%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL642+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:14 AM UTC 2026 % Result : Theorem 126.87s 128.33s % Output : Proof 126.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL642+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.09/0.36 % Computer : n026.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 04:55:10 UTC 2026 % 0.09/0.36 % CPUTime : % 0.09/0.44 %----Proving TF0_NAR, FOF, or CNF % 126.87/128.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 126.87/128.33 --- Run --no-e-matching --full-saturate-quant at 6... % 126.87/128.33 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 126.87/128.33 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 126.87/128.33 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 126.87/128.33 --- Run --trigger-sel=max --full-saturate-quant at 15... % 126.87/128.33 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 126.87/128.33 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.87/128.33 --- Run --prenex-quant=none --full-saturate-quant at 30... % 126.87/128.33 % SZS status Theorem % 126.87/128.33 % SZS output start Proof % 126.87/128.33 ( % 126.87/128.33 (declare-sort $$unsorted 0) % 126.87/128.33 (declare-const tptp.p4 (-> $$unsorted Bool)) % 126.87/128.33 (declare-const tptp.p3 (-> $$unsorted Bool)) % 126.87/128.33 (declare-const tptp.p1 (-> $$unsorted Bool)) % 126.87/128.33 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 126.87/128.33 (declare-const tptp.p2 (-> $$unsorted Bool)) % 126.87/128.33 (define @t1 () (@var "Y" $$unsorted)) % 126.87/128.33 (define @t2 () (tptp.p2 @t1)) % 126.87/128.33 (define @t3 () (not @t2)) % 126.87/128.33 (define @t4 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t5 () (tptp.p2 @t4)) % 126.87/128.33 (define @t6 () (@list @t4)) % 126.87/128.33 (define @t7 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t8 () (@list @t1)) % 126.87/128.33 (define @t9 () (forall @t8 (or (not (tptp.r1 @t7 @t1)) (forall @t6 (or (not (tptp.r1 @t1 @t4)) @t5)) @t3))) % 126.87/128.33 (define @t10 () (not @t9)) % 126.87/128.33 (define @t11 () (tptp.p2 @t7)) % 126.87/128.33 (define @t12 () (not (tptp.r1 @t1 @t7))) % 126.87/128.33 (define @t13 () (or @t12 @t11 @t10)) % 126.87/128.33 (define @t14 () (@list @t7)) % 126.87/128.33 (define @t15 () (forall @t14 @t13)) % 126.87/128.33 (define @t16 () (not @t15)) % 126.87/128.33 (define @t17 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t18 () (not (tptp.r1 @t17 @t1))) % 126.87/128.33 (define @t19 () (or @t18 @t2 @t16)) % 126.87/128.33 (define @t20 () (forall @t8 @t19)) % 126.87/128.33 (define @t21 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t22 () (not (tptp.r1 @t21 @t1))) % 126.87/128.33 (define @t23 () (or @t22 false)) % 126.87/128.33 (define @t24 () (forall @t8 @t23)) % 126.87/128.33 (define @t25 () (tptp.p1 @t21)) % 126.87/128.33 (define @t26 () (or @t25 @t24)) % 126.87/128.33 (define @t27 () (not @t26)) % 126.87/128.33 (define @t28 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t29 () (not (tptp.r1 @t1 @t28))) % 126.87/128.33 (define @t30 () (or @t29 false)) % 126.87/128.33 (define @t31 () (@list @t28)) % 126.87/128.33 (define @t32 () (forall @t31 @t30)) % 126.87/128.33 (define @t33 () (tptp.p1 @t1)) % 126.87/128.33 (define @t34 () (or @t22 @t33 @t32)) % 126.87/128.33 (define @t35 () (forall @t8 @t34)) % 126.87/128.33 (define @t36 () (not (tptp.r1 @t1 @t21))) % 126.87/128.33 (define @t37 () (or @t36 @t35 @t27)) % 126.87/128.33 (define @t38 () (@list @t21)) % 126.87/128.33 (define @t39 () (forall @t38 @t37)) % 126.87/128.33 (define @t40 () (not @t39)) % 126.87/128.33 (define @t41 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t42 () (not (tptp.r1 @t1 @t41))) % 126.87/128.33 (define @t43 () (or @t42 false)) % 126.87/128.33 (define @t44 () (@list @t41)) % 126.87/128.33 (define @t45 () (forall @t44 @t43)) % 126.87/128.33 (define @t46 () (or @t18 @t33 @t45 @t40)) % 126.87/128.33 (define @t47 () (forall @t8 @t46)) % 126.87/128.33 (define @t48 () (not @t47)) % 126.87/128.33 (define @t49 () (or @t18 false)) % 126.87/128.33 (define @t50 () (forall @t8 @t49)) % 126.87/128.33 (define @t51 () (tptp.p1 @t17)) % 126.87/128.33 (define @t52 () (or @t51 @t50 @t48)) % 126.87/128.33 (define @t53 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t54 () (not (tptp.r1 @t53 @t1))) % 126.87/128.33 (define @t55 () (or @t54 false)) % 126.87/128.33 (define @t56 () (forall @t8 @t55)) % 126.87/128.33 (define @t57 () (tptp.p1 @t53)) % 126.87/128.33 (define @t58 () (tptp.p2 @t53)) % 126.87/128.33 (define @t59 () (or @t58 @t57 @t56)) % 126.87/128.33 (define @t60 () (not @t59)) % 126.87/128.33 (define @t61 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t62 () (not (tptp.r1 @t1 @t61))) % 126.87/128.33 (define @t63 () (or @t62 false)) % 126.87/128.33 (define @t64 () (@list @t61)) % 126.87/128.33 (define @t65 () (forall @t64 @t63)) % 126.87/128.33 (define @t66 () (or @t54 @t2 @t33 @t65)) % 126.87/128.33 (define @t67 () (forall @t8 @t66)) % 126.87/128.33 (define @t68 () (not (tptp.r1 @t1 @t53))) % 126.87/128.33 (define @t69 () (or @t68 @t67 @t60)) % 126.87/128.33 (define @t70 () (@list @t53)) % 126.87/128.33 (define @t71 () (forall @t70 @t69)) % 126.87/128.33 (define @t72 () (not @t71)) % 126.87/128.33 (define @t73 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t74 () (not (tptp.r1 @t1 @t73))) % 126.87/128.33 (define @t75 () (or @t74 false)) % 126.87/128.33 (define @t76 () (@list @t73)) % 126.87/128.33 (define @t77 () (forall @t76 @t75)) % 126.87/128.33 (define @t78 () (or @t18 @t2 @t33 @t77 @t72)) % 126.87/128.33 (define @t79 () (forall @t8 @t78)) % 126.87/128.33 (define @t80 () (not @t79)) % 126.87/128.33 (define @t81 () (tptp.p2 @t17)) % 126.87/128.33 (define @t82 () (or @t81 @t51 @t50 @t80)) % 126.87/128.33 (define @t83 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t84 () (not (tptp.r1 @t83 @t1))) % 126.87/128.33 (define @t85 () (or @t84 false)) % 126.87/128.33 (define @t86 () (forall @t8 @t85)) % 126.87/128.33 (define @t87 () (tptp.p1 @t83)) % 126.87/128.33 (define @t88 () (tptp.p2 @t83)) % 126.87/128.33 (define @t89 () (tptp.p3 @t83)) % 126.87/128.33 (define @t90 () (or @t89 @t88 @t87 @t86)) % 126.87/128.33 (define @t91 () (not @t90)) % 126.87/128.33 (define @t92 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t93 () (not (tptp.r1 @t1 @t92))) % 126.87/128.33 (define @t94 () (or @t93 false)) % 126.87/128.33 (define @t95 () (@list @t92)) % 126.87/128.33 (define @t96 () (forall @t95 @t94)) % 126.87/128.33 (define @t97 () (tptp.p3 @t1)) % 126.87/128.33 (define @t98 () (or @t84 @t97 @t2 @t33 @t96)) % 126.87/128.33 (define @t99 () (forall @t8 @t98)) % 126.87/128.33 (define @t100 () (not (tptp.r1 @t1 @t83))) % 126.87/128.33 (define @t101 () (or @t100 @t99 @t91)) % 126.87/128.33 (define @t102 () (@list @t83)) % 126.87/128.33 (define @t103 () (forall @t102 @t101)) % 126.87/128.33 (define @t104 () (not @t103)) % 126.87/128.33 (define @t105 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t106 () (not (tptp.r1 @t1 @t105))) % 126.87/128.33 (define @t107 () (or @t106 false)) % 126.87/128.33 (define @t108 () (@list @t105)) % 126.87/128.33 (define @t109 () (forall @t108 @t107)) % 126.87/128.33 (define @t110 () (or @t18 @t97 @t2 @t33 @t109 @t104)) % 126.87/128.33 (define @t111 () (forall @t8 @t110)) % 126.87/128.33 (define @t112 () (not @t111)) % 126.87/128.33 (define @t113 () (tptp.p3 @t17)) % 126.87/128.33 (define @t114 () (or @t113 @t81 @t51 @t50 @t112)) % 126.87/128.33 (define @t115 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t116 () (not (tptp.r1 @t115 @t1))) % 126.87/128.33 (define @t117 () (or @t116 false)) % 126.87/128.33 (define @t118 () (forall @t8 @t117)) % 126.87/128.33 (define @t119 () (tptp.p1 @t115)) % 126.87/128.33 (define @t120 () (tptp.p2 @t115)) % 126.87/128.33 (define @t121 () (tptp.p3 @t115)) % 126.87/128.33 (define @t122 () (tptp.p4 @t115)) % 126.87/128.33 (define @t123 () (or @t122 @t121 @t120 @t119 @t118)) % 126.87/128.33 (define @t124 () (not @t123)) % 126.87/128.33 (define @t125 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t126 () (not (tptp.r1 @t1 @t125))) % 126.87/128.33 (define @t127 () (or @t126 false)) % 126.87/128.33 (define @t128 () (@list @t125)) % 126.87/128.33 (define @t129 () (forall @t128 @t127)) % 126.87/128.33 (define @t130 () (tptp.p4 @t1)) % 126.87/128.33 (define @t131 () (or @t116 @t130 @t97 @t2 @t33 @t129)) % 126.87/128.33 (define @t132 () (forall @t8 @t131)) % 126.87/128.33 (define @t133 () (not (tptp.r1 @t1 @t115))) % 126.87/128.33 (define @t134 () (or @t133 @t132 @t124)) % 126.87/128.33 (define @t135 () (@list @t115)) % 126.87/128.33 (define @t136 () (forall @t135 @t134)) % 126.87/128.33 (define @t137 () (not @t136)) % 126.87/128.33 (define @t138 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t139 () (not (tptp.r1 @t1 @t138))) % 126.87/128.33 (define @t140 () (or @t139 false)) % 126.87/128.33 (define @t141 () (@list @t138)) % 126.87/128.33 (define @t142 () (forall @t141 @t140)) % 126.87/128.33 (define @t143 () (or @t18 @t130 @t97 @t2 @t33 @t142 @t137)) % 126.87/128.33 (define @t144 () (forall @t8 @t143)) % 126.87/128.33 (define @t145 () (not @t144)) % 126.87/128.33 (define @t146 () (tptp.p4 @t17)) % 126.87/128.33 (define @t147 () (or @t146 @t113 @t81 @t51 @t50 @t145)) % 126.87/128.33 (define @t148 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t149 () (tptp.p2 @t148)) % 126.87/128.33 (define @t150 () (@list @t148)) % 126.87/128.33 (define @t151 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t152 () (not (tptp.r1 @t151 @t1))) % 126.87/128.33 (define @t153 () (forall @t8 (or @t152 (forall @t150 (or (not (tptp.r1 @t1 @t148)) @t149)) @t3))) % 126.87/128.33 (define @t154 () (not @t153)) % 126.87/128.33 (define @t155 () (tptp.p2 @t151)) % 126.87/128.33 (define @t156 () (or @t155 @t154)) % 126.87/128.33 (define @t157 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t158 () (not (tptp.p2 @t157))) % 126.87/128.33 (define @t159 () (forall @t8 (or (not (tptp.r1 @t157 @t1)) @t2))) % 126.87/128.33 (define @t160 () (not (tptp.r1 @t1 @t157))) % 126.87/128.33 (define @t161 () (or @t160 @t159 @t158)) % 126.87/128.33 (define @t162 () (@list @t157)) % 126.87/128.33 (define @t163 () (forall @t162 @t161)) % 126.87/128.33 (define @t164 () (not @t163)) % 126.87/128.33 (define @t165 () (or @t152 @t2 @t164)) % 126.87/128.33 (define @t166 () (forall @t8 @t165)) % 126.87/128.33 (define @t167 () (not @t166)) % 126.87/128.33 (define @t168 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t169 () (tptp.p2 @t168)) % 126.87/128.33 (define @t170 () (@list @t168)) % 126.87/128.33 (define @t171 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t172 () (forall @t8 (or (not (tptp.r1 @t171 @t1)) (forall @t170 (or (not (tptp.r1 @t1 @t168)) @t169)) @t3))) % 126.87/128.33 (define @t173 () (not @t172)) % 126.87/128.33 (define @t174 () (tptp.p2 @t171)) % 126.87/128.33 (define @t175 () (not (tptp.r1 @t1 @t171))) % 126.87/128.33 (define @t176 () (or @t175 @t174 @t173)) % 126.87/128.33 (define @t177 () (@list @t171)) % 126.87/128.33 (define @t178 () (forall @t177 @t176)) % 126.87/128.33 (define @t179 () (or @t152 @t178)) % 126.87/128.33 (define @t180 () (forall @t8 @t179)) % 126.87/128.33 (define @t181 () (or @t180 @t167)) % 126.87/128.33 (define @t182 () (and @t181 @t156)) % 126.87/128.33 (define @t183 () (not @t182)) % 126.87/128.33 (define @t184 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t185 () (not (tptp.p2 @t184))) % 126.87/128.33 (define @t186 () (forall @t8 (or (not (tptp.r1 @t184 @t1)) @t2))) % 126.87/128.33 (define @t187 () (not (tptp.r1 @t1 @t184))) % 126.87/128.33 (define @t188 () (or @t187 @t186 @t185)) % 126.87/128.33 (define @t189 () (@list @t184)) % 126.87/128.33 (define @t190 () (forall @t189 @t188)) % 126.87/128.33 (define @t191 () (not @t190)) % 126.87/128.33 (define @t192 () (or @t2 @t191)) % 126.87/128.33 (define @t193 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t194 () (tptp.p2 @t193)) % 126.87/128.33 (define @t195 () (@list @t193)) % 126.87/128.33 (define @t196 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t197 () (forall @t8 (or (not (tptp.r1 @t196 @t1)) (forall @t195 (or (not (tptp.r1 @t1 @t193)) @t194)) @t3))) % 126.87/128.33 (define @t198 () (not @t197)) % 126.87/128.33 (define @t199 () (tptp.p2 @t196)) % 126.87/128.33 (define @t200 () (not (tptp.r1 @t1 @t196))) % 126.87/128.33 (define @t201 () (or @t200 @t199 @t198)) % 126.87/128.33 (define @t202 () (@list @t196)) % 126.87/128.33 (define @t203 () (forall @t202 @t201)) % 126.87/128.33 (define @t204 () (not @t203)) % 126.87/128.33 (define @t205 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t206 () (not (tptp.p2 @t205))) % 126.87/128.33 (define @t207 () (forall @t8 (or (not (tptp.r1 @t205 @t1)) @t2))) % 126.87/128.33 (define @t208 () (not (tptp.r1 @t1 @t205))) % 126.87/128.33 (define @t209 () (or @t208 @t207 @t206)) % 126.87/128.33 (define @t210 () (@list @t205)) % 126.87/128.33 (define @t211 () (forall @t210 @t209)) % 126.87/128.33 (define @t212 () (not @t211)) % 126.87/128.33 (define @t213 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t214 () (not (tptp.r1 @t213 @t1))) % 126.87/128.33 (define @t215 () (or @t214 @t2 @t212)) % 126.87/128.33 (define @t216 () (forall @t8 @t215)) % 126.87/128.33 (define @t217 () (not (tptp.r1 @t1 @t213))) % 126.87/128.33 (define @t218 () (or @t217 @t216)) % 126.87/128.33 (define @t219 () (@list @t213)) % 126.87/128.33 (define @t220 () (forall @t219 @t218)) % 126.87/128.33 (define @t221 () (or @t220 @t204)) % 126.87/128.33 (define @t222 () (and @t221 @t192)) % 126.87/128.33 (define @t223 () (or @t152 @t222)) % 126.87/128.33 (define @t224 () (forall @t8 @t223)) % 126.87/128.33 (define @t225 () (not (tptp.r1 @t1 @t151))) % 126.87/128.33 (define @t226 () (or @t225 @t224 @t183)) % 126.87/128.33 (define @t227 () (@list @t151)) % 126.87/128.33 (define @t228 () (forall @t227 @t226)) % 126.87/128.33 (define @t229 () (not @t228)) % 126.87/128.33 (define @t230 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t231 () (not (tptp.p2 @t230))) % 126.87/128.33 (define @t232 () (forall @t8 (or (not (tptp.r1 @t230 @t1)) @t2))) % 126.87/128.33 (define @t233 () (not (tptp.r1 @t1 @t230))) % 126.87/128.33 (define @t234 () (or @t233 @t232 @t231)) % 126.87/128.33 (define @t235 () (@list @t230)) % 126.87/128.33 (define @t236 () (forall @t235 @t234)) % 126.87/128.33 (define @t237 () (not @t236)) % 126.87/128.33 (define @t238 () (or @t2 @t237)) % 126.87/128.33 (define @t239 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t240 () (tptp.p2 @t239)) % 126.87/128.33 (define @t241 () (@list @t239)) % 126.87/128.33 (define @t242 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t243 () (forall @t8 (or (not (tptp.r1 @t242 @t1)) (forall @t241 (or (not (tptp.r1 @t1 @t239)) @t240)) @t3))) % 126.87/128.33 (define @t244 () (not @t243)) % 126.87/128.33 (define @t245 () (tptp.p2 @t242)) % 126.87/128.33 (define @t246 () (not (tptp.r1 @t1 @t242))) % 126.87/128.33 (define @t247 () (or @t246 @t245 @t244)) % 126.87/128.33 (define @t248 () (@list @t242)) % 126.87/128.33 (define @t249 () (forall @t248 @t247)) % 126.87/128.33 (define @t250 () (not @t249)) % 126.87/128.33 (define @t251 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t252 () (not (tptp.p2 @t251))) % 126.87/128.33 (define @t253 () (forall @t8 (or (not (tptp.r1 @t251 @t1)) @t2))) % 126.87/128.33 (define @t254 () (not (tptp.r1 @t1 @t251))) % 126.87/128.33 (define @t255 () (or @t254 @t253 @t252)) % 126.87/128.33 (define @t256 () (@list @t251)) % 126.87/128.33 (define @t257 () (forall @t256 @t255)) % 126.87/128.33 (define @t258 () (not @t257)) % 126.87/128.33 (define @t259 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t260 () (not (tptp.r1 @t259 @t1))) % 126.87/128.33 (define @t261 () (or @t260 @t2 @t258)) % 126.87/128.33 (define @t262 () (forall @t8 @t261)) % 126.87/128.33 (define @t263 () (not (tptp.r1 @t1 @t259))) % 126.87/128.33 (define @t264 () (or @t263 @t262)) % 126.87/128.33 (define @t265 () (@list @t259)) % 126.87/128.33 (define @t266 () (forall @t265 @t264)) % 126.87/128.33 (define @t267 () (or @t266 @t250)) % 126.87/128.33 (define @t268 () (and @t267 @t238)) % 126.87/128.33 (define @t269 () (or @t18 @t268 @t229)) % 126.87/128.33 (define @t270 () (forall @t8 @t269)) % 126.87/128.33 (define @t271 () (not @t270)) % 126.87/128.33 (define @t272 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t273 () (forall (@list @t272) (or (not (tptp.r1 @t1 @t272)) (tptp.p2 @t272)))) % 126.87/128.33 (define @t274 () (forall @t8 (or @t18 @t273 @t3))) % 126.87/128.33 (define @t275 () (not @t274)) % 126.87/128.33 (define @t276 () (or @t81 @t275)) % 126.87/128.33 (define @t277 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t278 () (not (tptp.p2 @t277))) % 126.87/128.33 (define @t279 () (forall @t8 (or (not (tptp.r1 @t277 @t1)) @t2))) % 126.87/128.33 (define @t280 () (not (tptp.r1 @t1 @t277))) % 126.87/128.33 (define @t281 () (or @t280 @t279 @t278)) % 126.87/128.33 (define @t282 () (@list @t277)) % 126.87/128.33 (define @t283 () (forall @t282 @t281)) % 126.87/128.33 (define @t284 () (not @t283)) % 126.87/128.33 (define @t285 () (or @t18 @t2 @t284)) % 126.87/128.33 (define @t286 () (forall @t8 @t285)) % 126.87/128.33 (define @t287 () (not @t286)) % 126.87/128.33 (define @t288 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t289 () (tptp.p2 @t288)) % 126.87/128.33 (define @t290 () (@list @t288)) % 126.87/128.33 (define @t291 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t292 () (forall @t8 (or (not (tptp.r1 @t291 @t1)) (forall @t290 (or (not (tptp.r1 @t1 @t288)) @t289)) @t3))) % 126.87/128.33 (define @t293 () (not @t292)) % 126.87/128.33 (define @t294 () (tptp.p2 @t291)) % 126.87/128.33 (define @t295 () (not (tptp.r1 @t1 @t291))) % 126.87/128.33 (define @t296 () (or @t295 @t294 @t293)) % 126.87/128.33 (define @t297 () (@list @t291)) % 126.87/128.33 (define @t298 () (forall @t297 @t296)) % 126.87/128.33 (define @t299 () (or @t18 @t298)) % 126.87/128.33 (define @t300 () (forall @t8 @t299)) % 126.87/128.33 (define @t301 () (or @t300 @t287)) % 126.87/128.33 (define @t302 () (and @t301 @t276)) % 126.87/128.33 (define @t303 () (or @t302 @t271)) % 126.87/128.33 (define @t304 () (and @t303 @t147 @t114 @t82 @t52 @t20)) % 126.87/128.33 (define @t305 () (not @t304)) % 126.87/128.33 (define @t306 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t307 () (not (tptp.p1 @t306))) % 126.87/128.33 (define @t308 () (forall @t8 (or (not (tptp.r1 @t306 @t1)) @t33))) % 126.87/128.33 (define @t309 () (not (tptp.r1 @t1 @t306))) % 126.87/128.33 (define @t310 () (or @t309 @t308 @t307)) % 126.87/128.33 (define @t311 () (@list @t306)) % 126.87/128.33 (define @t312 () (forall @t311 @t310)) % 126.87/128.33 (define @t313 () (not @t312)) % 126.87/128.33 (define @t314 () (or @t18 @t33 @t313)) % 126.87/128.33 (define @t315 () (forall @t8 @t314)) % 126.87/128.33 (define @t316 () (not @t315)) % 126.87/128.33 (define @t317 () (forall @t8 (or @t18 @t33))) % 126.87/128.33 (define @t318 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t319 () (not (tptp.p2 @t318))) % 126.87/128.33 (define @t320 () (forall @t8 (or (not (tptp.r1 @t318 @t1)) @t2))) % 126.87/128.33 (define @t321 () (not (tptp.r1 @t1 @t318))) % 126.87/128.33 (define @t322 () (or @t321 @t320 @t319)) % 126.87/128.33 (define @t323 () (@list @t318)) % 126.87/128.33 (define @t324 () (forall @t323 @t322)) % 126.87/128.33 (define @t325 () (not @t324)) % 126.87/128.33 (define @t326 () (or @t18 @t2 @t325)) % 126.87/128.33 (define @t327 () (forall @t8 @t326)) % 126.87/128.33 (define @t328 () (not @t327)) % 126.87/128.33 (define @t329 () (forall @t8 (or @t18 @t2))) % 126.87/128.33 (define @t330 () (@var "X" $$unsorted)) % 126.87/128.33 (define @t331 () (not (tptp.p3 @t330))) % 126.87/128.33 (define @t332 () (forall @t8 (or (not (tptp.r1 @t330 @t1)) @t97))) % 126.87/128.33 (define @t333 () (not (tptp.r1 @t1 @t330))) % 126.87/128.33 (define @t334 () (or @t333 @t332 @t331)) % 126.87/128.33 (define @t335 () (@list @t330)) % 126.87/128.33 (define @t336 () (forall @t335 @t334)) % 126.87/128.33 (define @t337 () (not @t336)) % 126.87/128.33 (define @t338 () (or @t18 @t97 @t337)) % 126.87/128.33 (define @t339 () (forall @t8 @t338)) % 126.87/128.33 (define @t340 () (not @t339)) % 126.87/128.33 (define @t341 () (forall @t8 (or @t18 @t97))) % 126.87/128.33 (define @t342 () (or @t341 @t340 @t329 @t328 @t317 @t316 @t305)) % 126.87/128.33 (define @t343 () (not @t342)) % 126.87/128.33 (define @t344 () (@list @t17)) % 126.87/128.33 (define @t345 () (exists @t344 @t343)) % 126.87/128.33 (define @t346 () (@var "BOUND_VARIABLE_8495" $$unsorted)) % 126.87/128.33 (define @t347 () (not (forall (@list @t346) (or (not (tptp.r1 @t7 @t346)) (forall @t6 (or (not (tptp.r1 @t346 @t4)) @t5)) (not (tptp.p2 @t346)))))) % 126.87/128.33 (define @t348 () (not (forall @t14 (or @t12 @t11 @t347)))) % 126.87/128.33 (define @t349 () (forall @t8 (or @t18 @t2 @t348))) % 126.87/128.33 (define @t350 () (not @t349)) % 126.87/128.33 (define @t351 () (@var "BOUND_VARIABLE_8469" $$unsorted)) % 126.87/128.33 (define @t352 () (not @t25)) % 126.87/128.33 (define @t353 () (@var "BOUND_VARIABLE_8477" $$unsorted)) % 126.87/128.33 (define @t354 () (not (forall @t38 (or @t36 (forall (@list @t353) (or (not (tptp.r1 @t21 @t353)) (tptp.p1 @t353) (forall @t31 (not (tptp.r1 @t353 @t28))))) (and @t352 (not (forall (@list @t351) (not (tptp.r1 @t21 @t351))))))))) % 126.87/128.33 (define @t355 () (forall @t44 @t42)) % 126.87/128.33 (define @t356 () (forall @t8 (or @t18 @t33 @t355 @t354))) % 126.87/128.33 (define @t357 () (forall @t8 @t18)) % 126.87/128.33 (define @t358 () (not @t357)) % 126.87/128.33 (define @t359 () (not @t51)) % 126.87/128.33 (define @t360 () (and @t359 @t358 @t356)) % 126.87/128.33 (define @t361 () (@var "BOUND_VARIABLE_8425" $$unsorted)) % 126.87/128.33 (define @t362 () (not @t57)) % 126.87/128.33 (define @t363 () (not @t58)) % 126.87/128.33 (define @t364 () (@var "BOUND_VARIABLE_8433" $$unsorted)) % 126.87/128.33 (define @t365 () (not (forall @t70 (or @t68 (forall (@list @t364) (or (not (tptp.r1 @t53 @t364)) (tptp.p2 @t364) (tptp.p1 @t364) (forall @t64 (not (tptp.r1 @t364 @t61))))) (and @t363 @t362 (not (forall (@list @t361) (not (tptp.r1 @t53 @t361))))))))) % 126.87/128.33 (define @t366 () (forall @t76 @t74)) % 126.87/128.33 (define @t367 () (forall @t8 (or @t18 @t2 @t33 @t366 @t365))) % 126.87/128.33 (define @t368 () (not @t81)) % 126.87/128.33 (define @t369 () (and @t368 @t359 @t358 @t367)) % 126.87/128.33 (define @t370 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 126.87/128.33 (define @t371 () (not @t87)) % 126.87/128.33 (define @t372 () (not @t88)) % 126.87/128.33 (define @t373 () (not @t89)) % 126.87/128.33 (define @t374 () (@var "BOUND_VARIABLE_8387" $$unsorted)) % 126.87/128.33 (define @t375 () (not (forall @t102 (or @t100 (forall (@list @t374) (or (not (tptp.r1 @t83 @t374)) (tptp.p3 @t374) (tptp.p2 @t374) (tptp.p1 @t374) (forall @t95 (not (tptp.r1 @t374 @t92))))) (and @t373 @t372 @t371 (not (forall (@list @t370) (not (tptp.r1 @t83 @t370))))))))) % 126.87/128.33 (define @t376 () (forall @t108 @t106)) % 126.87/128.33 (define @t377 () (forall @t8 (or @t18 @t97 @t2 @t33 @t376 @t375))) % 126.87/128.33 (define @t378 () (not @t113)) % 126.87/128.33 (define @t379 () (and @t378 @t368 @t359 @t358 @t377)) % 126.87/128.33 (define @t380 () (@var "BOUND_VARIABLE_8331" $$unsorted)) % 126.87/128.33 (define @t381 () (not @t119)) % 126.87/128.33 (define @t382 () (not @t120)) % 126.87/128.33 (define @t383 () (not @t121)) % 126.87/128.33 (define @t384 () (not @t122)) % 126.87/128.33 (define @t385 () (@var "BOUND_VARIABLE_8339" $$unsorted)) % 126.87/128.33 (define @t386 () (not (forall @t135 (or @t133 (forall (@list @t385) (or (not (tptp.r1 @t115 @t385)) (tptp.p4 @t385) (tptp.p3 @t385) (tptp.p2 @t385) (tptp.p1 @t385) (forall @t128 (not (tptp.r1 @t385 @t125))))) (and @t384 @t383 @t382 @t381 (not (forall (@list @t380) (not (tptp.r1 @t115 @t380))))))))) % 126.87/128.33 (define @t387 () (forall @t141 @t139)) % 126.87/128.33 (define @t388 () (forall @t8 (or @t18 @t130 @t97 @t2 @t33 @t387 @t386))) % 126.87/128.33 (define @t389 () (not @t146)) % 126.87/128.33 (define @t390 () (and @t389 @t378 @t368 @t359 @t358 @t388)) % 126.87/128.33 (define @t391 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 126.87/128.33 (define @t392 () (not (tptp.p2 @t391))) % 126.87/128.33 (define @t393 () (forall @t150 (or (not (tptp.r1 @t391 @t148)) @t149))) % 126.87/128.33 (define @t394 () (@list @t391)) % 126.87/128.33 (define @t395 () (not @t155)) % 126.87/128.33 (define @t396 () (and @t395 (forall @t394 (or (not (tptp.r1 @t151 @t391)) @t393 @t392)))) % 126.87/128.33 (define @t397 () (@var "BOUND_VARIABLE_8161" $$unsorted)) % 126.87/128.33 (define @t398 () (forall (@list @t397) (or (not (tptp.r1 @t157 @t397)) (tptp.p2 @t397)))) % 126.87/128.33 (define @t399 () (@var "BOUND_VARIABLE_8206" $$unsorted)) % 126.87/128.33 (define @t400 () (not (forall @t162 (or (not (tptp.r1 @t399 @t157)) @t398 @t158)))) % 126.87/128.33 (define @t401 () (tptp.p2 @t399)) % 126.87/128.33 (define @t402 () (@list @t399)) % 126.87/128.33 (define @t403 () (@var "BOUND_VARIABLE_8143" $$unsorted)) % 126.87/128.33 (define @t404 () (not (forall (@list @t403) (or (not (tptp.r1 @t171 @t403)) (forall @t170 (or (not (tptp.r1 @t403 @t168)) @t169)) (not (tptp.p2 @t403)))))) % 126.87/128.33 (define @t405 () (@var "BOUND_VARIABLE_8219" $$unsorted)) % 126.87/128.33 (define @t406 () (forall @t177 (or (not (tptp.r1 @t405 @t171)) @t174 @t404))) % 126.87/128.33 (define @t407 () (@list @t405)) % 126.87/128.33 (define @t408 () (and (not (forall @t407 (or (not (tptp.r1 @t151 @t405)) @t406))) (forall @t402 (or (not (tptp.r1 @t151 @t399)) @t401 @t400)))) % 126.87/128.33 (define @t409 () (@var "BOUND_VARIABLE_8095" $$unsorted)) % 126.87/128.33 (define @t410 () (forall (@list @t409) (or (not (tptp.r1 @t184 @t409)) (tptp.p2 @t409)))) % 126.87/128.33 (define @t411 () (@var "BOUND_VARIABLE_8232" $$unsorted)) % 126.87/128.33 (define @t412 () (@var "BOUND_VARIABLE_8107" $$unsorted)) % 126.87/128.33 (define @t413 () (not (forall (@list @t412) (or (not (tptp.r1 @t196 @t412)) (forall @t195 (or (not (tptp.r1 @t412 @t193)) @t194)) (not (tptp.p2 @t412)))))) % 126.87/128.33 (define @t414 () (@var "BOUND_VARIABLE_8076" $$unsorted)) % 126.87/128.33 (define @t415 () (forall (@list @t414) (or (not (tptp.r1 @t205 @t414)) (tptp.p2 @t414)))) % 126.87/128.33 (define @t416 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 126.87/128.33 (define @t417 () (forall (@list @t416) (or (not (tptp.r1 @t213 @t416)) (tptp.p2 @t416) (not (forall @t210 (or (not (tptp.r1 @t416 @t205)) @t415 @t206)))))) % 126.87/128.33 (define @t418 () (and (or (forall @t219 (or (not (tptp.r1 @t411 @t213)) @t417)) (not (forall @t202 (or (not (tptp.r1 @t411 @t196)) @t199 @t413)))) (or (tptp.p2 @t411) (not (forall @t189 (or (not (tptp.r1 @t411 @t184)) @t410 @t185)))))) % 126.87/128.33 (define @t419 () (@list @t411)) % 126.87/128.33 (define @t420 () (forall @t419 (or (not (tptp.r1 @t151 @t411)) @t418))) % 126.87/128.33 (define @t421 () (not (forall @t227 (or @t225 @t420 @t408 @t396)))) % 126.87/128.33 (define @t422 () (@var "BOUND_VARIABLE_8260" $$unsorted)) % 126.87/128.33 (define @t423 () (forall (@list @t422) (or (not (tptp.r1 @t230 @t422)) (tptp.p2 @t422)))) % 126.87/128.33 (define @t424 () (@var "BOUND_VARIABLE_8272" $$unsorted)) % 126.87/128.33 (define @t425 () (not (tptp.p2 @t424))) % 126.87/128.33 (define @t426 () (forall @t241 (or (not (tptp.r1 @t424 @t239)) @t240))) % 126.87/128.33 (define @t427 () (@list @t424)) % 126.87/128.33 (define @t428 () (not (forall @t427 (or (not (tptp.r1 @t242 @t424)) @t426 @t425)))) % 126.87/128.33 (define @t429 () (@var "BOUND_VARIABLE_8059" $$unsorted)) % 126.87/128.33 (define @t430 () (forall (@list @t429) (or (not (tptp.r1 @t251 @t429)) (tptp.p2 @t429)))) % 126.87/128.33 (define @t431 () (@var "BOUND_VARIABLE_8289" $$unsorted)) % 126.87/128.33 (define @t432 () (not (forall @t256 (or (not (tptp.r1 @t431 @t251)) @t430 @t252)))) % 126.87/128.33 (define @t433 () (tptp.p2 @t431)) % 126.87/128.33 (define @t434 () (@list @t431)) % 126.87/128.33 (define @t435 () (forall @t434 (or (not (tptp.r1 @t259 @t431)) @t433 @t432))) % 126.87/128.33 (define @t436 () (and (or (forall @t265 (or @t263 @t435)) (not (forall @t248 (or @t246 @t245 @t428)))) (or @t2 (not (forall @t235 (or @t233 @t423 @t231)))))) % 126.87/128.33 (define @t437 () (forall @t8 (or @t18 @t436 @t421))) % 126.87/128.33 (define @t438 () (@var "BOUND_VARIABLE_8043" $$unsorted)) % 126.87/128.33 (define @t439 () (not (forall @t282 (or @t280 (forall (@list @t438) (or (not (tptp.r1 @t277 @t438)) (tptp.p2 @t438))) @t278)))) % 126.87/128.33 (define @t440 () (forall @t8 (or @t18 @t2 @t439))) % 126.87/128.33 (define @t441 () (@var "BOUND_VARIABLE_8025" $$unsorted)) % 126.87/128.33 (define @t442 () (not (forall (@list @t441) (or (not (tptp.r1 @t291 @t441)) (forall @t290 (or (not (tptp.r1 @t441 @t288)) @t289)) (not (tptp.p2 @t441)))))) % 126.87/128.33 (define @t443 () (forall @t297 (or @t295 @t294 @t442))) % 126.87/128.33 (define @t444 () (forall @t8 (or @t18 @t443))) % 126.87/128.33 (define @t445 () (not @t444)) % 126.87/128.33 (define @t446 () (and (or (and @t445 @t440) (and @t368 @t274)) @t437)) % 126.87/128.33 (define @t447 () (@var "BOUND_VARIABLE_8011" $$unsorted)) % 126.87/128.33 (define @t448 () (not (forall @t311 (or @t309 (forall (@list @t447) (or (not (tptp.r1 @t306 @t447)) (tptp.p1 @t447))) @t307)))) % 126.87/128.33 (define @t449 () (not (forall @t8 (or @t18 @t33 @t448)))) % 126.87/128.33 (define @t450 () (@var "BOUND_VARIABLE_7997" $$unsorted)) % 126.87/128.33 (define @t451 () (forall (@list @t450) (or (not (tptp.r1 @t318 @t450)) (tptp.p2 @t450)))) % 126.87/128.33 (define @t452 () (not (forall @t323 (or @t321 @t451 @t319)))) % 126.87/128.33 (define @t453 () (not (forall @t8 (or @t18 @t2 @t452)))) % 126.87/128.33 (define @t454 () (@var "BOUND_VARIABLE_7983" $$unsorted)) % 126.87/128.33 (define @t455 () (not (forall @t335 (or @t333 (forall (@list @t454) (or (not (tptp.r1 @t330 @t454)) (tptp.p3 @t454))) @t331)))) % 126.87/128.33 (define @t456 () (not (forall @t8 (or @t18 @t97 @t455)))) % 126.87/128.33 (define @t457 () (or @t341 @t456 @t329 @t453 @t317 @t449 @t446 @t390 @t379 @t369 @t360 @t350)) % 126.87/128.33 (define @t458 () (not @t356)) % 126.87/128.33 (define @t459 () (not @t458)) % 126.87/128.33 (define @t460 () (and @t359 @t358 @t459)) % 126.87/128.33 (define @t461 () (not @t367)) % 126.87/128.33 (define @t462 () (not @t461)) % 126.87/128.33 (define @t463 () (and @t368 @t359 @t358 @t462)) % 126.87/128.33 (define @t464 () (not @t377)) % 126.87/128.33 (define @t465 () (not @t464)) % 126.87/128.33 (define @t466 () (and @t378 @t368 @t359 @t358 @t465)) % 126.87/128.33 (define @t467 () (not @t388)) % 126.87/128.33 (define @t468 () (not @t467)) % 126.87/128.33 (define @t469 () (and @t389 @t378 @t368 @t359 @t358 @t468)) % 126.87/128.33 (define @t470 () (not @t440)) % 126.87/128.33 (define @t471 () (or @t444 @t470)) % 126.87/128.33 (define @t472 () (and @t471 @t276)) % 126.87/128.33 (define @t473 () (not @t472)) % 126.87/128.33 (define @t474 () (not @t437)) % 126.87/128.33 (define @t475 () (or @t51 @t357 @t458)) % 126.87/128.33 (define @t476 () (not @t475)) % 126.87/128.33 (define @t477 () (or @t81 @t51 @t357 @t461)) % 126.87/128.33 (define @t478 () (not @t477)) % 126.87/128.33 (define @t479 () (or @t113 @t81 @t51 @t357 @t464)) % 126.87/128.33 (define @t480 () (not @t479)) % 126.87/128.33 (define @t481 () (or @t146 @t113 @t81 @t51 @t357 @t467)) % 126.87/128.33 (define @t482 () (not @t481)) % 126.87/128.33 (define @t483 () (or @t472 @t474)) % 126.87/128.33 (define @t484 () (not @t483)) % 126.87/128.33 (define @t485 () (or @t484 @t482 @t480 @t478 @t476 @t350)) % 126.87/128.33 (define @t486 () (or @t341 @t456 @t329 @t453 @t317 @t449 (not (and @t483 @t481 @t479 @t477 @t475 @t349)))) % 126.87/128.33 (define @t487 () (not @t486)) % 126.87/128.33 (define @t488 () (forall @t344 (not @t487))) % 126.87/128.33 (define @t489 () (not @t488)) % 126.87/128.33 (define @t490 () (@list @t1)) % 126.87/128.33 (define @t491 () (forall @t8 @t22)) % 126.87/128.33 (define @t492 () (not @t491)) % 126.87/128.33 (define @t493 () (and @t352 @t492)) % 126.87/128.33 (define @t494 () (forall @t8 (or @t22 @t33 (forall @t31 @t29)))) % 126.87/128.33 (define @t495 () (or @t36 @t494 @t493)) % 126.87/128.33 (define @t496 () (forall @t38 @t495)) % 126.87/128.33 (define @t497 () (not @t496)) % 126.87/128.33 (define @t498 () (or @t18 @t33 @t355 @t497)) % 126.87/128.33 (define @t499 () (or @t36 @t494 (not (or @t25 @t491)))) % 126.87/128.33 (define @t500 () (forall @t8 @t54)) % 126.87/128.33 (define @t501 () (not @t500)) % 126.87/128.33 (define @t502 () (and @t363 @t362 @t501)) % 126.87/128.33 (define @t503 () (forall @t8 (or @t54 @t2 @t33 (forall @t64 @t62)))) % 126.87/128.33 (define @t504 () (or @t68 @t503 @t502)) % 126.87/128.33 (define @t505 () (forall @t70 @t504)) % 126.87/128.33 (define @t506 () (not @t505)) % 126.87/128.33 (define @t507 () (or @t18 @t2 @t33 @t366 @t506)) % 126.87/128.33 (define @t508 () (or @t68 @t503 (not (or @t58 @t57 @t500)))) % 126.87/128.33 (define @t509 () (forall @t8 @t84)) % 126.87/128.33 (define @t510 () (not @t509)) % 126.87/128.33 (define @t511 () (and @t373 @t372 @t371 @t510)) % 126.87/128.33 (define @t512 () (forall @t8 (or @t84 @t97 @t2 @t33 (forall @t95 @t93)))) % 126.87/128.33 (define @t513 () (or @t100 @t512 @t511)) % 126.87/128.33 (define @t514 () (forall @t102 @t513)) % 126.87/128.33 (define @t515 () (not @t514)) % 126.87/128.33 (define @t516 () (or @t18 @t97 @t2 @t33 @t376 @t515)) % 126.87/128.33 (define @t517 () (or @t100 @t512 (not (or @t89 @t88 @t87 @t509)))) % 126.87/128.33 (define @t518 () (forall @t8 @t116)) % 126.87/128.33 (define @t519 () (not @t518)) % 126.87/128.33 (define @t520 () (and @t384 @t383 @t382 @t381 @t519)) % 126.87/128.33 (define @t521 () (forall @t8 (or @t116 @t130 @t97 @t2 @t33 (forall @t128 @t126)))) % 126.87/128.33 (define @t522 () (or @t133 @t521 @t520)) % 126.87/128.33 (define @t523 () (forall @t135 @t522)) % 126.87/128.33 (define @t524 () (not @t523)) % 126.87/128.33 (define @t525 () (or @t18 @t130 @t97 @t2 @t33 @t387 @t524)) % 126.87/128.33 (define @t526 () (or @t133 @t521 (not (or @t122 @t121 @t120 @t119 @t518)))) % 126.87/128.33 (define @t527 () (and @t395 @t153)) % 126.87/128.33 (define @t528 () (forall @t8 (or @t152 @t2 (not (forall @t162 (or @t160 @t398 @t158)))))) % 126.87/128.33 (define @t529 () (forall @t8 (or @t152 (forall @t177 (or @t175 @t174 @t404))))) % 126.87/128.33 (define @t530 () (not @t529)) % 126.87/128.33 (define @t531 () (and @t530 @t528)) % 126.87/128.33 (define @t532 () (forall @t8 (or @t152 (and (or (forall @t219 (or @t217 @t417)) (not (forall @t202 (or @t200 @t199 @t413)))) (or @t2 (not (forall @t189 (or @t187 @t410 @t185)))))))) % 126.87/128.33 (define @t533 () (or @t225 @t532 @t531 @t527)) % 126.87/128.33 (define @t534 () (forall @t227 @t533)) % 126.87/128.33 (define @t535 () (not @t534)) % 126.87/128.33 (define @t536 () (forall @t8 (or @t260 @t2 (not (forall @t256 (or @t254 @t430 @t252)))))) % 126.87/128.33 (define @t537 () (or @t263 @t536)) % 126.87/128.33 (define @t538 () (forall @t265 @t537)) % 126.87/128.33 (define @t539 () (or @t538 @t250)) % 126.87/128.33 (define @t540 () (and @t539 @t238)) % 126.87/128.33 (define @t541 () (or @t18 @t540 @t535)) % 126.87/128.33 (define @t542 () (not @t528)) % 126.87/128.33 (define @t543 () (or @t529 @t542)) % 126.87/128.33 (define @t544 () (or @t225 @t532 (not (and @t543 @t156)))) % 126.87/128.33 (define @t545 () (forall @t8 (or @t214 @t2 (not (forall @t210 (or @t208 @t415 @t206)))))) % 126.87/128.33 (define @t546 () (or @t217 @t545)) % 126.87/128.33 (define @t547 () (forall @t219 @t546)) % 126.87/128.33 (define @t548 () (or @t547 @t204)) % 126.87/128.33 (define @t549 () (and @t548 @t192)) % 126.87/128.33 (define @t550 () (or @t152 @t549)) % 126.87/128.33 (define @t551 () (@quantifiers_skolemize (forall @t344 @t457) 0)) % 126.87/128.33 (define @t552 () (not (tptp.r1 @t551 @t1))) % 126.87/128.33 (define @t553 () (forall @t8 (or @t552 @t2 @t452))) % 126.87/128.33 (define @t554 () (forall @t8 (or @t552 @t2 @t348))) % 126.87/128.33 (define @t555 () (not @t554)) % 126.87/128.33 (define @t556 () (not (forall @t8 @t552))) % 126.87/128.33 (define @t557 () (not (tptp.p1 @t551))) % 126.87/128.33 (define @t558 () (not (tptp.p2 @t551))) % 126.87/128.33 (define @t559 () (not (tptp.p3 @t551))) % 126.87/128.33 (define @t560 () (forall @t8 (or @t552 @t436 @t421))) % 126.87/128.33 (define @t561 () (forall @t8 (or @t552 @t2 @t439))) % 126.87/128.33 (define @t562 () (forall @t8 (or @t552 @t443))) % 126.87/128.33 (define @t563 () (not @t562)) % 126.87/128.33 (define @t564 () (and @t563 @t561)) % 126.87/128.33 (define @t565 () (or @t564 (and @t558 (forall @t8 (or @t552 @t273 @t3))))) % 126.87/128.33 (define @t566 () (and @t565 @t560)) % 126.87/128.33 (define @t567 () (not @t553)) % 126.87/128.33 (define @t568 () (forall @t8 (or @t552 @t2))) % 126.87/128.33 (define @t569 () (or (forall @t8 (or @t552 @t97)) (not (forall @t8 (or @t552 @t97 @t455))) @t568 @t567 (forall @t8 (or @t552 @t33)) (not (forall @t8 (or @t552 @t33 @t448))) @t566 (and (not (tptp.p4 @t551)) @t559 @t558 @t557 @t556 (forall @t8 (or @t552 @t130 @t97 @t2 @t33 @t387 @t386))) (and @t559 @t558 @t557 @t556 (forall @t8 (or @t552 @t97 @t2 @t33 @t376 @t375))) (and @t558 @t557 @t556 (forall @t8 (or @t552 @t2 @t33 @t366 @t365))) (and @t557 @t556 (forall @t8 (or @t552 @t33 @t355 @t354))) @t555)) % 126.87/128.33 (define @t570 () (@list true)) % 126.87/128.33 (define @t571 () (@list @t569)) % 126.87/128.33 (define @t572 () (@var "BOUND_VARIABLE_9235" $$unsorted)) % 126.87/128.33 (define @t573 () (@var "BOUND_VARIABLE_9237" $$unsorted)) % 126.87/128.33 (define @t574 () (@var "BOUND_VARIABLE_9236" $$unsorted)) % 126.87/128.33 (define @t575 () (@list @t572 @t574 @t573)) % 126.87/128.33 (define @t576 () (@list false)) % 126.87/128.33 (define @t577 () (@quantifiers_skolemize @t568 0)) % 126.87/128.33 (define @t578 () (@list @t577)) % 126.87/128.33 (define @t579 () (tptp.p2 @t577)) % 126.87/128.33 (define @t580 () (tptp.r1 @t551 @t577)) % 126.87/128.33 (define @t581 () (not @t580)) % 126.87/128.33 (define @t582 () (or @t581 @t579)) % 126.87/128.33 (define @t583 () (@list @t582)) % 126.87/128.33 (define @t584 () (forall @t14 (or (not (tptp.r1 @t577 @t7)) @t11 @t347))) % 126.87/128.33 (define @t585 () (not @t584)) % 126.87/128.33 (define @t586 () (or @t581 @t579 @t585)) % 126.87/128.33 (define @t587 () (@list false true false)) % 126.87/128.33 (define @t588 () (forall @t297 (or (not (tptp.r1 @t577 @t291)) @t294 @t442))) % 126.87/128.33 (define @t589 () (or @t581 @t588)) % 126.87/128.33 (define @t590 () (not @t589)) % 126.87/128.33 (define @t591 () (@list false true)) % 126.87/128.33 (define @t592 () (not @t561)) % 126.87/128.33 (define @t593 () (@list true false)) % 126.87/128.33 (define @t594 () (not @t560)) % 126.87/128.33 (define @t595 () (@quantifiers_skolemize @t560 0)) % 126.87/128.33 (define @t596 () (forall @t227 (or (not (tptp.r1 @t595 @t151)) @t420 @t408 @t396))) % 126.87/128.33 (define @t597 () (not @t596)) % 126.87/128.33 (define @t598 () (forall @t235 (or (not (tptp.r1 @t595 @t230)) @t423 @t231))) % 126.87/128.33 (define @t599 () (not @t598)) % 126.87/128.33 (define @t600 () (tptp.p2 @t595)) % 126.87/128.33 (define @t601 () (or @t600 @t599)) % 126.87/128.33 (define @t602 () (forall @t248 (or (not (tptp.r1 @t595 @t242)) @t245 @t428))) % 126.87/128.33 (define @t603 () (not @t602)) % 126.87/128.33 (define @t604 () (forall @t265 (or (not (tptp.r1 @t595 @t259)) @t435))) % 126.87/128.33 (define @t605 () (or @t604 @t603)) % 126.87/128.33 (define @t606 () (and @t605 @t601)) % 126.87/128.33 (define @t607 () (tptp.r1 @t551 @t595)) % 126.87/128.33 (define @t608 () (not @t607)) % 126.87/128.33 (define @t609 () (or @t608 @t606 @t597)) % 126.87/128.33 (define @t610 () (not @t609)) % 126.87/128.33 (define @t611 () (@list @t609)) % 126.87/128.33 (define @t612 () (@quantifiers_skolemize @t604 0)) % 126.87/128.33 (define @t613 () (@list @t612)) % 126.87/128.33 (define @t614 () (forall @t394 (or (not (tptp.r1 @t612 @t391)) @t393 @t392))) % 126.87/128.33 (define @t615 () (tptp.p2 @t612)) % 126.87/128.33 (define @t616 () (not @t615)) % 126.87/128.33 (define @t617 () (and @t616 @t614)) % 126.87/128.33 (define @t618 () (forall @t402 (or (not (tptp.r1 @t612 @t399)) @t401 @t400))) % 126.87/128.33 (define @t619 () (and (not (forall @t407 (or (not (tptp.r1 @t612 @t405)) @t406))) @t618)) % 126.87/128.33 (define @t620 () (forall @t419 (or (not (tptp.r1 @t612 @t411)) @t418))) % 126.87/128.33 (define @t621 () (tptp.r1 @t595 @t612)) % 126.87/128.33 (define @t622 () (not @t621)) % 126.87/128.33 (define @t623 () (or @t622 @t620 @t619 @t617)) % 126.87/128.33 (define @t624 () (forall @t323 (or (not (tptp.r1 @t595 @t318)) @t451 @t319))) % 126.87/128.33 (define @t625 () (not @t624)) % 126.87/128.33 (define @t626 () (or @t608 @t600 @t625)) % 126.87/128.33 (define @t627 () (not @t604)) % 126.87/128.33 (define @t628 () (@list @t605)) % 126.87/128.33 (define @t629 () (forall @t434 (or (not (tptp.r1 @t612 @t431)) @t433 @t432))) % 126.87/128.33 (define @t630 () (or @t622 @t629)) % 126.87/128.33 (define @t631 () (not @t630)) % 126.87/128.33 (define @t632 () (not @t629)) % 126.87/128.33 (define @t633 () (@list @t630)) % 126.87/128.33 (define @t634 () (@list @t629)) % 126.87/128.33 (define @t635 () (not @t619)) % 126.87/128.33 (define @t636 () (@quantifiers_skolemize @t629 0)) % 126.87/128.33 (define @t637 () (forall @t256 (or (not (tptp.r1 @t636 @t251)) @t430 @t252))) % 126.87/128.33 (define @t638 () (not @t637)) % 126.87/128.33 (define @t639 () (tptp.p2 @t636)) % 126.87/128.33 (define @t640 () (tptp.r1 @t612 @t636)) % 126.87/128.33 (define @t641 () (not @t640)) % 126.87/128.33 (define @t642 () (or @t641 @t639 @t638)) % 126.87/128.33 (define @t643 () (not @t642)) % 126.87/128.33 (define @t644 () (@list @t642)) % 126.87/128.33 (define @t645 () (forall @t189 (or (not (tptp.r1 @t636 @t184)) @t410 @t185))) % 126.87/128.33 (define @t646 () (not @t645)) % 126.87/128.33 (define @t647 () (or @t639 @t646)) % 126.87/128.33 (define @t648 () (not @t647)) % 126.87/128.33 (define @t649 () (and (or (forall @t219 (or (not (tptp.r1 @t636 @t213)) @t417)) (not (forall @t202 (or (not (tptp.r1 @t636 @t196)) @t199 @t413)))) @t647)) % 126.87/128.33 (define @t650 () (not @t649)) % 126.87/128.33 (define @t651 () (or @t641 @t649)) % 126.87/128.33 (define @t652 () (not @t651)) % 126.87/128.33 (define @t653 () (not @t617)) % 126.87/128.33 (define @t654 () (@list @t617)) % 126.87/128.33 (define @t655 () (forall @t427 (or (not (tptp.r1 @t612 @t424)) @t426 @t425))) % 126.87/128.33 (define @t656 () (not @t655)) % 126.87/128.33 (define @t657 () (or @t622 @t615 @t656)) % 126.87/128.33 (assume @p1 (not (not @t345))) % 126.87/128.33 (assume @p2 true) % 126.87/128.33 (step @p3 :rule aci_norm :args ((= (or @t341 @t456 @t329 @t453 @t317 @t449 (or @t446 @t390 @t379 @t369 @t360 @t350)) @t457))) % 126.87/128.33 (step @p4 :rule refl :args (@t350)) % 126.87/128.33 (step @p5 :rule bool-double-not-elim :args (@t356)) % 126.87/128.33 (step @p6 :rule refl :args (@t358)) % 126.87/128.33 (step @p7 :rule refl :args (@t359)) % 126.87/128.33 (step @p8 :rule nary_cong :premises (@p7 @p6 @p5) :args (@t460)) % 126.87/128.33 (step @p9 :rule aci_norm :args ((= (and @t359 (and @t358 @t459)) @t460))) % 126.87/128.33 (step @p10 :rule trans :premises (@p9 @p8)) % 126.87/128.33 (step @p11 :rule bool-or-de-morgan :args (@t357 @t458 false)) % 126.87/128.33 (step @p12 :rule nary_cong :premises (@p7 @p11) :args ((and @t359 (not (or @t357 @t458))))) % 126.87/128.33 (step @p13 :rule bool-or-de-morgan :args (@t51 @t357 (or @t458))) % 126.87/128.33 (step @p14 :rule trans :premises (@p13 @p12)) % 126.87/128.33 (step @p15 :rule trans :premises (@p14 @p10)) % 126.87/128.33 (step @p16 :rule bool-double-not-elim :args (@t367)) % 126.87/128.33 (step @p17 :rule refl :args (@t368)) % 126.87/128.33 (step @p18 :rule nary_cong :premises (@p17 @p7 @p6 @p16) :args (@t463)) % 126.87/128.33 (step @p19 :rule aci_norm :args ((= (and @t368 (and @t359 (and @t358 @t462))) @t463))) % 126.87/128.33 (step @p20 :rule trans :premises (@p19 @p18)) % 126.87/128.33 (step @p21 :rule bool-or-de-morgan :args (@t357 @t461 false)) % 126.87/128.33 (step @p22 :rule nary_cong :premises (@p7 @p21) :args ((and @t359 (not (or @t357 @t461))))) % 126.87/128.33 (step @p23 :rule bool-or-de-morgan :args (@t51 @t357 (or @t461))) % 126.87/128.33 (step @p24 :rule trans :premises (@p23 @p22)) % 126.87/128.33 (step @p25 :rule nary_cong :premises (@p17 @p24) :args ((and @t368 (not (or @t51 @t357 @t461))))) % 126.87/128.33 (step @p26 :rule bool-or-de-morgan :args (@t81 @t51 (or @t357 @t461))) % 126.87/128.33 (step @p27 :rule trans :premises (@p26 @p25)) % 126.87/128.33 (step @p28 :rule trans :premises (@p27 @p20)) % 126.87/128.33 (step @p29 :rule bool-double-not-elim :args (@t377)) % 126.87/128.33 (step @p30 :rule refl :args (@t378)) % 126.87/128.33 (step @p31 :rule nary_cong :premises (@p30 @p17 @p7 @p6 @p29) :args (@t466)) % 126.87/128.33 (step @p32 :rule aci_norm :args ((= (and @t378 (and @t368 (and @t359 (and @t358 @t465)))) @t466))) % 126.87/128.33 (step @p33 :rule trans :premises (@p32 @p31)) % 126.87/128.33 (step @p34 :rule bool-or-de-morgan :args (@t357 @t464 false)) % 126.87/128.33 (step @p35 :rule nary_cong :premises (@p7 @p34) :args ((and @t359 (not (or @t357 @t464))))) % 126.87/128.33 (step @p36 :rule bool-or-de-morgan :args (@t51 @t357 (or @t464))) % 126.87/128.33 (step @p37 :rule trans :premises (@p36 @p35)) % 126.87/128.33 (step @p38 :rule nary_cong :premises (@p17 @p37) :args ((and @t368 (not (or @t51 @t357 @t464))))) % 126.87/128.33 (step @p39 :rule bool-or-de-morgan :args (@t81 @t51 (or @t357 @t464))) % 126.87/128.33 (step @p40 :rule trans :premises (@p39 @p38)) % 126.87/128.33 (step @p41 :rule nary_cong :premises (@p30 @p40) :args ((and @t378 (not (or @t81 @t51 @t357 @t464))))) % 126.87/128.33 (step @p42 :rule bool-or-de-morgan :args (@t113 @t81 (or @t51 @t357 @t464))) % 126.87/128.33 (step @p43 :rule trans :premises (@p42 @p41)) % 126.87/128.33 (step @p44 :rule trans :premises (@p43 @p33)) % 126.87/128.33 (step @p45 :rule bool-double-not-elim :args (@t388)) % 126.87/128.33 (step @p46 :rule refl :args (@t389)) % 126.87/128.33 (step @p47 :rule nary_cong :premises (@p46 @p30 @p17 @p7 @p6 @p45) :args (@t469)) % 126.87/128.33 (step @p48 :rule aci_norm :args ((= (and @t389 (and @t378 (and @t368 (and @t359 (and @t358 @t468))))) @t469))) % 126.87/128.33 (step @p49 :rule trans :premises (@p48 @p47)) % 126.87/128.33 (step @p50 :rule bool-or-de-morgan :args (@t357 @t467 false)) % 126.87/128.33 (step @p51 :rule nary_cong :premises (@p7 @p50) :args ((and @t359 (not (or @t357 @t467))))) % 126.87/128.33 (step @p52 :rule bool-or-de-morgan :args (@t51 @t357 (or @t467))) % 126.87/128.33 (step @p53 :rule trans :premises (@p52 @p51)) % 126.87/128.33 (step @p54 :rule nary_cong :premises (@p17 @p53) :args ((and @t368 (not (or @t51 @t357 @t467))))) % 126.87/128.33 (step @p55 :rule bool-or-de-morgan :args (@t81 @t51 (or @t357 @t467))) % 126.87/128.33 (step @p56 :rule trans :premises (@p55 @p54)) % 126.87/128.33 (step @p57 :rule nary_cong :premises (@p30 @p56) :args ((and @t378 (not (or @t81 @t51 @t357 @t467))))) % 126.87/128.33 (step @p58 :rule bool-or-de-morgan :args (@t113 @t81 (or @t51 @t357 @t467))) % 126.87/128.33 (step @p59 :rule trans :premises (@p58 @p57)) % 126.87/128.33 (step @p60 :rule nary_cong :premises (@p46 @p59) :args ((and @t389 (not (or @t113 @t81 @t51 @t357 @t467))))) % 126.87/128.33 (step 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@p87 :rule refl :args (@t478)) % 126.87/128.33 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t478 (not (and @t475 @t349))))) % 126.87/128.33 (step @p89 :rule bool-and-de-morgan :args (@t477 @t475 (and @t349))) % 126.87/128.33 (step @p90 :rule trans :premises (@p89 @p88)) % 126.87/128.33 (step @p91 :rule refl :args (@t480)) % 126.87/128.33 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t480 (not (and @t477 @t475 @t349))))) % 126.87/128.33 (step @p93 :rule bool-and-de-morgan :args (@t479 @t477 (and @t475 @t349))) % 126.87/128.33 (step @p94 :rule trans :premises (@p93 @p92)) % 126.87/128.33 (step @p95 :rule refl :args (@t482)) % 126.87/128.33 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t482 (not (and @t479 @t477 @t475 @t349))))) % 126.87/128.33 (step @p97 :rule bool-and-de-morgan :args (@t481 @t479 (and @t477 @t475 @t349))) % 126.87/128.33 (step @p98 :rule trans :premises (@p97 @p96)) % 126.87/128.33 (step @p99 :rule refl :args (@t484)) % 126.87/128.33 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t484 (not (and @t481 @t479 @t477 @t475 @t349))))) % 126.87/128.33 (step @p101 :rule bool-and-de-morgan :args (@t483 @t481 (and @t479 @t477 @t475 @t349))) % 126.87/128.33 (step @p102 :rule trans :premises (@p101 @p100)) % 126.87/128.33 (step @p103 :rule trans :premises (@p102 @p85)) % 126.87/128.33 (step @p104 :rule trans :premises (@p103 @p84)) % 126.87/128.33 (step @p105 :rule refl :args (@t449)) % 126.87/128.33 (step @p106 :rule refl :args (@t317)) % 126.87/128.33 (step @p107 :rule refl :args (@t453)) % 126.87/128.33 (step @p108 :rule refl :args (@t329)) % 126.87/128.33 (step @p109 :rule refl :args (@t456)) % 126.87/128.33 (step @p110 :rule refl :args (@t341)) % 126.87/128.33 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108 @p107 @p106 @p105 @p104) :args (@t486)) % 126.87/128.33 (step @p112 :rule trans :premises (@p111 @p3)) % 126.87/128.33 (step @p113 :rule cong :premises (@p112) :args ((forall @t344 @t486))) % 126.87/128.33 (step @p114 :rule bool-double-not-elim :args (@t486)) % 126.87/128.33 (step @p115 :rule cong :premises (@p114) :args (@t488)) % 126.87/128.33 (step @p116 :rule trans :premises (@p115 @p113)) % 126.87/128.33 (step @p117 :rule cong :premises (@p116) :args (@t489)) % 126.87/128.33 (step @p118 :rule exists-elim :args ((= (exists @t344 @t487) @t489))) % 126.87/128.33 (step @p119 :rule trans :premises (@p118 @p117)) % 126.87/128.33 (step @p120 :rule alpha_equiv :args (@t9 @t490 (@list @t346))) % 126.87/128.33 (step @p121 :rule cong :premises (@p120) :args (@t10)) % 126.87/128.33 (step @p122 :rule refl :args (@t11)) % 126.87/128.33 (step @p123 :rule refl :args (@t12)) % 126.87/128.33 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121) :args (@t13)) % 126.87/128.33 (step @p125 :rule cong :premises (@p124) :args (@t15)) % 126.87/128.33 (step @p126 :rule cong :premises (@p125) :args (@t16)) % 126.87/128.33 (step @p127 :rule refl :args (@t2)) % 126.87/128.33 (step @p128 :rule refl :args (@t18)) % 126.87/128.33 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126) :args (@t19)) % 126.87/128.33 (step @p130 :rule cong :premises (@p129) :args (@t20)) % 126.87/128.33 (step @p131 :rule alpha_equiv :args (@t491 @t490 (@list @t351))) % 126.87/128.33 (step @p132 :rule cong :premises (@p131) :args (@t492)) % 126.87/128.33 (step @p133 :rule refl :args (@t352)) % 126.87/128.33 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t493)) % 126.87/128.33 (step @p135 :rule alpha_equiv :args (@t494 @t490 (@list @t353))) % 126.87/128.33 (step @p136 :rule refl :args (@t36)) % 126.87/128.33 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args (@t495)) % 126.87/128.33 (step @p138 :rule cong :premises (@p137) :args (@t496)) % 126.87/128.33 (step @p139 :rule cong :premises (@p138) :args (@t497)) % 126.87/128.33 (step @p140 :rule refl :args (@t355)) % 126.87/128.33 (step @p141 :rule refl :args (@t33)) % 126.87/128.33 (step @p142 :rule nary_cong :premises (@p128 @p141 @p140 @p139) :args (@t498)) % 126.87/128.33 (step @p143 :rule cong :premises (@p142) :args ((forall @t8 @t498))) % 126.87/128.33 (step @p144 :rule bool-or-de-morgan :args (@t25 @t491 false)) % 126.87/128.33 (step @p145 :rule refl :args (@t494)) % 126.87/128.33 (step @p146 :rule nary_cong :premises (@p136 @p145 @p144) :args (@t499)) % 126.87/128.33 (step @p147 :rule cong :premises (@p146) :args ((forall @t38 @t499))) % 126.87/128.33 (step @p148 :rule aci_norm :args ((= @t23 @t22))) % 126.87/128.33 (step @p149 :rule cong :premises (@p148) :args (@t24)) % 126.87/128.33 (step @p150 :rule refl :args (@t25)) % 126.87/128.33 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t26)) % 126.87/128.33 (step @p152 :rule cong :premises (@p151) :args (@t27)) % 126.87/128.33 (step @p153 :rule aci_norm :args ((= @t30 @t29))) % 126.87/128.33 (step @p154 :rule cong :premises (@p153) :args (@t32)) % 126.87/128.33 (step @p155 :rule refl :args (@t33)) % 126.87/128.33 (step @p156 :rule refl :args (@t22)) % 126.87/128.33 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154) :args (@t34)) % 126.87/128.33 (step @p158 :rule cong :premises (@p157) :args (@t35)) % 126.87/128.33 (step @p159 :rule refl :args (@t36)) % 126.87/128.33 (step @p160 :rule nary_cong :premises (@p159 @p158 @p152) :args (@t37)) % 126.87/128.33 (step @p161 :rule cong :premises (@p160) :args (@t39)) % 126.87/128.33 (step @p162 :rule trans :premises (@p161 @p147)) % 126.87/128.33 (step @p163 :rule cong :premises (@p162) :args (@t40)) % 126.87/128.33 (step @p164 :rule aci_norm :args ((= @t43 @t42))) % 126.87/128.33 (step @p165 :rule cong :premises (@p164) :args (@t45)) % 126.87/128.33 (step @p166 :rule refl :args (@t18)) % 126.87/128.33 (step @p167 :rule nary_cong :premises (@p166 @p155 @p165 @p163) :args (@t46)) % 126.87/128.33 (step @p168 :rule cong :premises (@p167) :args (@t47)) % 126.87/128.33 (step @p169 :rule trans :premises (@p168 @p143)) % 126.87/128.33 (step @p170 :rule cong :premises (@p169) :args (@t48)) % 126.87/128.33 (step @p171 :rule aci_norm :args ((= @t49 @t18))) % 126.87/128.33 (step @p172 :rule cong :premises (@p171) :args (@t50)) % 126.87/128.33 (step @p173 :rule refl :args (@t51)) % 126.87/128.33 (step @p174 :rule nary_cong :premises (@p173 @p172 @p170) :args (@t52)) % 126.87/128.33 (step @p175 :rule alpha_equiv :args (@t500 @t490 (@list @t361))) % 126.87/128.33 (step @p176 :rule cong :premises (@p175) :args (@t501)) % 126.87/128.33 (step @p177 :rule refl :args (@t362)) % 126.87/128.33 (step @p178 :rule refl :args (@t363)) % 126.87/128.33 (step @p179 :rule nary_cong :premises (@p178 @p177 @p176) :args (@t502)) % 126.87/128.33 (step @p180 :rule alpha_equiv :args (@t503 @t490 (@list @t364))) % 126.87/128.33 (step @p181 :rule refl :args (@t68)) % 126.87/128.33 (step @p182 :rule nary_cong :premises (@p181 @p180 @p179) :args (@t504)) % 126.87/128.33 (step @p183 :rule cong :premises (@p182) :args (@t505)) % 126.87/128.33 (step @p184 :rule cong :premises (@p183) :args (@t506)) % 126.87/128.33 (step @p185 :rule refl :args (@t366)) % 126.87/128.33 (step @p186 :rule nary_cong :premises (@p128 @p127 @p141 @p185 @p184) :args (@t507)) % 126.87/128.33 (step @p187 :rule cong :premises (@p186) :args ((forall @t8 @t507))) % 126.87/128.33 (step @p188 :rule aci_norm :args ((= (and @t363 (and @t362 @t501)) @t502))) % 126.87/128.33 (step @p189 :rule bool-or-de-morgan :args (@t57 @t500 false)) % 126.87/128.33 (step @p190 :rule nary_cong :premises (@p178 @p189) :args ((and @t363 (not (or @t57 @t500))))) % 126.87/128.33 (step @p191 :rule bool-or-de-morgan :args (@t58 @t57 (or @t500))) % 126.87/128.33 (step @p192 :rule trans :premises (@p191 @p190)) % 126.87/128.33 (step @p193 :rule trans :premises (@p192 @p188)) % 126.87/128.33 (step @p194 :rule refl :args (@t503)) % 126.87/128.33 (step @p195 :rule nary_cong :premises (@p181 @p194 @p193) :args (@t508)) % 126.87/128.33 (step @p196 :rule cong :premises (@p195) :args ((forall @t70 @t508))) % 126.87/128.33 (step @p197 :rule aci_norm :args ((= @t55 @t54))) % 126.87/128.33 (step @p198 :rule cong :premises (@p197) :args (@t56)) % 126.87/128.33 (step @p199 :rule refl :args (@t57)) % 126.87/128.33 (step @p200 :rule refl :args (@t58)) % 126.87/128.33 (step @p201 :rule nary_cong :premises (@p200 @p199 @p198) :args (@t59)) % 126.87/128.33 (step @p202 :rule cong :premises (@p201) :args (@t60)) % 126.87/128.33 (step @p203 :rule aci_norm :args ((= @t63 @t62))) % 126.87/128.33 (step @p204 :rule cong :premises (@p203) :args (@t65)) % 126.87/128.33 (step @p205 :rule refl :args (@t2)) % 126.87/128.33 (step @p206 :rule refl :args (@t54)) % 126.87/128.33 (step @p207 :rule nary_cong :premises (@p206 @p205 @p155 @p204) :args (@t66)) % 126.87/128.33 (step @p208 :rule cong :premises (@p207) :args (@t67)) % 126.87/128.33 (step @p209 :rule refl :args (@t68)) % 126.87/128.33 (step @p210 :rule nary_cong :premises (@p209 @p208 @p202) :args (@t69)) % 126.87/128.33 (step @p211 :rule cong :premises (@p210) :args (@t71)) % 126.87/128.33 (step @p212 :rule trans :premises (@p211 @p196)) % 126.87/128.33 (step @p213 :rule cong :premises (@p212) :args (@t72)) % 126.87/128.33 (step @p214 :rule aci_norm :args ((= @t75 @t74))) % 126.87/128.33 (step @p215 :rule cong :premises (@p214) :args (@t77)) % 126.87/128.33 (step @p216 :rule nary_cong :premises (@p166 @p205 @p155 @p215 @p213) :args (@t78)) % 126.87/128.33 (step @p217 :rule cong :premises (@p216) :args (@t79)) % 126.87/128.33 (step @p218 :rule trans :premises (@p217 @p187)) % 126.87/128.33 (step @p219 :rule cong :premises (@p218) :args (@t80)) % 126.87/128.33 (step @p220 :rule refl :args (@t81)) % 126.87/128.33 (step @p221 :rule nary_cong :premises (@p220 @p173 @p172 @p219) :args (@t82)) % 126.87/128.33 (step @p222 :rule alpha_equiv :args (@t509 @t490 (@list @t370))) % 126.87/128.33 (step @p223 :rule cong :premises (@p222) :args (@t510)) % 126.87/128.33 (step @p224 :rule refl :args (@t371)) % 126.87/128.33 (step @p225 :rule refl :args (@t372)) % 126.87/128.33 (step @p226 :rule refl :args (@t373)) % 126.87/128.33 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224 @p223) :args (@t511)) % 126.87/128.33 (step @p228 :rule alpha_equiv :args (@t512 @t490 (@list @t374))) % 126.87/128.33 (step @p229 :rule refl :args (@t100)) % 126.87/128.33 (step @p230 :rule nary_cong :premises (@p229 @p228 @p227) :args (@t513)) % 126.87/128.33 (step @p231 :rule cong :premises (@p230) :args (@t514)) % 126.87/128.33 (step @p232 :rule cong :premises (@p231) :args (@t515)) % 126.87/128.33 (step @p233 :rule refl :args (@t376)) % 126.87/128.33 (step @p234 :rule refl :args (@t97)) % 126.87/128.33 (step @p235 :rule nary_cong :premises (@p128 @p234 @p127 @p141 @p233 @p232) :args (@t516)) % 126.87/128.33 (step @p236 :rule cong :premises (@p235) :args ((forall @t8 @t516))) % 126.87/128.33 (step @p237 :rule aci_norm :args ((= (and @t373 (and @t372 (and @t371 @t510))) @t511))) % 126.87/128.33 (step @p238 :rule bool-or-de-morgan :args (@t87 @t509 false)) % 126.87/128.33 (step @p239 :rule nary_cong :premises (@p225 @p238) :args ((and @t372 (not (or @t87 @t509))))) % 126.87/128.33 (step @p240 :rule bool-or-de-morgan :args (@t88 @t87 (or @t509))) % 126.87/128.33 (step @p241 :rule trans :premises (@p240 @p239)) % 126.87/128.33 (step @p242 :rule nary_cong :premises (@p226 @p241) :args ((and @t373 (not (or @t88 @t87 @t509))))) % 126.87/128.33 (step @p243 :rule bool-or-de-morgan :args (@t89 @t88 (or @t87 @t509))) % 126.87/128.33 (step @p244 :rule trans :premises (@p243 @p242)) % 126.87/128.33 (step @p245 :rule trans :premises (@p244 @p237)) % 126.87/128.33 (step @p246 :rule refl :args (@t512)) % 126.87/128.33 (step @p247 :rule nary_cong :premises (@p229 @p246 @p245) :args (@t517)) % 126.87/128.33 (step @p248 :rule cong :premises (@p247) :args ((forall @t102 @t517))) % 126.87/128.33 (step @p249 :rule aci_norm :args ((= @t85 @t84))) % 126.87/128.33 (step @p250 :rule cong :premises (@p249) :args (@t86)) % 126.87/128.33 (step @p251 :rule refl :args (@t87)) % 126.87/128.33 (step @p252 :rule refl :args (@t88)) % 126.87/128.33 (step @p253 :rule refl :args (@t89)) % 126.87/128.33 (step @p254 :rule nary_cong :premises (@p253 @p252 @p251 @p250) :args (@t90)) % 126.87/128.33 (step @p255 :rule cong :premises (@p254) :args (@t91)) % 126.87/128.33 (step @p256 :rule aci_norm :args ((= @t94 @t93))) % 126.87/128.33 (step @p257 :rule cong :premises (@p256) :args (@t96)) % 126.87/128.33 (step @p258 :rule refl :args (@t97)) % 126.87/128.33 (step @p259 :rule refl :args (@t84)) % 126.87/128.33 (step @p260 :rule nary_cong :premises (@p259 @p258 @p205 @p155 @p257) :args (@t98)) % 126.87/128.33 (step @p261 :rule cong :premises (@p260) :args (@t99)) % 126.87/128.33 (step @p262 :rule refl :args (@t100)) % 126.87/128.33 (step @p263 :rule nary_cong :premises (@p262 @p261 @p255) :args (@t101)) % 126.87/128.33 (step @p264 :rule cong :premises (@p263) :args (@t103)) % 126.87/128.33 (step @p265 :rule trans :premises (@p264 @p248)) % 126.87/128.33 (step @p266 :rule cong :premises (@p265) :args (@t104)) % 126.87/128.33 (step @p267 :rule aci_norm :args ((= @t107 @t106))) % 126.87/128.33 (step @p268 :rule cong :premises (@p267) :args (@t109)) % 126.87/128.33 (step @p269 :rule nary_cong :premises (@p166 @p258 @p205 @p155 @p268 @p266) :args (@t110)) % 126.87/128.33 (step @p270 :rule cong :premises (@p269) :args (@t111)) % 126.87/128.33 (step @p271 :rule trans :premises (@p270 @p236)) % 126.87/128.33 (step @p272 :rule cong :premises (@p271) :args (@t112)) % 126.87/128.33 (step @p273 :rule refl :args (@t113)) % 126.87/128.33 (step @p274 :rule nary_cong :premises (@p273 @p220 @p173 @p172 @p272) :args (@t114)) % 126.87/128.33 (step @p275 :rule alpha_equiv :args (@t518 @t490 (@list @t380))) % 126.87/128.33 (step @p276 :rule cong :premises (@p275) :args (@t519)) % 126.87/128.33 (step @p277 :rule refl :args (@t381)) % 126.87/128.33 (step @p278 :rule refl :args (@t382)) % 126.87/128.33 (step @p279 :rule refl :args (@t383)) % 126.87/128.33 (step @p280 :rule refl :args (@t384)) % 126.87/128.33 (step @p281 :rule nary_cong :premises (@p280 @p279 @p278 @p277 @p276) :args (@t520)) % 126.87/128.33 (step @p282 :rule alpha_equiv :args (@t521 @t490 (@list @t385))) % 126.87/128.33 (step @p283 :rule refl :args (@t133)) % 126.87/128.33 (step @p284 :rule nary_cong :premises (@p283 @p282 @p281) :args (@t522)) % 126.87/128.33 (step @p285 :rule cong :premises (@p284) :args (@t523)) % 126.87/128.33 (step @p286 :rule cong :premises (@p285) :args (@t524)) % 126.87/128.33 (step @p287 :rule refl :args (@t387)) % 126.87/128.33 (step @p288 :rule refl :args (@t130)) % 126.87/128.33 (step @p289 :rule nary_cong :premises (@p128 @p288 @p234 @p127 @p141 @p287 @p286) :args (@t525)) % 126.87/128.33 (step @p290 :rule cong :premises (@p289) :args ((forall @t8 @t525))) % 126.87/128.33 (step @p291 :rule aci_norm :args ((= (and @t384 (and @t383 (and @t382 (and @t381 @t519)))) @t520))) % 126.87/128.33 (step @p292 :rule bool-or-de-morgan :args (@t119 @t518 false)) % 126.87/128.33 (step @p293 :rule nary_cong :premises (@p278 @p292) :args ((and @t382 (not (or @t119 @t518))))) % 126.87/128.33 (step @p294 :rule bool-or-de-morgan :args (@t120 @t119 (or @t518))) % 126.87/128.33 (step @p295 :rule trans :premises (@p294 @p293)) % 126.87/128.33 (step @p296 :rule nary_cong :premises (@p279 @p295) :args ((and @t383 (not (or @t120 @t119 @t518))))) % 126.87/128.33 (step @p297 :rule bool-or-de-morgan :args (@t121 @t120 (or @t119 @t518))) % 126.87/128.33 (step @p298 :rule trans :premises (@p297 @p296)) % 126.87/128.33 (step @p299 :rule nary_cong :premises (@p280 @p298) :args ((and @t384 (not (or @t121 @t120 @t119 @t518))))) % 126.87/128.33 (step @p300 :rule bool-or-de-morgan :args (@t122 @t121 (or @t120 @t119 @t518))) % 126.87/128.33 (step @p301 :rule trans :premises (@p300 @p299)) % 126.87/128.33 (step @p302 :rule trans :premises (@p301 @p291)) % 126.87/128.33 (step @p303 :rule refl :args (@t521)) % 126.87/128.33 (step @p304 :rule nary_cong :premises 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(step @p385 :rule refl :args (@t158)) % 126.87/128.33 (step @p386 :rule alpha_equiv :args (@t159 @t490 (@list @t397))) % 126.87/128.33 (step @p387 :rule refl :args (@t160)) % 126.87/128.33 (step @p388 :rule nary_cong :premises (@p387 @p386 @p385) :args (@t161)) % 126.87/128.33 (step @p389 :rule cong :premises (@p388) :args (@t163)) % 126.87/128.33 (step @p390 :rule cong :premises (@p389) :args (@t164)) % 126.87/128.33 (step @p391 :rule refl :args (@t152)) % 126.87/128.33 (step @p392 :rule nary_cong :premises (@p391 @p127 @p390) :args (@t165)) % 126.87/128.33 (step @p393 :rule cong :premises (@p392) :args (@t166)) % 126.87/128.33 (step @p394 :rule cong :premises (@p393) :args (@t167)) % 126.87/128.33 (step @p395 :rule alpha_equiv :args (@t172 @t490 (@list @t403))) % 126.87/128.33 (step @p396 :rule cong :premises (@p395) :args (@t173)) % 126.87/128.33 (step @p397 :rule refl :args (@t174)) % 126.87/128.33 (step @p398 :rule refl :args (@t175)) % 126.87/128.33 (step @p399 :rule nary_cong 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126.87/128.34 (step @p455 :rule refl :args (@t252)) % 126.87/128.34 (step @p456 :rule alpha_equiv :args (@t253 @t490 (@list @t429))) % 126.87/128.34 (step @p457 :rule refl :args (@t254)) % 126.87/128.34 (step @p458 :rule nary_cong :premises (@p457 @p456 @p455) :args (@t255)) % 126.87/128.34 (step @p459 :rule cong :premises (@p458) :args (@t257)) % 126.87/128.34 (step @p460 :rule cong :premises (@p459) :args (@t258)) % 126.87/128.34 (step @p461 :rule refl :args (@t260)) % 126.87/128.34 (step @p462 :rule nary_cong :premises (@p461 @p127 @p460) :args (@t261)) % 126.87/128.34 (step @p463 :rule cong :premises (@p462) :args (@t262)) % 126.87/128.34 (step @p464 :rule refl :args (@t263)) % 126.87/128.34 (step @p465 :rule nary_cong :premises (@p464 @p463) :args (@t264)) % 126.87/128.34 (step @p466 :rule cong :premises (@p465) :args (@t266)) % 126.87/128.34 (step @p467 :rule nary_cong :premises (@p466 @p454) :args (@t267)) % 126.87/128.34 (step @p468 :rule nary_cong :premises (@p467 @p453) :args 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(step @p706 :rule cnf_or_neg :args (@t630 0)) % 126.87/128.34 (step @p707 :rule eq_resolve :premises (@p706 @p705)) % 126.87/128.34 (step @p708 :rule reordering :premises (@p707) :args ((or @t621 @t630))) % 126.87/128.34 (step @p709 :rule chain_m_resolution :premises (@p708 @p651) :args (@t621 @t570 @t633)) % 126.87/128.34 (step @p710 :rule cnf_or_pos :args (@t623)) % 126.87/128.34 (step @p711 :rule reordering :premises (@p710) :args ((or @t622 @t620 @t619 @t617 (not @t623)))) % 126.87/128.34 (step @p712 :rule chain_m_resolution :premises (@p711 @p709 @p702 @p659 @p616) :args (@t617 (@list false true true false) (@list @t621 @t620 @t619 @t623))) % 126.87/128.34 (step @p713 :rule cnf_and_pos :args (@t617 1)) % 126.87/128.34 (step @p714 :rule reordering :premises (@p713) :args ((or @t614 @t653))) % 126.87/128.34 (step @p715 :rule chain_m_resolution :premises (@p714 @p712) :args (@t614 @t576 @t654)) % 126.87/128.34 (step @p716 :rule bool-double-not-elim :args (@t602)) % 126.87/128.34 (step @p717 :rule refl :args (@t605)) % 126.87/128.34 (step @p718 :rule nary_cong :premises (@p717 @p716) :args ((or @t605 (not @t603)))) % 126.87/128.34 (step @p719 :rule cnf_or_neg :args (@t605 1)) % 126.87/128.34 (step @p720 :rule eq_resolve :premises (@p719 @p718)) % 126.87/128.34 (step @p721 :rule reordering :premises (@p720) :args ((or @t602 @t605))) % 126.87/128.34 (step @p722 :rule chain_m_resolution :premises (@p721 @p639) :args (@t602 @t570 @t628)) % 126.87/128.34 (assume-push @p751 @t602) % 126.87/128.34 (step @p724 :rule instantiate :premises (@p751) :args (@t613)) % 126.87/128.34 (step-pop @p752 :rule scope :premises (@p724)) % 126.87/128.34 (step @p725 :rule process_scope :premises (@p752) :args (@t657)) % 126.87/128.34 (step @p727 :rule implies_elim :premises (@p725)) % 126.87/128.34 (step @p728 :rule chain_m_resolution :premises (@p727 @p722) :args (@t657 @t576 (@list @t602))) % 126.87/128.34 (step @p729 :rule cnf_and_pos :args (@t617 0)) % 126.87/128.34 (step @p730 :rule reordering :premises (@p729) :args ((or @t616 @t653))) % 126.87/128.34 (step @p731 :rule chain_m_resolution :premises (@p730 @p712) :args (@t616 @t576 @t654)) % 126.87/128.34 (step @p732 :rule cnf_or_pos :args (@t657)) % 126.87/128.34 (step @p733 :rule reordering :premises (@p732) :args ((or @t622 @t615 @t656 (not @t657)))) % 126.87/128.34 (step @p734 :rule chain_m_resolution :premises (@p733 @p709 @p731 @p728) :args (@t656 @t587 (@list @t621 @t615 @t657))) % 126.87/128.34 (step @p735 :rule alpha_equiv :args (@t614 (@list @t391 @t148) (@list @t424 @t239))) % 126.87/128.34 (step @p736 :rule equiv_elim1 :premises (@p735)) % 126.87/128.34 (step @p737 :rule reordering :premises (@p736) :args ((or @t655 (not @t614)))) % 126.87/128.34 (step @p738 false :rule chain_m_resolution :premises (@p737 @p734 @p715) :args (false @t593 (@list @t655 @t614))) % 126.87/128.34 ) % 126.87/128.34 % SZS output end Proof % 126.87/128.34 % cvc5 exiting %------------------------------------------------------------------------------