%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL658+1.010 : 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 : n003.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 11:23:23 AM UTC 2026 % Result : Theorem 127.79s 129.22s % Output : Proof 127.79s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL658+1.010 : 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 : n003.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 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Sat Sep 5 16:56:36 UTC 2026 % 0.14/0.36 % CPUTime : % 0.14/0.44 %----Proving TF0_NAR, FOF, or CNF % 127.79/129.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 127.79/129.22 --- Run --no-e-matching --full-saturate-quant at 6... % 127.79/129.22 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 127.79/129.22 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 127.79/129.22 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 127.79/129.22 --- Run --trigger-sel=max --full-saturate-quant at 15... % 127.79/129.22 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 127.79/129.22 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.79/129.22 --- Run --prenex-quant=none --full-saturate-quant at 30... % 127.79/129.22 % SZS status Theorem % 127.79/129.22 % SZS output start Proof % 127.79/129.22 ( % 127.79/129.22 (declare-sort $$unsorted 0) % 127.79/129.22 (declare-const tptp.p1 (-> $$unsorted Bool)) % 127.79/129.22 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 127.79/129.22 (define @t1 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t2 () (@list @t1)) % 127.79/129.22 (define @t3 () (tptp.p1 @t1)) % 127.79/129.22 (define @t4 () (@var "Y" $$unsorted)) % 127.79/129.22 (define @t5 () (not (tptp.r1 @t4 @t1))) % 127.79/129.22 (define @t6 () (forall @t2 (or @t5 @t3))) % 127.79/129.22 (define @t7 () (not @t6)) % 127.79/129.22 (define @t8 () (tptp.p1 @t4)) % 127.79/129.22 (define @t9 () (not (tptp.r1 @t1 @t4))) % 127.79/129.22 (define @t10 () (@list @t4)) % 127.79/129.22 (define @t11 () (forall @t10 (or @t9 @t8))) % 127.79/129.22 (define @t12 () (or @t5 @t11)) % 127.79/129.22 (define @t13 () (forall @t2 @t12)) % 127.79/129.22 (define @t14 () (or @t9 @t13 @t7)) % 127.79/129.22 (define @t15 () (forall @t10 @t14)) % 127.79/129.22 (define @t16 () (not @t11)) % 127.79/129.22 (define @t17 () (or @t9 @t6)) % 127.79/129.22 (define @t18 () (forall @t10 @t17)) % 127.79/129.22 (define @t19 () (or @t5 @t18 @t16)) % 127.79/129.22 (define @t20 () (forall @t2 @t19)) % 127.79/129.22 (define @t21 () (or @t9 @t20)) % 127.79/129.22 (define @t22 () (forall @t10 @t21)) % 127.79/129.22 (define @t23 () (or @t5 @t15)) % 127.79/129.22 (define @t24 () (forall @t2 @t23)) % 127.79/129.22 (define @t25 () (or @t9 @t24)) % 127.79/129.22 (define @t26 () (forall @t10 @t25)) % 127.79/129.22 (define @t27 () (or @t5 @t22)) % 127.79/129.22 (define @t28 () (forall @t2 @t27)) % 127.79/129.22 (define @t29 () (or @t9 @t28)) % 127.79/129.22 (define @t30 () (forall @t10 @t29)) % 127.79/129.22 (define @t31 () (or @t5 @t26)) % 127.79/129.22 (define @t32 () (forall @t2 @t31)) % 127.79/129.22 (define @t33 () (or @t9 @t32)) % 127.79/129.22 (define @t34 () (forall @t10 @t33)) % 127.79/129.22 (define @t35 () (not @t3)) % 127.79/129.22 (define @t36 () (or @t5 @t11 @t35)) % 127.79/129.22 (define @t37 () (forall @t2 @t36)) % 127.79/129.22 (define @t38 () (not @t37)) % 127.79/129.22 (define @t39 () (or @t9 @t8 @t38)) % 127.79/129.22 (define @t40 () (forall @t10 @t39)) % 127.79/129.22 (define @t41 () (not @t40)) % 127.79/129.22 (define @t42 () (or @t9 @t7)) % 127.79/129.22 (define @t43 () (forall @t10 @t42)) % 127.79/129.22 (define @t44 () (or @t5 @t11 @t43 @t41)) % 127.79/129.22 (define @t45 () (forall @t2 @t44)) % 127.79/129.22 (define @t46 () (or @t9 @t45)) % 127.79/129.22 (define @t47 () (forall @t10 @t46)) % 127.79/129.22 (define @t48 () (or @t5 @t47)) % 127.79/129.22 (define @t49 () (forall @t2 @t48)) % 127.79/129.22 (define @t50 () (or @t9 @t49)) % 127.79/129.22 (define @t51 () (forall @t10 @t50)) % 127.79/129.22 (define @t52 () (or @t5 @t51)) % 127.79/129.22 (define @t53 () (forall @t2 @t52)) % 127.79/129.22 (define @t54 () (or @t9 @t53)) % 127.79/129.22 (define @t55 () (forall @t10 @t54)) % 127.79/129.22 (define @t56 () (not @t55)) % 127.79/129.22 (define @t57 () (and @t56 @t34 @t30 @t26 @t22 @t15)) % 127.79/129.22 (define @t58 () (not @t57)) % 127.79/129.22 (define @t59 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t60 () (not (tptp.p1 @t59))) % 127.79/129.22 (define @t61 () (forall @t10 (or (not (tptp.r1 @t59 @t4)) @t8))) % 127.79/129.22 (define @t62 () (not (tptp.r1 @t4 @t59))) % 127.79/129.22 (define @t63 () (or @t62 @t61 @t60)) % 127.79/129.22 (define @t64 () (@list @t59)) % 127.79/129.22 (define @t65 () (forall @t64 @t63)) % 127.79/129.22 (define @t66 () (not @t65)) % 127.79/129.22 (define @t67 () (or @t9 @t8 @t66)) % 127.79/129.22 (define @t68 () (forall @t10 @t67)) % 127.79/129.22 (define @t69 () (not @t68)) % 127.79/129.22 (define @t70 () (not @t8)) % 127.79/129.22 (define @t71 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t72 () (tptp.p1 @t71)) % 127.79/129.22 (define @t73 () (@list @t71)) % 127.79/129.22 (define @t74 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t75 () (forall @t10 (or (not (tptp.r1 @t74 @t4)) (forall @t73 (or (not (tptp.r1 @t4 @t71)) @t72)) @t70))) % 127.79/129.22 (define @t76 () (not @t75)) % 127.79/129.22 (define @t77 () (tptp.p1 @t74)) % 127.79/129.22 (define @t78 () (not (tptp.r1 @t4 @t74))) % 127.79/129.22 (define @t79 () (or @t78 @t77 @t76)) % 127.79/129.22 (define @t80 () (@list @t74)) % 127.79/129.22 (define @t81 () (forall @t80 @t79)) % 127.79/129.22 (define @t82 () (or @t9 @t81)) % 127.79/129.22 (define @t83 () (forall @t10 @t82)) % 127.79/129.22 (define @t84 () (or @t83 @t69)) % 127.79/129.22 (define @t85 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t86 () (tptp.p1 @t85)) % 127.79/129.22 (define @t87 () (@list @t85)) % 127.79/129.22 (define @t88 () (not (forall @t87 (or (not (tptp.r1 @t4 @t85)) @t86)))) % 127.79/129.22 (define @t89 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t90 () (forall @t10 (or (not (tptp.r1 @t89 @t4)) @t8))) % 127.79/129.22 (define @t91 () (not (tptp.r1 @t4 @t89))) % 127.79/129.22 (define @t92 () (or @t91 @t90)) % 127.79/129.22 (define @t93 () (@list @t89)) % 127.79/129.22 (define @t94 () (forall @t93 @t92)) % 127.79/129.22 (define @t95 () (or @t9 @t94 @t88)) % 127.79/129.22 (define @t96 () (forall @t10 @t95)) % 127.79/129.22 (define @t97 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t98 () (not (tptp.p1 @t97))) % 127.79/129.22 (define @t99 () (forall @t10 (or (not (tptp.r1 @t97 @t4)) @t8))) % 127.79/129.22 (define @t100 () (not (tptp.r1 @t4 @t97))) % 127.79/129.22 (define @t101 () (or @t100 @t99 @t98)) % 127.79/129.22 (define @t102 () (@list @t97)) % 127.79/129.22 (define @t103 () (forall @t102 @t101)) % 127.79/129.22 (define @t104 () (not @t103)) % 127.79/129.22 (define @t105 () (or @t9 @t8 @t104)) % 127.79/129.22 (define @t106 () (forall @t10 @t105)) % 127.79/129.22 (define @t107 () (not @t106)) % 127.79/129.22 (define @t108 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t109 () (tptp.p1 @t108)) % 127.79/129.22 (define @t110 () (@list @t108)) % 127.79/129.22 (define @t111 () (forall @t10 (or @t9 (not (forall @t110 (or (not (tptp.r1 @t4 @t108)) @t109)))))) % 127.79/129.22 (define @t112 () (or @t3 @t111 @t107)) % 127.79/129.22 (define @t113 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t114 () (tptp.p1 @t113)) % 127.79/129.22 (define @t115 () (not @t114)) % 127.79/129.22 (define @t116 () (not (tptp.r1 @t113 @t4))) % 127.79/129.22 (define @t117 () (forall @t10 (or @t116 @t8))) % 127.79/129.22 (define @t118 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t119 () (tptp.p1 @t118)) % 127.79/129.22 (define @t120 () (@list @t118)) % 127.79/129.22 (define @t121 () (forall @t10 (or @t116 (forall @t120 (or (not (tptp.r1 @t4 @t118)) @t119)) @t70))) % 127.79/129.22 (define @t122 () (not (tptp.r1 @t4 @t113))) % 127.79/129.22 (define @t123 () (or @t122 @t121 (not (or @t117 @t115)))) % 127.79/129.22 (define @t124 () (@list @t113)) % 127.79/129.22 (define @t125 () (forall @t124 @t123)) % 127.79/129.22 (define @t126 () (not @t125)) % 127.79/129.22 (define @t127 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t128 () (tptp.p1 @t127)) % 127.79/129.22 (define @t129 () (@list @t127)) % 127.79/129.22 (define @t130 () (forall @t129 (or (not (tptp.r1 @t4 @t127)) @t128))) % 127.79/129.22 (define @t131 () (or @t9 @t130 @t70 @t126)) % 127.79/129.22 (define @t132 () (forall @t10 @t131)) % 127.79/129.22 (define @t133 () (not @t132)) % 127.79/129.22 (define @t134 () (@var "X" $$unsorted)) % 127.79/129.22 (define @t135 () (not (tptp.p1 @t134))) % 127.79/129.22 (define @t136 () (forall @t10 (or (not (tptp.r1 @t134 @t4)) @t8))) % 127.79/129.22 (define @t137 () (not (tptp.r1 @t4 @t134))) % 127.79/129.22 (define @t138 () (or @t137 @t136 @t135)) % 127.79/129.22 (define @t139 () (@list @t134)) % 127.79/129.22 (define @t140 () (forall @t139 @t138)) % 127.79/129.22 (define @t141 () (not @t140)) % 127.79/129.22 (define @t142 () (or @t9 @t141)) % 127.79/129.22 (define @t143 () (forall @t10 @t142)) % 127.79/129.22 (define @t144 () (or @t11 @t35 @t143 @t133)) % 127.79/129.22 (define @t145 () (and @t144 @t112 @t96 @t84)) % 127.79/129.22 (define @t146 () (or @t5 @t145)) % 127.79/129.22 (define @t147 () (forall @t2 @t146)) % 127.79/129.22 (define @t148 () (or @t9 @t147)) % 127.79/129.22 (define @t149 () (forall @t10 @t148)) % 127.79/129.22 (define @t150 () (or @t5 @t149)) % 127.79/129.22 (define @t151 () (forall @t2 @t150)) % 127.79/129.22 (define @t152 () (or @t9 @t151)) % 127.79/129.22 (define @t153 () (forall @t10 @t152)) % 127.79/129.22 (define @t154 () (or @t5 @t153)) % 127.79/129.22 (define @t155 () (forall @t2 @t154)) % 127.79/129.22 (define @t156 () (or @t9 @t155)) % 127.79/129.22 (define @t157 () (forall @t10 @t156)) % 127.79/129.22 (define @t158 () (not @t157)) % 127.79/129.22 (define @t159 () (or @t5 @t34)) % 127.79/129.22 (define @t160 () (forall @t2 @t159)) % 127.79/129.22 (define @t161 () (or @t9 @t160)) % 127.79/129.22 (define @t162 () (forall @t10 @t161)) % 127.79/129.22 (define @t163 () (not @t162)) % 127.79/129.22 (define @t164 () (or @t5 @t30)) % 127.79/129.22 (define @t165 () (forall @t2 @t164)) % 127.79/129.22 (define @t166 () (or @t9 @t165)) % 127.79/129.22 (define @t167 () (forall @t10 @t166)) % 127.79/129.22 (define @t168 () (or @t5 @t167)) % 127.79/129.22 (define @t169 () (forall @t2 @t168)) % 127.79/129.22 (define @t170 () (or @t9 @t169)) % 127.79/129.22 (define @t171 () (forall @t10 @t170)) % 127.79/129.22 (define @t172 () (not @t171)) % 127.79/129.22 (define @t173 () (or @t5 @t162)) % 127.79/129.22 (define @t174 () (forall @t2 @t173)) % 127.79/129.22 (define @t175 () (or @t9 @t174)) % 127.79/129.22 (define @t176 () (forall @t10 @t175)) % 127.79/129.22 (define @t177 () (not @t176)) % 127.79/129.22 (define @t178 () (or @t177 @t172 @t163 @t158 @t58)) % 127.79/129.22 (define @t179 () (not @t178)) % 127.79/129.22 (define @t180 () (exists @t2 @t179)) % 127.79/129.22 (define @t181 () (@var "BOUND_VARIABLE_8504" $$unsorted)) % 127.79/129.22 (define @t182 () (not (forall (@list @t181) (or (not (tptp.r1 @t4 @t181)) (tptp.p1 @t181))))) % 127.79/129.22 (define @t183 () (@var "BOUND_VARIABLE_7686" $$unsorted)) % 127.79/129.22 (define @t184 () (tptp.p1 @t183)) % 127.79/129.22 (define @t185 () (@var "BOUND_VARIABLE_8513" $$unsorted)) % 127.79/129.22 (define @t186 () (@list @t183)) % 127.79/129.22 (define @t187 () (forall (@list @t185) (or (not (tptp.r1 @t4 @t185)) (forall @t186 (or (not (tptp.r1 @t185 @t183)) @t184))))) % 127.79/129.22 (define @t188 () (forall @t10 (or @t9 @t187 @t182))) % 127.79/129.22 (define @t189 () (not @t188)) % 127.79/129.22 (define @t190 () (@var "BOUND_VARIABLE_7863" $$unsorted)) % 127.79/129.22 (define @t191 () (tptp.p1 @t190)) % 127.79/129.22 (define @t192 () (@var "BOUND_VARIABLE_8526" $$unsorted)) % 127.79/129.22 (define @t193 () (@list @t190)) % 127.79/129.22 (define @t194 () (@var "BOUND_VARIABLE_7849" $$unsorted)) % 127.79/129.22 (define @t195 () (tptp.p1 @t194)) % 127.79/129.22 (define @t196 () (@var "BOUND_VARIABLE_7872" $$unsorted)) % 127.79/129.22 (define @t197 () (@list @t194)) % 127.79/129.22 (define @t198 () (forall @t197 (or (not (tptp.r1 @t196 @t194)) @t195))) % 127.79/129.22 (define @t199 () (@list @t196)) % 127.79/129.22 (define @t200 () (forall (@list @t192) (or (not (tptp.r1 @t4 @t192)) (forall @t199 (or (not (tptp.r1 @t192 @t196)) @t198)) (not (forall @t193 (or (not (tptp.r1 @t192 @t190)) @t191)))))) % 127.79/129.22 (define @t201 () (forall @t10 (or @t9 @t200))) % 127.79/129.22 (define @t202 () (not @t201)) % 127.79/129.22 (define @t203 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 127.79/129.22 (define @t204 () (tptp.p1 @t203)) % 127.79/129.22 (define @t205 () (@var "BOUND_VARIABLE_7726" $$unsorted)) % 127.79/129.22 (define @t206 () (@list @t203)) % 127.79/129.22 (define @t207 () (not (forall @t206 (or (not (tptp.r1 @t205 @t203)) @t204)))) % 127.79/129.22 (define @t208 () (@var "BOUND_VARIABLE_7709" $$unsorted)) % 127.79/129.22 (define @t209 () (forall @t186 (or (not (tptp.r1 @t208 @t183)) @t184))) % 127.79/129.22 (define @t210 () (@list @t208)) % 127.79/129.22 (define @t211 () (forall @t210 (or (not (tptp.r1 @t205 @t208)) @t209))) % 127.79/129.22 (define @t212 () (@var "BOUND_VARIABLE_8544" $$unsorted)) % 127.79/129.22 (define @t213 () (@list @t205)) % 127.79/129.22 (define @t214 () (forall (@list @t212) (or (not (tptp.r1 @t4 @t212)) (forall @t213 (or (not (tptp.r1 @t212 @t205)) @t211 @t207))))) % 127.79/129.22 (define @t215 () (forall @t10 (or @t9 @t214))) % 127.79/129.22 (define @t216 () (not @t215)) % 127.79/129.22 (define @t217 () (@var "BOUND_VARIABLE_7889" $$unsorted)) % 127.79/129.22 (define @t218 () (not (forall @t193 (or (not (tptp.r1 @t217 @t190)) @t191)))) % 127.79/129.22 (define @t219 () (forall @t199 (or (not (tptp.r1 @t217 @t196)) @t198))) % 127.79/129.22 (define @t220 () (@var "BOUND_VARIABLE_7911" $$unsorted)) % 127.79/129.22 (define @t221 () (@list @t217)) % 127.79/129.22 (define @t222 () (forall @t221 (or (not (tptp.r1 @t220 @t217)) @t219 @t218))) % 127.79/129.22 (define @t223 () (@var "BOUND_VARIABLE_8557" $$unsorted)) % 127.79/129.22 (define @t224 () (@list @t220)) % 127.79/129.22 (define @t225 () (forall (@list @t223) (or (not (tptp.r1 @t4 @t223)) (forall @t224 (or (not (tptp.r1 @t223 @t220)) @t222))))) % 127.79/129.22 (define @t226 () (forall @t10 (or @t9 @t225))) % 127.79/129.22 (define @t227 () (not @t226)) % 127.79/129.22 (define @t228 () (@var "BOUND_VARIABLE_7748" $$unsorted)) % 127.79/129.22 (define @t229 () (forall @t213 (or (not (tptp.r1 @t228 @t205)) @t211 @t207))) % 127.79/129.22 (define @t230 () (@var "BOUND_VARIABLE_7765" $$unsorted)) % 127.79/129.22 (define @t231 () (@list @t228)) % 127.79/129.22 (define @t232 () (forall @t231 (or (not (tptp.r1 @t230 @t228)) @t229))) % 127.79/129.22 (define @t233 () (@var "BOUND_VARIABLE_8570" $$unsorted)) % 127.79/129.22 (define @t234 () (@list @t230)) % 127.79/129.22 (define @t235 () (forall (@list @t233) (or (not (tptp.r1 @t4 @t233)) (forall @t234 (or (not (tptp.r1 @t233 @t230)) @t232))))) % 127.79/129.22 (define @t236 () (forall @t10 (or @t9 @t235))) % 127.79/129.22 (define @t237 () (not @t236)) % 127.79/129.22 (define @t238 () (@var "BOUND_VARIABLE_8347" $$unsorted)) % 127.79/129.22 (define @t239 () (not (tptp.p1 @t238))) % 127.79/129.22 (define @t240 () (@var "BOUND_VARIABLE_8331" $$unsorted)) % 127.79/129.22 (define @t241 () (tptp.p1 @t240)) % 127.79/129.22 (define @t242 () (@list @t240)) % 127.79/129.22 (define @t243 () (forall @t242 (or (not (tptp.r1 @t238 @t240)) @t241))) % 127.79/129.22 (define @t244 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 127.79/129.22 (define @t245 () (@list @t238)) % 127.79/129.22 (define @t246 () (not (forall @t245 (or (not (tptp.r1 @t244 @t238)) @t243 @t239)))) % 127.79/129.22 (define @t247 () (tptp.p1 @t244)) % 127.79/129.22 (define @t248 () (@var "BOUND_VARIABLE_8419" $$unsorted)) % 127.79/129.22 (define @t249 () (@list @t244)) % 127.79/129.22 (define @t250 () (not (forall @t249 (or (not (tptp.r1 @t248 @t244)) @t247 @t246)))) % 127.79/129.22 (define @t251 () (@var "BOUND_VARIABLE_8364" $$unsorted)) % 127.79/129.22 (define @t252 () (tptp.p1 @t251)) % 127.79/129.22 (define @t253 () (@var "BOUND_VARIABLE_8393" $$unsorted)) % 127.79/129.22 (define @t254 () (@list @t251)) % 127.79/129.22 (define @t255 () (not (forall @t254 (or (not (tptp.r1 @t253 @t251)) @t252)))) % 127.79/129.22 (define @t256 () (@list @t253)) % 127.79/129.22 (define @t257 () (forall @t256 (or (not (tptp.r1 @t248 @t253)) @t255))) % 127.79/129.22 (define @t258 () (@var "BOUND_VARIABLE_8405" $$unsorted)) % 127.79/129.22 (define @t259 () (tptp.p1 @t258)) % 127.79/129.22 (define @t260 () (@list @t258)) % 127.79/129.22 (define @t261 () (forall @t260 (or (not (tptp.r1 @t248 @t258)) @t259))) % 127.79/129.22 (define @t262 () (@var "BOUND_VARIABLE_8445" $$unsorted)) % 127.79/129.22 (define @t263 () (@list @t248)) % 127.79/129.22 (define @t264 () (forall @t263 (or (not (tptp.r1 @t262 @t248)) @t261 @t257 @t250))) % 127.79/129.22 (define @t265 () (@var "BOUND_VARIABLE_8462" $$unsorted)) % 127.79/129.22 (define @t266 () (@list @t262)) % 127.79/129.22 (define @t267 () (forall @t266 (or (not (tptp.r1 @t265 @t262)) @t264))) % 127.79/129.22 (define @t268 () (@var "BOUND_VARIABLE_8479" $$unsorted)) % 127.79/129.22 (define @t269 () (@list @t265)) % 127.79/129.22 (define @t270 () (forall @t269 (or (not (tptp.r1 @t268 @t265)) @t267))) % 127.79/129.22 (define @t271 () (@var "BOUND_VARIABLE_8583" $$unsorted)) % 127.79/129.22 (define @t272 () (@list @t268)) % 127.79/129.22 (define @t273 () (forall @t272 (or (not (tptp.r1 @t271 @t268)) @t270))) % 127.79/129.22 (define @t274 () (@list @t271)) % 127.79/129.22 (define @t275 () (forall @t274 (or (not (tptp.r1 @t4 @t271)) @t273))) % 127.79/129.22 (define @t276 () (forall @t10 (or @t9 @t275))) % 127.79/129.22 (define @t277 () (@var "BOUND_VARIABLE_8091" $$unsorted)) % 127.79/129.22 (define @t278 () (forall (@list @t277) (or (not (tptp.r1 @t59 @t277)) (tptp.p1 @t277)))) % 127.79/129.22 (define @t279 () (@var "BOUND_VARIABLE_8111" $$unsorted)) % 127.79/129.22 (define @t280 () (not (forall @t64 (or (not (tptp.r1 @t279 @t59)) @t278 @t60)))) % 127.79/129.22 (define @t281 () (tptp.p1 @t279)) % 127.79/129.22 (define @t282 () (@var "BOUND_VARIABLE_8227" $$unsorted)) % 127.79/129.22 (define @t283 () (@list @t279)) % 127.79/129.22 (define @t284 () (@var "BOUND_VARIABLE_8073" $$unsorted)) % 127.79/129.22 (define @t285 () (not (forall (@list @t284) (or (not (tptp.r1 @t74 @t284)) (forall @t73 (or (not (tptp.r1 @t284 @t71)) @t72)) (not (tptp.p1 @t284)))))) % 127.79/129.22 (define @t286 () (@var "BOUND_VARIABLE_8125" $$unsorted)) % 127.79/129.22 (define @t287 () (forall @t80 (or (not (tptp.r1 @t286 @t74)) @t77 @t285))) % 127.79/129.22 (define @t288 () (@list @t286)) % 127.79/129.22 (define @t289 () (@var "BOUND_VARIABLE_8137" $$unsorted)) % 127.79/129.22 (define @t290 () (not (forall @t87 (or (not (tptp.r1 @t289 @t85)) @t86)))) % 127.79/129.22 (define @t291 () (@var "BOUND_VARIABLE_8061" $$unsorted)) % 127.79/129.22 (define @t292 () (forall (@list @t291) (or (not (tptp.r1 @t89 @t291)) (tptp.p1 @t291)))) % 127.79/129.22 (define @t293 () (forall @t93 (or (not (tptp.r1 @t289 @t89)) @t292))) % 127.79/129.22 (define @t294 () (@list @t289)) % 127.79/129.22 (define @t295 () (@var "BOUND_VARIABLE_8046" $$unsorted)) % 127.79/129.22 (define @t296 () (forall (@list @t295) (or (not (tptp.r1 @t97 @t295)) (tptp.p1 @t295)))) % 127.79/129.22 (define @t297 () (@var "BOUND_VARIABLE_8153" $$unsorted)) % 127.79/129.22 (define @t298 () (not (forall @t102 (or (not (tptp.r1 @t297 @t97)) @t296 @t98)))) % 127.79/129.22 (define @t299 () (tptp.p1 @t297)) % 127.79/129.22 (define @t300 () (@list @t297)) % 127.79/129.22 (define @t301 () (@var "BOUND_VARIABLE_8167" $$unsorted)) % 127.79/129.22 (define @t302 () (not (forall @t110 (or (not (tptp.r1 @t301 @t108)) @t109)))) % 127.79/129.22 (define @t303 () (@list @t301)) % 127.79/129.22 (define @t304 () (tptp.p1 @t282)) % 127.79/129.22 (define @t305 () (@var "BOUND_VARIABLE_8016" $$unsorted)) % 127.79/129.22 (define @t306 () (tptp.p1 @t305)) % 127.79/129.22 (define @t307 () (@list @t305)) % 127.79/129.22 (define @t308 () (and (not (forall @t307 (or (not (tptp.r1 @t113 @t305)) @t306))) @t114)) % 127.79/129.22 (define @t309 () (@var "BOUND_VARIABLE_8026" $$unsorted)) % 127.79/129.22 (define @t310 () (not (tptp.p1 @t309))) % 127.79/129.22 (define @t311 () (forall @t120 (or (not (tptp.r1 @t309 @t118)) @t119))) % 127.79/129.22 (define @t312 () (@list @t309)) % 127.79/129.22 (define @t313 () (forall @t312 (or (not (tptp.r1 @t113 @t309)) @t311 @t310))) % 127.79/129.22 (define @t314 () (@var "BOUND_VARIABLE_8180" $$unsorted)) % 127.79/129.22 (define @t315 () (not (forall @t124 (or (not (tptp.r1 @t314 @t113)) @t313 @t308)))) % 127.79/129.22 (define @t316 () (not (tptp.p1 @t314))) % 127.79/129.22 (define @t317 () (forall @t129 (or (not (tptp.r1 @t314 @t127)) @t128))) % 127.79/129.22 (define @t318 () (@list @t314)) % 127.79/129.22 (define @t319 () (@var "BOUND_VARIABLE_7996" $$unsorted)) % 127.79/129.22 (define @t320 () (forall (@list @t319) (or (not (tptp.r1 @t134 @t319)) (tptp.p1 @t319)))) % 127.79/129.22 (define @t321 () (@var "BOUND_VARIABLE_8199" $$unsorted)) % 127.79/129.22 (define @t322 () (not (forall @t139 (or (not (tptp.r1 @t321 @t134)) @t320 @t135)))) % 127.79/129.22 (define @t323 () (@list @t321)) % 127.79/129.22 (define @t324 () (@var "BOUND_VARIABLE_8211" $$unsorted)) % 127.79/129.22 (define @t325 () (tptp.p1 @t324)) % 127.79/129.22 (define @t326 () (@list @t324)) % 127.79/129.22 (define @t327 () (and (or (forall @t326 (or (not (tptp.r1 @t282 @t324)) @t325)) (not @t304) (forall @t323 (or (not (tptp.r1 @t282 @t321)) @t322)) (not (forall @t318 (or (not (tptp.r1 @t282 @t314)) @t317 @t316 @t315)))) (or @t304 (forall @t303 (or (not (tptp.r1 @t282 @t301)) @t302)) (not (forall @t300 (or (not (tptp.r1 @t282 @t297)) @t299 @t298)))) (forall @t294 (or (not (tptp.r1 @t282 @t289)) @t293 @t290)) (or (forall @t288 (or (not (tptp.r1 @t282 @t286)) @t287)) (not (forall @t283 (or (not (tptp.r1 @t282 @t279)) @t281 @t280)))))) % 127.79/129.22 (define @t328 () (@var "BOUND_VARIABLE_8281" $$unsorted)) % 127.79/129.22 (define @t329 () (@list @t282)) % 127.79/129.22 (define @t330 () (forall @t329 (or (not (tptp.r1 @t328 @t282)) @t327))) % 127.79/129.22 (define @t331 () (@var "BOUND_VARIABLE_8298" $$unsorted)) % 127.79/129.22 (define @t332 () (@list @t328)) % 127.79/129.22 (define @t333 () (forall @t332 (or (not (tptp.r1 @t331 @t328)) @t330))) % 127.79/129.22 (define @t334 () (@var "BOUND_VARIABLE_8315" $$unsorted)) % 127.79/129.22 (define @t335 () (@list @t331)) % 127.79/129.22 (define @t336 () (forall @t335 (or (not (tptp.r1 @t334 @t331)) @t333))) % 127.79/129.22 (define @t337 () (@var "BOUND_VARIABLE_8599" $$unsorted)) % 127.79/129.22 (define @t338 () (@list @t334)) % 127.79/129.22 (define @t339 () (forall @t338 (or (not (tptp.r1 @t337 @t334)) @t336))) % 127.79/129.22 (define @t340 () (@list @t337)) % 127.79/129.22 (define @t341 () (forall @t340 (or (not (tptp.r1 @t4 @t337)) @t339))) % 127.79/129.22 (define @t342 () (not (forall @t10 (or @t9 @t341)))) % 127.79/129.22 (define @t343 () (@var "BOUND_VARIABLE_7782" $$unsorted)) % 127.79/129.22 (define @t344 () (forall @t234 (or (not (tptp.r1 @t343 @t230)) @t232))) % 127.79/129.22 (define @t345 () (@var "BOUND_VARIABLE_7799" $$unsorted)) % 127.79/129.22 (define @t346 () (@list @t343)) % 127.79/129.22 (define @t347 () (forall @t346 (or (not (tptp.r1 @t345 @t343)) @t344))) % 127.79/129.22 (define @t348 () (@var "BOUND_VARIABLE_8613" $$unsorted)) % 127.79/129.22 (define @t349 () (@list @t345)) % 127.79/129.22 (define @t350 () (forall @t349 (or (not (tptp.r1 @t348 @t345)) @t347))) % 127.79/129.22 (define @t351 () (@list @t348)) % 127.79/129.22 (define @t352 () (forall @t351 (or (not (tptp.r1 @t4 @t348)) @t350))) % 127.79/129.22 (define @t353 () (not (forall @t10 (or @t9 @t352)))) % 127.79/129.22 (define @t354 () (@var "BOUND_VARIABLE_7928" $$unsorted)) % 127.79/129.22 (define @t355 () (forall @t224 (or (not (tptp.r1 @t354 @t220)) @t222))) % 127.79/129.22 (define @t356 () (@var "BOUND_VARIABLE_7945" $$unsorted)) % 127.79/129.22 (define @t357 () (@list @t354)) % 127.79/129.22 (define @t358 () (forall @t357 (or (not (tptp.r1 @t356 @t354)) @t355))) % 127.79/129.22 (define @t359 () (@var "BOUND_VARIABLE_7962" $$unsorted)) % 127.79/129.22 (define @t360 () (@list @t356)) % 127.79/129.22 (define @t361 () (forall @t360 (or (not (tptp.r1 @t359 @t356)) @t358))) % 127.79/129.22 (define @t362 () (@var "BOUND_VARIABLE_7979" $$unsorted)) % 127.79/129.22 (define @t363 () (@list @t359)) % 127.79/129.22 (define @t364 () (forall @t363 (or (not (tptp.r1 @t362 @t359)) @t361))) % 127.79/129.22 (define @t365 () (@var "BOUND_VARIABLE_8627" $$unsorted)) % 127.79/129.22 (define @t366 () (@list @t362)) % 127.79/129.22 (define @t367 () (forall (@list @t365) (or (not (tptp.r1 @t4 @t365)) (forall @t366 (or (not (tptp.r1 @t365 @t362)) @t364))))) % 127.79/129.22 (define @t368 () (not (forall @t10 (or @t9 @t367)))) % 127.79/129.22 (define @t369 () (@var "BOUND_VARIABLE_7816" $$unsorted)) % 127.79/129.22 (define @t370 () (forall @t349 (or (not (tptp.r1 @t369 @t345)) @t347))) % 127.79/129.22 (define @t371 () (@var "BOUND_VARIABLE_7833" $$unsorted)) % 127.79/129.22 (define @t372 () (@list @t369)) % 127.79/129.22 (define @t373 () (forall @t372 (or (not (tptp.r1 @t371 @t369)) @t370))) % 127.79/129.22 (define @t374 () (@var "BOUND_VARIABLE_8641" $$unsorted)) % 127.79/129.22 (define @t375 () (@list @t371)) % 127.79/129.22 (define @t376 () (forall (@list @t374) (or (not (tptp.r1 @t4 @t374)) (forall @t375 (or (not (tptp.r1 @t374 @t371)) @t373))))) % 127.79/129.22 (define @t377 () (not (forall @t10 (or @t9 @t376)))) % 127.79/129.22 (define @t378 () (or @t377 @t368 @t353 @t342 @t276 @t237 @t227 @t216 @t202 @t189)) % 127.79/129.22 (define @t379 () (not @t276)) % 127.79/129.22 (define @t380 () (not @t379)) % 127.79/129.22 (define @t381 () (or @t380 @t237 @t227 @t216 @t202 @t189)) % 127.79/129.22 (define @t382 () (or @t377 @t368 @t353 @t342 (not (and @t379 @t236 @t226 @t215 @t201 @t188)))) % 127.79/129.22 (define @t383 () (@list @t1)) % 127.79/129.22 (define @t384 () (forall @t2 (or @t5 (forall @t186 (or (not (tptp.r1 @t1 @t183)) @t184))))) % 127.79/129.22 (define @t385 () (or @t9 @t384 @t7)) % 127.79/129.22 (define @t386 () (forall @t10 @t385)) % 127.79/129.22 (define @t387 () (forall @t2 (or @t5 (forall @t199 (or (not (tptp.r1 @t1 @t196)) @t198)) (not (forall @t193 (or (not (tptp.r1 @t1 @t190)) @t191)))))) % 127.79/129.22 (define @t388 () (or @t9 @t387)) % 127.79/129.22 (define @t389 () (forall @t10 @t388)) % 127.79/129.22 (define @t390 () (forall @t2 (or @t5 (forall @t213 (or (not (tptp.r1 @t1 @t205)) @t211 @t207))))) % 127.79/129.22 (define @t391 () (or @t9 @t390)) % 127.79/129.22 (define @t392 () (forall @t10 @t391)) % 127.79/129.22 (define @t393 () (forall @t2 (or @t5 (forall @t224 (or (not (tptp.r1 @t1 @t220)) @t222))))) % 127.79/129.22 (define @t394 () (or @t9 @t393)) % 127.79/129.22 (define @t395 () (forall @t10 @t394)) % 127.79/129.22 (define @t396 () (forall @t2 (or @t5 (forall @t234 (or (not (tptp.r1 @t1 @t230)) @t232))))) % 127.79/129.22 (define @t397 () (or @t9 @t396)) % 127.79/129.22 (define @t398 () (forall @t10 @t397)) % 127.79/129.22 (define @t399 () (forall @t2 (or @t5 (forall @t272 (or (not (tptp.r1 @t1 @t268)) @t270))))) % 127.79/129.22 (define @t400 () (or @t9 @t399)) % 127.79/129.22 (define @t401 () (forall @t10 @t400)) % 127.79/129.22 (define @t402 () (not @t401)) % 127.79/129.22 (define @t403 () (and @t402 @t398 @t395 @t392 @t389 @t386)) % 127.79/129.22 (define @t404 () (not @t403)) % 127.79/129.22 (define @t405 () (forall @t2 (or @t5 (forall @t338 (or (not (tptp.r1 @t1 @t334)) @t336))))) % 127.79/129.22 (define @t406 () (or @t9 @t405)) % 127.79/129.22 (define @t407 () (forall @t10 @t406)) % 127.79/129.22 (define @t408 () (not @t407)) % 127.79/129.22 (define @t409 () (forall @t2 (or @t5 (forall @t349 (or (not (tptp.r1 @t1 @t345)) @t347))))) % 127.79/129.22 (define @t410 () (or @t9 @t409)) % 127.79/129.22 (define @t411 () (forall @t10 @t410)) % 127.79/129.22 (define @t412 () (not @t411)) % 127.79/129.22 (define @t413 () (forall @t2 (or @t5 (forall @t366 (or (not (tptp.r1 @t1 @t362)) @t364))))) % 127.79/129.22 (define @t414 () (or @t9 @t413)) % 127.79/129.22 (define @t415 () (forall @t10 @t414)) % 127.79/129.22 (define @t416 () (not @t415)) % 127.79/129.22 (define @t417 () (forall @t2 (or @t5 (forall @t375 (or (not (tptp.r1 @t1 @t371)) @t373))))) % 127.79/129.22 (define @t418 () (or @t9 @t417)) % 127.79/129.22 (define @t419 () (forall @t10 @t418)) % 127.79/129.22 (define @t420 () (not @t419)) % 127.79/129.22 (define @t421 () (or @t420 @t416 @t412 @t408 @t404)) % 127.79/129.22 (define @t422 () (not @t421)) % 127.79/129.22 (define @t423 () (forall @t2 (not @t422))) % 127.79/129.22 (define @t424 () (not @t423)) % 127.79/129.22 (define @t425 () (@list @t4)) % 127.79/129.22 (define @t426 () (@list @t183)) % 127.79/129.22 (define @t427 () (forall @t10 (or @t9 (forall @t197 (or (not (tptp.r1 @t4 @t194)) @t195))))) % 127.79/129.22 (define @t428 () (or @t5 @t427 @t16)) % 127.79/129.22 (define @t429 () (forall @t2 @t428)) % 127.79/129.22 (define @t430 () (or @t9 @t429)) % 127.79/129.22 (define @t431 () (forall @t10 (or @t9 (forall @t210 (or (not (tptp.r1 @t4 @t208)) @t209)) (not (forall @t206 (or (not (tptp.r1 @t4 @t203)) @t204)))))) % 127.79/129.22 (define @t432 () (or @t5 @t431)) % 127.79/129.22 (define @t433 () (forall @t2 @t432)) % 127.79/129.22 (define @t434 () (or @t9 @t433)) % 127.79/129.22 (define @t435 () (@list @t203)) % 127.79/129.22 (define @t436 () (or @t5 @t386)) % 127.79/129.22 (define @t437 () (forall @t10 (or @t9 (forall @t221 (or (not (tptp.r1 @t4 @t217)) @t219 @t218))))) % 127.79/129.22 (define @t438 () (or @t5 @t437)) % 127.79/129.22 (define @t439 () (forall @t2 @t438)) % 127.79/129.22 (define @t440 () (or @t9 @t439)) % 127.79/129.22 (define @t441 () (or @t5 @t389)) % 127.79/129.22 (define @t442 () (forall @t10 (or @t9 (forall @t231 (or (not (tptp.r1 @t4 @t228)) @t229))))) % 127.79/129.22 (define @t443 () (or @t5 @t442)) % 127.79/129.22 (define @t444 () (forall @t2 @t443)) % 127.79/129.22 (define @t445 () (or @t9 @t444)) % 127.79/129.22 (define @t446 () (or @t5 @t392)) % 127.79/129.22 (define @t447 () (forall @t10 (or @t9 (forall @t269 (or (not (tptp.r1 @t4 @t265)) @t267))))) % 127.79/129.22 (define @t448 () (or @t5 @t447)) % 127.79/129.22 (define @t449 () (forall @t2 @t448)) % 127.79/129.22 (define @t450 () (or @t9 @t449)) % 127.79/129.22 (define @t451 () (forall @t2 (or @t5 (forall @t266 (or (not (tptp.r1 @t1 @t262)) @t264))))) % 127.79/129.22 (define @t452 () (or @t9 @t451)) % 127.79/129.22 (define @t453 () (forall @t10 @t452)) % 127.79/129.22 (define @t454 () (or @t5 @t453)) % 127.79/129.22 (define @t455 () (forall @t10 (or @t9 (forall @t263 (or (not (tptp.r1 @t4 @t248)) @t261 @t257 @t250))))) % 127.79/129.22 (define @t456 () (or @t5 @t455)) % 127.79/129.22 (define @t457 () (forall @t2 @t456)) % 127.79/129.22 (define @t458 () (or @t9 @t457)) % 127.79/129.22 (define @t459 () (forall @t2 (or @t5 (forall @t260 (or (not (tptp.r1 @t1 @t258)) @t259)) (forall @t256 (or (not (tptp.r1 @t1 @t253)) @t255)) (not (forall @t249 (or (not (tptp.r1 @t1 @t244)) @t247 @t246)))))) % 127.79/129.22 (define @t460 () (or @t9 @t459)) % 127.79/129.22 (define @t461 () (forall @t10 @t460)) % 127.79/129.22 (define @t462 () (or @t5 @t461)) % 127.79/129.22 (define @t463 () (forall @t10 (or @t9 @t8 (not (forall @t245 (or (not (tptp.r1 @t4 @t238)) @t243 @t239)))))) % 127.79/129.22 (define @t464 () (not @t463)) % 127.79/129.22 (define @t465 () (forall @t10 (or @t9 (not (forall @t254 (or (not (tptp.r1 @t4 @t251)) @t252)))))) % 127.79/129.22 (define @t466 () (@list @t258)) % 127.79/129.22 (define @t467 () (or @t5 @t11 @t465 @t464)) % 127.79/129.22 (define @t468 () (forall @t2 @t467)) % 127.79/129.22 (define @t469 () (or @t9 @t468)) % 127.79/129.22 (define @t470 () (forall @t2 (or @t5 (forall @t242 (or (not (tptp.r1 @t1 @t240)) @t241)) @t35))) % 127.79/129.22 (define @t471 () (not @t470)) % 127.79/129.22 (define @t472 () (or @t9 @t8 @t471)) % 127.79/129.22 (define @t473 () (forall @t10 @t472)) % 127.79/129.22 (define @t474 () (not @t473)) % 127.79/129.22 (define @t475 () (@list @t251)) % 127.79/129.22 (define @t476 () (or @t5 @t11 @t43 @t474)) % 127.79/129.22 (define @t477 () (@list @t240)) % 127.79/129.22 (define @t478 () (forall @t10 (or @t9 (forall @t335 (or (not (tptp.r1 @t4 @t331)) @t333))))) % 127.79/129.22 (define @t479 () (or @t5 @t478)) % 127.79/129.22 (define @t480 () (forall @t2 @t479)) % 127.79/129.22 (define @t481 () (or @t9 @t480)) % 127.79/129.22 (define @t482 () (forall @t2 (or @t5 (forall @t332 (or (not (tptp.r1 @t1 @t328)) @t330))))) % 127.79/129.22 (define @t483 () (or @t9 @t482)) % 127.79/129.22 (define @t484 () (forall @t10 @t483)) % 127.79/129.22 (define @t485 () (or @t5 @t484)) % 127.79/129.22 (define @t486 () (forall @t10 (or @t9 (forall @t329 (or (not (tptp.r1 @t4 @t282)) @t327))))) % 127.79/129.22 (define @t487 () (or @t5 @t486)) % 127.79/129.22 (define @t488 () (forall @t2 @t487)) % 127.79/129.22 (define @t489 () (or @t9 @t488)) % 127.79/129.22 (define @t490 () (forall @t2 (or @t5 (and (or (forall @t326 (or (not (tptp.r1 @t1 @t324)) @t325)) @t35 (forall @t323 (or (not (tptp.r1 @t1 @t321)) @t322)) (not (forall @t318 (or (not (tptp.r1 @t1 @t314)) @t317 @t316 @t315)))) (or @t3 (forall @t303 (or (not (tptp.r1 @t1 @t301)) @t302)) (not (forall @t300 (or (not (tptp.r1 @t1 @t297)) @t299 @t298)))) (forall @t294 (or (not (tptp.r1 @t1 @t289)) @t293 @t290)) (or (forall @t288 (or (not (tptp.r1 @t1 @t286)) @t287)) (not (forall @t283 (or (not (tptp.r1 @t1 @t279)) @t281 @t280)))))))) % 127.79/129.22 (define @t491 () (or @t9 @t490)) % 127.79/129.22 (define @t492 () (forall @t10 @t491)) % 127.79/129.22 (define @t493 () (or @t5 @t492)) % 127.79/129.22 (define @t494 () (forall @t10 (or @t9 @t8 (not (forall @t64 (or @t62 @t278 @t60)))))) % 127.79/129.22 (define @t495 () (not @t494)) % 127.79/129.22 (define @t496 () (forall @t10 (or @t9 (forall @t80 (or @t78 @t77 @t285))))) % 127.79/129.22 (define @t497 () (or @t496 @t495)) % 127.79/129.22 (define @t498 () (forall @t10 (or @t9 (forall @t93 (or @t91 @t292)) @t88))) % 127.79/129.22 (define @t499 () (forall @t10 (or @t9 @t8 (not (forall @t102 (or @t100 @t296 @t98)))))) % 127.79/129.22 (define @t500 () (not @t499)) % 127.79/129.22 (define @t501 () (or @t3 @t111 @t500)) % 127.79/129.22 (define @t502 () (forall @t10 (or @t9 @t130 @t70 (not (forall @t124 (or @t122 @t313 @t308)))))) % 127.79/129.22 (define @t503 () (not @t502)) % 127.79/129.22 (define @t504 () (forall @t10 (or @t9 (not (forall @t139 (or @t137 @t320 @t135)))))) % 127.79/129.22 (define @t505 () (@list @t324)) % 127.79/129.22 (define @t506 () (or @t11 @t35 @t504 @t503)) % 127.79/129.22 (define @t507 () (and @t506 @t501 @t498 @t497)) % 127.79/129.22 (define @t508 () (or @t5 @t507)) % 127.79/129.22 (define @t509 () (forall @t2 @t508)) % 127.79/129.22 (define @t510 () (or @t9 @t509)) % 127.79/129.22 (define @t511 () (not @t117)) % 127.79/129.22 (define @t512 () (and @t511 @t114)) % 127.79/129.22 (define @t513 () (or @t122 @t121 @t512)) % 127.79/129.22 (define @t514 () (forall @t124 @t513)) % 127.79/129.22 (define @t515 () (not @t514)) % 127.79/129.22 (define @t516 () (or @t9 @t130 @t70 @t515)) % 127.79/129.22 (define @t517 () (forall @t10 (or @t9 (forall @t346 (or (not (tptp.r1 @t4 @t343)) @t344))))) % 127.79/129.22 (define @t518 () (or @t5 @t517)) % 127.79/129.22 (define @t519 () (forall @t2 @t518)) % 127.79/129.22 (define @t520 () (or @t9 @t519)) % 127.79/129.22 (define @t521 () (or @t5 @t398)) % 127.79/129.22 (define @t522 () (forall @t10 (or @t9 (forall @t363 (or (not (tptp.r1 @t4 @t359)) @t361))))) % 127.79/129.22 (define @t523 () (or @t5 @t522)) % 127.79/129.22 (define @t524 () (forall @t2 @t523)) % 127.79/129.22 (define @t525 () (or @t9 @t524)) % 127.79/129.22 (define @t526 () (forall @t2 (or @t5 (forall @t360 (or (not (tptp.r1 @t1 @t356)) @t358))))) % 127.79/129.22 (define @t527 () (or @t9 @t526)) % 127.79/129.22 (define @t528 () (forall @t10 @t527)) % 127.79/129.22 (define @t529 () (or @t5 @t528)) % 127.79/129.22 (define @t530 () (forall @t10 (or @t9 (forall @t357 (or (not (tptp.r1 @t4 @t354)) @t355))))) % 127.79/129.22 (define @t531 () (or @t5 @t530)) % 127.79/129.22 (define @t532 () (forall @t2 @t531)) % 127.79/129.22 (define @t533 () (or @t9 @t532)) % 127.79/129.22 (define @t534 () (or @t5 @t395)) % 127.79/129.22 (define @t535 () (forall @t10 (or @t9 (forall @t372 (or (not (tptp.r1 @t4 @t369)) @t370))))) % 127.79/129.22 (define @t536 () (or @t5 @t535)) % 127.79/129.22 (define @t537 () (forall @t2 @t536)) % 127.79/129.22 (define @t538 () (or @t9 @t537)) % 127.79/129.22 (define @t539 () (or @t5 @t411)) % 127.79/129.22 (define @t540 () (@quantifiers_skolemize (forall @t2 @t378) 0)) % 127.79/129.22 (define @t541 () (not (tptp.r1 @t540 @t4))) % 127.79/129.22 (define @t542 () (forall @t10 (or @t541 @t341))) % 127.79/129.22 (define @t543 () (forall @t10 (or @t541 @t275))) % 127.79/129.22 (define @t544 () (not @t542)) % 127.79/129.22 (define @t545 () (forall @t10 (or @t541 @t352))) % 127.79/129.22 (define @t546 () (not @t545)) % 127.79/129.22 (define @t547 () (or (not (forall @t10 (or @t541 @t376))) (not (forall @t10 (or @t541 @t367))) @t546 @t544 @t543 (not (forall @t10 (or @t541 @t235))) (not (forall @t10 (or @t541 @t225))) (not (forall @t10 (or @t541 @t214))) (not (forall @t10 (or @t541 @t200))) (not (forall @t10 (or @t541 @t187 @t182))))) % 127.79/129.22 (define @t548 () (@list true)) % 127.79/129.22 (define @t549 () (@list @t547)) % 127.79/129.22 (define @t550 () (@quantifiers_skolemize @t543 0)) % 127.79/129.22 (define @t551 () (@list @t550)) % 127.79/129.22 (define @t552 () (tptp.r1 @t540 @t550)) % 127.79/129.22 (define @t553 () (forall @t274 (or (not (tptp.r1 @t550 @t271)) @t273))) % 127.79/129.22 (define @t554 () (not @t552)) % 127.79/129.22 (define @t555 () (or @t554 @t553)) % 127.79/129.22 (define @t556 () (@list @t555)) % 127.79/129.22 (define @t557 () (forall @t340 (or (not (tptp.r1 @t550 @t337)) @t339))) % 127.79/129.22 (define @t558 () (or @t554 @t557)) % 127.79/129.22 (define @t559 () (@list false false)) % 127.79/129.22 (define @t560 () (@quantifiers_skolemize @t553 0)) % 127.79/129.22 (define @t561 () (@list @t560)) % 127.79/129.22 (define @t562 () (tptp.r1 @t550 @t560)) % 127.79/129.22 (define @t563 () (forall @t272 (or (not (tptp.r1 @t560 @t268)) @t270))) % 127.79/129.22 (define @t564 () (not @t562)) % 127.79/129.22 (define @t565 () (or @t564 @t563)) % 127.79/129.22 (define @t566 () (@list @t565)) % 127.79/129.22 (define @t567 () (forall @t338 (or (not (tptp.r1 @t560 @t334)) @t336))) % 127.79/129.22 (define @t568 () (or @t564 @t567)) % 127.79/129.22 (define @t569 () (@quantifiers_skolemize @t563 0)) % 127.79/129.22 (define @t570 () (@list @t569)) % 127.79/129.22 (define @t571 () (tptp.r1 @t560 @t569)) % 127.79/129.22 (define @t572 () (forall @t269 (or (not (tptp.r1 @t569 @t265)) @t267))) % 127.79/129.22 (define @t573 () (not @t571)) % 127.79/129.22 (define @t574 () (or @t573 @t572)) % 127.79/129.22 (define @t575 () (@list @t574)) % 127.79/129.22 (define @t576 () (forall @t335 (or (not (tptp.r1 @t569 @t331)) @t333))) % 127.79/129.22 (define @t577 () (or @t573 @t576)) % 127.79/129.22 (define @t578 () (@quantifiers_skolemize @t572 0)) % 127.79/129.22 (define @t579 () (@list @t578)) % 127.79/129.22 (define @t580 () (tptp.r1 @t569 @t578)) % 127.79/129.22 (define @t581 () (forall @t266 (or (not (tptp.r1 @t578 @t262)) @t264))) % 127.79/129.22 (define @t582 () (not @t580)) % 127.79/129.22 (define @t583 () (or @t582 @t581)) % 127.79/129.22 (define @t584 () (@list @t583)) % 127.79/129.22 (define @t585 () (forall @t332 (or (not (tptp.r1 @t578 @t328)) @t330))) % 127.79/129.22 (define @t586 () (or @t582 @t585)) % 127.79/129.22 (define @t587 () (@quantifiers_skolemize @t581 0)) % 127.79/129.22 (define @t588 () (@list @t587)) % 127.79/129.22 (define @t589 () (tptp.r1 @t578 @t587)) % 127.79/129.22 (define @t590 () (forall @t263 (or (not (tptp.r1 @t587 @t248)) @t261 @t257 @t250))) % 127.79/129.22 (define @t591 () (not @t589)) % 127.79/129.22 (define @t592 () (or @t591 @t590)) % 127.79/129.22 (define @t593 () (@list @t592)) % 127.79/129.22 (define @t594 () (forall @t329 (or (not (tptp.r1 @t587 @t282)) @t327))) % 127.79/129.22 (define @t595 () (or @t591 @t594)) % 127.79/129.22 (define @t596 () (@quantifiers_skolemize @t590 0)) % 127.79/129.22 (define @t597 () (@list @t596)) % 127.79/129.22 (define @t598 () (tptp.r1 @t587 @t596)) % 127.79/129.22 (define @t599 () (forall @t249 (or (not (tptp.r1 @t596 @t244)) @t247 @t246))) % 127.79/129.22 (define @t600 () (not @t599)) % 127.79/129.22 (define @t601 () (forall @t256 (or (not (tptp.r1 @t596 @t253)) @t255))) % 127.79/129.22 (define @t602 () (forall @t260 (or (not (tptp.r1 @t596 @t258)) @t259))) % 127.79/129.22 (define @t603 () (not @t598)) % 127.79/129.22 (define @t604 () (or @t603 @t602 @t601 @t600)) % 127.79/129.22 (define @t605 () (@list @t604)) % 127.79/129.22 (define @t606 () (forall @t283 (or (not (tptp.r1 @t596 @t279)) @t281 @t280))) % 127.79/129.22 (define @t607 () (not @t606)) % 127.79/129.22 (define @t608 () (forall @t288 (or (not (tptp.r1 @t596 @t286)) @t287))) % 127.79/129.22 (define @t609 () (or @t608 @t607)) % 127.79/129.22 (define @t610 () (forall @t300 (or (not (tptp.r1 @t596 @t297)) @t299 @t298))) % 127.79/129.22 (define @t611 () (not @t610)) % 127.79/129.22 (define @t612 () (forall @t303 (or (not (tptp.r1 @t596 @t301)) @t302))) % 127.79/129.22 (define @t613 () (tptp.p1 @t596)) % 127.79/129.22 (define @t614 () (or @t613 @t612 @t611)) % 127.79/129.22 (define @t615 () (forall @t318 (or (not (tptp.r1 @t596 @t314)) @t317 @t316 @t315))) % 127.79/129.22 (define @t616 () (not @t615)) % 127.79/129.22 (define @t617 () (forall @t323 (or (not (tptp.r1 @t596 @t321)) @t322))) % 127.79/129.22 (define @t618 () (not @t613)) % 127.79/129.22 (define @t619 () (forall @t326 (or (not (tptp.r1 @t596 @t324)) @t325))) % 127.79/129.22 (define @t620 () (or @t619 @t618 @t617 @t616)) % 127.79/129.22 (define @t621 () (and @t620 @t614 (forall @t294 (or (not (tptp.r1 @t596 @t289)) @t293 @t290)) @t609)) % 127.79/129.22 (define @t622 () (or @t603 @t621)) % 127.79/129.22 (define @t623 () (not @t621)) % 127.79/129.22 (define @t624 () (@list false)) % 127.79/129.22 (define @t625 () (@list @t621)) % 127.79/129.22 (define @t626 () (@list @t238 @t240 @t244)) % 127.79/129.22 (define @t627 () (@list @t599)) % 127.79/129.22 (define @t628 () (@quantifiers_skolemize @t615 0)) % 127.79/129.22 (define @t629 () (@quantifiers_skolemize @t601 0)) % 127.79/129.22 (define @t630 () (forall @t245 (or (not (tptp.r1 @t629 @t238)) @t243 @t239))) % 127.79/129.22 (define @t631 () (@quantifiers_skolemize @t630 0)) % 127.79/129.22 (define @t632 () (tptp.r1 @t629 @t631)) % 127.79/129.22 (define @t633 () (forall @t242 (or (not (tptp.r1 @t631 @t240)) @t241))) % 127.79/129.22 (define @t634 () (not @t632)) % 127.79/129.22 (define @t635 () (or @t634 @t633 (not (tptp.p1 @t631)))) % 127.79/129.22 (define @t636 () (forall @t351 (or (not (tptp.r1 @t550 @t348)) @t350))) % 127.79/129.22 (define @t637 () (or @t554 @t636)) % 127.79/129.22 (define @t638 () (forall @t349 (or (not (tptp.r1 @t560 @t345)) @t347))) % 127.79/129.22 (define @t639 () (or @t564 @t638)) % 127.79/129.22 (define @t640 () (forall @t346 (or (not (tptp.r1 @t569 @t343)) @t344))) % 127.79/129.22 (define @t641 () (or @t573 @t640)) % 127.79/129.22 (define @t642 () (forall @t234 (or (not (tptp.r1 @t578 @t230)) @t232))) % 127.79/129.22 (define @t643 () (or @t582 @t642)) % 127.79/129.22 (define @t644 () (forall @t231 (or (not (tptp.r1 @t587 @t228)) @t229))) % 127.79/129.22 (define @t645 () (or @t591 @t644)) % 127.79/129.22 (define @t646 () (forall @t213 (or (not (tptp.r1 @t596 @t205)) @t211 @t207))) % 127.79/129.22 (define @t647 () (or @t603 @t646)) % 127.79/129.22 (define @t648 () (@list @t629)) % 127.79/129.22 (define @t649 () (forall @t254 (or (not (tptp.r1 @t629 @t251)) @t252))) % 127.79/129.22 (define @t650 () (not @t649)) % 127.79/129.22 (define @t651 () (tptp.r1 @t596 @t629)) % 127.79/129.22 (define @t652 () (not @t651)) % 127.79/129.22 (define @t653 () (or @t652 @t650)) % 127.79/129.22 (define @t654 () (@list @t653)) % 127.79/129.22 (define @t655 () (forall @t206 (or (not (tptp.r1 @t629 @t203)) @t204))) % 127.79/129.22 (define @t656 () (not @t655)) % 127.79/129.22 (define @t657 () (forall @t210 (or (not (tptp.r1 @t629 @t208)) @t209))) % 127.79/129.22 (define @t658 () (or @t652 @t657 @t656)) % 127.79/129.22 (define @t659 () (forall @t186 (or (not (tptp.r1 @t631 @t183)) @t184))) % 127.79/129.22 (define @t660 () (or @t634 @t659)) % 127.79/129.22 (define @t661 () (not @t635)) % 127.79/129.22 (define @t662 () (not @t630)) % 127.79/129.22 (define @t663 () (@list @t240 @t238)) % 127.79/129.22 (define @t664 () (forall @t139 (or (not (tptp.r1 @t629 @t134)) @t320 @t135))) % 127.79/129.22 (define @t665 () (not @t664)) % 127.79/129.22 (define @t666 () (or @t652 @t665)) % 127.79/129.22 (define @t667 () (not @t666)) % 127.79/129.22 (define @t668 () (@list @t97 @t295 @t297)) % 127.79/129.22 (define @t669 () (forall @t124 (or (not (tptp.r1 @t628 @t113)) @t313 @t308))) % 127.79/129.22 (define @t670 () (not @t669)) % 127.79/129.22 (define @t671 () (forall @t129 (or (not (tptp.r1 @t628 @t127)) @t128))) % 127.79/129.22 (define @t672 () (tptp.r1 @t596 @t628)) % 127.79/129.22 (define @t673 () (not @t672)) % 127.79/129.22 (define @t674 () (or @t673 @t671 (not (tptp.p1 @t628)) @t670)) % 127.79/129.22 (define @t675 () (not @t674)) % 127.79/129.22 (define @t676 () (@list @t674)) % 127.79/129.22 (define @t677 () (forall @t80 (or (not (tptp.r1 @t628 @t74)) @t77 @t285))) % 127.79/129.22 (define @t678 () (or @t673 @t677)) % 127.79/129.22 (define @t679 () (forall @t300 (or (not (tptp.r1 @t628 @t297)) @t299 @t298))) % 127.79/129.22 (define @t680 () (@quantifiers_skolemize @t671 0)) % 127.79/129.22 (define @t681 () (@list @t680)) % 127.79/129.22 (define @t682 () (tptp.p1 @t680)) % 127.79/129.22 (define @t683 () (and (not (forall @t307 (or (not (tptp.r1 @t680 @t305)) @t306))) @t682)) % 127.79/129.22 (define @t684 () (forall @t312 (or (not (tptp.r1 @t680 @t309)) @t311 @t310))) % 127.79/129.22 (define @t685 () (tptp.r1 @t628 @t680)) % 127.79/129.22 (define @t686 () (not @t685)) % 127.79/129.22 (define @t687 () (or @t686 @t684 @t683)) % 127.79/129.22 (define @t688 () (not @t671)) % 127.79/129.22 (define @t689 () (or @t686 @t682)) % 127.79/129.22 (define @t690 () (not @t689)) % 127.79/129.22 (define @t691 () (@list @t689)) % 127.79/129.22 (define @t692 () (not @t683)) % 127.79/129.22 (define @t693 () (@list false true false)) % 127.79/129.22 (define @t694 () (forall @t245 (or (not (tptp.r1 @t680 @t238)) @t243 @t239))) % 127.79/129.22 (define @t695 () (forall @t102 (or (not (tptp.r1 @t680 @t97)) @t296 @t98))) % 127.79/129.22 (define @t696 () (not @t695)) % 127.79/129.22 (define @t697 () (or @t686 @t682 @t696)) % 127.79/129.22 (define @t698 () (not @t697)) % 127.79/129.22 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 127.79/129.22 (assume @p2 (not (not @t180))) % 127.79/129.22 (assume @p3 true) % 127.79/129.22 (step @p4 :rule aci_norm :args ((= (or @t377 @t368 @t353 @t342 (or @t276 @t237 @t227 @t216 @t202 @t189)) @t378))) % 127.79/129.22 (step @p5 :rule refl :args (@t189)) % 127.79/129.22 (step @p6 :rule refl :args (@t202)) % 127.79/129.22 (step @p7 :rule refl :args (@t216)) % 127.79/129.22 (step @p8 :rule refl :args (@t227)) % 127.79/129.22 (step @p9 :rule refl :args (@t237)) % 127.79/129.22 (step @p10 :rule bool-double-not-elim :args (@t276)) % 127.79/129.22 (step @p11 :rule nary_cong :premises (@p10 @p9 @p8 @p7 @p6 @p5) :args (@t381)) % 127.79/129.22 (step @p12 :rule aci_norm :args ((= (or @t380 (or @t237 (or @t227 (or @t216 (or @t202 @t189))))) @t381))) % 127.79/129.22 (step @p13 :rule trans :premises (@p12 @p11)) % 127.79/129.22 (step @p14 :rule bool-and-de-morgan :args (@t201 @t188 true)) % 127.79/129.22 (step @p15 :rule nary_cong :premises (@p7 @p14) :args ((or @t216 (not (and @t201 @t188))))) % 127.79/129.22 (step @p16 :rule bool-and-de-morgan :args (@t215 @t201 (and @t188))) % 127.79/129.22 (step @p17 :rule trans :premises (@p16 @p15)) % 127.79/129.22 (step @p18 :rule nary_cong :premises (@p8 @p17) :args ((or @t227 (not (and @t215 @t201 @t188))))) % 127.79/129.22 (step @p19 :rule bool-and-de-morgan :args (@t226 @t215 (and @t201 @t188))) % 127.79/129.22 (step @p20 :rule trans :premises (@p19 @p18)) % 127.79/129.22 (step @p21 :rule nary_cong :premises (@p9 @p20) :args ((or @t237 (not (and @t226 @t215 @t201 @t188))))) % 127.79/129.22 (step @p22 :rule bool-and-de-morgan :args (@t236 @t226 (and @t215 @t201 @t188))) % 127.79/129.22 (step @p23 :rule trans :premises (@p22 @p21)) % 127.79/129.22 (step @p24 :rule refl :args (@t380)) % 127.79/129.22 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t380 (not (and @t236 @t226 @t215 @t201 @t188))))) % 127.79/129.22 (step @p26 :rule bool-and-de-morgan :args (@t379 @t236 (and @t226 @t215 @t201 @t188))) % 127.79/129.22 (step @p27 :rule trans :premises (@p26 @p25)) % 127.79/129.22 (step @p28 :rule trans :premises (@p27 @p13)) % 127.79/129.22 (step @p29 :rule refl :args (@t342)) % 127.79/129.22 (step @p30 :rule refl :args (@t353)) % 127.79/129.22 (step @p31 :rule refl :args (@t368)) % 127.79/129.22 (step @p32 :rule refl :args (@t377)) % 127.79/129.22 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30 @p29 @p28) :args (@t382)) % 127.79/129.22 (step @p34 :rule trans :premises (@p33 @p4)) % 127.79/129.22 (step @p35 :rule cong :premises (@p34) :args ((forall @t2 @t382))) % 127.79/129.22 (step @p36 :rule alpha_equiv :args (@t6 @t383 (@list @t181))) % 127.79/129.22 (step @p37 :rule cong :premises (@p36) :args (@t7)) % 127.79/129.22 (step @p38 :rule alpha_equiv :args (@t384 @t383 (@list @t185))) % 127.79/129.22 (step @p39 :rule refl :args (@t9)) % 127.79/129.22 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t385)) % 127.79/129.22 (step @p41 :rule cong :premises (@p40) :args (@t386)) % 127.79/129.22 (step @p42 :rule alpha_equiv :args (@t387 @t383 (@list @t192))) % 127.79/129.22 (step @p43 :rule nary_cong :premises (@p39 @p42) :args (@t388)) % 127.79/129.22 (step @p44 :rule cong :premises (@p43) :args (@t389)) % 127.79/129.22 (step @p45 :rule alpha_equiv :args (@t390 @t383 (@list @t212))) % 127.79/129.22 (step @p46 :rule nary_cong :premises (@p39 @p45) :args (@t391)) % 127.79/129.22 (step @p47 :rule cong :premises (@p46) :args (@t392)) % 127.79/129.22 (step @p48 :rule alpha_equiv :args (@t393 @t383 (@list @t223))) % 127.79/129.22 (step @p49 :rule nary_cong :premises (@p39 @p48) :args (@t394)) % 127.79/129.22 (step @p50 :rule cong :premises (@p49) :args (@t395)) % 127.79/129.22 (step @p51 :rule alpha_equiv :args (@t396 @t383 (@list @t233))) % 127.79/129.22 (step @p52 :rule nary_cong :premises (@p39 @p51) :args (@t397)) % 127.79/129.22 (step @p53 :rule cong :premises (@p52) :args (@t398)) % 127.79/129.22 (step @p54 :rule alpha_equiv :args (@t399 @t383 (@list @t271))) % 127.79/129.22 (step @p55 :rule nary_cong :premises (@p39 @p54) :args (@t400)) % 127.79/129.22 (step @p56 :rule cong :premises (@p55) :args (@t401)) % 127.79/129.22 (step @p57 :rule cong :premises (@p56) :args (@t402)) % 127.79/129.22 (step @p58 :rule nary_cong :premises (@p57 @p53 @p50 @p47 @p44 @p41) :args (@t403)) % 127.79/129.22 (step @p59 :rule cong :premises (@p58) :args (@t404)) % 127.79/129.22 (step @p60 :rule alpha_equiv :args (@t405 @t383 (@list @t337))) % 127.79/129.22 (step @p61 :rule nary_cong :premises (@p39 @p60) :args (@t406)) % 127.79/129.22 (step @p62 :rule cong :premises (@p61) :args (@t407)) % 127.79/129.22 (step @p63 :rule cong :premises (@p62) :args (@t408)) % 127.79/129.22 (step @p64 :rule alpha_equiv :args (@t409 @t383 (@list @t348))) % 127.79/129.22 (step @p65 :rule nary_cong :premises (@p39 @p64) :args (@t410)) % 127.79/129.22 (step @p66 :rule cong :premises (@p65) :args (@t411)) % 127.79/129.22 (step @p67 :rule cong :premises (@p66) :args (@t412)) % 127.79/129.22 (step @p68 :rule alpha_equiv :args (@t413 @t383 (@list @t365))) % 127.79/129.22 (step @p69 :rule nary_cong :premises (@p39 @p68) :args (@t414)) % 127.79/129.22 (step @p70 :rule cong :premises (@p69) :args (@t415)) % 127.79/129.22 (step @p71 :rule cong :premises (@p70) :args (@t416)) % 127.79/129.22 (step @p72 :rule alpha_equiv :args (@t417 @t383 (@list @t374))) % 127.79/129.22 (step @p73 :rule nary_cong :premises (@p39 @p72) :args (@t418)) % 127.79/129.22 (step @p74 :rule cong :premises (@p73) :args (@t419)) % 127.79/129.22 (step @p75 :rule cong :premises (@p74) :args (@t420)) % 127.79/129.22 (step @p76 :rule nary_cong :premises (@p75 @p71 @p67 @p63 @p59) :args (@t421)) % 127.79/129.22 (step @p77 :rule cong :premises (@p76) :args ((forall @t2 @t421))) % 127.79/129.22 (step @p78 :rule trans :premises (@p77 @p35)) % 127.79/129.22 (step @p79 :rule bool-double-not-elim :args (@t421)) % 127.79/129.22 (step @p80 :rule cong :premises (@p79) :args (@t423)) % 127.79/129.22 (step @p81 :rule trans :premises (@p80 @p78)) % 127.79/129.22 (step @p82 :rule cong :premises (@p81) :args (@t424)) % 127.79/129.22 (step @p83 :rule exists-elim :args ((= (exists @t2 @t422) @t424))) % 127.79/129.22 (step @p84 :rule trans :premises (@p83 @p82)) % 127.79/129.22 (step @p85 :rule refl :args (@t7)) % 127.79/129.22 (step @p86 :rule alpha_equiv :args (@t11 @t425 @t426)) % 127.79/129.22 (step @p87 :rule refl :args (@t5)) % 127.79/129.22 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t12)) % 127.79/129.22 (step @p89 :rule cong :premises (@p88) :args (@t13)) % 127.79/129.22 (step @p90 :rule nary_cong :premises (@p39 @p89 @p85) :args (@t14)) % 127.79/129.22 (step @p91 :rule cong :premises (@p90) :args (@t15)) % 127.79/129.22 (step @p92 :rule alpha_equiv :args (@t11 @t425 (@list @t190))) % 127.79/129.22 (step @p93 :rule cong :premises (@p92) :args (@t16)) % 127.79/129.22 (step @p94 :rule alpha_equiv :args (@t427 @t425 (@list @t196))) % 127.79/129.22 (step @p95 :rule nary_cong :premises (@p87 @p94 @p93) :args (@t428)) % 127.79/129.22 (step @p96 :rule cong :premises (@p95) :args (@t429)) % 127.79/129.22 (step @p97 :rule nary_cong :premises (@p39 @p96) :args (@t430)) % 127.79/129.22 (step @p98 :rule cong :premises (@p97) :args ((forall @t10 @t430))) % 127.79/129.22 (step @p99 :rule refl :args (@t16)) % 127.79/129.22 (step @p100 :rule alpha_equiv :args (@t6 @t383 (@list @t194))) % 127.79/129.22 (step @p101 :rule nary_cong :premises (@p39 @p100) :args (@t17)) % 127.79/129.22 (step @p102 :rule cong :premises (@p101) :args (@t18)) % 127.79/129.22 (step @p103 :rule nary_cong :premises (@p87 @p102 @p99) :args (@t19)) % 127.79/129.22 (step @p104 :rule cong :premises (@p103) :args (@t20)) % 127.79/129.22 (step @p105 :rule refl :args (@t9)) % 127.79/129.22 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t21)) % 127.79/129.22 (step @p107 :rule cong :premises (@p106) :args (@t22)) % 127.79/129.22 (step @p108 :rule trans :premises (@p107 @p98)) % 127.79/129.22 (step @p109 :rule alpha_equiv :args (@t431 @t425 (@list @t205))) % 127.79/129.22 (step @p110 :rule nary_cong :premises (@p87 @p109) :args (@t432)) % 127.79/129.22 (step @p111 :rule cong :premises (@p110) :args (@t433)) % 127.79/129.22 (step @p112 :rule nary_cong :premises (@p39 @p111) :args (@t434)) % 127.79/129.22 (step @p113 :rule cong :premises (@p112) :args ((forall @t10 @t434))) % 127.79/129.22 (step @p114 :rule alpha_equiv :args (@t6 @t383 @t435)) % 127.79/129.22 (step @p115 :rule cong :premises (@p114) :args (@t7)) % 127.79/129.22 (step @p116 :rule alpha_equiv :args (@t384 @t383 (@list @t208))) % 127.79/129.22 (step @p117 :rule nary_cong :premises (@p39 @p116 @p115) :args (@t385)) % 127.79/129.22 (step @p118 :rule cong :premises (@p117) :args (@t386)) % 127.79/129.22 (step @p119 :rule nary_cong :premises (@p87 @p118) :args (@t436)) % 127.79/129.22 (step @p120 :rule cong :premises (@p119) :args ((forall @t2 @t436))) % 127.79/129.22 (step @p121 :rule refl :args (@t5)) % 127.79/129.22 (step @p122 :rule nary_cong :premises (@p121 @p91) :args (@t23)) % 127.79/129.22 (step @p123 :rule cong :premises (@p122) :args (@t24)) % 127.79/129.22 (step @p124 :rule trans :premises (@p123 @p120)) % 127.79/129.22 (step @p125 :rule nary_cong :premises (@p105 @p124) :args (@t25)) % 127.79/129.22 (step @p126 :rule cong :premises (@p125) :args (@t26)) % 127.79/129.22 (step @p127 :rule trans :premises (@p126 @p113)) % 127.79/129.22 (step @p128 :rule alpha_equiv :args (@t437 @t425 (@list @t220))) % 127.79/129.22 (step @p129 :rule nary_cong :premises (@p87 @p128) :args (@t438)) % 127.79/129.22 (step @p130 :rule cong :premises (@p129) :args (@t439)) % 127.79/129.22 (step @p131 :rule nary_cong :premises (@p39 @p130) :args (@t440)) % 127.79/129.22 (step @p132 :rule cong :premises (@p131) :args ((forall @t10 @t440))) % 127.79/129.22 (step @p133 :rule alpha_equiv :args (@t387 @t383 (@list @t217))) % 127.79/129.22 (step @p134 :rule nary_cong :premises (@p39 @p133) :args (@t388)) % 127.79/129.22 (step @p135 :rule cong :premises (@p134) :args (@t389)) % 127.79/129.22 (step @p136 :rule nary_cong :premises (@p87 @p135) :args (@t441)) % 127.79/129.22 (step @p137 :rule cong :premises (@p136) :args ((forall @t2 @t441))) % 127.79/129.22 (step @p138 :rule nary_cong :premises (@p121 @p108) :args (@t27)) % 127.79/129.22 (step @p139 :rule cong :premises (@p138) :args (@t28)) % 127.79/129.22 (step @p140 :rule trans :premises (@p139 @p137)) % 127.79/129.22 (step @p141 :rule nary_cong :premises (@p105 @p140) :args (@t29)) % 127.79/129.22 (step @p142 :rule cong :premises (@p141) :args (@t30)) % 127.79/129.22 (step @p143 :rule trans :premises (@p142 @p132)) % 127.79/129.22 (step @p144 :rule alpha_equiv :args (@t442 @t425 (@list @t230))) % 127.79/129.22 (step @p145 :rule nary_cong :premises (@p87 @p144) :args (@t443)) % 127.79/129.22 (step @p146 :rule cong :premises (@p145) :args (@t444)) % 127.79/129.22 (step @p147 :rule nary_cong :premises (@p39 @p146) :args (@t445)) % 127.79/129.22 (step @p148 :rule cong :premises (@p147) :args ((forall @t10 @t445))) % 127.79/129.22 (step @p149 :rule alpha_equiv :args (@t390 @t383 (@list @t228))) % 127.79/129.22 (step @p150 :rule nary_cong :premises (@p39 @p149) :args (@t391)) % 127.79/129.22 (step @p151 :rule cong :premises (@p150) :args (@t392)) % 127.79/129.22 (step @p152 :rule nary_cong :premises (@p87 @p151) :args (@t446)) % 127.79/129.22 (step @p153 :rule cong :premises (@p152) :args ((forall @t2 @t446))) % 127.79/129.22 (step @p154 :rule nary_cong :premises (@p121 @p127) :args (@t31)) % 127.79/129.22 (step @p155 :rule cong :premises (@p154) :args (@t32)) % 127.79/129.22 (step @p156 :rule trans :premises (@p155 @p153)) % 127.79/129.22 (step @p157 :rule nary_cong :premises (@p105 @p156) :args (@t33)) % 127.79/129.22 (step @p158 :rule cong :premises (@p157) :args (@t34)) % 127.79/129.22 (step @p159 :rule trans :premises (@p158 @p148)) % 127.79/129.22 (step @p160 :rule alpha_equiv :args (@t447 @t425 (@list @t268))) % 127.79/129.22 (step @p161 :rule nary_cong :premises (@p87 @p160) :args (@t448)) % 127.79/129.22 (step @p162 :rule cong :premises (@p161) :args (@t449)) % 127.79/129.22 (step @p163 :rule nary_cong :premises (@p39 @p162) :args (@t450)) % 127.79/129.22 (step @p164 :rule cong :premises (@p163) :args ((forall @t10 @t450))) % 127.79/129.22 (step @p165 :rule alpha_equiv :args (@t451 @t383 (@list @t265))) % 127.79/129.22 (step @p166 :rule nary_cong :premises (@p39 @p165) :args (@t452)) % 127.79/129.22 (step @p167 :rule cong :premises (@p166) :args (@t453)) % 127.79/129.22 (step @p168 :rule nary_cong :premises (@p87 @p167) :args (@t454)) % 127.79/129.22 (step @p169 :rule cong :premises (@p168) :args ((forall @t2 @t454))) % 127.79/129.22 (step @p170 :rule alpha_equiv :args (@t455 @t425 (@list @t262))) % 127.79/129.22 (step @p171 :rule nary_cong :premises (@p87 @p170) :args (@t456)) % 127.79/129.22 (step @p172 :rule cong :premises (@p171) :args (@t457)) % 127.79/129.22 (step @p173 :rule nary_cong :premises (@p39 @p172) :args (@t458)) % 127.79/129.22 (step @p174 :rule cong :premises (@p173) :args ((forall @t10 @t458))) % 127.79/129.22 (step @p175 :rule alpha_equiv :args (@t459 @t383 (@list @t248))) % 127.79/129.22 (step @p176 :rule nary_cong :premises (@p39 @p175) :args (@t460)) % 127.79/129.22 (step @p177 :rule cong :premises (@p176) :args (@t461)) % 127.79/129.22 (step @p178 :rule nary_cong :premises (@p87 @p177) :args (@t462)) % 127.79/129.22 (step @p179 :rule cong :premises (@p178) :args ((forall @t2 @t462))) % 127.79/129.22 (step @p180 :rule alpha_equiv :args (@t463 @t425 (@list @t244))) % 127.79/129.22 (step @p181 :rule cong :premises (@p180) :args (@t464)) % 127.79/129.22 (step @p182 :rule alpha_equiv :args (@t465 @t425 (@list @t253))) % 127.79/129.22 (step @p183 :rule alpha_equiv :args (@t11 @t425 @t466)) % 127.79/129.22 (step @p184 :rule nary_cong :premises (@p87 @p183 @p182 @p181) :args (@t467)) % 127.79/129.22 (step @p185 :rule cong :premises (@p184) :args (@t468)) % 127.79/129.22 (step @p186 :rule nary_cong :premises (@p39 @p185) :args (@t469)) % 127.79/129.22 (step @p187 :rule cong :premises (@p186) :args ((forall @t10 @t469))) % 127.79/129.22 (step @p188 :rule alpha_equiv :args (@t470 @t383 (@list @t238))) % 127.79/129.22 (step @p189 :rule cong :premises (@p188) :args (@t471)) % 127.79/129.22 (step @p190 :rule refl :args (@t8)) % 127.79/129.22 (step @p191 :rule nary_cong :premises (@p39 @p190 @p189) :args (@t472)) % 127.79/129.22 (step @p192 :rule cong :premises (@p191) :args (@t473)) % 127.79/129.22 (step @p193 :rule cong :premises (@p192) :args (@t474)) % 127.79/129.22 (step @p194 :rule alpha_equiv :args (@t6 @t383 @t475)) % 127.79/129.22 (step @p195 :rule cong :premises (@p194) :args (@t7)) % 127.79/129.22 (step @p196 :rule nary_cong :premises (@p39 @p195) :args (@t42)) % 127.79/129.22 (step @p197 :rule cong :premises (@p196) :args (@t43)) % 127.79/129.22 (step @p198 :rule refl :args (@t11)) % 127.79/129.22 (step @p199 :rule nary_cong :premises (@p87 @p198 @p197 @p193) :args (@t476)) % 127.79/129.22 (step @p200 :rule cong :premises (@p199) :args ((forall @t2 @t476))) % 127.79/129.22 (step @p201 :rule refl :args (@t35)) % 127.79/129.22 (step @p202 :rule alpha_equiv :args (@t11 @t425 @t477)) % 127.79/129.22 (step @p203 :rule nary_cong :premises (@p87 @p202 @p201) :args (@t36)) % 127.79/129.22 (step @p204 :rule cong :premises (@p203) :args (@t37)) % 127.79/129.22 (step @p205 :rule cong :premises (@p204) :args (@t38)) % 127.79/129.22 (step @p206 :rule nary_cong :premises (@p39 @p190 @p205) :args (@t39)) % 127.79/129.22 (step @p207 :rule cong :premises (@p206) :args (@t40)) % 127.79/129.22 (step @p208 :rule cong :premises (@p207) :args (@t41)) % 127.79/129.22 (step @p209 :rule refl :args (@t43)) % 127.79/129.22 (step @p210 :rule refl :args (@t11)) % 127.79/129.22 (step @p211 :rule nary_cong :premises (@p121 @p210 @p209 @p208) :args (@t44)) % 127.79/129.22 (step @p212 :rule cong :premises (@p211) :args (@t45)) % 127.79/129.22 (step @p213 :rule trans :premises (@p212 @p200)) % 127.79/129.22 (step @p214 :rule nary_cong :premises (@p105 @p213) :args (@t46)) % 127.79/129.22 (step @p215 :rule cong :premises (@p214) :args (@t47)) % 127.79/129.22 (step @p216 :rule trans :premises (@p215 @p187)) % 127.79/129.22 (step @p217 :rule nary_cong :premises (@p121 @p216) :args (@t48)) % 127.79/129.22 (step @p218 :rule cong :premises (@p217) :args (@t49)) % 127.79/129.22 (step @p219 :rule trans :premises (@p218 @p179)) % 127.79/129.22 (step @p220 :rule nary_cong :premises (@p105 @p219) :args (@t50)) % 127.79/129.22 (step @p221 :rule cong :premises (@p220) :args (@t51)) % 127.79/129.22 (step @p222 :rule trans :premises (@p221 @p174)) % 127.79/129.22 (step @p223 :rule nary_cong :premises (@p121 @p222) :args (@t52)) % 127.79/129.22 (step @p224 :rule cong :premises (@p223) :args (@t53)) % 127.79/129.22 (step @p225 :rule trans :premises (@p224 @p169)) % 127.79/129.22 (step @p226 :rule nary_cong :premises (@p105 @p225) :args (@t54)) % 127.79/129.22 (step @p227 :rule cong :premises (@p226) :args (@t55)) % 127.79/129.22 (step @p228 :rule trans :premises (@p227 @p164)) % 127.79/129.22 (step @p229 :rule cong :premises (@p228) :args (@t56)) % 127.79/129.22 (step @p230 :rule nary_cong :premises (@p229 @p159 @p143 @p127 @p108 @p91) :args (@t57)) % 127.79/129.22 (step @p231 :rule 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@p282 :rule cong :premises (@p281) :args (@t76)) % 127.79/129.22 (step @p283 :rule refl :args (@t77)) % 127.79/129.22 (step @p284 :rule refl :args (@t78)) % 127.79/129.22 (step @p285 :rule nary_cong :premises (@p284 @p283 @p282) :args (@t79)) % 127.79/129.22 (step @p286 :rule cong :premises (@p285) :args (@t81)) % 127.79/129.22 (step @p287 :rule nary_cong :premises (@p39 @p286) :args (@t82)) % 127.79/129.22 (step @p288 :rule cong :premises (@p287) :args (@t83)) % 127.79/129.22 (step @p289 :rule nary_cong :premises (@p288 @p280) :args (@t84)) % 127.79/129.22 (step @p290 :rule refl :args (@t88)) % 127.79/129.22 (step @p291 :rule alpha_equiv :args (@t90 @t425 (@list @t291))) % 127.79/129.22 (step @p292 :rule refl :args (@t91)) % 127.79/129.22 (step @p293 :rule nary_cong :premises (@p292 @p291) :args (@t92)) % 127.79/129.22 (step @p294 :rule cong :premises (@p293) :args (@t94)) % 127.79/129.22 (step @p295 :rule nary_cong :premises (@p39 @p294 @p290) :args (@t95)) % 127.79/129.22 (step @p296 :rule cong :premises (@p295) :args (@t96)) % 127.79/129.22 (step @p297 :rule refl :args (@t98)) % 127.79/129.22 (step @p298 :rule alpha_equiv :args (@t99 @t425 (@list @t295))) % 127.79/129.22 (step @p299 :rule refl :args (@t100)) % 127.79/129.22 (step @p300 :rule nary_cong :premises (@p299 @p298 @p297) :args (@t101)) % 127.79/129.22 (step @p301 :rule cong :premises (@p300) :args (@t103)) % 127.79/129.22 (step @p302 :rule cong :premises (@p301) :args (@t104)) % 127.79/129.22 (step @p303 :rule nary_cong :premises (@p39 @p190 @p302) :args (@t105)) % 127.79/129.22 (step @p304 :rule cong :premises (@p303) :args (@t106)) % 127.79/129.22 (step @p305 :rule cong :premises (@p304) :args (@t107)) % 127.79/129.22 (step @p306 :rule refl :args (@t111)) % 127.79/129.22 (step @p307 :rule refl :args (@t3)) % 127.79/129.22 (step @p308 :rule nary_cong :premises (@p307 @p306 @p305) :args (@t112)) % 127.79/129.22 (step @p309 :rule refl :args (@t114)) % 127.79/129.22 (step @p310 :rule alpha_equiv 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@p351 :rule cong :premises (@p350) :args (@t149)) % 127.79/129.22 (step @p352 :rule trans :premises (@p351 @p271)) % 127.79/129.22 (step @p353 :rule nary_cong :premises (@p121 @p352) :args (@t150)) % 127.79/129.22 (step @p354 :rule cong :premises (@p353) :args (@t151)) % 127.79/129.22 (step @p355 :rule trans :premises (@p354 @p251)) % 127.79/129.22 (step @p356 :rule nary_cong :premises (@p105 @p355) :args (@t152)) % 127.79/129.22 (step @p357 :rule cong :premises (@p356) :args (@t153)) % 127.79/129.22 (step @p358 :rule trans :premises (@p357 @p246)) % 127.79/129.22 (step @p359 :rule nary_cong :premises (@p121 @p358) :args (@t154)) % 127.79/129.22 (step @p360 :rule cong :premises (@p359) :args (@t155)) % 127.79/129.22 (step @p361 :rule trans :premises (@p360 @p241)) % 127.79/129.22 (step @p362 :rule nary_cong :premises (@p105 @p361) :args (@t156)) % 127.79/129.22 (step @p363 :rule cong :premises (@p362) :args (@t157)) % 127.79/129.22 (step @p364 :rule trans :premises (@p363 @p236)) % 127.79/129.22 (step @p365 :rule cong :premises (@p364) :args (@t158)) % 127.79/129.22 (step @p366 :rule alpha_equiv :args (@t517 @t425 (@list @t345))) % 127.79/129.22 (step @p367 :rule nary_cong :premises (@p87 @p366) :args (@t518)) % 127.79/129.22 (step @p368 :rule cong :premises (@p367) :args (@t519)) % 127.79/129.22 (step @p369 :rule nary_cong :premises (@p39 @p368) :args (@t520)) % 127.79/129.22 (step @p370 :rule cong :premises (@p369) :args ((forall @t10 @t520))) % 127.79/129.22 (step @p371 :rule alpha_equiv :args (@t396 @t383 (@list @t343))) % 127.79/129.22 (step @p372 :rule nary_cong :premises (@p39 @p371) :args (@t397)) % 127.79/129.22 (step @p373 :rule cong :premises (@p372) :args (@t398)) % 127.79/129.22 (step @p374 :rule nary_cong :premises (@p87 @p373) :args (@t521)) % 127.79/129.22 (step @p375 :rule cong :premises (@p374) :args ((forall @t2 @t521))) % 127.79/129.22 (step @p376 :rule nary_cong :premises (@p121 @p159) :args (@t159)) % 127.79/129.22 (step @p377 :rule cong 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127.79/129.22 (step @p429 :rule nary_cong :premises (@p105 @p428) :args (@t175)) % 127.79/129.22 (step @p430 :rule cong :premises (@p429) :args (@t176)) % 127.79/129.22 (step @p431 :rule trans :premises (@p430 @p420)) % 127.79/129.22 (step @p432 :rule cong :premises (@p431) :args (@t177)) % 127.79/129.22 (step @p433 :rule nary_cong :premises (@p432 @p415 @p382 @p365 @p231) :args (@t178)) % 127.79/129.22 (step @p434 :rule cong :premises (@p433) :args (@t179)) % 127.79/129.22 (step @p435 :rule cong :premises (@p434) :args (@t180)) % 127.79/129.22 (step @p436 :rule trans :premises (@p435 @p84)) % 127.79/129.22 (step @p437 :rule bool-double-not-elim :args (@t180)) % 127.79/129.22 (step @p438 :rule trans :premises (@p437 @p436)) % 127.79/129.22 (step @p439 :rule eq_resolve :premises (@p2 @p438)) % 127.79/129.22 (step @p440 :rule skolemize :premises (@p439)) % 127.79/129.22 (step @p441 :rule bool-double-not-elim :args (@t542)) % 127.79/129.22 (step @p442 :rule refl :args (@t547)) % 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(step @p540 :rule chain_m_resolution :premises (@p539 @p521) :args (@t599 @t548 @t605)) % 127.79/129.22 (step @p541 :rule alpha_equiv :args (@t599 @t626 (@list @t59 @t277 @t279))) % 127.79/129.22 (step @p542 :rule equiv_elim1 :premises (@p541)) % 127.79/129.22 (step @p543 :rule chain_m_resolution :premises (@p542 @p540) :args (@t606 @t624 @t627)) % 127.79/129.22 (step @p544 :rule cnf_or_pos :args (@t609)) % 127.79/129.22 (step @p545 :rule reordering :premises (@p544) :args ((or @t608 @t607 (not @t609)))) % 127.79/129.22 (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p534) :args (@t608 @t559 (@list @t606 @t609))) % 127.79/129.22 (step @p547 :rule instantiate :premises (@p546) :args ((@list @t628))) % 127.79/129.22 (step @p548 :rule cnf_and_pos :args (@t621 0)) % 127.79/129.22 (step @p549 :rule reordering :premises (@p548) :args ((or @t620 @t623))) % 127.79/129.22 (step @p550 :rule chain_m_resolution :premises (@p549 @p531) :args (@t620 @t624 @t625)) % 127.79/129.22 (step @p551 :rule bool-double-not-elim :args (@t632)) % 127.79/129.22 (step @p552 :rule refl :args (@t635)) % 127.79/129.22 (step @p553 :rule nary_cong :premises (@p552 @p551) :args ((or @t635 (not @t634)))) % 127.79/129.22 (step @p554 :rule cnf_or_neg :args (@t635 0)) % 127.79/129.22 (step @p555 :rule eq_resolve :premises (@p554 @p553)) % 127.79/129.22 (step @p556 :rule reordering :premises (@p555) :args ((or @t632 @t635))) % 127.79/129.22 (step @p557 :rule cnf_or_neg :args (@t635 1)) % 127.79/129.22 (step @p558 :rule bool-double-not-elim :args (@t545)) % 127.79/129.22 (step @p559 :rule nary_cong :premises (@p442 @p558) :args ((or @t547 (not @t546)))) % 127.79/129.22 (step @p560 :rule cnf_or_neg :args (@t547 2)) % 127.79/129.22 (step @p561 :rule eq_resolve :premises (@p560 @p559)) % 127.79/129.22 (step @p562 :rule reordering :premises (@p561) :args ((or @t545 @t547))) % 127.79/129.22 (step @p563 :rule chain_m_resolution :premises (@p562 @p440) :args (@t545 @t548 @t549)) % 127.79/129.22 (step @p564 :rule instantiate :premises (@p563) :args (@t551)) % 127.79/129.22 (step @p565 :rule cnf_or_pos :args (@t637)) % 127.79/129.22 (step @p566 :rule reordering :premises (@p565) :args ((or @t554 @t636 (not @t637)))) % 127.79/129.22 (step @p567 :rule chain_m_resolution :premises (@p566 @p458 @p564) :args (@t636 @t559 (@list @t552 @t637))) % 127.79/129.22 (step @p568 :rule instantiate :premises (@p567) :args (@t561)) % 127.79/129.22 (step @p569 :rule cnf_or_pos :args (@t639)) % 127.79/129.22 (step @p570 :rule reordering :premises (@p569) :args ((or @t564 @t638 (not @t639)))) % 127.79/129.22 (step @p571 :rule chain_m_resolution :premises (@p570 @p472 @p568) :args (@t638 @t559 (@list @t562 @t639))) % 127.79/129.22 (step @p572 :rule instantiate :premises (@p571) :args (@t570)) % 127.79/129.22 (step @p573 :rule cnf_or_pos :args (@t641)) % 127.79/129.22 (step @p574 :rule reordering :premises (@p573) :args ((or @t573 @t640 (not @t641)))) % 127.79/129.22 (step @p575 :rule 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(step @p610 :rule chain_m_resolution :premises (@p609 @p607 @p601 @p588) :args (@t657 (@list false false false) (@list @t651 @t655 @t658))) % 127.79/129.22 (step @p611 :rule instantiate :premises (@p610) :args ((@list @t631))) % 127.79/129.22 (step @p612 :rule cnf_or_pos :args (@t660)) % 127.79/129.22 (step @p613 :rule reordering :premises (@p612) :args ((or @t634 @t659 (not @t660)))) % 127.79/129.22 (step @p614 :rule alpha_equiv :args (@t633 @t477 @t426)) % 127.79/129.22 (step @p615 :rule equiv_elim2 :premises (@p614)) % 127.79/129.22 (step @p616 :rule chain_m_resolution :premises (@p615 @p613 @p611 @p557 @p556) :args (@t635 (@list false false true false) (@list @t659 @t660 @t633 @t632))) % 127.79/129.22 (step @p617 :rule refl :args (@t661)) % 127.79/129.22 (step @p618 :rule bool-double-not-elim :args (@t630)) % 127.79/129.22 (step @p619 :rule nary_cong :premises (@p618 @p617) :args ((or (not @t662) @t661))) % 127.79/129.22 (assume-push @p736 @t662) % 127.79/129.22 (step @p621 :rule 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@t617) % 127.79/129.22 (step @p634 :rule instantiate :premises (@p738) :args (@t648)) % 127.79/129.22 (step-pop @p739 :rule scope :premises (@p634)) % 127.79/129.22 (step @p635 :rule process_scope :premises (@p739) :args (@t666)) % 127.79/129.22 (step @p637 :rule implies_elim :premises (@p635)) % 127.79/129.22 (step @p638 :rule chain_m_resolution :premises (@p637 @p632) :args ((not @t617) @t548 (@list @t666))) % 127.79/129.22 (step @p639 :rule cnf_or_neg :args (@t604 1)) % 127.79/129.22 (step @p640 :rule chain_m_resolution :premises (@p639 @p521) :args ((not @t602) @t548 @t605)) % 127.79/129.22 (step @p641 :rule alpha_equiv :args (@t602 @t466 @t505)) % 127.79/129.22 (step @p642 :rule equiv_elim2 :premises (@p641)) % 127.79/129.22 (step @p643 :rule chain_m_resolution :premises (@p642 @p640) :args ((not @t619) @t548 (@list @t602))) % 127.79/129.22 (step @p644 :rule cnf_and_pos :args (@t621 1)) % 127.79/129.22 (step @p645 :rule reordering :premises (@p644) :args ((or @t614 @t623))) % 127.79/129.22 (step @p646 :rule chain_m_resolution :premises (@p645 @p531) :args (@t614 @t624 @t625)) % 127.79/129.22 (step @p647 :rule alpha_equiv :args (@t599 @t626 @t668)) % 127.79/129.22 (step @p648 :rule equiv_elim1 :premises (@p647)) % 127.79/129.22 (step @p649 :rule chain_m_resolution :premises (@p648 @p540) :args (@t610 @t624 @t627)) % 127.79/129.22 (step @p650 :rule alpha_equiv :args (@t601 (@list @t251 @t253) (@list @t108 @t301))) % 127.79/129.22 (step @p651 :rule equiv_elim2 :premises (@p650)) % 127.79/129.22 (step @p652 :rule chain_m_resolution :premises (@p651 @p590) :args ((not @t612) @t548 (@list @t601))) % 127.79/129.22 (step @p653 :rule cnf_or_pos :args (@t614)) % 127.79/129.22 (step @p654 :rule reordering :premises (@p653) :args ((or @t613 @t612 @t611 (not @t614)))) % 127.79/129.22 (step @p655 :rule chain_m_resolution :premises (@p654 @p652 @p649 @p646) :args (@t613 (@list true false false) (@list @t612 @t610 @t614))) % 127.79/129.22 (step @p656 :rule cnf_or_pos :args (@t620)) % 127.79/129.22 (step @p657 :rule reordering :premises (@p656) :args ((or @t618 @t619 @t617 @t616 (not @t620)))) % 127.79/129.22 (step @p658 :rule chain_m_resolution :premises (@p657 @p655 @p643 @p638 @p550) :args (@t616 (@list false true true false) (@list @t613 @t619 @t617 @t620))) % 127.79/129.22 (step @p659 :rule refl :args (@t675)) % 127.79/129.22 (step @p660 :rule bool-double-not-elim :args (@t615)) % 127.79/129.22 (step @p661 :rule nary_cong :premises (@p660 @p659) :args ((or (not @t616) @t675))) % 127.79/129.22 (assume-push @p740 @t616) % 127.79/129.22 (step @p663 :rule skolemize :premises (@p740)) % 127.79/129.22 (step-pop @p741 :rule scope :premises (@p663)) % 127.79/129.22 (step @p664 :rule process_scope :premises (@p741) :args (@t675)) % 127.79/129.22 (step @p666 :rule implies_elim :premises (@p664)) % 127.79/129.22 (step @p667 :rule eq_resolve :premises (@p666 @p661)) % 127.79/129.22 (step @p668 :rule chain_m_resolution :premises (@p667 @p658) :args (@t675 @t548 (@list @t615))) % 127.79/129.22 (step @p669 :rule bool-double-not-elim :args (@t672)) % 127.79/129.22 (step @p670 :rule refl :args (@t674)) % 127.79/129.22 (step @p671 :rule nary_cong :premises (@p670 @p669) :args ((or @t674 (not @t673)))) % 127.79/129.22 (step @p672 :rule cnf_or_neg :args (@t674 0)) % 127.79/129.22 (step @p673 :rule eq_resolve :premises (@p672 @p671)) % 127.79/129.22 (step @p674 :rule reordering :premises (@p673) :args ((or @t672 @t674))) % 127.79/129.22 (step @p675 :rule chain_m_resolution :premises (@p674 @p668) :args (@t672 @t548 @t676)) % 127.79/129.22 (step @p676 :rule cnf_or_pos :args (@t678)) % 127.79/129.22 (step @p677 :rule reordering :premises (@p676) :args ((or @t673 @t677 (not @t678)))) % 127.79/129.22 (step @p678 :rule chain_m_resolution :premises (@p677 @p675 @p547) :args (@t677 @t559 (@list @t672 @t678))) % 127.79/129.22 (step @p679 :rule alpha_equiv :args (@t679 @t668 (@list @t284 @t71 @t74))) % 127.79/129.22 (step @p680 :rule equiv_elim2 :premises (@p679)) % 127.79/129.23 (step @p681 :rule chain_m_resolution :premises (@p680 @p678) :args (@t679 @t624 (@list @t677))) % 127.79/129.23 (step @p682 :rule bool-double-not-elim :args (@t669)) % 127.79/129.23 (step @p683 :rule nary_cong :premises (@p670 @p682) :args ((or @t674 (not @t670)))) % 127.79/129.23 (step @p684 :rule cnf_or_neg :args (@t674 3)) % 127.79/129.23 (step @p685 :rule eq_resolve :premises (@p684 @p683)) % 127.79/129.23 (step @p686 :rule reordering :premises (@p685) :args ((or @t669 @t674))) % 127.79/129.23 (step @p687 :rule chain_m_resolution :premises (@p686 @p668) :args (@t669 @t548 @t676)) % 127.79/129.23 (assume-push @p742 @t669) % 127.79/129.23 (step @p689 :rule instantiate :premises (@p742) :args (@t681)) % 127.79/129.23 (step-pop @p743 :rule scope :premises (@p689)) % 127.79/129.23 (step @p690 :rule process_scope :premises (@p743) :args (@t687)) % 127.79/129.23 (step @p692 :rule implies_elim :premises (@p690)) % 127.79/129.23 (step @p693 :rule chain_m_resolution :premises (@p692 @p687) :args (@t687 @t624 (@list @t669))) % 127.79/129.23 (step @p694 :rule cnf_or_neg :args (@t674 1)) % 127.79/129.23 (step @p695 :rule chain_m_resolution :premises (@p694 @p668) :args (@t688 @t548 @t676)) % 127.79/129.23 (step @p696 :rule refl :args (@t690)) % 127.79/129.23 (step @p697 :rule bool-double-not-elim :args (@t671)) % 127.79/129.23 (step @p698 :rule nary_cong :premises (@p697 @p696) :args ((or (not @t688) @t690))) % 127.79/129.23 (assume-push @p744 @t688) % 127.79/129.23 (step @p700 :rule skolemize :premises (@p744)) % 127.79/129.23 (step-pop @p745 :rule scope :premises (@p700)) % 127.79/129.23 (step @p701 :rule process_scope :premises (@p745) :args (@t690)) % 127.79/129.23 (step @p703 :rule implies_elim :premises (@p701)) % 127.79/129.23 (step @p704 :rule eq_resolve :premises (@p703 @p698)) % 127.79/129.23 (step @p705 :rule chain_m_resolution :premises (@p704 @p695) :args (@t690 @t548 (@list @t671))) % 127.79/129.23 (step @p706 :rule cnf_or_neg :args (@t689 1)) % 127.79/129.23 (step @p707 :rule chain_m_resolution :premises (@p706 @p705) :args ((not @t682) @t548 @t691)) % 127.79/129.23 (step @p708 :rule cnf_and_pos :args (@t683 1)) % 127.79/129.23 (step @p709 :rule reordering :premises (@p708) :args ((or @t682 @t692))) % 127.79/129.23 (step @p710 :rule chain_m_resolution :premises (@p709 @p707) :args (@t692 @t548 (@list @t682))) % 127.79/129.23 (step @p711 :rule bool-double-not-elim :args (@t685)) % 127.79/129.23 (step @p712 :rule refl :args (@t689)) % 127.79/129.23 (step @p713 :rule nary_cong :premises (@p712 @p711) :args ((or @t689 (not @t686)))) % 127.79/129.23 (step @p714 :rule cnf_or_neg :args (@t689 0)) % 127.79/129.23 (step @p715 :rule eq_resolve :premises (@p714 @p713)) % 127.79/129.23 (step @p716 :rule reordering :premises (@p715) :args ((or @t685 @t689))) % 127.79/129.23 (step @p717 :rule chain_m_resolution :premises (@p716 @p705) :args (@t685 @t548 @t691)) % 127.79/129.23 (step @p718 :rule cnf_or_pos :args (@t687)) % 127.79/129.23 (step @p719 :rule reordering :premises (@p718) :args ((or @t686 @t684 @t683 (not @t687)))) % 127.79/129.23 (step @p720 :rule chain_m_resolution :premises (@p719 @p717 @p710 @p693) :args (@t684 @t693 (@list @t685 @t683 @t687))) % 127.79/129.23 (step @p721 :rule alpha_equiv :args (@t694 @t663 (@list @t118 @t309))) % 127.79/129.23 (step @p722 :rule equiv_elim2 :premises (@p721)) % 127.79/129.23 (step @p723 :rule chain_m_resolution :premises (@p722 @p720) :args (@t694 @t624 (@list @t684))) % 127.79/129.23 (step @p724 :rule alpha_equiv :args (@t694 @t663 (@list @t295 @t97))) % 127.79/129.23 (step @p725 :rule equiv_elim1 :premises (@p724)) % 127.79/129.23 (step @p726 :rule chain_m_resolution :premises (@p725 @p723) :args (@t695 @t624 (@list @t694))) % 127.79/129.23 (step @p727 :rule cnf_or_pos :args (@t697)) % 127.79/129.23 (step @p728 :rule reordering :premises (@p727) :args ((or @t686 @t682 @t696 @t698))) % 127.79/129.23 (step @p729 :rule chain_m_resolution :premises (@p728 @p717 @p707 @p726) :args (@t698 @t693 (@list @t685 @t682 @t695))) % 127.79/129.23 (assume-push @p746 @t679) % 127.79/129.23 (step @p731 :rule instantiate :premises (@p746) :args (@t681)) % 127.79/129.23 (step-pop @p747 :rule scope :premises (@p731)) % 127.79/129.23 (step @p732 :rule process_scope :premises (@p747) :args (@t697)) % 127.79/129.23 (step @p734 :rule implies_elim :premises (@p732)) % 127.79/129.23 (step @p735 false :rule chain_m_resolution :premises (@p734 @p729 @p681) :args (false (@list true false) (@list @t697 @t679))) % 127.79/129.23 ) % 127.79/129.23 % SZS output end Proof % 127.79/129.23 % cvc5 exiting %------------------------------------------------------------------------------