.96 (define @t404 () (= 1 1)) % 0.71/0.96 (define @t405 () (not @t404)) % 0.71/0.96 (define @t406 () (or @t405 @t389 @t388 @t403)) % 0.71/0.96 (define @t407 () (+ @t32 @t399)) % 0.71/0.96 (define @t408 () (>= @t407 0)) % 0.71/0.96 (define @t409 () (not @t408)) % 0.71/0.96 (define @t410 () (not @t51)) % 0.71/0.96 (define @t411 () (or @t410 @t410 @t389 @t388 @t409)) % 0.71/0.96 (define @t412 () (@list @t32)) % 0.71/0.96 (define @t413 () (or @t410 @t389 @t388 @t409)) % 0.71/0.96 (define @t414 () (forall @t412 @t413)) % 0.71/0.96 (define @t415 () (forall @t391 @t414)) % 0.71/0.96 (define @t416 () (@list @t47 @t32)) % 0.71/0.96 (define @t417 () (forall @t416 @t413)) % 0.71/0.96 (define @t418 () (@list @t32 @t47)) % 0.71/0.96 (define @t419 () (+ 0 @t399)) % 0.71/0.96 (define @t420 () (>= @t419 1)) % 0.71/0.96 (define @t421 () (= 0 0)) % 0.71/0.96 (define @t422 () (not @t421)) % 0.71/0.96 (define @t423 () (or @t422 @t410 @t389 @t420 @t409)) % 0.71/0.96 (define @t424 () (+ @t34 @t399)) % 0.71/0.96 (define @t425 () (>= @t424 1)) % 0.71/0.96 (define @t426 () (not @t52)) % 0.71/0.96 (define @t427 () (or @t426 @t426 @t410 @t389 @t425 @t409)) % 0.71/0.96 (define @t428 () (@list @t34)) % 0.71/0.96 (define @t429 () (or @t426 @t410 @t389 @t425 @t409)) % 0.71/0.96 (define @t430 () (forall @t428 @t429)) % 0.71/0.96 (define @t431 () (forall @t418 @t430)) % 0.71/0.96 (define @t432 () (@list @t32 @t47 @t34)) % 0.71/0.96 (define @t433 () (forall @t432 @t429)) % 0.71/0.96 (define @t434 () (not @t425)) % 0.71/0.96 (define @t435 () (not @t434)) % 0.71/0.96 (define @t436 () (or @t426 @t410 @t389 @t435 @t409)) % 0.71/0.96 (define @t437 () (or @t410 (or @t389 (or @t435 @t409)))) % 0.71/0.96 (define @t438 () (not (and @t51 @t50 @t434 @t408))) % 0.71/0.96 (define @t439 () (and @t52 @t51 @t50 @t434 @t408)) % 0.71/0.96 (define @t440 () (forall @t54 (not @t439))) % 0.71/0.96 (define @t441 () (not @t440)) % 0.71/0.96 (define @t442 () (>= @t34 @t401)) % 0.71/0.96 (define @t443 () (tptp.f__integer__ 0)) % 0.71/0.96 (define @t444 () (tptp.tp @t443)) % 0.71/0.96 (define @t445 () (not (= @t443 @t443))) % 0.71/0.96 (define @t446 () (>= 0 2)) % 0.71/0.96 (define @t447 () (>= 0 0)) % 0.71/0.96 (define @t448 () (not @t447)) % 0.71/0.96 (define @t449 () (* 0 0)) % 0.71/0.96 (define @t450 () (tptp.f__integer__ @t449)) % 0.71/0.96 (define @t451 () (tptp.tp @t450)) % 0.71/0.96 (define @t452 () (or @t451 @t448 @t446 @t445 @t445)) % 0.71/0.96 (define @t453 () (forall @t141 @t138)) % 0.71/0.96 (define @t454 () (@list 0 0 0)) % 0.71/0.96 (define @t455 () (@list false)) % 0.71/0.96 (define @t456 () (@list @t453)) % 0.71/0.96 (define @t457 () (= @t122 0)) % 0.71/0.96 (define @t458 () (= 0 @t122)) % 0.71/0.96 (define @t459 () (and @t444 @t457)) % 0.71/0.96 (define @t460 () (= @t112 @t116)) % 0.71/0.96 (define @t461 () (= @t117 @t460)) % 0.71/0.96 (define @t462 () (= @t112 @t111)) % 0.71/0.96 (define @t463 () (= @t114 @t462)) % 0.71/0.96 (define @t464 () (= @t116 0)) % 0.71/0.96 (define @t465 () (= (* 0 @t111) 0)) % 0.71/0.96 (define @t466 () (not @t464)) % 0.71/0.96 (define @t467 () (tptp.f__integer__ 1)) % 0.71/0.96 (define @t468 () (tptp.tp @t467)) % 0.71/0.96 (define @t469 () (not (= @t467 @t467))) % 0.71/0.96 (define @t470 () (>= 1 2)) % 0.71/0.96 (define @t471 () (>= 1 0)) % 0.71/0.96 (define @t472 () (not @t471)) % 0.71/0.96 (define @t473 () (* 1 1)) % 0.71/0.96 (define @t474 () (tptp.f__integer__ @t473)) % 0.71/0.96 (define @t475 () (tptp.tp @t474)) % 0.71/0.96 (define @t476 () (or @t475 @t472 @t470 @t469 @t469)) % 0.71/0.96 (define @t477 () (@list 1 1 1)) % 0.71/0.96 (define @t478 () (not @t468)) % 0.71/0.96 (define @t479 () (= @t122 1)) % 0.71/0.96 (define @t480 () (not @t479)) % 0.71/0.96 (define @t481 () (not @t124)) % 0.71/0.96 (define @t482 () (= 1 @t122)) % 0.71/0.96 (define @t483 () (= false true)) % 0.71/0.96 (define @t484 () (and @t468 @t482 @t481)) % 0.71/0.96 (define @t485 () (= @t111 -1)) % 0.71/0.96 (define @t486 () (= @t116 -1)) % 0.71/0.96 (define @t487 () (* -1 -1)) % 0.71/0.96 (define @t488 () (= @t487 1)) % 0.71/0.96 (define @t489 () (and @t485 @t486)) % 0.71/0.96 (define @t490 () (= @t111 1)) % 0.71/0.96 (define @t491 () (= @t116 1)) % 0.71/0.96 (define @t492 () (= @t473 1)) % 0.71/0.96 (define @t493 () (and @t490 @t491)) % 0.71/0.96 (define @t494 () (= @t112 1)) % 0.71/0.96 (define @t495 () (and @t462 @t494)) % 0.71/0.96 (define @t496 () (and @t460 @t494)) % 0.71/0.96 (define @t497 () (not @t494)) % 0.71/0.96 (define @t498 () (not @t462)) % 0.71/0.96 (define @t499 () (not @t460)) % 0.71/0.96 (define @t500 () (@list false false)) % 0.71/0.96 (define @t501 () (not @t497)) % 0.71/0.96 (define @t502 () (not @t466)) % 0.71/0.96 (define @t503 () (not @t119)) % 0.71/0.96 (define @t504 () (not @t503)) % 0.71/0.96 (define @t505 () (= @t112 -1)) % 0.71/0.96 (define @t506 () (not (= 0 @t112))) % 0.71/0.96 (define @t507 () (= (* 1 (- -1 @t112)) (* -1 (- @t112 -1)))) % 0.71/0.96 (define @t508 () (= -1 @t112)) % 0.71/0.96 (define @t509 () (= @t508 @t505)) % 0.71/0.96 (define @t510 () (and true true true true)) % 0.71/0.96 (define @t511 () (=> @t510 @t508)) % 0.71/0.96 (define @t512 () (and @t120 @t506 @t503 @t497)) % 0.71/0.96 (define @t513 () (=> @t512 @t508)) % 0.71/0.96 (define @t514 () (= @t112 0)) % 0.71/0.96 (define @t515 () (and @t120 @t503 @t460 @t462 @t466 @t497)) % 0.71/0.96 (define @t516 () (and @t120 @t503 @t460 @t466 @t497)) % 0.71/0.96 (define @t517 () (not @t125)) % 0.71/0.96 (define @t518 () (not @t110)) % 0.71/0.96 (define @t519 () (not (= @t106 @t106))) % 0.71/0.96 (define @t520 () (or @t107 @t105 @t104 @t519 @t103 @t100)) % 0.71/0.96 (define @t521 () (@var "BOUND_VARIABLE_8100" tptp.general)) % 0.71/0.96 (define @t522 () (not (= @t521 @t106))) % 0.71/0.96 (define @t523 () (tptp.tp @t521)) % 0.71/0.96 (define @t524 () (or @t522 @t523 @t105 @t104 @t522 @t103 @t100)) % 0.71/0.96 (define @t525 () (@list @t521)) % 0.71/0.96 (define @t526 () (or @t523 @t105 @t104 @t522 @t103 @t100)) % 0.71/0.96 (define @t527 () (forall @t525 @t526)) % 0.71/0.96 (define @t528 () (forall @t109 @t527)) % 0.71/0.96 (define @t529 () (forall (@list @t98 @t101 @t96 @t521) @t526)) % 0.71/0.96 (define @t530 () (@list @t521 @t98 @t101 @t96)) % 0.71/0.96 (define @t531 () (not (= @t99 @t99))) % 0.71/0.96 (define @t532 () (or @t523 @t531 @t105 @t104 @t522 @t103 @t100)) % 0.71/0.96 (define @t533 () (@var "BOUND_VARIABLE_8098" tptp.general)) % 0.71/0.96 (define @t534 () (not (= @t533 @t97))) % 0.71/0.96 (define @t535 () (not (= @t533 @t102))) % 0.71/0.96 (define @t536 () (not (= @t533 @t99))) % 0.71/0.96 (define @t537 () (or @t536 @t523 @t536 @t105 @t104 @t522 @t535 @t534)) % 0.71/0.96 (define @t538 () (@list @t533)) % 0.71/0.96 (define @t539 () (or @t523 @t536 @t105 @t104 @t522 @t535 @t534)) % 0.71/0.96 (define @t540 () (forall @t538 @t539)) % 0.71/0.96 (define @t541 () (forall @t530 @t540)) % 0.71/0.96 (define @t542 () (forall (@list @t521 @t98 @t101 @t96 @t533) @t539)) % 0.71/0.96 (define @t543 () (@list @t533 @t521 @t98 @t101 @t96)) % 0.71/0.96 (define @t544 () (not (= @t521 @t521))) % 0.71/0.96 (define @t545 () (or @t544 @t523 @t536 @t105 @t104 @t522 @t535 @t534)) % 0.71/0.96 (define @t546 () (@var "BOUND_VARIABLE_8096" tptp.general)) % 0.71/0.96 (define @t547 () (tptp.tp @t546)) % 0.71/0.96 (define @t548 () (not (= @t546 @t521))) % 0.71/0.96 (define @t549 () (or @t548 @t548 @t547 @t536 @t105 @t104 @t522 @t535 @t534)) % 0.71/0.96 (define @t550 () (@list @t546)) % 0.71/0.96 (define @t551 () (or @t548 @t547 @t536 @t105 @t104 @t522 @t535 @t534)) % 0.71/0.96 (define @t552 () (forall @t550 @t551)) % 0.71/0.96 (define @t553 () (forall @t543 @t552)) % 0.71/0.96 (define @t554 () (forall (@list @t533 @t521 @t98 @t101 @t96 @t546) @t551)) % 0.71/0.96 (define @t555 () (@list @t546 @t533 @t521 @t98 @t101 @t96)) % 0.71/0.96 (define @t556 () (not (= @t97 @t533))) % 0.71/0.96 (define @t557 () (not (= @t102 @t533))) % 0.71/0.96 (define @t558 () (not (= @t106 @t521))) % 0.71/0.96 (define @t559 () (not (= @t99 @t533))) % 0.71/0.96 (define @t560 () (or @t548 @t547 @t559 @t105 @t104 @t558 @t557 @t556)) % 0.71/0.96 (define @t561 () (or @t558 @t557 @t556)) % 0.71/0.96 (define @t562 () (or @t559 @t105 @t104)) % 0.71/0.96 (define @t563 () (or @t548 @t562 @t561 @t547)) % 0.71/0.96 (define @t564 () (forall @t555 @t563)) % 0.71/0.96 (define @t565 () (forall @t109 @t563)) % 0.71/0.96 (define @t566 () (@list @t546 @t533 @t521)) % 0.71/0.96 (define @t567 () (forall (@list @t101 @t96) @t561)) % 0.71/0.96 (define @t568 () (forall (@list @t98) @t562)) % 0.71/0.96 (define @t569 () (@var "BOUND_VARIABLE_8032" Int)) % 0.71/0.96 (define @t570 () (@list @t569)) % 0.71/0.96 (define @t571 () (or @t548 @t568 @t567 @t547)) % 0.71/0.96 (define @t572 () (>= @t569 2)) % 0.71/0.96 (define @t573 () (not (>= @t569 -1))) % 0.71/0.96 (define @t574 () (tptp.f__integer__ @t569)) % 0.71/0.96 (define @t575 () (@list @t569)) % 0.71/0.96 (define @t576 () (not (= @t533 @t196))) % 0.71/0.96 (define @t577 () (not (= @t533 @t197))) % 0.71/0.96 (define @t578 () (not (= @t521 @t198))) % 0.71/0.96 (define @t579 () (or @t578 @t577 @t576)) % 0.71/0.96 (define @t580 () (forall @t199 @t579)) % 0.71/0.96 (define @t581 () (not (= @t533 @t574))) % 0.71/0.96 (define @t582 () (or @t581 @t573 @t572)) % 0.71/0.96 (define @t583 () (forall @t575 @t582)) % 0.71/0.96 (define @t584 () (or @t548 @t583 @t580 @t547)) % 0.71/0.96 (define @t585 () (forall @t566 @t584)) % 0.71/0.96 (define @t586 () (not (= @t89 @t89))) % 0.71/0.96 (define @t587 () (or @t90 @t88 @t87 @t586 @t86 @t83)) % 0.71/0.96 (define @t588 () (@var "BOUND_VARIABLE_8076" tptp.general)) % 0.71/0.96 (define @t589 () (not (= @t588 @t89))) % 0.71/0.96 (define @t590 () (tptp.hp @t588)) % 0.71/0.96 (define @t591 () (or @t589 @t590 @t88 @t87 @t589 @t86 @t83)) % 0.71/0.96 (define @t592 () (@list @t588)) % 0.71/0.96 (define @t593 () (or @t590 @t88 @t87 @t589 @t86 @t83)) % 0.71/0.96 (define @t594 () (forall @t592 @t593)) % 0.71/0.96 (define @t595 () (forall @t92 @t594)) % 0.71/0.96 (define @t596 () (forall (@list @t81 @t84 @t79 @t588) @t593)) % 0.71/0.96 (define @t597 () (@list @t588 @t81 @t84 @t79)) % 0.71/0.96 (define @t598 () (not (= @t82 @t82))) % 0.71/0.96 (define @t599 () (or @t590 @t598 @t88 @t87 @t589 @t86 @t83)) % 0.71/0.96 (define @t600 () (@var "BOUND_VARIABLE_8074" tptp.general)) % 0.71/0.96 (define @t601 () (not (= @t600 @t80))) % 0.71/0.96 (define @t602 () (not (= @t600 @t85))) % 0.71/0.96 (define @t603 () (not (= @t600 @t82))) % 0.71/0.96 (define @t604 () (or @t603 @t590 @t603 @t88 @t87 @t589 @t602 @t601)) % 0.71/0.96 (define @t605 () (@list @t600)) % 0.71/0.96 (define @t606 () (or @t590 @t603 @t88 @t87 @t589 @t602 @t601)) % 0.71/0.96 (define @t607 () (forall @t605 @t606)) % 0.71/0.96 (define @t608 () (forall @t597 @t607)) % 0.71/0.96 (define @t609 () (forall (@list @t588 @t81 @t84 @t79 @t600) @t606)) % 0.71/0.96 (define @t610 () (@list @t600 @t588 @t81 @t84 @t79)) % 0.71/0.96 (define @t611 () (not (= @t588 @t588))) % 0.71/0.96 (define @t612 () (or @t611 @t590 @t603 @t88 @t87 @t589 @t602 @t601)) % 0.71/0.96 (define @t613 () (@var "BOUND_VARIABLE_8072" tptp.general)) % 0.71/0.96 (define @t614 () (tptp.hp @t613)) % 0.71/0.96 (define @t615 () (not (= @t613 @t588))) % 0.71/0.96 (define @t616 () (or @t615 @t615 @t614 @t603 @t88 @t87 @t589 @t602 @t601)) % 0.71/0.96 (define @t617 () (@list @t613)) % 0.71/0.96 (define @t618 () (or @t615 @t614 @t603 @t88 @t87 @t589 @t602 @t601)) % 0.71/0.96 (define @t619 () (forall @t617 @t618)) % 0.71/0.96 (define @t620 () (forall @t610 @t619)) % 0.71/0.96 (define @t621 () (forall (@list @t600 @t588 @t81 @t84 @t79 @t613) @t618)) % 0.71/0.96 (define @t622 () (@list @t613 @t600 @t588 @t81 @t84 @t79)) % 0.71/0.96 (define @t623 () (not (= @t80 @t600))) % 0.71/0.96 (define @t624 () (not (= @t85 @t600))) % 0.71/0.96 (define @t625 () (not (= @t89 @t588))) % 0.71/0.96 (define @t626 () (not (= @t82 @t600))) % 0.71/0.96 (define @t627 () (or @t615 @t614 @t626 @t88 @t87 @t625 @t624 @t623)) % 0.71/0.96 (define @t628 () (or @t625 @t624 @t623)) % 0.71/0.96 (define @t629 () (or @t626 @t88 @t87)) % 0.71/0.96 (define @t630 () (or @t615 @t629 @t628 @t614)) % 0.71/0.96 (define @t631 () (forall @t622 @t630)) % 0.71/0.96 (define @t632 () (forall @t92 @t630)) % 0.71/0.96 (define @t633 () (@list @t613 @t600 @t588)) % 0.71/0.96 (define @t634 () (forall (@list @t84 @t79) @t628)) % 0.71/0.96 (define @t635 () (forall (@list @t81) @t629)) % 0.71/0.96 (define @t636 () (or @t615 @t635 @t634 @t614)) % 0.71/0.96 (define @t637 () (not (= @t600 @t196))) % 0.71/0.96 (define @t638 () (not (= @t600 @t197))) % 0.71/0.96 (define @t639 () (not (= @t588 @t198))) % 0.71/0.96 (define @t640 () (or @t639 @t638 @t637)) % 0.71/0.96 (define @t641 () (forall @t199 @t640)) % 0.71/0.96 (define @t642 () (not (= @t600 @t574))) % 0.71/0.96 (define @t643 () (or @t642 @t573 @t572)) % 0.71/0.96 (define @t644 () (forall @t575 @t643)) % 0.71/0.96 (define @t645 () (or @t615 @t644 @t641 @t614)) % 0.71/0.96 (define @t646 () (forall @t633 @t645)) % 0.71/0.96 (define @t647 () (not (= @t31 @t574))) % 0.71/0.96 (define @t648 () (or @t647 @t573 @t572)) % 0.71/0.96 (define @t649 () (forall @t575 @t648)) % 0.71/0.96 (define @t650 () (or @t297 @t649 @t293 @t27)) % 0.71/0.96 (define @t651 () (forall @t65 @t650)) % 0.71/0.96 (define @t652 () (or @t297 @t649 @t293 @t62)) % 0.71/0.96 (define @t653 () (forall @t65 @t652)) % 0.71/0.96 (define @t654 () (and @t653 @t651)) % 0.71/0.96 (define @t655 () (or @t297 @t649 @t293)) % 0.71/0.96 (define @t656 () (not @t649)) % 0.71/0.96 (define @t657 () (not @t656)) % 0.71/0.96 (define @t658 () (or @t297 @t657 @t306)) % 0.71/0.96 (define @t659 () (and @t59 @t656 @t305)) % 0.71/0.96 (define @t660 () (not @t659)) % 0.71/0.96 (define @t661 () (and (=> @t659 @t62) (=> @t659 @t27))) % 0.71/0.96 (define @t662 () (or @t359 @t647 @t573 @t572)) % 0.71/0.96 (define @t663 () (not (= @t28 @t574))) % 0.71/0.96 (define @t664 () (or @t362 @t362 @t663 @t573 @t572)) % 0.71/0.96 (define @t665 () (or @t362 @t663 @t573 @t572)) % 0.71/0.96 (define @t666 () (forall @t317 @t665)) % 0.71/0.96 (define @t667 () (forall @t575 @t666)) % 0.71/0.96 (define @t668 () (forall (@list @t569 @t28) @t665)) % 0.71/0.96 (define @t669 () (@list @t28 @t569)) % 0.71/0.96 (define @t670 () (or @t359 @t362 @t663 @t573 @t572)) % 0.71/0.96 (define @t671 () (or @t372 @t372 @t325 @t663 @t573 @t572)) % 0.71/0.96 (define @t672 () (or @t372 @t325 @t663 @t573 @t572)) % 0.71/0.96 (define @t673 () (forall @t328 @t672)) % 0.71/0.96 (define @t674 () (forall @t669 @t673)) % 0.71/0.96 (define @t675 () (forall (@list @t28 @t569 @t29) @t672)) % 0.71/0.96 (define @t676 () (@list @t29 @t28 @t569)) % 0.71/0.96 (define @t677 () (or @t663 @t573 @t572)) % 0.71/0.96 (define @t678 () (or @t372 @t677 @t325)) % 0.71/0.96 (define @t679 () (forall @t676 @t678)) % 0.71/0.96 (define @t680 () (forall @t575 @t678)) % 0.71/0.96 (define @t681 () (forall @t575 @t677)) % 0.71/0.96 (define @t682 () (or @t372 @t681 @t325)) % 0.71/0.96 (define @t683 () (not (>= @t47 -1))) % 0.71/0.96 (define @t684 () (or @t389 @t683 @t387)) % 0.71/0.96 (define @t685 () (forall @t391 @t684)) % 0.71/0.96 (define @t686 () (not @t685)) % 0.71/0.96 (define @t687 () (not @t686)) % 0.71/0.96 (define @t688 () (or @t372 @t687 @t325)) % 0.71/0.96 (define @t689 () (and @t371 @t686 @t30)) % 0.71/0.96 (define @t690 () (forall @t45 (not @t689))) % 0.71/0.96 (define @t691 () (not @t690)) % 0.71/0.96 (define @t692 () (or @t405 @t389 @t683 @t403)) % 0.71/0.96 (define @t693 () (or @t410 @t410 @t389 @t683 @t409)) % 0.71/0.96 (define @t694 () (or @t410 @t389 @t683 @t409)) % 0.71/0.96 (define @t695 () (forall @t412 @t694)) % 0.71/0.96 (define @t696 () (forall @t391 @t695)) % 0.71/0.96 (define @t697 () (forall @t416 @t694)) % 0.71/0.96 (define @t698 () (+ -1 @t399)) % 0.71/0.96 (define @t699 () (>= @t698 1)) % 0.71/0.96 (define @t700 () (= -1 -1)) % 0.71/0.96 (define @t701 () (not @t700)) % 0.71/0.96 (define @t702 () (or @t701 @t410 @t389 @t699 @t409)) % 0.71/0.96 (define @t703 () (= @t34 -1)) % 0.71/0.96 (define @t704 () (not @t703)) % 0.71/0.96 (define @t705 () (or @t704 @t704 @t410 @t389 @t425 @t409)) % 0.71/0.96 (define @t706 () (or @t704 @t410 @t389 @t425 @t409)) % 0.71/0.96 (define @t707 () (forall @t428 @t706)) % 0.71/0.96 (define @t708 () (forall @t418 @t707)) % 0.71/0.96 (define @t709 () (forall @t432 @t706)) % 0.71/0.96 (define @t710 () (or @t704 @t410 @t389 @t435 @t409)) % 0.71/0.96 (define @t711 () (and @t703 @t51 @t50 @t434 @t408)) % 0.71/0.96 (define @t712 () (forall @t54 (not @t711))) % 0.71/0.96 (define @t713 () (not @t712)) % 0.71/0.96 (define @t714 () (not @t93)) % 0.71/0.96 (define @t715 () (@quantifiers_skolemize @t93 2)) % 0.71/0.96 (define @t716 () (tptp.f__integer__ @t95)) % 0.71/0.96 (define @t717 () (= @t716 (tptp.f__integer__ @t715))) % 0.71/0.96 (define @t718 () (not @t717)) % 0.71/0.96 (define @t719 () (= @t716 (tptp.f__integer__ @t94))) % 0.71/0.96 (define @t720 () (not @t719)) % 0.71/0.96 (define @t721 () (>= @t95 2)) % 0.71/0.96 (define @t722 () (>= @t95 -1)) % 0.71/0.96 (define @t723 () (not @t722)) % 0.71/0.96 (define @t724 () (* @t94 @t715)) % 0.71/0.96 (define @t725 () (tptp.f__integer__ @t724)) % 0.71/0.96 (define @t726 () (tptp.hp @t725)) % 0.71/0.96 (define @t727 () (or @t726 @t723 @t721 @t720 @t718)) % 0.71/0.96 (define @t728 () (not @t727)) % 0.71/0.96 (define @t729 () (@list true)) % 0.71/0.96 (define @t730 () (@list @t727)) % 0.71/0.96 (define @t731 () (= @t95 @t94)) % 0.71/0.96 (define @t732 () (= @t719 @t731)) % 0.71/0.96 (define @t733 () (= @t95 @t715)) % 0.71/0.96 (define @t734 () (= @t717 @t733)) % 0.71/0.96 (define @t735 () (not @t721)) % 0.71/0.96 (define @t736 () (tptp.hp @t443)) % 0.71/0.96 (define @t737 () (tptp.hp @t450)) % 0.71/0.96 (define @t738 () (or @t737 @t448 @t446 @t445 @t445)) % 0.71/0.96 (define @t739 () (forall @t229 @t226)) % 0.71/0.96 (define @t740 () (@list @t739)) % 0.71/0.96 (define @t741 () (not @t726)) % 0.71/0.96 (define @t742 () (= @t724 0)) % 0.71/0.96 (define @t743 () (not @t742)) % 0.71/0.96 (define @t744 () (not @t736)) % 0.71/0.96 (define @t745 () (not @t741)) % 0.71/0.96 (define @t746 () (= 0 @t724)) % 0.71/0.96 (define @t747 () (and @t736 @t746 @t741)) % 0.71/0.96 (define @t748 () (@list true false)) % 0.71/0.96 (define @t749 () (= @t715 0)) % 0.71/0.96 (define @t750 () (= (* @t94 0) 0)) % 0.71/0.96 (define @t751 () (not @t749)) % 0.71/0.96 (define @t752 () (= @t715 -1)) % 0.71/0.96 (define @t753 () (= @t94 1)) % 0.71/0.96 (define @t754 () (not @t733)) % 0.71/0.96 (define @t755 () (not @t731)) % 0.71/0.96 (define @t756 () (not @t753)) % 0.71/0.96 (define @t757 () (not @t756)) % 0.71/0.96 (define @t758 () (not @t751)) % 0.71/0.96 (define @t759 () (not @t735)) % 0.71/0.96 (define @t760 () (= -1 @t95)) % 0.71/0.96 (define @t761 () (not (= 0 @t95))) % 0.71/0.96 (define @t762 () (not (= 1 @t95))) % 0.71/0.96 (define @t763 () (= @t95 1)) % 0.71/0.96 (define @t764 () (= @t95 0)) % 0.71/0.96 (define @t765 () (and @t722 @t735 @t731 @t733 @t751 @t756)) % 0.71/0.96 (define @t766 () (= @t94 -1)) % 0.71/0.96 (define @t767 () (tptp.hp @t467)) % 0.71/0.96 (define @t768 () (tptp.hp @t474)) % 0.71/0.96 (define @t769 () (or @t768 @t472 @t470 @t469 @t469)) % 0.71/0.96 (define @t770 () (not @t767)) % 0.71/0.96 (define @t771 () (= @t724 1)) % 0.71/0.96 (define @t772 () (not @t771)) % 0.71/0.96 (define @t773 () (= 1 @t724)) % 0.71/0.96 (define @t774 () (and @t741 @t773 @t767)) % 0.71/0.96 (define @t775 () (and @t752 @t766)) % 0.71/0.96 (define @t776 () (not @t775)) % 0.71/0.96 (define @t777 () (@list @t771)) % 0.71/0.96 (define @t778 () (= @t715 1)) % 0.71/0.96 (define @t779 () (and @t778 @t753)) % 0.71/0.96 (define @t780 () (not @t779)) % 0.71/0.96 (define @t781 () (and @t731 @t733 @t753)) % 0.71/0.96 (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2))))) % 0.71/0.96 (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7)))))) % 0.71/0.96 (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__)))) % 0.71/0.96 (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9)))) % 0.71/0.96 (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14)))) % 0.71/0.96 (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9)))) % 0.71/0.96 (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17))) % 0.71/0.96 (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21)))) % 0.71/0.96 (assume @p9 (forall @t20 (or @t19 @t18))) % 0.71/0.96 (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22)))) % 0.71/0.96 (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18))) % 0.71/0.96 (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22)))) % 0.71/0.96 (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2))) % 0.71/0.96 (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24))) % 0.71/0.96 (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__))) % 0.71/0.96 (assume @p16 (forall (@list @t25) (=> (tptp.hp @t25) (tptp.tp @t25)))) % 0.71/0.96 (assume @p17 @t66) % 0.71/0.96 (assume @p18 @t78) % 0.71/0.96 (assume @p19 true) % 0.71/0.96 (step @p20 :rule instantiate :premises (@p4) :args ((@list @t95 @t94))) % 0.71/0.96 (step @p21 :rule cnf_or_neg :args (@t125 0)) % 0.71/0.96 (step @p22 :rule bool-double-not-elim :args (@t120)) % 0.71/0.96 (step @p23 :rule refl :args (@t125)) % 0.71/0.96 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t125 (not @t121)))) % 0.71/0.96 (step @p25 :rule cnf_or_neg :args (@t125 1)) % 0.71/0.96 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.71/0.96 (step @p27 :rule reordering :premises (@p26) :args ((or @t120 @t125))) % 0.71/0.96 (step @p28 :rule cnf_or_neg :args (@t125 2)) % 0.71/0.96 (step @p29 :rule bool-double-not-elim :args (@t117)) % 0.71/0.96 (step @p30 :rule nary_cong :premises (@p23 @p29) :args ((or @t125 (not @t118)))) % 0.71/0.96 (step @p31 :rule cnf_or_neg :args (@t125 3)) % 0.71/0.96 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.71/0.96 (step @p33 :rule reordering :premises (@p32) :args ((or @t117 @t125))) % 0.71/0.96 (step @p34 :rule bool-double-not-elim :args (@t114)) % 0.71/0.96 (step @p35 :rule nary_cong :premises (@p23 @p34) :args ((or @t125 (not @t115)))) % 0.71/0.96 (step @p36 :rule cnf_or_neg :args (@t125 4)) % 0.71/0.96 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.71/0.96 (step @p38 :rule reordering :premises (@p37) :args ((or @t114 @t125))) % 0.71/0.96 (step @p39 :rule aci_norm :args ((= (or @t137 @t135 @t134 false @t133 @t130) @t138))) % 0.71/0.96 (step @p40 :rule refl :args (@t130)) % 0.71/0.96 (step @p41 :rule refl :args (@t133)) % 0.71/0.96 (step @p42 :rule evaluate :args ((not true))) % 0.71/0.96 (step @p43 :rule eq-refl :args (@t136)) % 0.71/0.96 (step @p44 :rule cong :premises (@p43) :args (@t139)) % 0.71/0.96 (step @p45 :rule trans :premises (@p44 @p42)) % 0.71/0.96 (step @p46 :rule refl :args (@t134)) % 0.71/0.96 (step @p47 :rule refl :args (@t135)) % 0.71/0.96 (step @p48 :rule refl :args (@t137)) % 0.71/0.96 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46 @p45 @p41 @p40) :args (@t140)) % 0.71/0.96 (step @p50 :rule trans :premises (@p49 @p39)) % 0.71/0.96 (step @p51 :rule cong :premises (@p50) :args ((forall @t141 @t140))) % 0.71/0.96 (step @p52 :rule quant-var-elim-eq :args ((= (forall @t146 @t145) @t140))) % 0.71/0.96 (step @p53 :rule aci_norm :args ((= @t147 @t145))) % 0.71/0.96 (step @p54 :rule cong :premises (@p53) :args (@t148)) % 0.71/0.96 (step @p55 :rule trans :premises (@p54 @p52)) % 0.71/0.96 (step @p56 :rule cong :premises (@p55) :args (@t149)) % 0.71/0.96 (step @p57 :rule quant-merge-prenex :args ((= @t149 @t150))) % 0.71/0.96 (step @p58 :rule symm :premises (@p57)) % 0.71/0.96 (step @p59 :rule quant_var_reordering :args ((= (forall @t151 @t147) @t150))) % 0.71/0.96 (step @p60 :rule trans :premises (@p59 @p58 @p56)) % 0.71/0.96 (step @p61 :rule trans :premises (@p60 @p51)) % 0.71/0.96 (step @p62 :rule aci_norm :args ((= (or @t144 false @t135 @t134 @t143 @t133 @t130) @t147))) % 0.71/0.96 (step @p63 :rule refl :args (@t143)) % 0.71/0.96 (step @p64 :rule eq-refl :args (@t129)) % 0.71/0.96 (step @p65 :rule cong :premises (@p64) :args (@t152)) % 0.71/0.96 (step @p66 :rule trans :premises (@p65 @p42)) % 0.71/0.96 (step @p67 :rule refl :args (@t144)) % 0.71/0.96 (step @p68 :rule nary_cong :premises (@p67 @p66 @p47 @p46 @p63 @p41 @p40) :args (@t153)) % 0.71/0.96 (step @p69 :rule trans :premises (@p68 @p62)) % 0.71/0.96 (step @p70 :rule cong :premises (@p69) :args ((forall @t151 @t153))) % 0.71/0.96 (step @p71 :rule trans :premises (@p70 @p61)) % 0.71/0.96 (step @p72 :rule quant-var-elim-eq :args ((= (forall @t159 @t158) @t153))) % 0.71/0.96 (step @p73 :rule aci_norm :args ((= @t160 @t158))) % 0.71/0.96 (step @p74 :rule cong :premises (@p73) :args (@t161)) % 0.71/0.96 (step @p75 :rule trans :premises (@p74 @p72)) % 0.71/0.96 (step @p76 :rule cong :premises (@p75) :args (@t162)) % 0.71/0.96 (step @p77 :rule quant-merge-prenex :args ((= @t162 @t163))) % 0.71/0.96 (step @p78 :rule symm :premises (@p77)) % 0.71/0.96 (step @p79 :rule quant_var_reordering :args ((= (forall @t164 @t160) @t163))) % 0.71/0.96 (step @p80 :rule trans :premises (@p79 @p78 @p76)) % 0.71/0.96 (step @p81 :rule trans :premises (@p80 @p71)) % 0.71/0.96 (step @p82 :rule aci_norm :args ((= (or false @t144 @t157 @t135 @t134 @t143 @t156 @t155) @t160))) % 0.71/0.96 (step @p83 :rule refl :args (@t155)) % 0.71/0.96 (step @p84 :rule refl :args (@t156)) % 0.71/0.96 (step @p85 :rule refl :args (@t157)) % 0.71/0.96 (step @p86 :rule eq-refl :args (@t142)) % 0.71/0.96 (step @p87 :rule cong :premises (@p86) :args (@t165)) % 0.71/0.96 (step @p88 :rule trans :premises (@p87 @p42)) % 0.71/0.96 (step @p89 :rule nary_cong :premises (@p88 @p67 @p85 @p47 @p46 @p63 @p84 @p83) :args (@t166)) % 0.71/0.96 (step @p90 :rule trans :premises (@p89 @p82)) % 0.71/0.96 (step @p91 :rule cong :premises (@p90) :args ((forall @t164 @t166))) % 0.71/0.96 (step @p92 :rule trans :premises (@p91 @p81)) % 0.71/0.96 (step @p93 :rule quant-var-elim-eq :args ((= (forall @t171 @t170) @t166))) % 0.71/0.96 (step @p94 :rule aci_norm :args ((= @t172 @t170))) % 0.71/0.96 (step @p95 :rule cong :premises (@p94) :args (@t173)) % 0.71/0.96 (step @p96 :rule trans :premises (@p95 @p93)) % 0.71/0.96 (step @p97 :rule cong :premises (@p96) :args (@t174)) % 0.71/0.96 (step @p98 :rule quant-merge-prenex :args ((= @t174 @t175))) % 0.71/0.96 (step @p99 :rule symm :premises (@p98)) % 0.71/0.96 (step @p100 :rule quant_var_reordering :args ((= (forall @t176 @t172) @t175))) % 0.71/0.96 (step @p101 :rule trans :premises (@p100 @p99 @p97)) % 0.71/0.96 (step @p102 :rule trans :premises (@p101 @p92)) % 0.71/0.96 (step @p103 :rule eq-symm :args (@t127 @t154)) % 0.71/0.96 (step @p104 :rule cong :premises (@p103) :args (@t177)) % 0.71/0.96 (step @p105 :rule eq-symm :args (@t132 @t154)) % 0.71/0.96 (step @p106 :rule cong :premises (@p105) :args (@t178)) % 0.71/0.96 (step @p107 :rule eq-symm :args (@t136 @t142)) % 0.71/0.96 (step @p108 :rule cong :premises (@p107) :args (@t179)) % 0.71/0.96 (step @p109 :rule eq-symm :args (@t129 @t154)) % 0.71/0.96 (step @p110 :rule cong :premises (@p109) :args (@t180)) % 0.71/0.96 (step @p111 :rule refl :args (@t168)) % 0.71/0.96 (step @p112 :rule refl :args (@t169)) % 0.71/0.96 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p47 @p46 @p108 @p106 @p104) :args (@t181)) % 0.71/0.96 (step @p114 :rule aci_norm :args ((= @t184 @t181))) % 0.71/0.96 (step @p115 :rule trans :premises (@p114 @p113)) % 0.71/0.96 (step @p116 :rule cong :premises (@p115) :args (@t185)) % 0.71/0.96 (step @p117 :rule trans :premises (@p116 @p102)) % 0.71/0.96 (step @p118 :rule quant-merge-prenex :args ((= (forall @t187 @t186) @t185))) % 0.71/0.96 (step @p119 :rule refl :args (@t168)) % 0.71/0.96 (step @p120 :rule alpha_equiv :args (@t188 (@list @t131 @t126) @t191)) % 0.71/0.96 (step @p121 :rule alpha_equiv :args (@t192 (@list @t128) @t194)) % 0.71/0.96 (step @p122 :rule refl :args (@t169)) % 0.71/0.96 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120 @p119) :args (@t195)) % 0.71/0.96 (step @p124 :rule quant-miniscope-or :args ((= @t186 @t195))) % 0.71/0.96 (step @p125 :rule trans :premises (@p124 @p123)) % 0.71/0.96 (step @p126 :rule symm :premises (@p125)) % 0.71/0.96 (step @p127 :rule cong :premises (@p126) :args ((forall @t187 (or @t169 (forall @t203 (or (not (= @t202 @t154)) @t201 @t200)) (forall @t199 (or (not (= @t198 @t142)) (not (= @t197 @t154)) (not (= @t196 @t154)))) @t168)))) % 0.71/0.96 (step @p128 :rule trans :premises (@p127 @p118)) % 0.71/0.96 (step @p129 :rule trans :premises (@p128 @p117)) % 0.71/0.96 (step @p130 :rule eq-symm :args (@t154 @t196)) % 0.71/0.96 (step @p131 :rule cong :premises (@p130) :args (@t204)) % 0.71/0.96 (step @p132 :rule eq-symm :args (@t154 @t197)) % 0.71/0.96 (step @p133 :rule cong :premises (@p132) :args (@t205)) % 0.71/0.96 (step @p134 :rule eq-symm :args (@t142 @t198)) % 0.71/0.96 (step @p135 :rule cong :premises (@p134) :args (@t206)) % 0.71/0.96 (step @p136 :rule nary_cong :premises (@p135 @p133 @p131) :args (@t207)) % 0.71/0.96 (step @p137 :rule cong :premises (@p136) :args (@t208)) % 0.71/0.96 (step @p138 :rule refl :args (@t200)) % 0.71/0.96 (step @p139 :rule refl :args (@t201)) % 0.71/0.96 (step @p140 :rule eq-symm :args (@t154 @t202)) % 0.71/0.96 (step @p141 :rule cong :premises (@p140) :args (@t209)) % 0.71/0.96 (step @p142 :rule nary_cong :premises (@p141 @p139 @p138) :args (@t210)) % 0.71/0.96 (step @p143 :rule cong :premises (@p142) :args (@t211)) % 0.71/0.96 (step @p144 :rule nary_cong :premises (@p112 @p143 @p137 @p111) :args (@t212)) % 0.71/0.96 (step @p145 :rule cong :premises (@p144) :args (@t213)) % 0.71/0.96 (step @p146 :rule trans :premises (@p145 @p129)) % 0.71/0.96 (step @p147 :rule aci_norm :args ((= (or @t225 @t223 @t222 false @t221 @t218) @t226))) % 0.71/0.96 (step @p148 :rule refl :args (@t218)) % 0.71/0.96 (step @p149 :rule refl :args (@t221)) % 0.71/0.96 (step @p150 :rule eq-refl :args (@t224)) % 0.71/0.96 (step @p151 :rule cong :premises (@p150) :args (@t227)) % 0.71/0.96 (step @p152 :rule trans :premises (@p151 @p42)) % 0.71/0.96 (step @p153 :rule refl :args (@t222)) % 0.71/0.96 (step @p154 :rule refl :args (@t223)) % 0.71/0.96 (step @p155 :rule refl :args (@t225)) % 0.71/0.96 (step @p156 :rule nary_cong :premises (@p155 @p154 @p153 @p152 @p149 @p148) :args (@t228)) % 0.71/0.96 (step @p157 :rule trans :premises (@p156 @p147)) % 0.71/0.96 (step @p158 :rule cong :premises (@p157) :args ((forall @t229 @t228))) % 0.71/0.96 (step @p159 :rule quant-var-elim-eq :args ((= (forall @t234 @t233) @t228))) % 0.71/0.96 (step @p160 :rule aci_norm :args ((= @t235 @t233))) % 0.71/0.96 (step @p161 :rule cong :premises (@p160) :args (@t236)) % 0.71/0.96 (step @p162 :rule trans :premises (@p161 @p159)) % 0.71/0.96 (step @p163 :rule cong :premises (@p162) :args (@t237)) % 0.71/0.96 (step @p164 :rule quant-merge-prenex :args ((= @t237 @t238))) % 0.71/0.96 (step @p165 :rule symm :premises (@p164)) % 0.71/0.96 (step @p166 :rule quant_var_reordering :args ((= (forall @t239 @t235) @t238))) % 0.71/0.96 (step @p167 :rule trans :premises (@p166 @p165 @p163)) % 0.71/0.96 (step @p168 :rule trans :premises (@p167 @p158)) % 0.71/0.96 (step @p169 :rule aci_norm :args ((= (or @t232 false @t223 @t222 @t231 @t221 @t218) @t235))) % 0.71/0.96 (step @p170 :rule refl :args (@t231)) % 0.71/0.96 (step @p171 :rule eq-refl :args (@t217)) % 0.71/0.96 (step @p172 :rule cong :premises (@p171) :args (@t240)) % 0.71/0.96 (step @p173 :rule trans :premises (@p172 @p42)) % 0.71/0.96 (step @p174 :rule refl :args (@t232)) % 0.71/0.96 (step @p175 :rule nary_cong :premises (@p174 @p173 @p154 @p153 @p170 @p149 @p148) :args (@t241)) % 0.71/0.96 (step @p176 :rule trans :premises (@p175 @p169)) % 0.71/0.96 (step @p177 :rule cong :premises (@p176) :args ((forall @t239 @t241))) % 0.71/0.96 (step @p178 :rule trans :premises (@p177 @p168)) % 0.71/0.96 (step @p179 :rule quant-var-elim-eq :args ((= (forall @t247 @t246) @t241))) % 0.71/0.96 (step @p180 :rule aci_norm :args ((= @t248 @t246))) % 0.71/0.96 (step @p181 :rule cong :premises (@p180) :args (@t249)) % 0.71/0.96 (step @p182 :rule trans :premises (@p181 @p179)) % 0.71/0.96 (step @p183 :rule cong :premises (@p182) :args (@t250)) % 0.71/0.96 (step @p184 :rule quant-merge-prenex :args ((= @t250 @t251))) % 0.71/0.96 (step @p185 :rule symm :premises (@p184)) % 0.71/0.96 (step @p186 :rule quant_var_reordering :args ((= (forall @t252 @t248) @t251))) % 0.71/0.96 (step @p187 :rule trans :premises (@p186 @p185 @p183)) % 0.71/0.96 (step @p188 :rule trans :premises (@p187 @p178)) % 0.71/0.96 (step @p189 :rule aci_norm :args ((= (or false @t232 @t245 @t223 @t222 @t231 @t244 @t243) @t248))) % 0.71/0.96 (step @p190 :rule refl :args (@t243)) % 0.71/0.96 (step @p191 :rule refl :args (@t244)) % 0.71/0.96 (step @p192 :rule refl :args (@t245)) % 0.71/0.96 (step @p193 :rule eq-refl :args (@t230)) % 0.71/0.96 (step @p194 :rule cong :premises (@p193) :args (@t253)) % 0.71/0.96 (step @p195 :rule trans :premises (@p194 @p42)) % 0.71/0.96 (step @p196 :rule nary_cong :premises (@p195 @p174 @p192 @p154 @p153 @p170 @p191 @p190) :args (@t254)) % 0.71/0.96 (step @p197 :rule trans :premises (@p196 @p189)) % 0.71/0.96 (step @p198 :rule cong :premises (@p197) :args ((forall @t252 @t254))) % 0.71/0.96 (step @p199 :rule trans :premises (@p198 @p188)) % 0.71/0.96 (step @p200 :rule quant-var-elim-eq :args ((= (forall @t259 @t258) @t254))) % 0.71/0.96 (step @p201 :rule aci_norm :args ((= @t260 @t258))) % 0.71/0.96 (step @p202 :rule cong :premises (@p201) :args (@t261)) % 0.71/0.96 (step @p203 :rule trans :premises (@p202 @p200)) % 0.71/0.96 (step @p204 :rule cong :premises (@p203) :args (@t262)) % 0.71/0.96 (step @p205 :rule quant-merge-prenex :args ((= @t262 @t263))) % 0.71/0.96 (step @p206 :rule symm :premises (@p205)) % 0.71/0.96 (step @p207 :rule quant_var_reordering :args ((= (forall @t264 @t260) @t263))) % 0.71/0.96 (step @p208 :rule trans :premises (@p207 @p206 @p204)) % 0.71/0.96 (step @p209 :rule trans :premises (@p208 @p199)) % 0.71/0.96 (step @p210 :rule eq-symm :args (@t215 @t242)) % 0.71/0.96 (step @p211 :rule cong :premises (@p210) :args (@t265)) % 0.71/0.96 (step 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0.71/0.96 (step @p1546 :rule chain_m_resolution :premises (@p1545 @p1331) :args (@t767 @t455 @t740)) % 0.71/0.96 (step @p1547 :rule refl :args (@t770)) % 0.71/0.96 (step @p1548 :rule refl :args (@t772)) % 0.71/0.96 (step @p1549 :rule nary_cong :premises (@p1349 @p1548 @p1547) :args ((or @t745 @t772 @t770))) % 0.71/0.96 (assume-push @p1846 @t741) % 0.71/0.96 (assume-push @p1847 @t773) % 0.71/0.96 (assume-push @p1848 @t767) % 0.71/0.96 (step @p1553 :rule evaluate :args ((= true false))) % 0.71/0.96 (step @p1554 :rule false_intro :premises (@p1846)) % 0.71/0.96 (step @p1555 :rule cong :premises (@p1847) :args (@t467)) % 0.71/0.96 (step @p1556 :rule cong :premises (@p1555) :args (@t767)) % 0.71/0.96 (step @p1557 :rule true_intro :premises (@p1546)) % 0.71/0.96 (step @p1558 :rule symm :premises (@p1557)) % 0.71/0.96 (step @p1559 :rule trans :premises (@p1558 @p1556 @p1554)) % 0.71/0.96 (step @p1560 false :rule eq_resolve :premises (@p1559 @p1553)) % 0.71/0.96 (step-pop @p1849 :rule scope :premises (@p1560)) % 0.71/0.96 (step-pop @p1850 :rule scope :premises (@p1849)) % 0.71/0.96 (step-pop @p1851 :rule scope :premises (@p1850)) % 0.71/0.96 (step @p1561 :rule process_scope :premises (@p1851) :args (false)) % 0.71/0.96 (assume-push @p1852 @t741) % 0.71/0.96 (assume-push @p1853 @t771) % 0.71/0.96 (assume-push @p1854 @t767) % 0.71/0.96 (assume-push @p1855 @t771) % 0.71/0.96 (step @p1569 :rule symm :premises (@p1853)) % 0.71/0.96 (step-pop @p1856 :rule scope :premises (@p1569)) % 0.71/0.96 (step @p1570 :rule process_scope :premises (@p1856) :args (@t773)) % 0.71/0.96 (step @p1572 :rule modus_ponens :premises (@p1853 @p1570)) % 0.71/0.96 (step @p1573 :rule and_intro :premises (@p1852 @p1572 @p1546)) % 0.71/0.96 (step-pop @p1857 :rule scope :premises (@p1573)) % 0.71/0.96 (step-pop @p1858 :rule scope :premises (@p1857)) % 0.71/0.96 (step-pop @p1859 :rule scope :premises (@p1858)) % 0.71/0.96 (step @p1574 :rule process_scope :premises (@p1859) :args (@t774)) % 0.71/0.96 (step @p1578 :rule implies_elim :premises (@p1574)) % 0.71/0.96 (step @p1579 :rule resolution :premises (@p1578 @p1561) :args (true @t774)) % 0.71/0.96 (step @p1580 :rule not_and :premises (@p1579)) % 0.71/0.96 (step @p1581 :rule eq_resolve :premises (@p1580 @p1549)) % 0.71/0.96 (step @p1582 :rule chain_m_resolution :premises (@p1581 @p1346 @p1546) :args (@t772 @t748 (@list @t726 @t767))) % 0.71/0.96 (assume-push @p1860 @t752) % 0.71/0.96 (assume-push @p1861 @t766) % 0.71/0.96 (step @p700 :rule evaluate :args (@t487)) % 0.71/0.96 (step @p701 :rule cong :premises (@p700 @p496) :args (@t488)) % 0.71/0.96 (step @p702 :rule trans :premises (@p701 @p473)) % 0.71/0.96 (step @p1585 :rule nary_cong :premises (@p1861 @p1860) :args (@t724)) % 0.71/0.96 (step @p1586 :rule cong :premises (@p1585 @p496) :args (@t771)) % 0.71/0.96 (step @p1587 :rule trans :premises (@p1586 @p702)) % 0.71/0.96 (step @p1588 :rule true_elim :premises (@p1587)) % 0.71/0.96 (step-pop @p1862 :rule scope :premises (@p1588)) % 0.71/0.96 (step-pop @p1863 :rule scope :premises (@p1862)) % 0.71/0.96 (step @p1589 :rule process_scope :premises (@p1863) :args (@t771)) % 0.71/0.96 (step @p1592 :rule implies_elim :premises (@p1589)) % 0.71/0.96 (step @p1593 :rule reordering :premises (@p1592) :args ((or @t771 @t776))) % 0.71/0.96 (step @p1594 :rule chain_m_resolution :premises (@p1593 @p1582) :args (@t776 @t729 @t777)) % 0.71/0.96 (step @p1595 :rule cnf_and_neg :args (@t775)) % 0.71/0.96 (step @p1596 :rule chain_m_resolution :premises (@p1595 @p1594 @p1534 @p1397 @p1322 @p1312 @p1330 @p1328 @p1480 @p1397 @p1322 @p1312 @p1330 @p1328) :args (@t753 (@list true false true false false true false false true false false true false) (@list @t775 @t766 @t749 @t733 @t731 @t721 @t722 @t752 @t749 @t733 @t731 @t721 @t722))) % 0.71/0.96 (assume-push @p1864 @t778) % 0.71/0.96 (assume-push @p1865 @t753) % 0.71/0.96 (step @p714 :rule cong :premises (@p648 @p496) :args (@t492)) % 0.71/0.96 (step @p715 :rule trans :premises (@p714 @p473)) % 0.71/0.96 (step @p1599 :rule nary_cong :premises (@p1865 @p1864) :args (@t724)) % 0.71/0.96 (step @p1600 :rule cong :premises (@p1599 @p496) :args (@t771)) % 0.71/0.96 (step @p1601 :rule trans :premises (@p1600 @p715)) % 0.71/0.96 (step @p1602 :rule true_elim :premises (@p1601)) % 0.71/0.96 (step-pop @p1866 :rule scope :premises (@p1602)) % 0.71/0.96 (step-pop @p1867 :rule scope :premises (@p1866)) % 0.71/0.96 (step @p1603 :rule process_scope :premises (@p1867) :args (@t771)) % 0.71/0.96 (step @p1606 :rule implies_elim :premises (@p1603)) % 0.71/0.96 (step @p1607 :rule reordering :premises (@p1606) :args ((or @t771 @t780))) % 0.71/0.96 (step @p1608 :rule chain_m_resolution :premises (@p1607 @p1582) :args (@t780 @t729 @t777)) % 0.71/0.96 (step @p1609 :rule cnf_and_neg :args (@t779)) % 0.71/0.96 (step @p1610 :rule chain_m_resolution :premises (@p1609 @p1608 @p1596) :args ((not @t778) @t748 (@list @t779 @t753))) % 0.71/0.96 (assume-push @p1868 @t731) % 0.71/0.96 (assume-push @p1869 @t733) % 0.71/0.96 (assume-push @p1870 @t753) % 0.71/0.96 (assume-push @p1871 @t753) % 0.71/0.96 (assume-push @p1872 @t731) % 0.71/0.96 (assume-push @p1873 @t733) % 0.71/0.96 (step @p1617 :rule symm :premises (@p1869)) % 0.71/0.96 (step @p1618 :rule trans :premises (@p1617 @p1868 @p1870)) % 0.71/0.96 (step-pop @p1874 :rule scope :premises (@p1618)) % 0.71/0.96 (step-pop @p1875 :rule scope :premises (@p1874)) % 0.71/0.96 (step-pop @p1876 :rule scope :premises (@p1875)) % 0.71/0.96 (step @p1619 :rule process_scope :premises (@p1876) :args (@t778)) % 0.71/0.96 (step @p1623 :rule and_intro :premises (@p1870 @p1868 @p1869)) % 0.71/0.96 (step @p1624 :rule modus_ponens :premises (@p1623 @p1619)) % 0.71/0.96 (step-pop @p1877 :rule scope :premises (@p1624)) % 0.71/0.96 (step-pop @p1878 :rule scope :premises (@p1877)) % 0.71/0.96 (step-pop @p1879 :rule scope :premises (@p1878)) % 0.71/0.96 (step @p1625 :rule process_scope :premises (@p1879) :args (@t778)) % 0.71/0.96 (step @p1629 :rule implies_elim :premises (@p1625)) % 0.71/0.96 (step @p1630 :rule cnf_and_neg :args (@t781)) % 0.71/0.96 (step @p1631 :rule resolution :premises (@p1630 @p1629) :args (true @t781)) % 0.71/0.96 (step @p1632 :rule reordering :premises (@p1631) :args ((or @t755 @t754 @t778 @t756))) % 0.71/0.96 (step @p1633 false :rule chain_m_resolution :premises (@p1632 @p1610 @p1596 @p1322 @p1312) :args (false (@list true false false false) (@list @t778 @t753 @t733 @t731))) % 0.71/0.96 ) % 0.71/0.96 % SZS output end Proof % 0.71/0.96 % cvc5 exiting %------------------------------------------------------------------------------