%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL640+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 11:23:13 AM UTC 2026 % Result : Theorem 127.25s 129.28s % Output : Proof 127.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL640+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.35 % Computer : n009.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 01:29:21 UTC 2026 % 0.08/0.35 % CPUTime : % 0.12/0.42 %----Proving TF0_NAR, FOF, or CNF % 127.25/129.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 127.25/129.28 --- Run --no-e-matching --full-saturate-quant at 6... % 127.25/129.28 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 127.25/129.28 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 127.25/129.28 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 127.25/129.28 --- Run --trigger-sel=max --full-saturate-quant at 15... % 127.25/129.28 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 127.25/129.28 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.25/129.28 --- Run --prenex-quant=none --full-saturate-quant at 30... % 127.25/129.28 % SZS status Theorem % 127.25/129.28 % SZS output start Proof % 127.25/129.28 ( % 127.25/129.28 (declare-sort $$unsorted 0) % 127.25/129.28 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 127.25/129.28 (declare-const tptp.p1 (-> $$unsorted Bool)) % 127.25/129.28 (define @t1 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t2 () (tptp.p1 @t1)) % 127.25/129.28 (define @t3 () (@var "X" $$unsorted)) % 127.25/129.28 (define @t4 () (not (tptp.r1 @t3 @t1))) % 127.25/129.28 (define @t5 () (@list @t1)) % 127.25/129.28 (define @t6 () (forall @t5 (or @t4 @t2))) % 127.25/129.28 (define @t7 () (not @t6)) % 127.25/129.28 (define @t8 () (tptp.p1 @t3)) % 127.25/129.28 (define @t9 () (not (tptp.r1 @t1 @t3))) % 127.25/129.28 (define @t10 () (@list @t3)) % 127.25/129.28 (define @t11 () (forall @t10 (or @t9 @t8))) % 127.25/129.28 (define @t12 () (or @t4 @t11)) % 127.25/129.28 (define @t13 () (forall @t5 @t12)) % 127.25/129.28 (define @t14 () (or @t9 @t13 @t7)) % 127.25/129.28 (define @t15 () (forall @t10 @t14)) % 127.25/129.28 (define @t16 () (not @t2)) % 127.25/129.28 (define @t17 () (or @t4 @t11 @t16)) % 127.25/129.28 (define @t18 () (forall @t5 @t17)) % 127.25/129.28 (define @t19 () (not @t18)) % 127.25/129.28 (define @t20 () (or @t9 @t8 @t19)) % 127.25/129.28 (define @t21 () (forall @t10 @t20)) % 127.25/129.28 (define @t22 () (not @t21)) % 127.25/129.28 (define @t23 () (or @t9 @t7)) % 127.25/129.28 (define @t24 () (forall @t10 @t23)) % 127.25/129.28 (define @t25 () (or @t2 @t24 @t22)) % 127.25/129.28 (define @t26 () (and @t25 @t15)) % 127.25/129.28 (define @t27 () (or @t4 @t26)) % 127.25/129.28 (define @t28 () (forall @t5 @t27)) % 127.25/129.28 (define @t29 () (not @t11)) % 127.25/129.28 (define @t30 () (or @t9 @t6)) % 127.25/129.28 (define @t31 () (forall @t10 @t30)) % 127.25/129.28 (define @t32 () (or @t4 @t31 @t29)) % 127.25/129.28 (define @t33 () (forall @t5 @t32)) % 127.25/129.28 (define @t34 () (not @t8)) % 127.25/129.28 (define @t35 () (or @t9 @t6 @t34)) % 127.25/129.28 (define @t36 () (forall @t10 @t35)) % 127.25/129.28 (define @t37 () (not @t36)) % 127.25/129.28 (define @t38 () (or @t4 @t2 @t37)) % 127.25/129.28 (define @t39 () (forall @t5 @t38)) % 127.25/129.28 (define @t40 () (not @t39)) % 127.25/129.28 (define @t41 () (or @t4 @t29)) % 127.25/129.28 (define @t42 () (forall @t5 @t41)) % 127.25/129.28 (define @t43 () (or @t8 @t42 @t40)) % 127.25/129.28 (define @t44 () (and @t43 @t33)) % 127.25/129.28 (define @t45 () (or @t9 @t44)) % 127.25/129.28 (define @t46 () (forall @t10 @t45)) % 127.25/129.28 (define @t47 () (or @t4 @t46)) % 127.25/129.28 (define @t48 () (forall @t5 @t47)) % 127.25/129.28 (define @t49 () (or @t4 @t11 @t24 @t22)) % 127.25/129.28 (define @t50 () (forall @t5 @t49)) % 127.25/129.28 (define @t51 () (or @t9 @t50)) % 127.25/129.28 (define @t52 () (forall @t10 @t51)) % 127.25/129.28 (define @t53 () (or @t4 @t52)) % 127.25/129.28 (define @t54 () (forall @t5 @t53)) % 127.25/129.28 (define @t55 () (not @t54)) % 127.25/129.28 (define @t56 () (and @t55 @t48 @t28)) % 127.25/129.28 (define @t57 () (not @t56)) % 127.25/129.28 (define @t58 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t59 () (not (tptp.p1 @t58))) % 127.25/129.28 (define @t60 () (forall @t10 (or (not (tptp.r1 @t58 @t3)) @t8))) % 127.25/129.28 (define @t61 () (not (tptp.r1 @t3 @t58))) % 127.25/129.28 (define @t62 () (or @t61 @t60 @t59)) % 127.25/129.28 (define @t63 () (@list @t58)) % 127.25/129.28 (define @t64 () (forall @t63 @t62)) % 127.25/129.28 (define @t65 () (not @t64)) % 127.25/129.28 (define @t66 () (or @t9 @t8 @t65)) % 127.25/129.28 (define @t67 () (forall @t10 @t66)) % 127.25/129.28 (define @t68 () (not @t67)) % 127.25/129.28 (define @t69 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t70 () (tptp.p1 @t69)) % 127.25/129.28 (define @t71 () (@list @t69)) % 127.25/129.28 (define @t72 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t73 () (forall @t10 (or (not (tptp.r1 @t72 @t3)) (forall @t71 (or (not (tptp.r1 @t3 @t69)) @t70)) @t34))) % 127.25/129.28 (define @t74 () (not @t73)) % 127.25/129.28 (define @t75 () (tptp.p1 @t72)) % 127.25/129.28 (define @t76 () (not (tptp.r1 @t3 @t72))) % 127.25/129.28 (define @t77 () (or @t76 @t75 @t74)) % 127.25/129.28 (define @t78 () (@list @t72)) % 127.25/129.28 (define @t79 () (forall @t78 @t77)) % 127.25/129.28 (define @t80 () (or @t9 @t79)) % 127.25/129.28 (define @t81 () (forall @t10 @t80)) % 127.25/129.28 (define @t82 () (or @t81 @t68)) % 127.25/129.28 (define @t83 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t84 () (tptp.p1 @t83)) % 127.25/129.28 (define @t85 () (@list @t83)) % 127.25/129.28 (define @t86 () (not (forall @t85 (or (not (tptp.r1 @t3 @t83)) @t84)))) % 127.25/129.28 (define @t87 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t88 () (forall @t10 (or (not (tptp.r1 @t87 @t3)) @t8))) % 127.25/129.28 (define @t89 () (not (tptp.r1 @t3 @t87))) % 127.25/129.28 (define @t90 () (or @t89 @t88)) % 127.25/129.28 (define @t91 () (@list @t87)) % 127.25/129.28 (define @t92 () (forall @t91 @t90)) % 127.25/129.28 (define @t93 () (or @t9 @t92 @t86)) % 127.25/129.28 (define @t94 () (forall @t10 @t93)) % 127.25/129.28 (define @t95 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t96 () (not (tptp.p1 @t95))) % 127.25/129.28 (define @t97 () (forall @t10 (or (not (tptp.r1 @t95 @t3)) @t8))) % 127.25/129.28 (define @t98 () (not (tptp.r1 @t3 @t95))) % 127.25/129.28 (define @t99 () (or @t98 @t97 @t96)) % 127.25/129.28 (define @t100 () (@list @t95)) % 127.25/129.28 (define @t101 () (forall @t100 @t99)) % 127.25/129.28 (define @t102 () (not @t101)) % 127.25/129.28 (define @t103 () (or @t9 @t8 @t102)) % 127.25/129.28 (define @t104 () (forall @t10 @t103)) % 127.25/129.28 (define @t105 () (not @t104)) % 127.25/129.28 (define @t106 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t107 () (tptp.p1 @t106)) % 127.25/129.28 (define @t108 () (@list @t106)) % 127.25/129.28 (define @t109 () (forall @t10 (or @t9 (not (forall @t108 (or (not (tptp.r1 @t3 @t106)) @t107)))))) % 127.25/129.28 (define @t110 () (or @t2 @t109 @t105)) % 127.25/129.28 (define @t111 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t112 () (tptp.p1 @t111)) % 127.25/129.28 (define @t113 () (not @t112)) % 127.25/129.28 (define @t114 () (not (tptp.r1 @t111 @t3))) % 127.25/129.28 (define @t115 () (forall @t10 (or @t114 @t8))) % 127.25/129.28 (define @t116 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t117 () (tptp.p1 @t116)) % 127.25/129.28 (define @t118 () (@list @t116)) % 127.25/129.28 (define @t119 () (forall @t10 (or @t114 (forall @t118 (or (not (tptp.r1 @t3 @t116)) @t117)) @t34))) % 127.25/129.28 (define @t120 () (not (tptp.r1 @t3 @t111))) % 127.25/129.28 (define @t121 () (or @t120 @t119 (not (or @t115 @t113)))) % 127.25/129.28 (define @t122 () (@list @t111)) % 127.25/129.28 (define @t123 () (forall @t122 @t121)) % 127.25/129.28 (define @t124 () (not @t123)) % 127.25/129.28 (define @t125 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t126 () (tptp.p1 @t125)) % 127.25/129.28 (define @t127 () (@list @t125)) % 127.25/129.28 (define @t128 () (forall @t127 (or (not (tptp.r1 @t3 @t125)) @t126))) % 127.25/129.28 (define @t129 () (or @t9 @t128 @t34 @t124)) % 127.25/129.28 (define @t130 () (forall @t10 @t129)) % 127.25/129.28 (define @t131 () (not @t130)) % 127.25/129.28 (define @t132 () (@var "Y" $$unsorted)) % 127.25/129.28 (define @t133 () (not (tptp.p1 @t132))) % 127.25/129.28 (define @t134 () (forall @t10 (or (not (tptp.r1 @t132 @t3)) @t8))) % 127.25/129.28 (define @t135 () (not (tptp.r1 @t3 @t132))) % 127.25/129.28 (define @t136 () (or @t135 @t134 @t133)) % 127.25/129.28 (define @t137 () (@list @t132)) % 127.25/129.28 (define @t138 () (forall @t137 @t136)) % 127.25/129.28 (define @t139 () (not @t138)) % 127.25/129.28 (define @t140 () (or @t9 @t139)) % 127.25/129.28 (define @t141 () (forall @t10 @t140)) % 127.25/129.28 (define @t142 () (or @t11 @t16 @t141 @t131)) % 127.25/129.28 (define @t143 () (and @t142 @t110 @t94 @t82)) % 127.25/129.28 (define @t144 () (or @t4 @t143)) % 127.25/129.28 (define @t145 () (forall @t5 @t144)) % 127.25/129.28 (define @t146 () (or @t9 @t145)) % 127.25/129.28 (define @t147 () (forall @t10 @t146)) % 127.25/129.28 (define @t148 () (or @t4 @t147)) % 127.25/129.28 (define @t149 () (forall @t5 @t148)) % 127.25/129.28 (define @t150 () (not @t149)) % 127.25/129.28 (define @t151 () (or @t9 @t48)) % 127.25/129.28 (define @t152 () (forall @t10 @t151)) % 127.25/129.28 (define @t153 () (or @t4 @t152)) % 127.25/129.28 (define @t154 () (forall @t5 @t153)) % 127.25/129.28 (define @t155 () (not @t154)) % 127.25/129.28 (define @t156 () (or @t155 @t150 @t57)) % 127.25/129.28 (define @t157 () (not @t156)) % 127.25/129.28 (define @t158 () (exists @t10 @t157)) % 127.25/129.28 (define @t159 () (@var "BOUND_VARIABLE_8247" $$unsorted)) % 127.25/129.28 (define @t160 () (tptp.p1 @t159)) % 127.25/129.28 (define @t161 () (@var "BOUND_VARIABLE_8301" $$unsorted)) % 127.25/129.28 (define @t162 () (@list @t159)) % 127.25/129.28 (define @t163 () (@var "BOUND_VARIABLE_8232" $$unsorted)) % 127.25/129.28 (define @t164 () (tptp.p1 @t163)) % 127.25/129.28 (define @t165 () (@var "BOUND_VARIABLE_8256" $$unsorted)) % 127.25/129.28 (define @t166 () (@list @t163)) % 127.25/129.28 (define @t167 () (forall @t166 (or (not (tptp.r1 @t165 @t163)) @t164))) % 127.25/129.28 (define @t168 () (@list @t165)) % 127.25/129.28 (define @t169 () (@var "BOUND_VARIABLE_8269" $$unsorted)) % 127.25/129.28 (define @t170 () (not (tptp.p1 @t169))) % 127.25/129.28 (define @t171 () (@var "BOUND_VARIABLE_8118" $$unsorted)) % 127.25/129.28 (define @t172 () (tptp.p1 @t171)) % 127.25/129.28 (define @t173 () (@list @t171)) % 127.25/129.28 (define @t174 () (forall @t173 (or (not (tptp.r1 @t169 @t171)) @t172))) % 127.25/129.28 (define @t175 () (@var "BOUND_VARIABLE_8317" $$unsorted)) % 127.25/129.28 (define @t176 () (@list @t169)) % 127.25/129.28 (define @t177 () (not (forall @t176 (or (not (tptp.r1 @t175 @t169)) @t174 @t170)))) % 127.25/129.28 (define @t178 () (tptp.p1 @t175)) % 127.25/129.28 (define @t179 () (@list @t175)) % 127.25/129.28 (define @t180 () (@var "BOUND_VARIABLE_8331" $$unsorted)) % 127.25/129.28 (define @t181 () (and (or @t2 (forall (@list @t180) (or (not (tptp.r1 @t1 @t180)) (not (forall @t162 (or (not (tptp.r1 @t180 @t159)) @t160))))) (not (forall @t179 (or (not (tptp.r1 @t1 @t175)) @t178 @t177)))) (forall (@list @t161) (or (not (tptp.r1 @t1 @t161)) (forall @t168 (or (not (tptp.r1 @t161 @t165)) @t167)) (not (forall @t162 (or (not (tptp.r1 @t161 @t159)) @t160))))))) % 127.25/129.28 (define @t182 () (forall @t5 (or @t4 @t181))) % 127.25/129.28 (define @t183 () (not @t182)) % 127.25/129.28 (define @t184 () (@var "BOUND_VARIABLE_7692" $$unsorted)) % 127.25/129.28 (define @t185 () (tptp.p1 @t184)) % 127.25/129.28 (define @t186 () (@var "BOUND_VARIABLE_7739" $$unsorted)) % 127.25/129.28 (define @t187 () (@list @t184)) % 127.25/129.28 (define @t188 () (not (forall @t187 (or (not (tptp.r1 @t186 @t184)) @t185)))) % 127.25/129.28 (define @t189 () (@var "BOUND_VARIABLE_7677" $$unsorted)) % 127.25/129.28 (define @t190 () (tptp.p1 @t189)) % 127.25/129.28 (define @t191 () (@var "BOUND_VARIABLE_7701" $$unsorted)) % 127.25/129.28 (define @t192 () (@list @t189)) % 127.25/129.28 (define @t193 () (forall @t192 (or (not (tptp.r1 @t191 @t189)) @t190))) % 127.25/129.28 (define @t194 () (@list @t191)) % 127.25/129.28 (define @t195 () (forall @t194 (or (not (tptp.r1 @t186 @t191)) @t193))) % 127.25/129.28 (define @t196 () (@var "BOUND_VARIABLE_8347" $$unsorted)) % 127.25/129.28 (define @t197 () (@list @t186)) % 127.25/129.28 (define @t198 () (@var "BOUND_VARIABLE_7714" $$unsorted)) % 127.25/129.28 (define @t199 () (not (tptp.p1 @t198))) % 127.25/129.28 (define @t200 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 127.25/129.28 (define @t201 () (tptp.p1 @t200)) % 127.25/129.28 (define @t202 () (@list @t200)) % 127.25/129.28 (define @t203 () (forall @t202 (or (not (tptp.r1 @t198 @t200)) @t201))) % 127.25/129.28 (define @t204 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 127.25/129.28 (define @t205 () (@list @t198)) % 127.25/129.28 (define @t206 () (not (forall @t205 (or (not (tptp.r1 @t204 @t198)) @t203 @t199)))) % 127.25/129.28 (define @t207 () (tptp.p1 @t204)) % 127.25/129.28 (define @t208 () (@list @t204)) % 127.25/129.28 (define @t209 () (@var "BOUND_VARIABLE_7769" $$unsorted)) % 127.25/129.28 (define @t210 () (not (forall @t187 (or (not (tptp.r1 @t209 @t184)) @t185)))) % 127.25/129.28 (define @t211 () (@list @t209)) % 127.25/129.28 (define @t212 () (forall (@list @t196) (or (not (tptp.r1 @t1 @t196)) (and (or (tptp.p1 @t196) (forall @t211 (or (not (tptp.r1 @t196 @t209)) @t210)) (not (forall @t208 (or (not (tptp.r1 @t196 @t204)) @t207 @t206)))) (forall @t197 (or (not (tptp.r1 @t196 @t186)) @t195 @t188)))))) % 127.25/129.28 (define @t213 () (forall @t5 (or @t4 @t212))) % 127.25/129.28 (define @t214 () (not @t213)) % 127.25/129.28 (define @t215 () (@var "BOUND_VARIABLE_8134" $$unsorted)) % 127.25/129.28 (define @t216 () (not (tptp.p1 @t215))) % 127.25/129.28 (define @t217 () (forall @t173 (or (not (tptp.r1 @t215 @t171)) @t172))) % 127.25/129.28 (define @t218 () (@var "BOUND_VARIABLE_8166" $$unsorted)) % 127.25/129.28 (define @t219 () (@list @t215)) % 127.25/129.28 (define @t220 () (not (forall @t219 (or (not (tptp.r1 @t218 @t215)) @t217 @t216)))) % 127.25/129.28 (define @t221 () (tptp.p1 @t218)) % 127.25/129.28 (define @t222 () (@var "BOUND_VARIABLE_8206" $$unsorted)) % 127.25/129.28 (define @t223 () (@list @t218)) % 127.25/129.28 (define @t224 () (not (forall @t223 (or (not (tptp.r1 @t222 @t218)) @t221 @t220)))) % 127.25/129.28 (define @t225 () (@var "BOUND_VARIABLE_8151" $$unsorted)) % 127.25/129.28 (define @t226 () (tptp.p1 @t225)) % 127.25/129.28 (define @t227 () (@var "BOUND_VARIABLE_8180" $$unsorted)) % 127.25/129.28 (define @t228 () (@list @t225)) % 127.25/129.28 (define @t229 () (not (forall @t228 (or (not (tptp.r1 @t227 @t225)) @t226)))) % 127.25/129.28 (define @t230 () (@list @t227)) % 127.25/129.28 (define @t231 () (forall @t230 (or (not (tptp.r1 @t222 @t227)) @t229))) % 127.25/129.28 (define @t232 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 127.25/129.28 (define @t233 () (tptp.p1 @t232)) % 127.25/129.28 (define @t234 () (@list @t232)) % 127.25/129.28 (define @t235 () (forall @t234 (or (not (tptp.r1 @t222 @t232)) @t233))) % 127.25/129.28 (define @t236 () (@var "BOUND_VARIABLE_8372" $$unsorted)) % 127.25/129.28 (define @t237 () (@list @t222)) % 127.25/129.28 (define @t238 () (forall @t237 (or (not (tptp.r1 @t236 @t222)) @t235 @t231 @t224))) % 127.25/129.29 (define @t239 () (@list @t236)) % 127.25/129.29 (define @t240 () (forall @t239 (or (not (tptp.r1 @t1 @t236)) @t238))) % 127.25/129.29 (define @t241 () (forall @t5 (or @t4 @t240))) % 127.25/129.29 (define @t242 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 127.25/129.29 (define @t243 () (forall (@list @t242) (or (not (tptp.r1 @t58 @t242)) (tptp.p1 @t242)))) % 127.25/129.29 (define @t244 () (@var "BOUND_VARIABLE_7949" $$unsorted)) % 127.25/129.29 (define @t245 () (not (forall @t63 (or (not (tptp.r1 @t244 @t58)) @t243 @t59)))) % 127.25/129.29 (define @t246 () (tptp.p1 @t244)) % 127.25/129.29 (define @t247 () (@var "BOUND_VARIABLE_8065" $$unsorted)) % 127.25/129.29 (define @t248 () (@list @t244)) % 127.25/129.29 (define @t249 () (@var "BOUND_VARIABLE_7911" $$unsorted)) % 127.25/129.29 (define @t250 () (not (forall (@list @t249) (or (not (tptp.r1 @t72 @t249)) (forall @t71 (or (not (tptp.r1 @t249 @t69)) @t70)) (not (tptp.p1 @t249)))))) % 127.25/129.29 (define @t251 () (@var "BOUND_VARIABLE_7963" $$unsorted)) % 127.25/129.29 (define @t252 () (forall @t78 (or (not (tptp.r1 @t251 @t72)) @t75 @t250))) % 127.25/129.29 (define @t253 () (@list @t251)) % 127.25/129.29 (define @t254 () (@var "BOUND_VARIABLE_7975" $$unsorted)) % 127.25/129.29 (define @t255 () (not (forall @t85 (or (not (tptp.r1 @t254 @t83)) @t84)))) % 127.25/129.29 (define @t256 () (@var "BOUND_VARIABLE_7899" $$unsorted)) % 127.25/129.29 (define @t257 () (tptp.p1 @t256)) % 127.25/129.29 (define @t258 () (@list @t256)) % 127.25/129.29 (define @t259 () (forall @t258 (or (not (tptp.r1 @t87 @t256)) @t257))) % 127.25/129.29 (define @t260 () (forall @t91 (or (not (tptp.r1 @t254 @t87)) @t259))) % 127.25/129.29 (define @t261 () (@list @t254)) % 127.25/129.29 (define @t262 () (@var "BOUND_VARIABLE_7884" $$unsorted)) % 127.25/129.29 (define @t263 () (forall (@list @t262) (or (not (tptp.r1 @t95 @t262)) (tptp.p1 @t262)))) % 127.25/129.29 (define @t264 () (@var "BOUND_VARIABLE_7991" $$unsorted)) % 127.25/129.29 (define @t265 () (not (forall @t100 (or (not (tptp.r1 @t264 @t95)) @t263 @t96)))) % 127.25/129.29 (define @t266 () (tptp.p1 @t264)) % 127.25/129.29 (define @t267 () (@list @t264)) % 127.25/129.29 (define @t268 () (@var "BOUND_VARIABLE_8005" $$unsorted)) % 127.25/129.29 (define @t269 () (not (forall @t108 (or (not (tptp.r1 @t268 @t106)) @t107)))) % 127.25/129.29 (define @t270 () (@list @t268)) % 127.25/129.29 (define @t271 () (tptp.p1 @t247)) % 127.25/129.29 (define @t272 () (@var "BOUND_VARIABLE_7854" $$unsorted)) % 127.25/129.29 (define @t273 () (tptp.p1 @t272)) % 127.25/129.29 (define @t274 () (@list @t272)) % 127.25/129.29 (define @t275 () (and (not (forall @t274 (or (not (tptp.r1 @t111 @t272)) @t273))) @t112)) % 127.25/129.29 (define @t276 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 127.25/129.29 (define @t277 () (not (tptp.p1 @t276))) % 127.25/129.29 (define @t278 () (forall @t118 (or (not (tptp.r1 @t276 @t116)) @t117))) % 127.25/129.29 (define @t279 () (@list @t276)) % 127.25/129.29 (define @t280 () (forall @t279 (or (not (tptp.r1 @t111 @t276)) @t278 @t277))) % 127.25/129.29 (define @t281 () (@var "BOUND_VARIABLE_8018" $$unsorted)) % 127.25/129.29 (define @t282 () (not (forall @t122 (or (not (tptp.r1 @t281 @t111)) @t280 @t275)))) % 127.25/129.29 (define @t283 () (not (tptp.p1 @t281))) % 127.25/129.29 (define @t284 () (forall @t127 (or (not (tptp.r1 @t281 @t125)) @t126))) % 127.25/129.29 (define @t285 () (@list @t281)) % 127.25/129.29 (define @t286 () (@var "BOUND_VARIABLE_7834" $$unsorted)) % 127.25/129.29 (define @t287 () (forall (@list @t286) (or (not (tptp.r1 @t132 @t286)) (tptp.p1 @t286)))) % 127.25/129.29 (define @t288 () (@var "BOUND_VARIABLE_8037" $$unsorted)) % 127.25/129.29 (define @t289 () (not (forall @t137 (or (not (tptp.r1 @t288 @t132)) @t287 @t133)))) % 127.25/129.29 (define @t290 () (@list @t288)) % 127.25/129.29 (define @t291 () (@var "BOUND_VARIABLE_8049" $$unsorted)) % 127.25/129.29 (define @t292 () (tptp.p1 @t291)) % 127.25/129.29 (define @t293 () (@list @t291)) % 127.25/129.29 (define @t294 () (and (or (forall @t293 (or (not (tptp.r1 @t247 @t291)) @t292)) (not @t271) (forall @t290 (or (not (tptp.r1 @t247 @t288)) @t289)) (not (forall @t285 (or (not (tptp.r1 @t247 @t281)) @t284 @t283 @t282)))) (or @t271 (forall @t270 (or (not (tptp.r1 @t247 @t268)) @t269)) (not (forall @t267 (or (not (tptp.r1 @t247 @t264)) @t266 @t265)))) (forall @t261 (or (not (tptp.r1 @t247 @t254)) @t260 @t255)) (or (forall @t253 (or (not (tptp.r1 @t247 @t251)) @t252)) (not (forall @t248 (or (not (tptp.r1 @t247 @t244)) @t246 @t245)))))) % 127.25/129.29 (define @t295 () (@var "BOUND_VARIABLE_8388" $$unsorted)) % 127.25/129.29 (define @t296 () (@list @t247)) % 127.25/129.29 (define @t297 () (forall @t296 (or (not (tptp.r1 @t295 @t247)) @t294))) % 127.25/129.29 (define @t298 () (@list @t295)) % 127.25/129.29 (define @t299 () (forall @t298 (or (not (tptp.r1 @t1 @t295)) @t297))) % 127.25/129.29 (define @t300 () (not (forall @t5 (or @t4 @t299)))) % 127.25/129.29 (define @t301 () (@var "BOUND_VARIABLE_7789" $$unsorted)) % 127.25/129.29 (define @t302 () (and (or (tptp.p1 @t301) (forall @t211 (or (not (tptp.r1 @t301 @t209)) @t210)) (not (forall @t208 (or (not (tptp.r1 @t301 @t204)) @t207 @t206)))) (forall @t197 (or (not (tptp.r1 @t301 @t186)) @t195 @t188)))) % 127.25/129.29 (define @t303 () (@var "BOUND_VARIABLE_7818" $$unsorted)) % 127.25/129.29 (define @t304 () (@list @t301)) % 127.25/129.29 (define @t305 () (forall @t304 (or (not (tptp.r1 @t303 @t301)) @t302))) % 127.25/129.29 (define @t306 () (@var "BOUND_VARIABLE_8402" $$unsorted)) % 127.25/129.29 (define @t307 () (@list @t303)) % 127.25/129.29 (define @t308 () (forall (@list @t306) (or (not (tptp.r1 @t1 @t306)) (forall @t307 (or (not (tptp.r1 @t306 @t303)) @t305))))) % 127.25/129.29 (define @t309 () (not (forall @t5 (or @t4 @t308)))) % 127.25/129.29 (define @t310 () (or @t309 @t300 @t241 @t214 @t183)) % 127.25/129.29 (define @t311 () (not @t241)) % 127.25/129.29 (define @t312 () (not @t311)) % 127.25/129.29 (define @t313 () (or @t312 @t214 @t183)) % 127.25/129.29 (define @t314 () (or @t309 @t300 (not (and @t311 @t213 @t182)))) % 127.25/129.29 (define @t315 () (not (forall @t162 (or (not (tptp.r1 @t3 @t159)) @t160)))) % 127.25/129.29 (define @t316 () (forall @t10 (or @t9 (forall @t168 (or (not (tptp.r1 @t3 @t165)) @t167)) @t315))) % 127.25/129.29 (define @t317 () (@list @t3)) % 127.25/129.29 (define @t318 () (forall @t10 (or @t9 @t8 (not (forall @t176 (or (not (tptp.r1 @t3 @t169)) @t174 @t170)))))) % 127.25/129.29 (define @t319 () (not @t318)) % 127.25/129.29 (define @t320 () (forall @t10 (or @t9 @t315))) % 127.25/129.29 (define @t321 () (or @t2 @t320 @t319)) % 127.25/129.29 (define @t322 () (and @t321 @t316)) % 127.25/129.29 (define @t323 () (or @t4 @t322)) % 127.25/129.29 (define @t324 () (forall @t5 @t323)) % 127.25/129.29 (define @t325 () (forall @t10 (or @t9 (and (or @t8 (forall @t211 (or (not (tptp.r1 @t3 @t209)) @t210)) (not (forall @t208 (or (not (tptp.r1 @t3 @t204)) @t207 @t206)))) (forall @t197 (or (not (tptp.r1 @t3 @t186)) @t195 @t188)))))) % 127.25/129.29 (define @t326 () (or @t4 @t325)) % 127.25/129.29 (define @t327 () (forall @t5 @t326)) % 127.25/129.29 (define @t328 () (forall @t10 (or @t9 (forall @t237 (or (not (tptp.r1 @t3 @t222)) @t235 @t231 @t224))))) % 127.25/129.29 (define @t329 () (or @t4 @t328)) % 127.25/129.29 (define @t330 () (forall @t5 @t329)) % 127.25/129.29 (define @t331 () (not @t330)) % 127.25/129.29 (define @t332 () (and @t331 @t327 @t324)) % 127.25/129.29 (define @t333 () (not @t332)) % 127.25/129.29 (define @t334 () (forall @t10 (or @t9 (forall @t296 (or (not (tptp.r1 @t3 @t247)) @t294))))) % 127.25/129.29 (define @t335 () (or @t4 @t334)) % 127.25/129.29 (define @t336 () (forall @t5 @t335)) % 127.25/129.29 (define @t337 () (not @t336)) % 127.25/129.29 (define @t338 () (forall @t10 (or @t9 (forall @t307 (or (not (tptp.r1 @t3 @t303)) @t305))))) % 127.25/129.29 (define @t339 () (or @t4 @t338)) % 127.25/129.29 (define @t340 () (forall @t5 @t339)) % 127.25/129.29 (define @t341 () (not @t340)) % 127.25/129.29 (define @t342 () (or @t341 @t337 @t333)) % 127.25/129.29 (define @t343 () (not @t342)) % 127.25/129.29 (define @t344 () (forall @t10 (not @t343))) % 127.25/129.29 (define @t345 () (not @t344)) % 127.25/129.29 (define @t346 () (@list @t1)) % 127.25/129.29 (define @t347 () (forall @t5 (or @t4 (forall @t166 (or (not (tptp.r1 @t1 @t163)) @t164))))) % 127.25/129.29 (define @t348 () (or @t9 @t347 @t7)) % 127.25/129.29 (define @t349 () (forall @t10 @t348)) % 127.25/129.29 (define @t350 () (forall @t5 (or @t4 (forall @t173 (or (not (tptp.r1 @t1 @t171)) @t172)) @t16))) % 127.25/129.29 (define @t351 () (not @t350)) % 127.25/129.29 (define @t352 () (or @t9 @t8 @t351)) % 127.25/129.29 (define @t353 () (forall @t10 @t352)) % 127.25/129.29 (define @t354 () (not @t353)) % 127.25/129.29 (define @t355 () (or @t2 @t24 @t354)) % 127.25/129.29 (define @t356 () (and @t355 @t349)) % 127.25/129.29 (define @t357 () (or @t4 @t356)) % 127.25/129.29 (define @t358 () (@list @t171)) % 127.25/129.29 (define @t359 () (not (forall @t187 (or (not (tptp.r1 @t1 @t184)) @t185)))) % 127.25/129.29 (define @t360 () (forall @t5 (or @t4 (forall @t194 (or (not (tptp.r1 @t1 @t191)) @t193)) @t359))) % 127.25/129.29 (define @t361 () (forall @t5 (or @t4 @t2 (not (forall @t205 (or (not (tptp.r1 @t1 @t198)) @t203 @t199)))))) % 127.25/129.29 (define @t362 () (not @t361)) % 127.25/129.29 (define @t363 () (forall @t5 (or @t4 @t359))) % 127.25/129.29 (define @t364 () (or @t8 @t363 @t362)) % 127.25/129.29 (define @t365 () (and @t364 @t360)) % 127.25/129.29 (define @t366 () (or @t9 @t365)) % 127.25/129.29 (define @t367 () (forall @t10 @t366)) % 127.25/129.29 (define @t368 () (or @t4 @t367)) % 127.25/129.29 (define @t369 () (forall @t10 (or @t9 (forall @t192 (or (not (tptp.r1 @t3 @t189)) @t190))))) % 127.25/129.29 (define @t370 () (or @t4 @t369 @t29)) % 127.25/129.29 (define @t371 () (forall @t5 @t370)) % 127.25/129.29 (define @t372 () (forall @t10 (or @t9 (forall @t202 (or (not (tptp.r1 @t3 @t200)) @t201)) @t34))) % 127.25/129.29 (define @t373 () (not @t372)) % 127.25/129.29 (define @t374 () (or @t4 @t2 @t373)) % 127.25/129.29 (define @t375 () (forall @t5 @t374)) % 127.25/129.29 (define @t376 () (not @t375)) % 127.25/129.29 (define @t377 () (or @t8 @t42 @t376)) % 127.25/129.29 (define @t378 () (and @t377 @t371)) % 127.25/129.29 (define @t379 () (or @t9 @t378)) % 127.25/129.29 (define @t380 () (forall @t5 (or @t4 (forall @t234 (or (not (tptp.r1 @t1 @t232)) @t233)) (forall @t230 (or (not (tptp.r1 @t1 @t227)) @t229)) (not (forall @t223 (or (not (tptp.r1 @t1 @t218)) @t221 @t220)))))) % 127.25/129.29 (define @t381 () (or @t9 @t380)) % 127.25/129.29 (define @t382 () (forall @t10 @t381)) % 127.25/129.29 (define @t383 () (or @t4 @t382)) % 127.25/129.29 (define @t384 () (forall @t10 (or @t9 @t8 (not (forall @t219 (or (not (tptp.r1 @t3 @t215)) @t217 @t216)))))) % 127.25/129.29 (define @t385 () (not @t384)) % 127.25/129.29 (define @t386 () (forall @t10 (or @t9 (not (forall @t228 (or (not (tptp.r1 @t3 @t225)) @t226)))))) % 127.25/129.29 (define @t387 () (@list @t232)) % 127.25/129.29 (define @t388 () (or @t4 @t11 @t386 @t385)) % 127.25/129.29 (define @t389 () (forall @t5 @t388)) % 127.25/129.29 (define @t390 () (or @t9 @t389)) % 127.25/129.29 (define @t391 () (@list @t225)) % 127.25/129.29 (define @t392 () (or @t4 @t11 @t24 @t354)) % 127.25/129.29 (define @t393 () (forall @t5 (or @t4 (and (or (forall @t293 (or (not (tptp.r1 @t1 @t291)) @t292)) @t16 (forall @t290 (or (not (tptp.r1 @t1 @t288)) @t289)) (not (forall @t285 (or (not (tptp.r1 @t1 @t281)) @t284 @t283 @t282)))) (or @t2 (forall @t270 (or (not (tptp.r1 @t1 @t268)) @t269)) (not (forall @t267 (or (not (tptp.r1 @t1 @t264)) @t266 @t265)))) (forall @t261 (or (not (tptp.r1 @t1 @t254)) @t260 @t255)) (or (forall @t253 (or (not (tptp.r1 @t1 @t251)) @t252)) (not (forall @t248 (or (not (tptp.r1 @t1 @t244)) @t246 @t245)))))))) % 127.25/129.29 (define @t394 () (or @t9 @t393)) % 127.25/129.29 (define @t395 () (forall @t10 @t394)) % 127.25/129.29 (define @t396 () (or @t4 @t395)) % 127.25/129.29 (define @t397 () (forall @t10 (or @t9 @t8 (not (forall @t63 (or @t61 @t243 @t59)))))) % 127.25/129.29 (define @t398 () (not @t397)) % 127.25/129.29 (define @t399 () (forall @t10 (or @t9 (forall @t78 (or @t76 @t75 @t250))))) % 127.25/129.29 (define @t400 () (or @t399 @t398)) % 127.25/129.29 (define @t401 () (forall @t10 (or @t9 (forall @t91 (or @t89 @t259)) @t86))) % 127.25/129.29 (define @t402 () (forall @t10 (or @t9 @t8 (not (forall @t100 (or @t98 @t263 @t96)))))) % 127.25/129.29 (define @t403 () (not @t402)) % 127.25/129.29 (define @t404 () (or @t2 @t109 @t403)) % 127.25/129.29 (define @t405 () (forall @t10 (or @t9 @t128 @t34 (not (forall @t122 (or @t120 @t280 @t275)))))) % 127.25/129.29 (define @t406 () (not @t405)) % 127.25/129.29 (define @t407 () (forall @t10 (or @t9 (not (forall @t137 (or @t135 @t287 @t133)))))) % 127.25/129.29 (define @t408 () (@list @t291)) % 127.25/129.29 (define @t409 () (or @t11 @t16 @t407 @t406)) % 127.25/129.29 (define @t410 () (and @t409 @t404 @t401 @t400)) % 127.25/129.29 (define @t411 () (or @t4 @t410)) % 127.25/129.29 (define @t412 () (forall @t5 @t411)) % 127.25/129.29 (define @t413 () (or @t9 @t412)) % 127.25/129.29 (define @t414 () (@list @t256)) % 127.25/129.29 (define @t415 () (not @t115)) % 127.25/129.29 (define @t416 () (and @t415 @t112)) % 127.25/129.29 (define @t417 () (or @t120 @t119 @t416)) % 127.25/129.29 (define @t418 () (forall @t122 @t417)) % 127.25/129.29 (define @t419 () (not @t418)) % 127.25/129.29 (define @t420 () (or @t9 @t128 @t34 @t419)) % 127.25/129.29 (define @t421 () (forall @t5 (or @t4 (forall @t304 (or (not (tptp.r1 @t1 @t301)) @t302))))) % 127.25/129.29 (define @t422 () (or @t9 @t421)) % 127.25/129.29 (define @t423 () (forall @t10 @t422)) % 127.25/129.29 (define @t424 () (or @t4 @t423)) % 127.25/129.29 (define @t425 () (or @t9 @t327)) % 127.25/129.29 (define @t426 () (@quantifiers_skolemize (forall @t10 @t310) 0)) % 127.25/129.29 (define @t427 () (not (tptp.r1 @t426 @t1))) % 127.25/129.29 (define @t428 () (forall @t5 (or @t427 @t299))) % 127.25/129.29 (define @t429 () (forall @t5 (or @t427 @t240))) % 127.25/129.29 (define @t430 () (not @t428)) % 127.25/129.29 (define @t431 () (or (not (forall @t5 (or @t427 @t308))) @t430 @t429 (not (forall @t5 (or @t427 @t212))) (not (forall @t5 (or @t427 @t181))))) % 127.25/129.29 (define @t432 () (@list true)) % 127.25/129.29 (define @t433 () (@list @t431)) % 127.25/129.29 (define @t434 () (@quantifiers_skolemize @t429 0)) % 127.25/129.29 (define @t435 () (tptp.r1 @t426 @t434)) % 127.25/129.29 (define @t436 () (forall @t239 (or (not (tptp.r1 @t434 @t236)) @t238))) % 127.25/129.29 (define @t437 () (not @t435)) % 127.25/129.29 (define @t438 () (or @t437 @t436)) % 127.25/129.29 (define @t439 () (@list @t438)) % 127.25/129.29 (define @t440 () (forall @t298 (or (not (tptp.r1 @t434 @t295)) @t297))) % 127.25/129.29 (define @t441 () (or @t437 @t440)) % 127.25/129.29 (define @t442 () (@list false false)) % 127.25/129.29 (define @t443 () (@quantifiers_skolemize @t436 0)) % 127.25/129.29 (define @t444 () (tptp.r1 @t434 @t443)) % 127.25/129.29 (define @t445 () (forall @t237 (or (not (tptp.r1 @t443 @t222)) @t235 @t231 @t224))) % 127.25/129.29 (define @t446 () (not @t444)) % 127.25/129.29 (define @t447 () (or @t446 @t445)) % 127.25/129.29 (define @t448 () (@list @t447)) % 127.25/129.29 (define @t449 () (forall @t296 (or (not (tptp.r1 @t443 @t247)) @t294))) % 127.25/129.29 (define @t450 () (or @t446 @t449)) % 127.25/129.29 (define @t451 () (@quantifiers_skolemize @t445 0)) % 127.25/129.29 (define @t452 () (tptp.r1 @t443 @t451)) % 127.25/129.29 (define @t453 () (forall @t223 (or (not (tptp.r1 @t451 @t218)) @t221 @t220))) % 127.25/129.29 (define @t454 () (not @t453)) % 127.25/129.29 (define @t455 () (forall @t230 (or (not (tptp.r1 @t451 @t227)) @t229))) % 127.25/129.29 (define @t456 () (forall @t234 (or (not (tptp.r1 @t451 @t232)) @t233))) % 127.25/129.29 (define @t457 () (not @t452)) % 127.25/129.29 (define @t458 () (or @t457 @t456 @t455 @t454)) % 127.25/129.29 (define @t459 () (@list @t458)) % 127.25/129.29 (define @t460 () (forall @t248 (or (not (tptp.r1 @t451 @t244)) @t246 @t245))) % 127.25/129.29 (define @t461 () (not @t460)) % 127.25/129.29 (define @t462 () (forall @t253 (or (not (tptp.r1 @t451 @t251)) @t252))) % 127.25/129.29 (define @t463 () (or @t462 @t461)) % 127.25/129.29 (define @t464 () (forall @t261 (or (not (tptp.r1 @t451 @t254)) @t260 @t255))) % 127.25/129.29 (define @t465 () (forall @t267 (or (not (tptp.r1 @t451 @t264)) @t266 @t265))) % 127.25/129.29 (define @t466 () (not @t465)) % 127.25/129.29 (define @t467 () (forall @t270 (or (not (tptp.r1 @t451 @t268)) @t269))) % 127.25/129.29 (define @t468 () (tptp.p1 @t451)) % 127.25/129.29 (define @t469 () (or @t468 @t467 @t466)) % 127.25/129.29 (define @t470 () (forall @t285 (or (not (tptp.r1 @t451 @t281)) @t284 @t283 @t282))) % 127.25/129.29 (define @t471 () (not @t470)) % 127.25/129.29 (define @t472 () (forall @t290 (or (not (tptp.r1 @t451 @t288)) @t289))) % 127.25/129.29 (define @t473 () (not @t468)) % 127.25/129.29 (define @t474 () (forall @t293 (or (not (tptp.r1 @t451 @t291)) @t292))) % 127.25/129.29 (define @t475 () (or @t474 @t473 @t472 @t471)) % 127.25/129.29 (define @t476 () (and @t475 @t469 @t464 @t463)) % 127.25/129.29 (define @t477 () (or @t457 @t476)) % 127.25/129.29 (define @t478 () (not @t476)) % 127.25/129.29 (define @t479 () (@list false)) % 127.25/129.29 (define @t480 () (@list @t476)) % 127.25/129.29 (define @t481 () (@list @t215 @t171 @t218)) % 127.25/129.29 (define @t482 () (@list @t453)) % 127.25/129.29 (define @t483 () (@quantifiers_skolemize @t470 0)) % 127.25/129.29 (define @t484 () (@quantifiers_skolemize @t455 0)) % 127.25/129.29 (define @t485 () (forall @t219 (or (not (tptp.r1 @t484 @t215)) @t217 @t216))) % 127.25/129.29 (define @t486 () (@quantifiers_skolemize @t485 0)) % 127.25/129.29 (define @t487 () (tptp.r1 @t484 @t486)) % 127.25/129.29 (define @t488 () (forall @t173 (or (not (tptp.r1 @t486 @t171)) @t172))) % 127.25/129.29 (define @t489 () (not @t487)) % 127.25/129.29 (define @t490 () (or @t489 @t488 (not (tptp.p1 @t486)))) % 127.25/129.29 (define @t491 () (@list @t484)) % 127.25/129.29 (define @t492 () (forall @t228 (or (not (tptp.r1 @t484 @t225)) @t226))) % 127.25/129.29 (define @t493 () (not @t492)) % 127.25/129.29 (define @t494 () (tptp.r1 @t451 @t484)) % 127.25/129.29 (define @t495 () (not @t494)) % 127.25/129.29 (define @t496 () (or @t495 @t493)) % 127.25/129.29 (define @t497 () (@list @t496)) % 127.25/129.29 (define @t498 () (forall @t85 (or (not (tptp.r1 @t484 @t83)) @t84))) % 127.25/129.29 (define @t499 () (not @t498)) % 127.25/129.29 (define @t500 () (forall @t91 (or (not (tptp.r1 @t484 @t87)) @t259))) % 127.25/129.29 (define @t501 () (or @t495 @t500 @t499)) % 127.25/129.29 (define @t502 () (forall @t258 (or (not (tptp.r1 @t486 @t256)) @t257))) % 127.25/129.29 (define @t503 () (or @t489 @t502)) % 127.25/129.29 (define @t504 () (not @t490)) % 127.25/129.29 (define @t505 () (not @t485)) % 127.25/129.29 (define @t506 () (@list @t171 @t215)) % 127.25/129.29 (define @t507 () (forall @t137 (or (not (tptp.r1 @t484 @t132)) @t287 @t133))) % 127.25/129.29 (define @t508 () (not @t507)) % 127.25/129.29 (define @t509 () (or @t495 @t508)) % 127.25/129.29 (define @t510 () (not @t509)) % 127.25/129.29 (define @t511 () (forall @t122 (or (not (tptp.r1 @t483 @t111)) @t280 @t275))) % 127.25/129.29 (define @t512 () (not @t511)) % 127.25/129.29 (define @t513 () (forall @t127 (or (not (tptp.r1 @t483 @t125)) @t126))) % 127.25/129.29 (define @t514 () (tptp.r1 @t451 @t483)) % 127.25/129.29 (define @t515 () (not @t514)) % 127.25/129.29 (define @t516 () (or @t515 @t513 (not (tptp.p1 @t483)) @t512)) % 127.25/129.29 (define @t517 () (not @t516)) % 127.25/129.29 (define @t518 () (@list @t516)) % 127.25/129.29 (define @t519 () (forall @t78 (or (not (tptp.r1 @t483 @t72)) @t75 @t250))) % 127.25/129.29 (define @t520 () (or @t515 @t519)) % 127.25/129.29 (define @t521 () (forall @t179 (or (not (tptp.r1 @t483 @t175)) @t178 @t177))) % 127.25/129.29 (define @t522 () (@quantifiers_skolemize @t513 0)) % 127.25/129.29 (define @t523 () (@list @t522)) % 127.25/129.29 (define @t524 () (tptp.p1 @t522)) % 127.25/129.29 (define @t525 () (and (not (forall @t274 (or (not (tptp.r1 @t522 @t272)) @t273))) @t524)) % 127.25/129.29 (define @t526 () (forall @t279 (or (not (tptp.r1 @t522 @t276)) @t278 @t277))) % 127.25/129.29 (define @t527 () (tptp.r1 @t483 @t522)) % 127.25/129.29 (define @t528 () (not @t527)) % 127.25/129.29 (define @t529 () (or @t528 @t526 @t525)) % 127.25/129.29 (define @t530 () (not @t513)) % 127.25/129.29 (define @t531 () (or @t528 @t524)) % 127.25/129.29 (define @t532 () (not @t531)) % 127.25/129.29 (define @t533 () (@list @t531)) % 127.25/129.29 (define @t534 () (not @t525)) % 127.25/129.29 (define @t535 () (@list false true false)) % 127.25/129.29 (define @t536 () (forall @t219 (or (not (tptp.r1 @t522 @t215)) @t217 @t216))) % 127.25/129.29 (define @t537 () (@var "BOUND_VARIABLE_27897" $$unsorted)) % 127.25/129.29 (define @t538 () (@var "BOUND_VARIABLE_27896" $$unsorted)) % 127.25/129.29 (define @t539 () (@list @t538 @t537)) % 127.25/129.29 (define @t540 () (forall @t176 (or (not (tptp.r1 @t522 @t169)) @t174 @t170))) % 127.25/129.29 (define @t541 () (not @t540)) % 127.25/129.29 (define @t542 () (or @t528 @t524 @t541)) % 127.25/129.29 (define @t543 () (not @t542)) % 127.25/129.29 (assume @p1 (not (not @t158))) % 127.25/129.29 (assume @p2 true) % 127.25/129.29 (step @p3 :rule aci_norm :args ((= (or @t309 @t300 (or @t241 @t214 @t183)) @t310))) % 127.25/129.29 (step @p4 :rule refl :args (@t183)) % 127.25/129.29 (step @p5 :rule refl :args (@t214)) % 127.25/129.29 (step @p6 :rule bool-double-not-elim :args (@t241)) % 127.25/129.29 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t313)) % 127.25/129.29 (step @p8 :rule aci_norm :args ((= (or @t312 (or @t214 @t183)) @t313))) % 127.25/129.29 (step @p9 :rule trans :premises (@p8 @p7)) % 127.25/129.29 (step @p10 :rule bool-and-de-morgan :args (@t213 @t182 true)) % 127.25/129.29 (step @p11 :rule refl :args (@t312)) % 127.25/129.29 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t312 (not (and @t213 @t182))))) % 127.25/129.29 (step @p13 :rule bool-and-de-morgan :args (@t311 @t213 (and @t182))) % 127.25/129.29 (step @p14 :rule trans :premises (@p13 @p12)) % 127.25/129.29 (step @p15 :rule trans :premises (@p14 @p9)) % 127.25/129.29 (step @p16 :rule refl :args (@t300)) % 127.25/129.29 (step @p17 :rule refl :args (@t309)) % 127.25/129.29 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15) :args (@t314)) % 127.25/129.29 (step @p19 :rule trans :premises (@p18 @p3)) % 127.25/129.29 (step @p20 :rule cong :premises (@p19) :args ((forall @t10 @t314))) % 127.25/129.29 (step @p21 :rule alpha_equiv :args (@t316 @t317 (@list @t161))) % 127.25/129.29 (step @p22 :rule alpha_equiv :args (@t318 @t317 (@list @t175))) % 127.25/129.29 (step @p23 :rule cong :premises (@p22) :args (@t319)) % 127.25/129.29 (step @p24 :rule alpha_equiv :args (@t320 @t317 (@list @t180))) % 127.25/129.29 (step @p25 :rule refl :args (@t2)) % 127.25/129.29 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args (@t321)) % 127.25/129.29 (step @p27 :rule nary_cong :premises (@p26 @p21) :args (@t322)) % 127.25/129.29 (step @p28 :rule refl :args (@t4)) % 127.25/129.29 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t323)) % 127.25/129.29 (step @p30 :rule cong :premises (@p29) :args (@t324)) % 127.25/129.29 (step @p31 :rule alpha_equiv :args (@t325 @t317 (@list @t196))) % 127.25/129.29 (step @p32 :rule nary_cong :premises (@p28 @p31) :args (@t326)) % 127.25/129.29 (step @p33 :rule cong :premises (@p32) :args (@t327)) % 127.25/129.29 (step @p34 :rule alpha_equiv :args (@t328 @t317 (@list @t236))) % 127.25/129.29 (step @p35 :rule nary_cong :premises (@p28 @p34) :args (@t329)) % 127.25/129.29 (step @p36 :rule cong :premises (@p35) :args (@t330)) % 127.25/129.29 (step @p37 :rule cong :premises (@p36) :args (@t331)) % 127.25/129.29 (step @p38 :rule nary_cong :premises (@p37 @p33 @p30) :args (@t332)) % 127.25/129.29 (step @p39 :rule cong :premises (@p38) :args (@t333)) % 127.25/129.29 (step @p40 :rule alpha_equiv :args (@t334 @t317 (@list @t295))) % 127.25/129.29 (step @p41 :rule nary_cong :premises (@p28 @p40) :args (@t335)) % 127.25/129.29 (step @p42 :rule cong :premises (@p41) :args (@t336)) % 127.25/129.29 (step @p43 :rule cong :premises (@p42) :args (@t337)) % 127.25/129.29 (step @p44 :rule alpha_equiv :args (@t338 @t317 (@list @t306))) % 127.25/129.29 (step @p45 :rule nary_cong :premises (@p28 @p44) :args (@t339)) % 127.25/129.29 (step @p46 :rule cong :premises (@p45) :args (@t340)) % 127.25/129.29 (step @p47 :rule cong :premises (@p46) :args (@t341)) % 127.25/129.29 (step @p48 :rule nary_cong :premises (@p47 @p43 @p39) :args (@t342)) % 127.25/129.29 (step @p49 :rule cong :premises (@p48) :args ((forall @t10 @t342))) % 127.25/129.29 (step @p50 :rule trans :premises (@p49 @p20)) % 127.25/129.29 (step @p51 :rule bool-double-not-elim :args (@t342)) % 127.25/129.29 (step @p52 :rule cong :premises (@p51) :args (@t344)) % 127.25/129.29 (step @p53 :rule trans :premises (@p52 @p50)) % 127.25/129.29 (step @p54 :rule cong :premises (@p53) :args (@t345)) % 127.25/129.29 (step @p55 :rule exists-elim :args ((= (exists @t10 @t343) @t345))) % 127.25/129.29 (step @p56 :rule trans :premises (@p55 @p54)) % 127.25/129.29 (step @p57 :rule alpha_equiv :args (@t6 @t346 (@list @t159))) % 127.25/129.29 (step @p58 :rule cong :premises (@p57) :args (@t7)) % 127.25/129.29 (step @p59 :rule alpha_equiv :args (@t347 @t346 (@list @t165))) % 127.25/129.29 (step @p60 :rule refl :args (@t9)) % 127.25/129.29 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t348)) % 127.25/129.29 (step @p62 :rule cong :premises (@p61) :args (@t349)) % 127.25/129.29 (step @p63 :rule alpha_equiv :args (@t350 @t346 (@list @t169))) % 127.25/129.29 (step @p64 :rule cong :premises (@p63) :args (@t351)) % 127.25/129.29 (step @p65 :rule refl :args (@t8)) % 127.25/129.29 (step @p66 :rule nary_cong :premises (@p60 @p65 @p64) :args (@t352)) % 127.25/129.29 (step @p67 :rule cong :premises (@p66) :args (@t353)) % 127.25/129.29 (step @p68 :rule cong :premises (@p67) :args (@t354)) % 127.25/129.29 (step @p69 :rule nary_cong :premises (@p60 @p58) :args (@t23)) % 127.25/129.29 (step @p70 :rule cong :premises (@p69) :args (@t24)) % 127.25/129.29 (step @p71 :rule nary_cong :premises (@p25 @p70 @p68) :args (@t355)) % 127.25/129.29 (step @p72 :rule nary_cong :premises (@p71 @p62) :args (@t356)) % 127.25/129.29 (step @p73 :rule nary_cong :premises (@p28 @p72) :args (@t357)) % 127.25/129.29 (step @p74 :rule cong :premises (@p73) :args ((forall @t5 @t357))) % 127.25/129.29 (step @p75 :rule refl :args (@t7)) % 127.25/129.29 (step @p76 :rule alpha_equiv :args (@t11 @t317 (@list @t163))) % 127.25/129.29 (step @p77 :rule nary_cong :premises (@p28 @p76) :args (@t12)) % 127.25/129.29 (step @p78 :rule cong :premises (@p77) :args (@t13)) % 127.25/129.29 (step @p79 :rule nary_cong :premises (@p60 @p78 @p75) :args (@t14)) % 127.25/129.29 (step @p80 :rule cong :premises (@p79) :args (@t15)) % 127.25/129.29 (step @p81 :rule refl :args (@t16)) % 127.25/129.29 (step @p82 :rule alpha_equiv :args (@t11 @t317 @t358)) % 127.25/129.29 (step @p83 :rule nary_cong :premises (@p28 @p82 @p81) :args (@t17)) % 127.25/129.29 (step @p84 :rule cong :premises (@p83) :args (@t18)) % 127.25/129.29 (step @p85 :rule cong :premises (@p84) :args (@t19)) % 127.25/129.29 (step @p86 :rule nary_cong :premises (@p60 @p65 @p85) :args (@t20)) % 127.25/129.29 (step @p87 :rule cong :premises (@p86) :args (@t21)) % 127.25/129.29 (step @p88 :rule cong :premises (@p87) :args (@t22)) % 127.25/129.29 (step @p89 :rule refl :args (@t24)) % 127.25/129.29 (step @p90 :rule refl :args (@t2)) % 127.25/129.29 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args (@t25)) % 127.25/129.29 (step @p92 :rule nary_cong :premises (@p91 @p80) :args (@t26)) % 127.25/129.29 (step @p93 :rule refl :args (@t4)) % 127.25/129.29 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t27)) % 127.25/129.29 (step @p95 :rule cong :premises (@p94) :args (@t28)) % 127.25/129.29 (step @p96 :rule trans :premises (@p95 @p74)) % 127.25/129.29 (step @p97 :rule alpha_equiv :args (@t360 @t346 (@list @t186))) % 127.25/129.29 (step @p98 :rule alpha_equiv :args (@t361 @t346 (@list @t204))) % 127.25/129.29 (step @p99 :rule cong :premises (@p98) :args (@t362)) % 127.25/129.29 (step @p100 :rule alpha_equiv :args (@t363 @t346 (@list @t209))) % 127.25/129.29 (step @p101 :rule nary_cong :premises (@p65 @p100 @p99) :args (@t364)) % 127.25/129.29 (step @p102 :rule nary_cong :premises (@p101 @p97) :args (@t365)) % 127.25/129.29 (step @p103 :rule nary_cong :premises (@p60 @p102) :args (@t366)) % 127.25/129.29 (step @p104 :rule cong :premises (@p103) :args (@t367)) % 127.25/129.29 (step @p105 :rule nary_cong :premises (@p28 @p104) :args (@t368)) % 127.25/129.29 (step @p106 :rule cong :premises (@p105) :args ((forall @t5 @t368))) % 127.25/129.29 (step @p107 :rule alpha_equiv :args (@t11 @t317 (@list @t184))) % 127.25/129.29 (step @p108 :rule cong :premises (@p107) :args (@t29)) % 127.25/129.29 (step @p109 :rule alpha_equiv :args (@t369 @t317 (@list @t191))) % 127.25/129.29 (step @p110 :rule nary_cong :premises (@p28 @p109 @p108) :args (@t370)) % 127.25/129.29 (step @p111 :rule cong :premises (@p110) :args (@t371)) % 127.25/129.29 (step @p112 :rule alpha_equiv :args (@t372 @t317 (@list @t198))) % 127.25/129.29 (step @p113 :rule cong :premises (@p112) :args (@t373)) % 127.25/129.29 (step @p114 :rule nary_cong :premises (@p28 @p25 @p113) :args (@t374)) % 127.25/129.29 (step @p115 :rule cong :premises (@p114) :args (@t375)) % 127.25/129.29 (step @p116 :rule cong :premises (@p115) :args (@t376)) % 127.25/129.29 (step @p117 :rule nary_cong :premises (@p28 @p108) :args (@t41)) % 127.25/129.29 (step @p118 :rule cong :premises (@p117) :args (@t42)) % 127.25/129.29 (step @p119 :rule nary_cong :premises (@p65 @p118 @p116) :args (@t377)) % 127.25/129.29 (step @p120 :rule nary_cong :premises (@p119 @p111) :args (@t378)) % 127.25/129.29 (step @p121 :rule nary_cong :premises (@p60 @p120) :args (@t379)) % 127.25/129.29 (step @p122 :rule cong :premises (@p121) :args ((forall @t10 @t379))) % 127.25/129.29 (step @p123 :rule refl :args (@t29)) % 127.25/129.29 (step @p124 :rule alpha_equiv :args (@t6 @t346 (@list @t189))) % 127.25/129.29 (step @p125 :rule nary_cong :premises (@p60 @p124) :args (@t30)) % 127.25/129.29 (step @p126 :rule cong :premises (@p125) :args (@t31)) % 127.25/129.29 (step @p127 :rule nary_cong :premises (@p28 @p126 @p123) :args (@t32)) % 127.25/129.29 (step @p128 :rule cong :premises (@p127) :args (@t33)) % 127.25/129.29 (step @p129 :rule refl :args (@t34)) % 127.25/129.29 (step @p130 :rule alpha_equiv :args (@t6 @t346 (@list @t200))) % 127.25/129.29 (step @p131 :rule nary_cong :premises (@p60 @p130 @p129) :args (@t35)) % 127.25/129.29 (step @p132 :rule cong :premises (@p131) :args (@t36)) % 127.25/129.29 (step @p133 :rule cong :premises (@p132) :args (@t37)) % 127.25/129.29 (step @p134 :rule nary_cong :premises (@p28 @p25 @p133) :args (@t38)) % 127.25/129.29 (step @p135 :rule cong :premises (@p134) :args (@t39)) % 127.25/129.29 (step @p136 :rule cong :premises (@p135) :args (@t40)) % 127.25/129.29 (step @p137 :rule refl :args (@t42)) % 127.25/129.29 (step @p138 :rule refl :args (@t8)) % 127.25/129.29 (step @p139 :rule nary_cong :premises (@p138 @p137 @p136) :args (@t43)) % 127.25/129.29 (step @p140 :rule nary_cong :premises (@p139 @p128) :args (@t44)) % 127.25/129.29 (step @p141 :rule refl :args (@t9)) % 127.25/129.29 (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t45)) % 127.25/129.29 (step @p143 :rule cong :premises (@p142) :args (@t46)) % 127.25/129.29 (step @p144 :rule trans :premises (@p143 @p122)) % 127.25/129.29 (step @p145 :rule nary_cong :premises (@p93 @p144) :args (@t47)) % 127.25/129.29 (step @p146 :rule cong :premises (@p145) :args (@t48)) % 127.25/129.29 (step @p147 :rule trans :premises (@p146 @p106)) % 127.25/129.29 (step @p148 :rule alpha_equiv :args (@t380 @t346 (@list @t222))) % 127.25/129.29 (step @p149 :rule nary_cong :premises (@p60 @p148) :args (@t381)) % 127.25/129.29 (step @p150 :rule cong :premises (@p149) :args (@t382)) % 127.25/129.29 (step @p151 :rule nary_cong :premises (@p28 @p150) :args (@t383)) % 127.25/129.29 (step @p152 :rule cong :premises (@p151) :args ((forall @t5 @t383))) % 127.25/129.29 (step @p153 :rule alpha_equiv :args (@t384 @t317 (@list @t218))) % 127.25/129.29 (step @p154 :rule cong :premises (@p153) :args (@t385)) % 127.25/129.29 (step @p155 :rule alpha_equiv :args (@t386 @t317 (@list @t227))) % 127.25/129.29 (step @p156 :rule alpha_equiv :args (@t11 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:premises (@p168) :args (@t24)) % 127.25/129.29 (step @p170 :rule refl :args (@t11)) % 127.25/129.29 (step @p171 :rule nary_cong :premises (@p28 @p170 @p169 @p165) :args (@t392)) % 127.25/129.29 (step @p172 :rule cong :premises (@p171) :args ((forall @t5 @t392))) % 127.25/129.29 (step @p173 :rule refl :args (@t11)) % 127.25/129.29 (step @p174 :rule nary_cong :premises (@p93 @p173 @p89 @p88) :args (@t49)) % 127.25/129.29 (step @p175 :rule cong :premises (@p174) :args (@t50)) % 127.25/129.29 (step @p176 :rule trans :premises (@p175 @p172)) % 127.25/129.29 (step @p177 :rule nary_cong :premises (@p141 @p176) :args (@t51)) % 127.25/129.29 (step @p178 :rule cong :premises (@p177) :args (@t52)) % 127.25/129.29 (step @p179 :rule trans :premises (@p178 @p160)) % 127.25/129.29 (step @p180 :rule nary_cong :premises (@p93 @p179) :args (@t53)) % 127.25/129.29 (step @p181 :rule cong :premises (@p180) :args (@t54)) % 127.25/129.29 (step @p182 :rule trans :premises (@p181 @p152)) % 127.25/129.29 (step @p183 :rule cong :premises (@p182) :args (@t55)) % 127.25/129.29 (step @p184 :rule nary_cong :premises (@p183 @p147 @p96) :args (@t56)) % 127.25/129.29 (step @p185 :rule cong :premises (@p184) :args (@t57)) % 127.25/129.29 (step @p186 :rule alpha_equiv :args (@t393 @t346 (@list @t247))) % 127.25/129.29 (step @p187 :rule nary_cong :premises (@p60 @p186) :args (@t394)) % 127.25/129.29 (step @p188 :rule cong :premises (@p187) :args (@t395)) % 127.25/129.29 (step @p189 :rule nary_cong :premises (@p28 @p188) :args (@t396)) % 127.25/129.29 (step @p190 :rule cong :premises (@p189) :args ((forall @t5 @t396))) % 127.25/129.29 (step @p191 :rule alpha_equiv :args (@t397 @t317 (@list @t244))) % 127.25/129.29 (step @p192 :rule cong :premises (@p191) :args (@t398)) % 127.25/129.29 (step @p193 :rule alpha_equiv :args (@t399 @t317 (@list @t251))) % 127.25/129.29 (step @p194 :rule nary_cong :premises (@p193 @p192) :args (@t400)) % 127.25/129.29 (step @p195 :rule alpha_equiv :args (@t401 @t317 (@list 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(step @p208 :rule nary_cong :premises (@p60 @p207) :args (@t413)) % 127.25/129.29 (step @p209 :rule cong :premises (@p208) :args ((forall @t10 @t413))) % 127.25/129.29 (step @p210 :rule refl :args (@t59)) % 127.25/129.29 (step @p211 :rule alpha_equiv :args (@t60 @t317 (@list @t242))) % 127.25/129.29 (step @p212 :rule refl :args (@t61)) % 127.25/129.29 (step @p213 :rule nary_cong :premises (@p212 @p211 @p210) :args (@t62)) % 127.25/129.29 (step @p214 :rule cong :premises (@p213) :args (@t64)) % 127.25/129.29 (step @p215 :rule cong :premises (@p214) :args (@t65)) % 127.25/129.29 (step @p216 :rule nary_cong :premises (@p60 @p65 @p215) :args (@t66)) % 127.25/129.29 (step @p217 :rule cong :premises (@p216) :args (@t67)) % 127.25/129.29 (step @p218 :rule cong :premises (@p217) :args (@t68)) % 127.25/129.29 (step @p219 :rule alpha_equiv :args (@t73 @t317 (@list @t249))) % 127.25/129.29 (step @p220 :rule cong :premises (@p219) :args (@t74)) % 127.25/129.29 (step @p221 :rule refl :args (@t75)) % 127.25/129.29 (step @p222 :rule refl :args (@t76)) % 127.25/129.29 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220) :args (@t77)) % 127.25/129.29 (step @p224 :rule cong :premises (@p223) :args (@t79)) % 127.25/129.29 (step @p225 :rule nary_cong :premises (@p60 @p224) :args (@t80)) % 127.25/129.29 (step @p226 :rule cong :premises (@p225) :args (@t81)) % 127.25/129.29 (step @p227 :rule nary_cong :premises (@p226 @p218) :args (@t82)) % 127.25/129.29 (step @p228 :rule refl :args (@t86)) % 127.25/129.29 (step @p229 :rule alpha_equiv :args (@t88 @t317 @t414)) % 127.25/129.29 (step @p230 :rule refl :args (@t89)) % 127.25/129.29 (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t90)) % 127.25/129.29 (step @p232 :rule cong :premises (@p231) :args (@t92)) % 127.25/129.29 (step @p233 :rule nary_cong :premises (@p60 @p232 @p228) :args (@t93)) % 127.25/129.29 (step @p234 :rule cong :premises (@p233) :args (@t94)) % 127.25/129.29 (step @p235 :rule refl :args (@t96)) % 127.25/129.29 (step @p236 :rule alpha_equiv :args (@t97 @t317 (@list @t262))) % 127.25/129.29 (step @p237 :rule refl :args (@t98)) % 127.25/129.29 (step @p238 :rule nary_cong :premises (@p237 @p236 @p235) :args (@t99)) % 127.25/129.29 (step @p239 :rule cong :premises (@p238) :args (@t101)) % 127.25/129.29 (step @p240 :rule cong :premises (@p239) :args (@t102)) % 127.25/129.29 (step @p241 :rule nary_cong :premises (@p60 @p65 @p240) :args (@t103)) % 127.25/129.29 (step @p242 :rule cong :premises (@p241) :args (@t104)) % 127.25/129.29 (step @p243 :rule cong :premises (@p242) :args (@t105)) % 127.25/129.29 (step @p244 :rule refl :args (@t109)) % 127.25/129.29 (step @p245 :rule nary_cong :premises (@p90 @p244 @p243) :args (@t110)) % 127.25/129.29 (step @p246 :rule refl :args (@t112)) % 127.25/129.29 (step @p247 :rule alpha_equiv :args (@t115 @t317 (@list @t272))) % 127.25/129.29 (step @p248 :rule cong :premises (@p247) :args (@t415)) % 127.25/129.29 (step @p249 :rule nary_cong :premises (@p248 @p246) :args (@t416)) % 127.25/129.29 (step @p250 :rule alpha_equiv :args (@t119 @t317 (@list @t276))) % 127.25/129.29 (step @p251 :rule refl :args (@t120)) % 127.25/129.29 (step @p252 :rule nary_cong :premises (@p251 @p250 @p249) :args (@t417)) % 127.25/129.29 (step @p253 :rule cong :premises (@p252) :args (@t418)) % 127.25/129.29 (step @p254 :rule cong :premises (@p253) :args (@t419)) % 127.25/129.29 (step @p255 :rule refl :args (@t128)) % 127.25/129.29 (step @p256 :rule nary_cong :premises (@p60 @p255 @p129 @p254) :args (@t420)) % 127.25/129.29 (step @p257 :rule cong :premises (@p256) :args ((forall @t10 @t420))) % 127.25/129.29 (step @p258 :rule bool-double-not-elim :args (@t112)) % 127.25/129.29 (step @p259 :rule refl :args (@t415)) % 127.25/129.29 (step @p260 :rule nary_cong :premises (@p259 @p258) :args ((and @t415 (not @t113)))) % 127.25/129.29 (step @p261 :rule bool-or-de-morgan :args (@t115 @t113 false)) % 127.25/129.29 (step @p262 :rule trans :premises (@p261 @p260)) % 127.25/129.29 (step @p263 :rule refl :args (@t119)) % 127.25/129.29 (step @p264 :rule nary_cong :premises (@p251 @p263 @p262) :args (@t121)) % 127.25/129.29 (step @p265 :rule cong :premises (@p264) :args (@t123)) % 127.25/129.29 (step @p266 :rule cong :premises (@p265) :args (@t124)) % 127.25/129.29 (step @p267 :rule refl :args (@t34)) % 127.25/129.29 (step @p268 :rule refl :args (@t128)) % 127.25/129.29 (step @p269 :rule nary_cong :premises (@p141 @p268 @p267 @p266) :args (@t129)) % 127.25/129.29 (step @p270 :rule cong :premises (@p269) :args (@t130)) % 127.25/129.29 (step @p271 :rule trans :premises (@p270 @p257)) % 127.25/129.29 (step @p272 :rule cong :premises (@p271) :args (@t131)) % 127.25/129.29 (step @p273 :rule refl :args (@t133)) % 127.25/129.29 (step @p274 :rule alpha_equiv :args (@t134 @t317 (@list @t286))) % 127.25/129.29 (step @p275 :rule refl :args (@t135)) % 127.25/129.29 (step @p276 :rule nary_cong :premises (@p275 @p274 @p273) :args (@t136)) % 127.25/129.29 (step @p277 :rule cong :premises (@p276) :args (@t138)) % 127.25/129.29 (step @p278 :rule cong :premises (@p277) :args (@t139)) % 127.25/129.29 (step @p279 :rule nary_cong :premises (@p60 @p278) :args (@t140)) % 127.25/129.29 (step @p280 :rule cong :premises (@p279) :args (@t141)) % 127.25/129.29 (step @p281 :rule refl :args (@t16)) % 127.25/129.29 (step @p282 :rule nary_cong :premises (@p173 @p281 @p280 @p272) :args (@t142)) % 127.25/129.29 (step @p283 :rule nary_cong :premises (@p282 @p245 @p234 @p227) :args (@t143)) % 127.25/129.29 (step @p284 :rule nary_cong :premises (@p93 @p283) :args (@t144)) % 127.25/129.29 (step @p285 :rule cong :premises (@p284) :args (@t145)) % 127.25/129.29 (step @p286 :rule nary_cong :premises (@p141 @p285) :args (@t146)) % 127.25/129.29 (step @p287 :rule cong :premises (@p286) :args (@t147)) % 127.25/129.29 (step @p288 :rule trans :premises (@p287 @p209)) % 127.25/129.29 (step @p289 :rule nary_cong :premises (@p93 @p288) :args (@t148)) % 127.25/129.29 (step @p290 :rule cong :premises (@p289) :args (@t149)) % 127.25/129.29 (step @p291 :rule trans :premises (@p290 @p190)) % 127.25/129.29 (step @p292 :rule cong :premises (@p291) :args (@t150)) % 127.25/129.29 (step @p293 :rule alpha_equiv :args (@t421 @t346 (@list @t303))) % 127.25/129.29 (step @p294 :rule nary_cong :premises (@p60 @p293) :args (@t422)) % 127.25/129.29 (step @p295 :rule cong :premises (@p294) :args (@t423)) % 127.25/129.29 (step @p296 :rule nary_cong :premises (@p28 @p295) :args (@t424)) % 127.25/129.29 (step @p297 :rule cong :premises (@p296) :args ((forall @t5 @t424))) % 127.25/129.29 (step @p298 :rule alpha_equiv :args (@t325 @t317 (@list @t301))) % 127.25/129.29 (step @p299 :rule nary_cong :premises (@p28 @p298) :args (@t326)) % 127.25/129.29 (step @p300 :rule cong :premises (@p299) :args (@t327)) % 127.25/129.29 (step @p301 :rule nary_cong :premises (@p60 @p300) :args (@t425)) % 127.25/129.29 (step @p302 :rule cong :premises (@p301) :args ((forall @t10 @t425))) % 127.25/129.29 (step @p303 :rule nary_cong :premises (@p141 @p147) :args (@t151)) % 127.25/129.29 (step @p304 :rule cong :premises (@p303) :args (@t152)) % 127.25/129.29 (step @p305 :rule trans :premises (@p304 @p302)) % 127.25/129.29 (step @p306 :rule nary_cong :premises (@p93 @p305) :args (@t153)) % 127.25/129.29 (step @p307 :rule cong :premises (@p306) :args (@t154)) % 127.25/129.29 (step @p308 :rule trans :premises (@p307 @p297)) % 127.25/129.29 (step @p309 :rule cong :premises (@p308) :args (@t155)) % 127.25/129.29 (step @p310 :rule nary_cong :premises (@p309 @p292 @p185) :args (@t156)) % 127.25/129.29 (step @p311 :rule cong :premises (@p310) :args (@t157)) % 127.25/129.29 (step @p312 :rule cong :premises (@p311) :args (@t158)) % 127.25/129.29 (step @p313 :rule trans :premises (@p312 @p56)) % 127.25/129.29 (step @p314 :rule bool-double-not-elim :args (@t158)) % 127.25/129.29 (step @p315 :rule trans :premises (@p314 @p313)) % 127.25/129.29 (step @p316 :rule eq_resolve :premises (@p1 @p315)) % 127.25/129.29 (step @p317 :rule skolemize :premises (@p316)) % 127.25/129.29 (step @p318 :rule bool-double-not-elim :args (@t428)) % 127.25/129.29 (step @p319 :rule refl :args (@t431)) % 127.25/129.29 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t431 (not @t430)))) % 127.25/129.29 (step @p321 :rule cnf_or_neg :args (@t431 1)) % 127.25/129.29 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 127.25/129.29 (step @p323 :rule reordering :premises (@p322) :args ((or @t428 @t431))) % 127.25/129.29 (step @p324 :rule chain_m_resolution :premises (@p323 @p317) :args (@t428 @t432 @t433)) % 127.25/129.29 (step @p325 :rule instantiate :premises (@p324) :args ((@list @t434))) % 127.25/129.29 (step @p326 :rule cnf_or_neg :args (@t431 2)) % 127.25/129.29 (step @p327 :rule chain_m_resolution :premises (@p326 @p317) :args ((not @t429) @t432 @t433)) % 127.25/129.29 (step @p328 :rule skolemize :premises (@p327)) % 127.25/129.29 (step @p329 :rule bool-double-not-elim :args (@t435)) % 127.25/129.29 (step @p330 :rule refl :args (@t438)) % 127.25/129.29 (step @p331 :rule nary_cong :premises (@p330 @p329) :args ((or @t438 (not @t437)))) % 127.25/129.29 (step @p332 :rule cnf_or_neg :args (@t438 0)) % 127.25/129.29 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 127.25/129.29 (step @p334 :rule reordering :premises (@p333) :args ((or @t435 @t438))) % 127.25/129.29 (step @p335 :rule chain_m_resolution :premises (@p334 @p328) :args (@t435 @t432 @t439)) % 127.25/129.29 (step @p336 :rule cnf_or_pos :args (@t441)) % 127.25/129.29 (step @p337 :rule reordering :premises (@p336) :args ((or @t437 @t440 (not @t441)))) % 127.25/129.29 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p325) :args (@t440 @t442 (@list @t435 @t441))) % 127.25/129.29 (step @p339 :rule instantiate :premises (@p338) :args ((@list @t443))) % 127.25/129.29 (step @p340 :rule cnf_or_neg :args (@t438 1)) % 127.25/129.29 (step @p341 :rule chain_m_resolution :premises (@p340 @p328) :args ((not @t436) @t432 @t439)) % 127.25/129.29 (step @p342 :rule skolemize :premises (@p341)) % 127.25/129.29 (step @p343 :rule bool-double-not-elim :args (@t444)) % 127.25/129.29 (step @p344 :rule refl :args (@t447)) % 127.25/129.29 (step @p345 :rule nary_cong :premises (@p344 @p343) :args ((or @t447 (not @t446)))) % 127.25/129.29 (step @p346 :rule cnf_or_neg :args (@t447 0)) % 127.25/129.29 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 127.25/129.29 (step @p348 :rule reordering :premises (@p347) :args ((or @t444 @t447))) % 127.25/129.29 (step @p349 :rule chain_m_resolution :premises (@p348 @p342) :args (@t444 @t432 @t448)) % 127.25/129.29 (step @p350 :rule cnf_or_pos :args (@t450)) % 127.25/129.29 (step @p351 :rule reordering :premises (@p350) :args ((or @t446 @t449 (not @t450)))) % 127.25/129.29 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p339) :args (@t449 @t442 (@list @t444 @t450))) % 127.25/129.29 (step @p353 :rule instantiate :premises (@p352) :args ((@list @t451))) % 127.25/129.29 (step @p354 :rule cnf_or_neg :args (@t447 1)) % 127.25/129.29 (step @p355 :rule chain_m_resolution :premises (@p354 @p342) :args ((not @t445) @t432 @t448)) % 127.25/129.29 (step @p356 :rule skolemize :premises (@p355)) % 127.25/129.29 (step @p357 :rule bool-double-not-elim :args (@t452)) % 127.25/129.29 (step @p358 :rule refl :args (@t458)) % 127.25/129.29 (step @p359 :rule nary_cong :premises (@p358 @p357) :args ((or @t458 (not @t457)))) % 127.25/129.29 (step @p360 :rule cnf_or_neg :args (@t458 0)) % 127.25/129.29 (step @p361 :rule eq_resolve :premises (@p360 @p359)) % 127.25/129.29 (step @p362 :rule reordering :premises (@p361) :args ((or @t452 @t458))) % 127.25/129.29 (step @p363 :rule chain_m_resolution :premises (@p362 @p356) :args (@t452 @t432 @t459)) % 127.25/129.29 (step @p364 :rule cnf_or_pos :args (@t477)) % 127.25/129.29 (step @p365 :rule reordering :premises (@p364) :args ((or @t457 @t476 (not @t477)))) % 127.25/129.29 (step @p366 :rule chain_m_resolution :premises (@p365 @p363 @p353) :args (@t476 @t442 (@list @t452 @t477))) % 127.25/129.29 (step @p367 :rule cnf_and_pos :args (@t476 3)) % 127.25/129.29 (step @p368 :rule reordering :premises (@p367) :args ((or @t463 @t478))) % 127.25/129.29 (step @p369 :rule chain_m_resolution :premises (@p368 @p366) :args (@t463 @t479 @t480)) % 127.25/129.29 (step @p370 :rule bool-double-not-elim :args (@t453)) % 127.25/129.29 (step @p371 :rule nary_cong :premises (@p358 @p370) :args ((or @t458 (not @t454)))) % 127.25/129.29 (step @p372 :rule cnf_or_neg :args (@t458 3)) % 127.25/129.29 (step @p373 :rule eq_resolve :premises (@p372 @p371)) % 127.25/129.29 (step @p374 :rule reordering :premises (@p373) :args ((or @t453 @t458))) % 127.25/129.29 (step @p375 :rule chain_m_resolution :premises (@p374 @p356) :args (@t453 @t432 @t459)) % 127.25/129.29 (step @p376 :rule alpha_equiv :args (@t453 @t481 (@list @t58 @t242 @t244))) % 127.25/129.29 (step @p377 :rule equiv_elim1 :premises (@p376)) % 127.25/129.29 (step @p378 :rule chain_m_resolution :premises (@p377 @p375) :args (@t460 @t479 @t482)) % 127.25/129.29 (step @p379 :rule cnf_or_pos :args (@t463)) % 127.25/129.29 (step @p380 :rule reordering :premises (@p379) :args ((or @t462 @t461 (not @t463)))) % 127.25/129.29 (step @p381 :rule chain_m_resolution :premises (@p380 @p378 @p369) :args (@t462 @t442 (@list @t460 @t463))) % 127.25/129.29 (step @p382 :rule instantiate :premises (@p381) :args ((@list @t483))) % 127.25/129.29 (step @p383 :rule cnf_and_pos :args (@t476 0)) % 127.25/129.29 (step @p384 :rule reordering :premises (@p383) :args ((or @t475 @t478))) % 127.25/129.29 (step @p385 :rule chain_m_resolution :premises (@p384 @p366) :args (@t475 @t479 @t480)) % 127.25/129.29 (step @p386 :rule bool-double-not-elim :args (@t487)) % 127.25/129.29 (step @p387 :rule refl :args (@t490)) % 127.25/129.29 (step @p388 :rule nary_cong :premises (@p387 @p386) :args ((or @t490 (not @t489)))) % 127.25/129.29 (step @p389 :rule cnf_or_neg :args (@t490 0)) % 127.25/129.29 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 127.25/129.29 (step @p391 :rule reordering :premises (@p390) :args ((or @t487 @t490))) % 127.25/129.29 (step @p392 :rule cnf_or_neg :args (@t490 1)) % 127.25/129.29 (step @p393 :rule cnf_and_pos :args (@t476 2)) % 127.25/129.29 (step @p394 :rule reordering :premises (@p393) :args ((or @t464 @t478))) % 127.25/129.29 (step @p395 :rule chain_m_resolution :premises (@p394 @p366) :args (@t464 @t479 @t480)) % 127.25/129.29 (step @p396 :rule instantiate :premises (@p395) :args (@t491)) % 127.25/129.29 (step @p397 :rule cnf_or_neg :args (@t458 2)) % 127.25/129.29 (step @p398 :rule chain_m_resolution :premises (@p397 @p356) :args ((not @t455) @t432 @t459)) % 127.25/129.29 (step @p399 :rule skolemize :premises (@p398)) % 127.25/129.29 (step @p400 :rule bool-double-not-elim :args (@t492)) % 127.25/129.29 (step @p401 :rule refl :args (@t496)) % 127.25/129.29 (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or @t496 (not @t493)))) % 127.25/129.29 (step @p403 :rule cnf_or_neg :args (@t496 1)) % 127.25/129.29 (step @p404 :rule eq_resolve :premises (@p403 @p402)) % 127.25/129.29 (step @p405 :rule reordering :premises (@p404) :args ((or @t492 @t496))) % 127.25/129.29 (step @p406 :rule chain_m_resolution :premises (@p405 @p399) :args (@t492 @t432 @t497)) % 127.25/129.29 (step @p407 :rule alpha_equiv :args (@t492 @t391 (@list @t83))) % 127.25/129.29 (step @p408 :rule equiv_elim1 :premises (@p407)) % 127.25/129.29 (step @p409 :rule chain_m_resolution :premises (@p408 @p406) :args (@t498 @t479 (@list @t492))) % 127.25/129.29 (step @p410 :rule bool-double-not-elim :args (@t494)) % 127.25/129.29 (step @p411 :rule nary_cong :premises (@p401 @p410) :args ((or @t496 (not @t495)))) % 127.25/129.29 (step @p412 :rule cnf_or_neg :args (@t496 0)) % 127.25/129.29 (step @p413 :rule eq_resolve :premises (@p412 @p411)) % 127.25/129.29 (step @p414 :rule reordering :premises (@p413) :args ((or @t494 @t496))) % 127.25/129.29 (step @p415 :rule chain_m_resolution :premises (@p414 @p399) :args (@t494 @t432 @t497)) % 127.25/129.29 (step @p416 :rule cnf_or_pos :args (@t501)) % 127.25/129.29 (step @p417 :rule reordering :premises (@p416) :args ((or @t495 @t500 @t499 (not @t501)))) % 127.25/129.29 (step @p418 :rule chain_m_resolution :premises (@p417 @p415 @p409 @p396) :args (@t500 (@list false false false) (@list @t494 @t498 @t501))) % 127.25/129.29 (step @p419 :rule instantiate :premises (@p418) :args ((@list @t486))) % 127.25/129.29 (step @p420 :rule cnf_or_pos :args (@t503)) % 127.25/129.29 (step @p421 :rule reordering :premises (@p420) :args ((or @t489 @t502 (not @t503)))) % 127.25/129.29 (step @p422 :rule alpha_equiv :args (@t488 @t358 @t414)) % 127.25/129.29 (step @p423 :rule equiv_elim2 :premises (@p422)) % 127.25/129.29 (step @p424 :rule chain_m_resolution :premises (@p423 @p421 @p419 @p392 @p391) :args (@t490 (@list false false true false) (@list @t502 @t503 @t488 @t487))) % 127.25/129.29 (step @p425 :rule refl :args (@t504)) % 127.25/129.29 (step @p426 :rule bool-double-not-elim :args (@t485)) % 127.25/129.29 (step @p427 :rule nary_cong :premises (@p426 @p425) :args ((or (not @t505) @t504))) % 127.25/129.29 (assume-push @p546 @t505) % 127.25/129.29 (step @p429 :rule skolemize :premises (@p546)) % 127.25/129.29 (step-pop @p547 :rule scope :premises (@p429)) % 127.25/129.29 (step @p430 :rule process_scope :premises (@p547) :args (@t504)) % 127.25/129.29 (step @p432 :rule implies_elim :premises (@p430)) % 127.25/129.29 (step @p433 :rule eq_resolve :premises (@p432 @p427)) % 127.25/129.29 (step @p434 :rule chain_m_resolution :premises (@p433 @p424) :args (@t485 @t479 (@list @t490))) % 127.25/129.29 (step @p435 :rule alpha_equiv :args (@t485 @t506 (@list @t286 @t132))) % 127.25/129.29 (step @p436 :rule equiv_elim1 :premises (@p435)) % 127.25/129.29 (step @p437 :rule chain_m_resolution :premises (@p436 @p434) :args (@t507 @t479 (@list @t485))) % 127.25/129.29 (step @p438 :rule cnf_or_pos :args (@t509)) % 127.25/129.29 (step @p439 :rule reordering :premises (@p438) :args ((or @t495 @t508 @t510))) % 127.25/129.29 (step @p440 :rule chain_m_resolution :premises (@p439 @p415 @p437) :args (@t510 @t442 (@list @t494 @t507))) % 127.25/129.29 (assume-push @p548 @t472) % 127.25/129.29 (step @p442 :rule instantiate :premises (@p548) :args (@t491)) % 127.25/129.29 (step-pop @p549 :rule scope :premises (@p442)) % 127.25/129.29 (step @p443 :rule process_scope :premises (@p549) :args (@t509)) % 127.25/129.29 (step @p445 :rule implies_elim :premises (@p443)) % 127.25/129.29 (step @p446 :rule chain_m_resolution :premises (@p445 @p440) :args ((not @t472) @t432 (@list @t509))) % 127.25/129.29 (step @p447 :rule cnf_and_pos :args (@t476 1)) % 127.25/129.29 (step @p448 :rule reordering :premises (@p447) :args ((or @t469 @t478))) % 127.25/129.29 (step @p449 :rule chain_m_resolution :premises (@p448 @p366) :args (@t469 @t479 @t480)) % 127.25/129.29 (step @p450 :rule alpha_equiv :args (@t453 @t481 (@list @t95 @t262 @t264))) % 127.25/129.29 (step @p451 :rule equiv_elim1 :premises (@p450)) % 127.25/129.29 (step @p452 :rule chain_m_resolution :premises (@p451 @p375) :args (@t465 @t479 @t482)) % 127.25/129.29 (step @p453 :rule alpha_equiv :args (@t455 (@list @t225 @t227) (@list @t106 @t268))) % 127.25/129.29 (step @p454 :rule equiv_elim2 :premises (@p453)) % 127.25/129.29 (step @p455 :rule chain_m_resolution :premises (@p454 @p398) :args ((not @t467) @t432 (@list @t455))) % 127.25/129.29 (step @p456 :rule cnf_or_pos :args (@t469)) % 127.25/129.29 (step @p457 :rule reordering :premises (@p456) :args ((or @t468 @t467 @t466 (not @t469)))) % 127.25/129.29 (step @p458 :rule chain_m_resolution :premises (@p457 @p455 @p452 @p449) :args (@t468 (@list true false false) (@list @t467 @t465 @t469))) % 127.25/129.29 (step @p459 :rule cnf_or_neg :args (@t458 1)) % 127.25/129.29 (step @p460 :rule chain_m_resolution :premises (@p459 @p356) :args ((not @t456) @t432 @t459)) % 127.25/129.29 (step @p461 :rule alpha_equiv :args (@t456 @t387 @t408)) % 127.25/129.29 (step @p462 :rule equiv_elim2 :premises (@p461)) % 127.25/129.29 (step @p463 :rule chain_m_resolution :premises (@p462 @p460) :args ((not @t474) @t432 (@list @t456))) % 127.25/129.29 (step @p464 :rule cnf_or_pos :args (@t475)) % 127.25/129.29 (step @p465 :rule reordering :premises (@p464) :args ((or @t474 @t473 @t472 @t471 (not @t475)))) % 127.25/129.29 (step @p466 :rule chain_m_resolution :premises (@p465 @p463 @p458 @p446 @p385) :args (@t471 (@list true false true false) (@list @t474 @t468 @t472 @t475))) % 127.25/129.29 (step @p467 :rule refl :args (@t517)) % 127.25/129.29 (step @p468 :rule bool-double-not-elim :args (@t470)) % 127.25/129.29 (step @p469 :rule nary_cong :premises (@p468 @p467) :args ((or (not @t471) @t517))) % 127.25/129.29 (assume-push @p550 @t471) % 127.25/129.29 (step @p471 :rule skolemize :premises (@p550)) % 127.25/129.29 (step-pop @p551 :rule scope :premises (@p471)) % 127.25/129.29 (step @p472 :rule process_scope :premises (@p551) :args (@t517)) % 127.25/129.29 (step @p474 :rule implies_elim :premises (@p472)) % 127.25/129.29 (step @p475 :rule eq_resolve :premises (@p474 @p469)) % 127.25/129.29 (step @p476 :rule chain_m_resolution :premises (@p475 @p466) :args (@t517 @t432 (@list @t470))) % 127.25/129.29 (step @p477 :rule bool-double-not-elim :args (@t514)) % 127.25/129.29 (step @p478 :rule refl :args (@t516)) % 127.25/129.29 (step @p479 :rule nary_cong :premises (@p478 @p477) :args ((or @t516 (not @t515)))) % 127.25/129.29 (step @p480 :rule cnf_or_neg :args (@t516 0)) % 127.25/129.29 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 127.25/129.29 (step @p482 :rule reordering :premises (@p481) :args ((or @t514 @t516))) % 127.25/129.29 (step @p483 :rule chain_m_resolution :premises (@p482 @p476) :args (@t514 @t432 @t518)) % 127.25/129.29 (step @p484 :rule cnf_or_pos :args (@t520)) % 127.25/129.29 (step @p485 :rule reordering :premises (@p484) :args ((or @t515 @t519 (not @t520)))) % 127.25/129.29 (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p382) :args (@t519 @t442 (@list @t514 @t520))) % 127.25/129.29 (step @p487 :rule alpha_equiv :args (@t521 (@list @t169 @t171 @t175) (@list @t249 @t69 @t72))) % 127.25/129.29 (step @p488 :rule equiv_elim2 :premises (@p487)) % 127.25/129.29 (step @p489 :rule chain_m_resolution :premises (@p488 @p486) :args (@t521 @t479 (@list @t519))) % 127.25/129.29 (step @p490 :rule bool-double-not-elim :args (@t511)) % 127.25/129.29 (step @p491 :rule nary_cong :premises (@p478 @p490) :args ((or @t516 (not @t512)))) % 127.25/129.29 (step @p492 :rule cnf_or_neg :args (@t516 3)) % 127.25/129.29 (step @p493 :rule eq_resolve :premises (@p492 @p491)) % 127.25/129.29 (step @p494 :rule reordering :premises (@p493) :args ((or @t511 @t516))) % 127.25/129.29 (step @p495 :rule chain_m_resolution :premises (@p494 @p476) :args (@t511 @t432 @t518)) % 127.25/129.29 (assume-push @p552 @t511) % 127.25/129.29 (step @p497 :rule instantiate :premises (@p552) :args (@t523)) % 127.25/129.29 (step-pop @p553 :rule scope :premises (@p497)) % 127.25/129.29 (step @p498 :rule process_scope :premises (@p553) :args (@t529)) % 127.25/129.29 (step @p500 :rule implies_elim :premises (@p498)) % 127.25/129.29 (step @p501 :rule chain_m_resolution :premises (@p500 @p495) :args (@t529 @t479 (@list @t511))) % 127.25/129.29 (step @p502 :rule cnf_or_neg :args (@t516 1)) % 127.25/129.29 (step @p503 :rule chain_m_resolution :premises (@p502 @p476) :args (@t530 @t432 @t518)) % 127.25/129.29 (step @p504 :rule refl :args (@t532)) % 127.25/129.29 (step @p505 :rule bool-double-not-elim :args (@t513)) % 127.25/129.29 (step @p506 :rule nary_cong :premises (@p505 @p504) :args ((or (not @t530) @t532))) % 127.25/129.29 (assume-push @p554 @t530) % 127.25/129.29 (step @p508 :rule skolemize :premises (@p554)) % 127.25/129.29 (step-pop @p555 :rule scope :premises (@p508)) % 127.25/129.29 (step @p509 :rule process_scope :premises (@p555) :args (@t532)) % 127.25/129.29 (step @p511 :rule implies_elim :premises (@p509)) % 127.25/129.29 (step @p512 :rule eq_resolve :premises (@p511 @p506)) % 127.25/129.29 (step @p513 :rule chain_m_resolution :premises (@p512 @p503) :args (@t532 @t432 (@list @t513))) % 127.25/129.29 (step @p514 :rule cnf_or_neg :args (@t531 1)) % 127.25/129.29 (step @p515 :rule chain_m_resolution :premises (@p514 @p513) :args ((not @t524) @t432 @t533)) % 127.25/129.29 (step @p516 :rule cnf_and_pos :args (@t525 1)) % 127.25/129.29 (step @p517 :rule reordering :premises (@p516) :args ((or @t524 @t534))) % 127.25/129.29 (step @p518 :rule chain_m_resolution :premises (@p517 @p515) :args (@t534 @t432 (@list @t524))) % 127.25/129.29 (step @p519 :rule bool-double-not-elim :args (@t527)) % 127.25/129.29 (step @p520 :rule refl :args (@t531)) % 127.25/129.29 (step @p521 :rule nary_cong :premises (@p520 @p519) :args ((or @t531 (not @t528)))) % 127.25/129.29 (step @p522 :rule cnf_or_neg :args (@t531 0)) % 127.25/129.29 (step @p523 :rule eq_resolve :premises (@p522 @p521)) % 127.25/129.29 (step @p524 :rule reordering :premises (@p523) :args ((or @t527 @t531))) % 127.25/129.29 (step @p525 :rule chain_m_resolution :premises (@p524 @p513) :args (@t527 @t432 @t533)) % 127.25/129.29 (step @p526 :rule cnf_or_pos :args (@t529)) % 127.25/129.29 (step @p527 :rule reordering :premises (@p526) :args ((or @t528 @t526 @t525 (not @t529)))) % 127.25/129.29 (step @p528 :rule chain_m_resolution :premises (@p527 @p525 @p518 @p501) :args (@t526 @t535 (@list @t527 @t525 @t529))) % 127.25/129.29 (step @p529 :rule alpha_equiv :args (@t536 @t506 (@list @t116 @t276))) % 127.25/129.29 (step @p530 :rule equiv_elim2 :premises (@p529)) % 127.25/129.29 (step @p531 :rule chain_m_resolution :premises (@p530 @p528) :args (@t536 @t479 (@list @t526))) % 127.25/129.29 (step @p532 :rule alpha_equiv :args ((forall (@list @t537) (or (not (tptp.r1 @t522 @t537)) (forall (@list @t538) (or (not (tptp.r1 @t537 @t538)) (tptp.p1 @t538))) (not (tptp.p1 @t537)))) @t539 (@list @t171 @t169))) % 127.25/129.29 (step @p533 :rule alpha_equiv :args (@t536 @t506 @t539)) % 127.25/129.29 (step @p534 :rule trans :premises (@p533 @p532)) % 127.25/129.29 (step @p535 :rule equiv_elim1 :premises (@p534)) % 127.25/129.29 (step @p536 :rule chain_m_resolution :premises (@p535 @p531) :args (@t540 @t479 (@list @t536))) % 127.25/129.29 (step @p537 :rule cnf_or_pos :args (@t542)) % 127.25/129.29 (step @p538 :rule reordering :premises (@p537) :args ((or @t528 @t524 @t541 @t543))) % 127.25/129.29 (step @p539 :rule chain_m_resolution :premises (@p538 @p525 @p515 @p536) :args (@t543 @t535 (@list @t527 @t524 @t540))) % 127.25/129.29 (assume-push @p556 @t521) % 127.25/129.29 (step @p541 :rule instantiate :premises (@p556) :args (@t523)) % 127.25/129.29 (step-pop @p557 :rule scope :premises (@p541)) % 127.25/129.29 (step @p542 :rule process_scope :premises (@p557) :args (@t542)) % 127.25/129.29 (step @p544 :rule implies_elim :premises (@p542)) % 127.25/129.29 (step @p545 false :rule chain_m_resolution :premises (@p544 @p539 @p489) :args (false (@list true false) (@list @t542 @t521))) % 127.25/129.29 ) % 127.25/129.29 % SZS output end Proof % 127.25/129.29 % cvc5 exiting %------------------------------------------------------------------------------