%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL652+1.001 : 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 : 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 11:23:20 AM UTC 2026 % Result : Theorem 127.74s 130.49s % Output : Proof 126.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL652+1.001 : 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 % 0.11/0.37 % Computer : n003.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Sat Sep 5 12:50:36 UTC 2026 % 0.11/0.37 % CPUTime : % 0.11/0.44 %----Proving TF0_NAR, FOF, or CNF % 127.74/130.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 127.74/130.49 --- Run --no-e-matching --full-saturate-quant at 6... % 127.74/130.49 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 127.74/130.49 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 127.74/130.49 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 127.74/130.49 --- Run --trigger-sel=max --full-saturate-quant at 15... % 127.74/130.49 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 127.74/130.49 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 127.74/130.49 --- Run --prenex-quant=none --full-saturate-quant at 30... % 127.74/130.49 % SZS status Theorem % 127.74/130.49 % SZS output start Proof % 127.74/130.49 ( % 127.74/130.49 (declare-sort $$unsorted 0) % 127.74/130.49 (declare-const tptp.p4 (-> $$unsorted Bool)) % 127.74/130.49 (declare-const tptp.p3 (-> $$unsorted Bool)) % 127.74/130.49 (declare-const tptp.p2 (-> $$unsorted Bool)) % 127.74/130.49 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 127.74/130.49 (declare-const tptp.p1 (-> $$unsorted Bool)) % 127.74/130.49 (define @t1 () (@var "X" $$unsorted)) % 127.74/130.49 (define @t2 () (tptp.p1 @t1)) % 127.74/130.49 (define @t3 () (@var "Y" $$unsorted)) % 127.74/130.49 (define @t4 () (not (tptp.r1 @t3 @t1))) % 127.74/130.49 (define @t5 () (@list @t1)) % 127.74/130.49 (define @t6 () (forall @t5 (or @t4 (not @t2)))) % 127.74/130.49 (define @t7 () (not @t6)) % 127.74/130.49 (define @t8 () (tptp.p1 @t3)) % 127.74/130.49 (define @t9 () (not (tptp.r1 @t1 @t3))) % 127.74/130.49 (define @t10 () (@list @t3)) % 127.74/130.49 (define @t11 () (forall @t10 (or @t9 (not @t8)))) % 127.74/130.49 (define @t12 () (or @t4 @t11)) % 127.74/130.49 (define @t13 () (forall @t5 @t12)) % 127.74/130.49 (define @t14 () (or @t9 @t13 @t7)) % 127.74/130.49 (define @t15 () (forall @t10 @t14)) % 127.74/130.49 (define @t16 () (not @t15)) % 127.74/130.49 (define @t17 () (tptp.p2 @t3)) % 127.74/130.49 (define @t18 () (forall @t10 (or @t9 @t17))) % 127.74/130.49 (define @t19 () (not @t18)) % 127.74/130.49 (define @t20 () (or @t4 @t19)) % 127.74/130.49 (define @t21 () (forall @t5 @t20)) % 127.74/130.49 (define @t22 () (not @t21)) % 127.74/130.49 (define @t23 () (or @t9 @t22)) % 127.74/130.49 (define @t24 () (forall @t10 @t23)) % 127.74/130.49 (define @t25 () (forall @t5 (or @t4 @t2))) % 127.74/130.49 (define @t26 () (forall @t10 (or @t9 @t8))) % 127.74/130.49 (define @t27 () (not @t26)) % 127.74/130.49 (define @t28 () (or @t4 @t27)) % 127.74/130.49 (define @t29 () (forall @t5 @t28)) % 127.74/130.49 (define @t30 () (or @t9 @t29 @t25)) % 127.74/130.49 (define @t31 () (forall @t10 @t30)) % 127.74/130.49 (define @t32 () (or @t4 @t26)) % 127.74/130.49 (define @t33 () (forall @t5 @t32)) % 127.74/130.49 (define @t34 () (not @t33)) % 127.74/130.49 (define @t35 () (and @t34 @t25)) % 127.74/130.49 (define @t36 () (not @t35)) % 127.74/130.49 (define @t37 () (or @t9 @t36)) % 127.74/130.49 (define @t38 () (forall @t10 @t37)) % 127.74/130.49 (define @t39 () (not @t38)) % 127.74/130.49 (define @t40 () (not @t17)) % 127.74/130.49 (define @t41 () (forall @t10 (or @t9 @t40))) % 127.74/130.49 (define @t42 () (not @t41)) % 127.74/130.49 (define @t43 () (or @t4 @t42)) % 127.74/130.49 (define @t44 () (forall @t5 @t43)) % 127.74/130.49 (define @t45 () (tptp.p2 @t1)) % 127.74/130.49 (define @t46 () (not @t45)) % 127.74/130.49 (define @t47 () (forall @t10 (or @t9 (tptp.p3 @t3)))) % 127.74/130.49 (define @t48 () (or @t4 @t47 @t46)) % 127.74/130.49 (define @t49 () (forall @t5 @t48)) % 127.74/130.49 (define @t50 () (and @t49 @t44)) % 127.74/130.49 (define @t51 () (forall @t5 (or @t4 (tptp.p3 @t1)))) % 127.74/130.49 (define @t52 () (or @t9 @t51 @t40)) % 127.74/130.49 (define @t53 () (forall @t10 @t52)) % 127.74/130.49 (define @t54 () (not @t53)) % 127.74/130.49 (define @t55 () (or @t4 @t54)) % 127.74/130.49 (define @t56 () (forall @t5 @t55)) % 127.74/130.49 (define @t57 () (not @t56)) % 127.74/130.49 (define @t58 () (or @t9 @t57)) % 127.74/130.49 (define @t59 () (forall @t10 @t58)) % 127.74/130.49 (define @t60 () (forall @t5 (or @t4 @t46))) % 127.74/130.49 (define @t61 () (not @t60)) % 127.74/130.49 (define @t62 () (or @t9 @t61)) % 127.74/130.49 (define @t63 () (forall @t10 @t62)) % 127.74/130.50 (define @t64 () (and @t63 @t59)) % 127.74/130.50 (define @t65 () (not @t64)) % 127.74/130.50 (define @t66 () (or @t4 @t65)) % 127.74/130.50 (define @t67 () (forall @t5 @t66)) % 127.74/130.50 (define @t68 () (not @t67)) % 127.74/130.50 (define @t69 () (not @t49)) % 127.74/130.50 (define @t70 () (or @t9 @t69)) % 127.74/130.50 (define @t71 () (forall @t10 @t70)) % 127.74/130.50 (define @t72 () (or @t4 @t71)) % 127.74/130.50 (define @t73 () (forall @t5 @t72)) % 127.74/130.50 (define @t74 () (not @t73)) % 127.74/130.50 (define @t75 () (and @t74 @t44)) % 127.74/130.50 (define @t76 () (not @t44)) % 127.74/130.50 (define @t77 () (or @t9 @t76)) % 127.74/130.50 (define @t78 () (forall @t10 @t77)) % 127.74/130.50 (define @t79 () (not @t78)) % 127.74/130.50 (define @t80 () (or @t9 (not (or @t51 @t40)))) % 127.74/130.50 (define @t81 () (forall @t10 @t80)) % 127.74/130.50 (define @t82 () (not @t81)) % 127.74/130.50 (define @t83 () (and @t82 @t45 @t79)) % 127.74/130.50 (define @t84 () (not @t83)) % 127.74/130.50 (define @t85 () (or @t4 @t84)) % 127.74/130.50 (define @t86 () (forall @t5 @t85)) % 127.74/130.50 (define @t87 () (not @t86)) % 127.74/130.50 (define @t88 () (or @t57 @t87 @t75 @t68 @t50)) % 127.74/130.50 (define @t89 () (not @t88)) % 127.74/130.50 (define @t90 () (or @t9 @t89)) % 127.74/130.50 (define @t91 () (forall @t10 @t90)) % 127.74/130.50 (define @t92 () (not @t91)) % 127.74/130.50 (define @t93 () (not @t11)) % 127.74/130.50 (define @t94 () (or @t4 @t93)) % 127.74/130.50 (define @t95 () (forall @t5 @t94)) % 127.74/130.50 (define @t96 () (or @t9 @t7)) % 127.74/130.50 (define @t97 () (forall @t10 @t96)) % 127.74/130.50 (define @t98 () (or @t4 @t97)) % 127.74/130.50 (define @t99 () (forall @t5 @t98)) % 127.74/130.50 (define @t100 () (not @t99)) % 127.74/130.50 (define @t101 () (and @t100 @t95)) % 127.74/130.50 (define @t102 () (not @t101)) % 127.74/130.50 (define @t103 () (or @t9 @t102)) % 127.74/130.50 (define @t104 () (forall @t10 @t103)) % 127.74/130.50 (define @t105 () (not @t104)) % 127.74/130.50 (define @t106 () (not (tptp.p4 @t3))) % 127.74/130.50 (define @t107 () (not (forall @t10 (or @t9 @t106)))) % 127.74/130.50 (define @t108 () (or @t107 @t105 @t92 @t39 @t31 @t24 @t16)) % 127.74/130.50 (define @t109 () (not @t108)) % 127.74/130.50 (define @t110 () (exists @t5 @t109)) % 127.74/130.50 (define @t111 () (@list @t1)) % 127.74/130.50 (define @t112 () (@var "BOUND_VARIABLE_7974" $$unsorted)) % 127.74/130.50 (define @t113 () (@var "BOUND_VARIABLE_7953" $$unsorted)) % 127.74/130.50 (define @t114 () (not (tptp.p1 @t113))) % 127.74/130.50 (define @t115 () (@list @t113)) % 127.74/130.50 (define @t116 () (forall @t5 (or @t4 (forall @t115 (or (not (tptp.r1 @t1 @t113)) @t114))))) % 127.74/130.50 (define @t117 () (@var "BOUND_VARIABLE_7984" $$unsorted)) % 127.74/130.50 (define @t118 () (or @t9 @t116 @t7)) % 127.74/130.50 (define @t119 () (forall @t10 @t118)) % 127.74/130.50 (define @t120 () (not @t119)) % 127.74/130.50 (define @t121 () (@var "BOUND_VARIABLE_7939" $$unsorted)) % 127.74/130.50 (define @t122 () (tptp.p2 @t121)) % 127.74/130.50 (define @t123 () (@list @t121)) % 127.74/130.50 (define @t124 () (forall @t5 (or @t4 (not (forall @t123 (or (not (tptp.r1 @t1 @t121)) @t122)))))) % 127.74/130.50 (define @t125 () (@var "BOUND_VARIABLE_7998" $$unsorted)) % 127.74/130.50 (define @t126 () (not @t124)) % 127.74/130.50 (define @t127 () (or @t9 @t126)) % 127.74/130.50 (define @t128 () (forall @t10 @t127)) % 127.74/130.50 (define @t129 () (@var "BOUND_VARIABLE_8013" $$unsorted)) % 127.74/130.50 (define @t130 () (@var "BOUND_VARIABLE_7926" $$unsorted)) % 127.74/130.50 (define @t131 () (tptp.p1 @t130)) % 127.74/130.50 (define @t132 () (@list @t130)) % 127.74/130.50 (define @t133 () (forall @t5 (or @t4 (not (forall @t132 (or (not (tptp.r1 @t1 @t130)) @t131)))))) % 127.74/130.50 (define @t134 () (@var "BOUND_VARIABLE_8021" $$unsorted)) % 127.74/130.50 (define @t135 () (or @t9 @t133 @t25)) % 127.74/130.50 (define @t136 () (forall @t10 @t135)) % 127.74/130.50 (define @t137 () (not @t25)) % 127.74/130.50 (define @t138 () (@var "BOUND_VARIABLE_7906" $$unsorted)) % 127.74/130.50 (define @t139 () (tptp.p1 @t138)) % 127.74/130.50 (define @t140 () (@list @t138)) % 127.74/130.50 (define @t141 () (forall @t5 (or @t4 (forall @t140 (or (not (tptp.r1 @t1 @t138)) @t139))))) % 127.74/130.50 (define @t142 () (@var "BOUND_VARIABLE_8036" $$unsorted)) % 127.74/130.50 (define @t143 () (or @t9 @t141 @t137)) % 127.74/130.50 (define @t144 () (forall @t10 @t143)) % 127.74/130.50 (define @t145 () (not @t144)) % 127.74/130.50 (define @t146 () (@var "BOUND_VARIABLE_7778" $$unsorted)) % 127.74/130.50 (define @t147 () (not (tptp.p2 @t146))) % 127.74/130.50 (define @t148 () (@list @t146)) % 127.74/130.50 (define @t149 () (forall @t5 (or @t4 (not (forall @t148 (or (not (tptp.r1 @t1 @t146)) @t147)))))) % 127.74/130.50 (define @t150 () (@var "BOUND_VARIABLE_8050" $$unsorted)) % 127.74/130.50 (define @t151 () (not @t149)) % 127.74/130.50 (define @t152 () (@var "BOUND_VARIABLE_7790" $$unsorted)) % 127.74/130.50 (define @t153 () (tptp.p3 @t152)) % 127.74/130.50 (define @t154 () (@list @t152)) % 127.74/130.50 (define @t155 () (forall @t5 (or @t4 (forall @t154 (or (not (tptp.r1 @t1 @t152)) @t153)) @t46))) % 127.74/130.50 (define @t156 () (@var "BOUND_VARIABLE_8063" $$unsorted)) % 127.74/130.50 (define @t157 () (not @t155)) % 127.74/130.50 (define @t158 () (or @t157 @t151)) % 127.74/130.50 (define @t159 () (@var "BOUND_VARIABLE_7714" $$unsorted)) % 127.74/130.50 (define @t160 () (not (tptp.p2 @t159))) % 127.74/130.50 (define @t161 () (@var "BOUND_VARIABLE_7601" $$unsorted)) % 127.74/130.50 (define @t162 () (tptp.p3 @t161)) % 127.74/130.50 (define @t163 () (@list @t161)) % 127.74/130.50 (define @t164 () (forall @t163 (or (not (tptp.r1 @t159 @t161)) @t162))) % 127.74/130.50 (define @t165 () (@var "BOUND_VARIABLE_7737" $$unsorted)) % 127.74/130.50 (define @t166 () (@list @t159)) % 127.74/130.50 (define @t167 () (not (forall @t166 (or (not (tptp.r1 @t165 @t159)) @t164 @t160)))) % 127.74/130.50 (define @t168 () (@var "BOUND_VARIABLE_7801" $$unsorted)) % 127.74/130.50 (define @t169 () (@list @t165)) % 127.74/130.50 (define @t170 () (not (forall @t169 (or (not (tptp.r1 @t168 @t165)) @t167)))) % 127.74/130.50 (define @t171 () (@list @t168)) % 127.74/130.50 (define @t172 () (@var "BOUND_VARIABLE_7752" $$unsorted)) % 127.74/130.50 (define @t173 () (not (tptp.p2 @t172))) % 127.74/130.50 (define @t174 () (@var "BOUND_VARIABLE_7814" $$unsorted)) % 127.74/130.50 (define @t175 () (@list @t172)) % 127.74/130.50 (define @t176 () (not (forall @t175 (or (not (tptp.r1 @t174 @t172)) @t173)))) % 127.74/130.50 (define @t177 () (@list @t174)) % 127.74/130.50 (define @t178 () (forall @t5 (or @t4 (not (forall @t177 (or (not (tptp.r1 @t1 @t174)) @t176))) (not (forall @t171 (or (not (tptp.r1 @t1 @t168)) @t170)))))) % 127.74/130.50 (define @t179 () (@var "BOUND_VARIABLE_8078" $$unsorted)) % 127.74/130.50 (define @t180 () (@var "BOUND_VARIABLE_7692" $$unsorted)) % 127.74/130.50 (define @t181 () (not (tptp.p2 @t180))) % 127.74/130.50 (define @t182 () (@var "BOUND_VARIABLE_7677" $$unsorted)) % 127.74/130.50 (define @t183 () (tptp.p3 @t182)) % 127.74/130.50 (define @t184 () (@list @t182)) % 127.74/130.50 (define @t185 () (forall @t184 (or (not (tptp.r1 @t180 @t182)) @t183))) % 127.74/130.50 (define @t186 () (@var "BOUND_VARIABLE_7830" $$unsorted)) % 127.74/130.50 (define @t187 () (@list @t180)) % 127.74/130.50 (define @t188 () (not (forall @t187 (or (not (tptp.r1 @t186 @t180)) @t185 @t181)))) % 127.74/130.50 (define @t189 () (@list @t186)) % 127.74/130.50 (define @t190 () (forall @t5 (or @t4 (forall @t189 (or (not (tptp.r1 @t1 @t186)) @t188))))) % 127.74/130.50 (define @t191 () (@var "BOUND_VARIABLE_8095" $$unsorted)) % 127.74/130.50 (define @t192 () (or @t190 @t151)) % 127.74/130.50 (define @t193 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 127.74/130.50 (define @t194 () (not (tptp.p2 @t193))) % 127.74/130.50 (define @t195 () (@var "BOUND_VARIABLE_7640" $$unsorted)) % 127.74/130.50 (define @t196 () (@list @t193)) % 127.74/130.50 (define @t197 () (not (forall @t196 (or (not (tptp.r1 @t195 @t193)) @t194)))) % 127.74/130.50 (define @t198 () (@var "BOUND_VARIABLE_7846" $$unsorted)) % 127.74/130.50 (define @t199 () (@list @t195)) % 127.74/130.50 (define @t200 () (not (forall @t199 (or (not (tptp.r1 @t198 @t195)) @t197)))) % 127.74/130.50 (define @t201 () (@list @t198)) % 127.74/130.50 (define @t202 () (@var "BOUND_VARIABLE_7858" $$unsorted)) % 127.74/130.50 (define @t203 () (@var "BOUND_VARIABLE_7656" $$unsorted)) % 127.74/130.50 (define @t204 () (tptp.p3 @t203)) % 127.74/130.50 (define @t205 () (@list @t203)) % 127.74/130.50 (define @t206 () (and (not (forall @t205 (or (not (tptp.r1 @t202 @t203)) @t204))) (tptp.p2 @t202))) % 127.74/130.50 (define @t207 () (@list @t202)) % 127.74/130.50 (define @t208 () (forall @t5 (or @t4 (forall @t207 (or (not (tptp.r1 @t1 @t202)) @t206)) @t46 (forall @t201 (or (not (tptp.r1 @t1 @t198)) @t200))))) % 127.74/130.50 (define @t209 () (@var "BOUND_VARIABLE_8107" $$unsorted)) % 127.74/130.50 (define @t210 () (@var "BOUND_VARIABLE_7875" $$unsorted)) % 127.74/130.50 (define @t211 () (not (tptp.p2 @t210))) % 127.74/130.50 (define @t212 () (forall @t163 (or (not (tptp.r1 @t210 @t161)) @t162))) % 127.74/130.50 (define @t213 () (@list @t210)) % 127.74/130.50 (define @t214 () (forall @t5 (or @t4 (not (forall @t213 (or (not (tptp.r1 @t1 @t210)) @t212 @t211)))))) % 127.74/130.50 (define @t215 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 127.74/130.50 (define @t216 () (and @t214 @t208 @t192 @t178 @t158)) % 127.74/130.50 (define @t217 () (or @t9 @t216)) % 127.74/130.50 (define @t218 () (forall @t10 @t217)) % 127.74/130.50 (define @t219 () (not @t218)) % 127.74/130.50 (define @t220 () (@var "BOUND_VARIABLE_7565" $$unsorted)) % 127.74/130.50 (define @t221 () (not (tptp.p1 @t220))) % 127.74/130.50 (define @t222 () (@list @t220)) % 127.74/130.50 (define @t223 () (forall @t5 (or @t4 (not (forall @t222 (or (not (tptp.r1 @t1 @t220)) @t221)))))) % 127.74/130.50 (define @t224 () (@var "BOUND_VARIABLE_8140" $$unsorted)) % 127.74/130.50 (define @t225 () (not @t223)) % 127.74/130.50 (define @t226 () (@var "BOUND_VARIABLE_7546" $$unsorted)) % 127.74/130.50 (define @t227 () (not (tptp.p1 @t226))) % 127.74/130.50 (define @t228 () (@var "BOUND_VARIABLE_7577" $$unsorted)) % 127.74/130.50 (define @t229 () (@list @t226)) % 127.74/130.50 (define @t230 () (not (forall @t229 (or (not (tptp.r1 @t228 @t226)) @t227)))) % 127.74/130.50 (define @t231 () (@list @t228)) % 127.74/130.50 (define @t232 () (forall @t5 (or @t4 (forall @t231 (or (not (tptp.r1 @t1 @t228)) @t230))))) % 127.74/130.50 (define @t233 () (@var "BOUND_VARIABLE_8153" $$unsorted)) % 127.74/130.50 (define @t234 () (or @t9 @t232 @t225)) % 127.74/130.50 (define @t235 () (forall @t10 @t234)) % 127.74/130.50 (define @t236 () (not @t235)) % 127.74/130.50 (define @t237 () (or @t107 @t236 @t219 @t145 @t136 @t128 @t120)) % 127.74/130.50 (define @t238 () (not @t237)) % 127.74/130.50 (define @t239 () (forall @t5 (not @t238))) % 127.74/130.50 (define @t240 () (not @t239)) % 127.74/130.50 (define @t241 () (@list @t3)) % 127.74/130.50 (define @t242 () (not @t141)) % 127.74/130.50 (define @t243 () (or @t9 (not (and @t242 @t25)))) % 127.74/130.50 (define @t244 () (not @t190)) % 127.74/130.50 (define @t245 () (and @t155 @t149)) % 127.74/130.50 (define @t246 () (not @t245)) % 127.74/130.50 (define @t247 () (and @t244 @t149)) % 127.74/130.50 (define @t248 () (not @t247)) % 127.74/130.50 (define @t249 () (not @t178)) % 127.74/130.50 (define @t250 () (not @t249)) % 127.74/130.50 (define @t251 () (not @t208)) % 127.74/130.50 (define @t252 () (not @t251)) % 127.74/130.50 (define @t253 () (not @t214)) % 127.74/130.50 (define @t254 () (not @t253)) % 127.74/130.50 (define @t255 () (and @t254 @t252 @t248 @t250 @t246)) % 127.74/130.50 (define @t256 () (or @t9 (not (or @t253 @t251 @t247 @t249 @t245)))) % 127.74/130.50 (define @t257 () (forall @t10 (or @t9 (not (forall @t169 (or (not (tptp.r1 @t3 @t165)) @t167)))))) % 127.74/130.50 (define @t258 () (not @t257)) % 127.74/130.50 (define @t259 () (forall @t10 (or @t9 (not (forall @t175 (or (not (tptp.r1 @t3 @t172)) @t173)))))) % 127.74/130.50 (define @t260 () (not @t259)) % 127.74/130.50 (define @t261 () (or @t4 @t260 @t258)) % 127.74/130.50 (define @t262 () (forall @t5 @t261)) % 127.74/130.50 (define @t263 () (not @t262)) % 127.74/130.50 (define @t264 () (forall @t10 (or @t9 (not (forall @t187 (or (not (tptp.r1 @t3 @t180)) @t185 @t181)))))) % 127.74/130.50 (define @t265 () (or @t4 @t264)) % 127.74/130.50 (define @t266 () (forall @t5 @t265)) % 127.74/130.50 (define @t267 () (not @t266)) % 127.74/130.50 (define @t268 () (and @t267 @t44)) % 127.74/130.50 (define @t269 () (forall @t10 (or @t9 (not (forall @t199 (or (not (tptp.r1 @t3 @t195)) @t197)))))) % 127.74/130.50 (define @t270 () (forall @t10 (or @t9 (and (not (forall @t205 (or (not (tptp.r1 @t3 @t203)) @t204))) @t17)))) % 127.74/130.50 (define @t271 () (or @t4 @t270 @t46 @t269)) % 127.74/130.50 (define @t272 () (forall @t5 @t271)) % 127.74/130.50 (define @t273 () (not @t272)) % 127.74/130.50 (define @t274 () (forall @t10 (or @t9 (forall @t163 (or (not (tptp.r1 @t3 @t161)) @t162)) @t40))) % 127.74/130.50 (define @t275 () (not @t274)) % 127.74/130.50 (define @t276 () (or @t4 @t275)) % 127.74/130.50 (define @t277 () (forall @t5 @t276)) % 127.74/130.50 (define @t278 () (not @t277)) % 127.74/130.50 (define @t279 () (or @t278 @t273 @t268 @t263 @t50)) % 127.74/130.50 (define @t280 () (not @t279)) % 127.74/130.50 (define @t281 () (or @t9 @t280)) % 127.74/130.50 (define @t282 () (or @t4 (not (and @t259 @t257)))) % 127.74/130.50 (define @t283 () (forall @t5 (or @t4 (not (forall @t166 (or (not (tptp.r1 @t1 @t159)) @t164 @t160)))))) % 127.74/130.50 (define @t284 () (not @t283)) % 127.74/130.50 (define @t285 () (or @t9 @t284)) % 127.74/130.50 (define @t286 () (forall @t10 @t285)) % 127.74/130.50 (define @t287 () (and @t63 @t286)) % 127.74/130.50 (define @t288 () (not @t287)) % 127.74/130.50 (define @t289 () (or @t4 @t288)) % 127.74/130.50 (define @t290 () (or @t9 @t278)) % 127.74/130.50 (define @t291 () (forall @t5 (or @t4 (forall @t184 (or (not (tptp.r1 @t1 @t182)) @t183)) @t46))) % 127.74/130.50 (define @t292 () (not @t291)) % 127.74/130.50 (define @t293 () (or @t9 @t292)) % 127.74/130.50 (define @t294 () (forall @t10 @t293)) % 127.74/130.50 (define @t295 () (or @t4 @t294)) % 127.74/130.50 (define @t296 () (not @t269)) % 127.74/130.50 (define @t297 () (not @t296)) % 127.74/130.50 (define @t298 () (not @t270)) % 127.74/130.50 (define @t299 () (not @t298)) % 127.74/130.50 (define @t300 () (or @t299 @t46 @t297)) % 127.74/130.50 (define @t301 () (or @t4 (not (and @t298 @t45 @t296)))) % 127.74/130.50 (define @t302 () (forall @t5 (or @t4 (not (forall @t196 (or (not (tptp.r1 @t1 @t193)) @t194)))))) % 127.74/130.50 (define @t303 () (not @t302)) % 127.74/130.50 (define @t304 () (or @t9 @t303)) % 127.74/130.50 (define @t305 () (forall @t10 @t304)) % 127.74/130.50 (define @t306 () (not @t305)) % 127.74/130.50 (define @t307 () (not @t51)) % 127.74/130.50 (define @t308 () (and @t307 @t17)) % 127.74/130.50 (define @t309 () (or @t9 @t308)) % 127.74/130.50 (define @t310 () (forall @t10 @t309)) % 127.74/130.50 (define @t311 () (not @t310)) % 127.74/130.50 (define @t312 () (and @t311 @t45 @t306)) % 127.74/130.50 (define @t313 () (not @t312)) % 127.74/130.50 (define @t314 () (or @t4 @t313)) % 127.74/130.50 (define @t315 () (not @t232)) % 127.74/130.50 (define @t316 () (or @t9 (not (and @t315 @t223)))) % 127.74/130.50 (define @t317 () (forall @t10 (or @t9 (not (forall @t229 (or (not (tptp.r1 @t3 @t226)) @t227)))))) % 127.74/130.50 (define @t318 () (or @t4 @t317)) % 127.74/130.50 (define @t319 () (forall @t5 @t318)) % 127.74/130.50 (define @t320 () (not @t319)) % 127.74/130.50 (define @t321 () (and @t320 @t95)) % 127.74/130.50 (define @t322 () (not @t321)) % 127.74/130.50 (define @t323 () (or @t9 @t322)) % 127.74/130.50 (define @t324 () (not (forall @t148 (or (not (tptp.r1 @t150 @t146)) @t147)))) % 127.74/130.50 (define @t325 () (@list @t150)) % 127.74/130.50 (define @t326 () (not (forall @t325 (or (not (tptp.r1 @t3 @t150)) @t324)))) % 127.74/130.50 (define @t327 () (not (tptp.p2 @t156))) % 127.74/130.50 (define @t328 () (forall @t154 (or (not (tptp.r1 @t156 @t152)) @t153))) % 127.74/130.50 (define @t329 () (@list @t156)) % 127.74/130.50 (define @t330 () (not (forall @t171 (or (not (tptp.r1 @t179 @t168)) @t170)))) % 127.74/130.50 (define @t331 () (not (forall @t177 (or (not (tptp.r1 @t179 @t174)) @t176)))) % 127.74/130.50 (define @t332 () (@list @t179)) % 127.74/130.50 (define @t333 () (forall @t189 (or (not (tptp.r1 @t191 @t186)) @t188))) % 127.74/130.50 (define @t334 () (@list @t191)) % 127.74/130.50 (define @t335 () (forall @t201 (or (not (tptp.r1 @t209 @t198)) @t200))) % 127.74/130.50 (define @t336 () (not (tptp.p2 @t209))) % 127.74/130.50 (define @t337 () (forall @t207 (or (not (tptp.r1 @t209 @t202)) @t206))) % 127.74/130.50 (define @t338 () (@list @t209)) % 127.74/130.50 (define @t339 () (not (forall @t213 (or (not (tptp.r1 @t215 @t210)) @t212 @t211)))) % 127.74/130.50 (define @t340 () (@list @t215)) % 127.74/130.50 (define @t341 () (and (forall @t340 (or (not (tptp.r1 @t3 @t215)) @t339)) (forall @t338 (or (not (tptp.r1 @t3 @t209)) @t337 @t336 @t335)) (or (forall @t334 (or (not (tptp.r1 @t3 @t191)) @t333)) @t326) (forall @t332 (or (not (tptp.r1 @t3 @t179)) @t331 @t330)) (or (not (forall @t329 (or (not (tptp.r1 @t3 @t156)) @t328 @t327))) @t326))) % 127.74/130.50 (define @t342 () (not (forall (@list @t112) (or (not (tptp.r1 @t3 @t112)) (not (tptp.p1 @t112)))))) % 127.74/130.50 (define @t343 () (forall (@list @t117) (or (not (tptp.r1 @t3 @t117)) (forall @t115 (or (not (tptp.r1 @t117 @t113)) @t114))))) % 127.74/130.50 (define @t344 () (not (forall @t123 (or (not (tptp.r1 @t125 @t121)) @t122)))) % 127.74/130.50 (define @t345 () (@list @t125)) % 127.74/130.50 (define @t346 () (not (forall @t345 (or (not (tptp.r1 @t3 @t125)) @t344)))) % 127.74/130.50 (define @t347 () (forall (@list @t129) (or (not (tptp.r1 @t3 @t129)) (tptp.p1 @t129)))) % 127.74/130.50 (define @t348 () (forall (@list @t134) (or (not (tptp.r1 @t3 @t134)) (not (forall @t132 (or (not (tptp.r1 @t134 @t130)) @t131)))))) % 127.74/130.50 (define @t349 () (not @t347)) % 127.74/130.50 (define @t350 () (forall (@list @t142) (or (not (tptp.r1 @t3 @t142)) (forall @t140 (or (not (tptp.r1 @t142 @t138)) @t139))))) % 127.74/130.50 (define @t351 () (not (forall (@list @t224) (or (not (tptp.r1 @t3 @t224)) (not (forall @t222 (or (not (tptp.r1 @t224 @t220)) @t221))))))) % 127.74/130.50 (define @t352 () (forall (@list @t233) (or (not (tptp.r1 @t3 @t233)) (forall @t231 (or (not (tptp.r1 @t233 @t228)) @t230))))) % 127.74/130.50 (define @t353 () (@quantifiers_skolemize (forall @t5 (or @t107 (not (forall @t10 (or @t9 @t352 @t351))) (not (forall @t10 (or @t9 @t341))) (not (forall @t10 (or @t9 @t350 @t349))) (forall @t10 (or @t9 @t348 @t347)) (forall @t10 (or @t9 @t346)) (not (forall @t10 (or @t9 @t343 @t342))))) 0)) % 127.74/130.50 (define @t354 () (not (tptp.r1 @t353 @t3))) % 127.74/130.50 (define @t355 () (forall @t10 (or @t354 @t341))) % 127.74/130.50 (define @t356 () (forall @t10 (or @t354 @t346))) % 127.74/130.50 (define @t357 () (not @t355)) % 127.74/130.50 (define @t358 () (or (not (forall @t10 (or @t354 @t106))) (not (forall @t10 (or @t354 @t352 @t351))) @t357 (not (forall @t10 (or @t354 @t350 @t349))) (forall @t10 (or @t354 @t348 @t347)) @t356 (not (forall @t10 (or @t354 @t343 @t342))))) % 127.74/130.50 (define @t359 () (@list true)) % 127.74/130.50 (define @t360 () (@list @t358)) % 127.74/130.50 (define @t361 () (@quantifiers_skolemize @t356 0)) % 127.74/130.50 (define @t362 () (tptp.r1 @t353 @t361)) % 127.74/130.50 (define @t363 () (forall @t345 (or (not (tptp.r1 @t361 @t125)) @t344))) % 127.74/130.50 (define @t364 () (not @t363)) % 127.74/130.50 (define @t365 () (not @t362)) % 127.74/130.50 (define @t366 () (or @t365 @t364)) % 127.74/130.50 (define @t367 () (@list @t366)) % 127.74/130.50 (define @t368 () (forall @t325 (or (not (tptp.r1 @t361 @t150)) @t324))) % 127.74/130.50 (define @t369 () (not @t368)) % 127.74/130.50 (define @t370 () (forall @t329 (or (not (tptp.r1 @t361 @t156)) @t328 @t327))) % 127.74/130.50 (define @t371 () (not @t370)) % 127.74/130.50 (define @t372 () (or @t371 @t369)) % 127.74/130.50 (define @t373 () (forall @t332 (or (not (tptp.r1 @t361 @t179)) @t331 @t330))) % 127.74/130.50 (define @t374 () (forall @t334 (or (not (tptp.r1 @t361 @t191)) @t333))) % 127.74/130.50 (define @t375 () (or @t374 @t369)) % 127.74/130.50 (define @t376 () (forall @t338 (or (not (tptp.r1 @t361 @t209)) @t337 @t336 @t335))) % 127.74/130.50 (define @t377 () (forall @t340 (or (not (tptp.r1 @t361 @t215)) @t339))) % 127.74/130.50 (define @t378 () (and @t377 @t376 @t375 @t373 @t372)) % 127.74/130.50 (define @t379 () (or @t365 @t378)) % 127.74/130.50 (define @t380 () (@list false false)) % 127.74/130.50 (define @t381 () (not @t378)) % 127.74/130.50 (define @t382 () (@list false)) % 127.74/130.50 (define @t383 () (@list @t378)) % 127.74/130.50 (define @t384 () (@quantifiers_skolemize @t368 0)) % 127.74/130.50 (define @t385 () (tptp.r1 @t361 @t384)) % 127.74/130.50 (define @t386 () (forall @t148 (or (not (tptp.r1 @t384 @t146)) @t147))) % 127.74/130.50 (define @t387 () (not @t386)) % 127.74/130.50 (define @t388 () (not @t385)) % 127.74/130.50 (define @t389 () (or @t388 @t387)) % 127.74/130.50 (define @t390 () (forall @t213 (or (not (tptp.r1 @t384 @t210)) @t212 @t211))) % 127.74/130.50 (define @t391 () (not @t390)) % 127.74/130.50 (define @t392 () (or @t388 @t391)) % 127.74/130.50 (define @t393 () (@quantifiers_skolemize @t390 0)) % 127.74/130.50 (define @t394 () (tptp.p2 @t393)) % 127.74/130.50 (define @t395 () (not @t394)) % 127.74/130.50 (define @t396 () (tptp.r1 @t384 @t393)) % 127.74/130.50 (define @t397 () (not @t396)) % 127.74/130.50 (define @t398 () (or @t397 (forall @t163 (or (not (tptp.r1 @t393 @t161)) @t162)) @t395)) % 127.74/130.50 (define @t399 () (not @t398)) % 127.74/130.50 (define @t400 () (or @t397 @t395)) % 127.74/130.50 (define @t401 () (not @t389)) % 127.74/130.50 (define @t402 () (@quantifiers_skolemize @t370 0)) % 127.74/130.50 (define @t403 () (@list @t402)) % 127.74/130.50 (define @t404 () (forall @t189 (or (not (tptp.r1 @t402 @t186)) @t188))) % 127.74/130.50 (define @t405 () (tptp.r1 @t361 @t402)) % 127.74/130.50 (define @t406 () (not @t405)) % 127.74/130.50 (define @t407 () (or @t406 @t404)) % 127.74/130.50 (define @t408 () (tptp.p2 @t402)) % 127.74/130.50 (define @t409 () (not @t408)) % 127.74/130.50 (define @t410 () (or @t406 (forall @t154 (or (not (tptp.r1 @t402 @t152)) @t153)) @t409)) % 127.74/130.50 (define @t411 () (not @t410)) % 127.74/130.50 (define @t412 () (forall @t123 (or (not (tptp.r1 @t402 @t121)) @t122))) % 127.74/130.50 (define @t413 () (not @t412)) % 127.74/130.50 (define @t414 () (or @t406 @t413)) % 127.74/130.50 (define @t415 () (not @t407)) % 127.74/130.50 (define @t416 () (@quantifiers_skolemize @t412 0)) % 127.74/130.50 (define @t417 () (tptp.p2 @t416)) % 127.74/130.50 (define @t418 () (tptp.r1 @t402 @t416)) % 127.74/130.50 (define @t419 () (not @t418)) % 127.74/130.50 (define @t420 () (or @t419 @t417)) % 127.74/130.50 (define @t421 () (not @t420)) % 127.74/130.50 (define @t422 () (forall @t177 (or (not (tptp.r1 @t402 @t174)) @t176))) % 127.74/130.50 (define @t423 () (@quantifiers_skolemize @t422 0)) % 127.74/130.50 (define @t424 () (forall @t187 (or (not (tptp.r1 @t423 @t180)) @t185 @t181))) % 127.74/130.50 (define @t425 () (not @t424)) % 127.74/130.50 (define @t426 () (tptp.r1 @t402 @t423)) % 127.74/130.50 (define @t427 () (not @t426)) % 127.74/130.50 (define @t428 () (or @t427 @t425)) % 127.74/130.50 (define @t429 () (forall @t175 (or (not (tptp.r1 @t423 @t172)) @t173))) % 127.74/130.50 (define @t430 () (not @t429)) % 127.74/130.50 (define @t431 () (or @t427 @t430)) % 127.74/130.50 (define @t432 () (not @t428)) % 127.74/130.50 (define @t433 () (@quantifiers_skolemize @t424 0)) % 127.74/130.50 (define @t434 () (tptp.p2 @t433)) % 127.74/130.50 (define @t435 () (not @t434)) % 127.74/130.50 (define @t436 () (tptp.r1 @t423 @t433)) % 127.74/130.50 (define @t437 () (not @t436)) % 127.74/130.50 (define @t438 () (or @t437 (forall @t184 (or (not (tptp.r1 @t433 @t182)) @t183)) @t435)) % 127.74/130.50 (define @t439 () (not @t438)) % 127.74/130.50 (define @t440 () (or @t437 @t435)) % 127.74/130.50 (define @t441 () (and (not (forall @t205 (or (not (tptp.r1 @t416 @t203)) @t204))) @t417)) % 127.74/130.50 (define @t442 () (not @t431)) % 127.74/130.50 (define @t443 () (not @t422)) % 127.74/130.50 (define @t444 () (or @t419 @t441)) % 127.74/130.50 (define @t445 () (forall @t171 (or (not (tptp.r1 @t402 @t168)) @t170))) % 127.74/130.50 (define @t446 () (not @t445)) % 127.74/130.50 (define @t447 () (or @t406 @t443 @t446)) % 127.74/130.50 (define @t448 () (forall @t207 (or (not (tptp.r1 @t402 @t202)) @t206))) % 127.74/130.50 (define @t449 () (@quantifiers_skolemize @t445 0)) % 127.74/130.50 (define @t450 () (forall @t169 (or (not (tptp.r1 @t449 @t165)) @t167))) % 127.74/130.50 (define @t451 () (not @t450)) % 127.74/130.50 (define @t452 () (tptp.r1 @t402 @t449)) % 127.74/130.50 (define @t453 () (not @t452)) % 127.74/130.50 (define @t454 () (or @t453 @t451)) % 127.74/130.50 (define @t455 () (not @t454)) % 127.74/130.50 (define @t456 () (forall @t201 (or (not (tptp.r1 @t402 @t198)) @t200))) % 127.74/130.50 (define @t457 () (or @t406 @t448 @t409 @t456)) % 127.74/130.50 (define @t458 () (forall @t199 (or (not (tptp.r1 @t449 @t195)) @t197))) % 127.74/130.50 (define @t459 () (not @t458)) % 127.74/130.50 (define @t460 () (or @t453 @t459)) % 127.74/130.50 (define @t461 () (@quantifiers_skolemize @t458 0)) % 127.74/130.50 (define @t462 () (forall @t166 (or (not (tptp.r1 @t461 @t159)) @t164 @t160))) % 127.74/130.50 (define @t463 () (not @t462)) % 127.74/130.50 (define @t464 () (tptp.r1 @t449 @t461)) % 127.74/130.50 (define @t465 () (not @t464)) % 127.74/130.50 (define @t466 () (or @t465 @t463)) % 127.74/130.50 (define @t467 () (forall @t196 (or (not (tptp.r1 @t461 @t193)) @t194))) % 127.74/130.50 (define @t468 () (not @t467)) % 127.74/130.50 (define @t469 () (or @t465 @t468)) % 127.74/130.50 (define @t470 () (not @t469)) % 127.74/130.50 (define @t471 () (@quantifiers_skolemize @t462 0)) % 127.74/130.50 (define @t472 () (tptp.p2 @t471)) % 127.74/130.50 (define @t473 () (not @t472)) % 127.74/130.50 (define @t474 () (tptp.r1 @t461 @t471)) % 127.74/130.50 (define @t475 () (not @t474)) % 127.74/130.50 (define @t476 () (or @t475 (forall @t163 (or (not (tptp.r1 @t471 @t161)) @t162)) @t473)) % 127.74/130.50 (define @t477 () (not @t476)) % 127.74/130.50 (define @t478 () (or @t475 @t473)) % 127.74/130.50 (assume @p1 (not (not @t110))) % 127.74/130.50 (assume @p2 true) % 127.74/130.50 (step @p3 :rule alpha_equiv :args (@t6 @t111 (@list @t112))) % 127.74/130.50 (step @p4 :rule cong :premises (@p3) :args (@t7)) % 127.74/130.50 (step @p5 :rule alpha_equiv :args (@t116 @t111 (@list @t117))) % 127.74/130.50 (step @p6 :rule refl :args (@t9)) % 127.74/130.50 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t118)) % 127.74/130.50 (step @p8 :rule cong :premises (@p7) :args (@t119)) % 127.74/130.50 (step @p9 :rule cong :premises (@p8) :args (@t120)) % 127.74/130.50 (step @p10 :rule alpha_equiv :args (@t124 @t111 (@list @t125))) % 127.74/130.50 (step @p11 :rule cong :premises (@p10) :args (@t126)) % 127.74/130.50 (step @p12 :rule nary_cong :premises (@p6 @p11) :args (@t127)) % 127.74/130.50 (step @p13 :rule cong :premises (@p12) :args (@t128)) % 127.74/130.50 (step @p14 :rule alpha_equiv :args (@t25 @t111 (@list @t129))) % 127.74/130.50 (step @p15 :rule alpha_equiv :args (@t133 @t111 (@list @t134))) % 127.74/130.50 (step @p16 :rule nary_cong :premises (@p6 @p15 @p14) :args (@t135)) % 127.74/130.50 (step @p17 :rule cong :premises (@p16) :args (@t136)) % 127.74/130.50 (step @p18 :rule cong :premises (@p14) :args (@t137)) % 127.74/130.50 (step @p19 :rule alpha_equiv :args (@t141 @t111 (@list @t142))) % 127.74/130.50 (step @p20 :rule nary_cong :premises (@p6 @p19 @p18) :args (@t143)) % 127.74/130.50 (step @p21 :rule cong :premises (@p20) :args (@t144)) % 127.74/130.50 (step @p22 :rule cong :premises (@p21) :args (@t145)) % 127.74/130.50 (step @p23 :rule alpha_equiv :args (@t149 @t111 (@list @t150))) % 127.74/130.50 (step @p24 :rule cong :premises (@p23) :args (@t151)) % 127.74/130.50 (step @p25 :rule alpha_equiv :args (@t155 @t111 (@list @t156))) % 127.74/130.50 (step @p26 :rule cong :premises (@p25) :args (@t157)) % 127.74/130.50 (step @p27 :rule nary_cong :premises (@p26 @p24) :args (@t158)) % 127.74/130.50 (step @p28 :rule alpha_equiv :args (@t178 @t111 (@list @t179))) % 127.74/130.50 (step @p29 :rule alpha_equiv :args (@t190 @t111 (@list @t191))) % 127.74/130.50 (step @p30 :rule nary_cong :premises (@p29 @p24) :args (@t192)) % 127.74/130.50 (step @p31 :rule alpha_equiv :args (@t208 @t111 (@list @t209))) % 127.74/130.50 (step @p32 :rule alpha_equiv :args (@t214 @t111 (@list @t215))) % 127.74/130.50 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30 @p28 @p27) :args (@t216)) % 127.74/130.50 (step @p34 :rule nary_cong :premises (@p6 @p33) :args (@t217)) % 127.74/130.50 (step @p35 :rule cong :premises (@p34) :args (@t218)) % 127.74/130.50 (step @p36 :rule cong :premises (@p35) :args (@t219)) % 127.74/130.50 (step @p37 :rule alpha_equiv :args (@t223 @t111 (@list @t224))) % 127.74/130.50 (step @p38 :rule cong :premises (@p37) :args (@t225)) % 127.74/130.50 (step @p39 :rule alpha_equiv :args (@t232 @t111 (@list @t233))) % 127.74/130.50 (step @p40 :rule nary_cong :premises (@p6 @p39 @p38) :args (@t234)) % 127.74/130.50 (step @p41 :rule cong :premises (@p40) :args (@t235)) % 127.74/130.50 (step @p42 :rule cong :premises (@p41) :args (@t236)) % 127.74/130.50 (step @p43 :rule refl :args (@t107)) % 127.74/130.50 (step @p44 :rule nary_cong :premises (@p43 @p42 @p36 @p22 @p17 @p13 @p9) :args (@t237)) % 127.74/130.50 (step @p45 :rule cong :premises (@p44) :args ((forall @t5 @t237))) % 127.74/130.50 (step @p46 :rule bool-double-not-elim :args (@t237)) % 127.74/130.50 (step @p47 :rule cong :premises (@p46) :args (@t239)) % 127.74/130.50 (step @p48 :rule trans :premises (@p47 @p45)) % 127.74/130.50 (step @p49 :rule cong :premises (@p48) :args (@t240)) % 127.74/130.50 (step @p50 :rule exists-elim :args ((= (exists @t5 @t238) @t240))) % 127.74/130.50 (step @p51 :rule trans :premises (@p50 @p49)) % 127.74/130.50 (step @p52 :rule refl :args (@t7)) % 127.74/130.50 (step @p53 :rule alpha_equiv :args (@t11 @t241 (@list @t113))) % 127.74/130.50 (step @p54 :rule refl :args (@t4)) % 127.74/130.50 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t12)) % 127.74/130.50 (step @p56 :rule cong :premises (@p55) :args (@t13)) % 127.74/130.50 (step @p57 :rule nary_cong :premises (@p6 @p56 @p52) :args (@t14)) % 127.74/130.50 (step @p58 :rule cong :premises (@p57) :args (@t15)) % 127.74/130.50 (step @p59 :rule cong :premises (@p58) :args (@t16)) % 127.74/130.50 (step @p60 :rule alpha_equiv :args (@t18 @t241 (@list @t121))) % 127.74/130.50 (step @p61 :rule cong :premises (@p60) :args (@t19)) % 127.74/130.50 (step @p62 :rule nary_cong :premises (@p54 @p61) :args (@t20)) % 127.74/130.50 (step @p63 :rule cong :premises (@p62) :args (@t21)) % 127.74/130.50 (step @p64 :rule cong :premises (@p63) :args (@t22)) % 127.74/130.50 (step @p65 :rule nary_cong :premises (@p6 @p64) :args (@t23)) % 127.74/130.50 (step @p66 :rule cong :premises (@p65) :args (@t24)) % 127.74/130.50 (step @p67 :rule refl :args (@t25)) % 127.74/130.50 (step @p68 :rule alpha_equiv :args (@t26 @t241 (@list @t130))) % 127.74/130.50 (step @p69 :rule cong :premises (@p68) :args (@t27)) % 127.74/130.50 (step @p70 :rule nary_cong :premises (@p54 @p69) :args (@t28)) % 127.74/130.50 (step @p71 :rule cong :premises (@p70) :args (@t29)) % 127.74/130.50 (step @p72 :rule nary_cong :premises (@p6 @p71 @p67) :args (@t30)) % 127.74/130.50 (step @p73 :rule cong :premises (@p72) :args (@t31)) % 127.74/130.50 (step @p74 :rule aci_norm :args ((= (or @t9 (or @t141 @t137)) @t143))) % 127.74/130.50 (step @p75 :rule refl :args (@t137)) % 127.74/130.50 (step @p76 :rule bool-double-not-elim :args (@t141)) % 127.74/130.50 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t242) @t137))) % 127.74/130.50 (step @p78 :rule bool-and-de-morgan :args (@t242 @t25 true)) % 127.74/130.50 (step @p79 :rule trans :premises (@p78 @p77)) % 127.74/130.50 (step @p80 :rule nary_cong :premises (@p6 @p79) :args (@t243)) % 127.74/130.50 (step @p81 :rule trans :premises (@p80 @p74)) % 127.74/130.50 (step @p82 :rule cong :premises (@p81) :args ((forall @t10 @t243))) % 127.74/130.50 (step @p83 :rule alpha_equiv :args (@t26 @t241 (@list @t138))) % 127.74/130.50 (step @p84 :rule nary_cong :premises (@p54 @p83) :args (@t32)) % 127.74/130.50 (step @p85 :rule cong :premises (@p84) :args (@t33)) % 127.74/130.50 (step @p86 :rule cong :premises (@p85) :args (@t34)) % 127.74/130.50 (step @p87 :rule nary_cong :premises (@p86 @p67) :args (@t35)) % 127.74/130.50 (step @p88 :rule cong :premises (@p87) :args (@t36)) % 127.74/130.50 (step @p89 :rule nary_cong :premises (@p6 @p88) :args (@t37)) % 127.74/130.50 (step @p90 :rule cong :premises (@p89) :args (@t38)) % 127.74/130.50 (step @p91 :rule trans :premises (@p90 @p82)) % 127.74/130.50 (step @p92 :rule cong :premises (@p91) :args (@t39)) % 127.74/130.50 (step @p93 :rule bool-and-de-morgan :args (@t155 @t149 true)) % 127.74/130.50 (step @p94 :rule refl :args (@t178)) % 127.74/130.50 (step @p95 :rule refl :args (@t151)) % 127.74/130.50 (step @p96 :rule bool-double-not-elim :args (@t190)) % 127.74/130.50 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t244) @t151))) % 127.74/130.50 (step @p98 :rule bool-and-de-morgan :args (@t244 @t149 true)) % 127.74/130.50 (step @p99 :rule trans :premises (@p98 @p97)) % 127.74/130.50 (step @p100 :rule refl :args (@t208)) % 127.74/130.50 (step @p101 :rule refl :args (@t214)) % 127.74/130.50 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99 @p94 @p93) :args ((and @t214 @t208 @t248 @t178 @t246))) % 127.74/130.50 (step @p103 :rule refl :args (@t246)) % 127.74/130.50 (step @p104 :rule bool-double-not-elim :args (@t178)) % 127.74/130.50 (step @p105 :rule refl :args (@t248)) % 127.74/130.50 (step @p106 :rule bool-double-not-elim :args (@t208)) % 127.74/130.50 (step @p107 :rule bool-double-not-elim :args (@t214)) % 127.74/130.50 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104 @p103) :args (@t255)) % 127.74/130.50 (step @p109 :rule aci_norm :args ((= (and @t254 (and @t252 (and @t248 (and @t250 @t246)))) @t255))) % 127.74/130.50 (step @p110 :rule trans :premises (@p109 @p108)) % 127.74/130.50 (step @p111 :rule bool-or-de-morgan :args (@t249 @t245 false)) % 127.74/130.50 (step @p112 :rule nary_cong :premises (@p105 @p111) :args ((and @t248 (not (or @t249 @t245))))) % 127.74/130.50 (step @p113 :rule bool-or-de-morgan :args (@t247 @t249 (or @t245))) % 127.74/130.50 (step @p114 :rule trans :premises (@p113 @p112)) % 127.74/130.50 (step @p115 :rule refl :args (@t252)) % 127.74/130.50 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((and @t252 (not (or @t247 @t249 @t245))))) % 127.74/130.50 (step @p117 :rule bool-or-de-morgan :args (@t251 @t247 (or @t249 @t245))) % 127.74/130.50 (step @p118 :rule trans :premises (@p117 @p116)) % 127.74/130.50 (step @p119 :rule refl :args (@t254)) % 127.74/130.50 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((and @t254 (not (or @t251 @t247 @t249 @t245))))) % 127.74/130.50 (step @p121 :rule bool-or-de-morgan :args (@t253 @t251 (or @t247 @t249 @t245))) % 127.74/130.50 (step @p122 :rule trans :premises (@p121 @p120)) % 127.74/130.50 (step @p123 :rule trans :premises (@p122 @p110)) % 127.74/130.50 (step @p124 :rule trans :premises (@p123 @p102)) % 127.74/130.50 (step @p125 :rule nary_cong :premises (@p6 @p124) :args (@t256)) % 127.74/130.50 (step @p126 :rule cong :premises (@p125) :args ((forall @t10 @t256))) % 127.74/130.50 (step @p127 :rule alpha_equiv :args (@t41 @t241 (@list @t146))) % 127.74/130.50 (step @p128 :rule cong :premises (@p127) :args (@t42)) % 127.74/130.50 (step @p129 :rule nary_cong :premises (@p54 @p128) :args (@t43)) % 127.74/130.50 (step @p130 :rule cong :premises (@p129) :args (@t44)) % 127.74/130.50 (step @p131 :rule refl :args (@t46)) % 127.74/130.50 (step @p132 :rule alpha_equiv :args (@t47 @t241 (@list @t152))) % 127.74/130.50 (step @p133 :rule nary_cong :premises (@p54 @p132 @p131) :args (@t48)) % 127.74/130.50 (step @p134 :rule cong :premises (@p133) :args (@t49)) % 127.74/130.50 (step @p135 :rule nary_cong :premises (@p134 @p130) :args (@t50)) % 127.74/130.50 (step @p136 :rule alpha_equiv :args (@t257 @t241 (@list @t168))) % 127.74/130.50 (step @p137 :rule cong :premises (@p136) :args (@t258)) % 127.74/130.50 (step @p138 :rule alpha_equiv :args (@t259 @t241 (@list @t174))) % 127.74/130.50 (step @p139 :rule cong :premises (@p138) :args (@t260)) % 127.74/130.50 (step @p140 :rule nary_cong :premises (@p54 @p139 @p137) :args (@t261)) % 127.74/130.50 (step @p141 :rule cong :premises (@p140) :args (@t262)) % 127.74/130.50 (step @p142 :rule cong :premises (@p141) :args (@t263)) % 127.74/130.50 (step @p143 :rule alpha_equiv :args (@t264 @t241 (@list @t186))) % 127.74/130.50 (step @p144 :rule nary_cong :premises (@p54 @p143) :args (@t265)) % 127.74/130.50 (step @p145 :rule cong :premises (@p144) :args (@t266)) % 127.74/130.50 (step @p146 :rule cong :premises (@p145) :args (@t267)) % 127.74/130.50 (step @p147 :rule nary_cong :premises (@p146 @p130) :args (@t268)) % 127.74/130.50 (step @p148 :rule alpha_equiv :args (@t269 @t241 (@list @t198))) % 127.74/130.50 (step @p149 :rule alpha_equiv :args (@t270 @t241 (@list @t202))) % 127.74/130.50 (step @p150 :rule nary_cong :premises (@p54 @p149 @p131 @p148) :args (@t271)) % 127.74/130.50 (step @p151 :rule cong :premises (@p150) :args (@t272)) % 127.74/130.50 (step @p152 :rule cong :premises (@p151) :args (@t273)) % 127.74/130.50 (step @p153 :rule alpha_equiv :args (@t274 @t241 (@list @t210))) % 127.74/130.50 (step @p154 :rule cong :premises (@p153) :args (@t275)) % 127.74/130.50 (step @p155 :rule nary_cong :premises (@p54 @p154) :args (@t276)) % 127.74/130.50 (step @p156 :rule cong :premises (@p155) :args (@t277)) % 127.74/130.50 (step @p157 :rule cong :premises (@p156) :args (@t278)) % 127.74/130.50 (step @p158 :rule nary_cong :premises (@p157 @p152 @p147 @p142 @p135) :args (@t279)) % 127.74/130.50 (step @p159 :rule cong :premises (@p158) :args (@t280)) % 127.74/130.50 (step @p160 :rule nary_cong :premises (@p6 @p159) :args (@t281)) % 127.74/130.50 (step @p161 :rule cong :premises (@p160) :args ((forall @t10 @t281))) % 127.74/130.50 (step @p162 :rule trans :premises (@p161 @p126)) % 127.74/130.50 (step @p163 :rule refl :args (@t50)) % 127.74/130.50 (step @p164 :rule aci_norm :args ((= (or @t4 (or @t260 @t258)) @t261))) % 127.74/130.50 (step @p165 :rule bool-and-de-morgan :args (@t259 @t257 true)) % 127.74/130.50 (step @p166 :rule nary_cong :premises (@p54 @p165) :args (@t282)) % 127.74/130.50 (step @p167 :rule trans :premises (@p166 @p164)) % 127.74/130.50 (step @p168 :rule cong :premises (@p167) :args ((forall @t5 @t282))) % 127.74/130.50 (step @p169 :rule alpha_equiv :args (@t283 @t111 (@list @t165))) % 127.74/130.50 (step @p170 :rule cong :premises (@p169) :args (@t284)) % 127.74/130.50 (step @p171 :rule nary_cong :premises (@p6 @p170) :args (@t285)) % 127.74/130.50 (step @p172 :rule cong :premises (@p171) :args (@t286)) % 127.74/130.50 (step @p173 :rule alpha_equiv :args (@t60 @t111 (@list @t172))) % 127.74/130.50 (step @p174 :rule cong :premises (@p173) :args (@t61)) % 127.74/130.50 (step @p175 :rule nary_cong :premises (@p6 @p174) :args (@t62)) % 127.74/130.50 (step @p176 :rule cong :premises (@p175) :args (@t63)) % 127.74/130.50 (step @p177 :rule nary_cong :premises (@p176 @p172) :args (@t287)) % 127.74/130.50 (step @p178 :rule cong :premises (@p177) :args (@t288)) % 127.74/130.50 (step @p179 :rule nary_cong :premises (@p54 @p178) :args (@t289)) % 127.74/130.50 (step @p180 :rule cong :premises (@p179) :args ((forall @t5 @t289))) % 127.74/130.50 (step @p181 :rule trans :premises (@p180 @p168)) % 127.74/130.50 (step @p182 :rule alpha_equiv :args (@t274 @t241 (@list @t159))) % 127.74/130.50 (step @p183 :rule cong :premises (@p182) :args (@t275)) % 127.74/130.50 (step @p184 :rule nary_cong :premises (@p54 @p183) :args (@t276)) % 127.74/130.50 (step @p185 :rule cong :premises (@p184) :args (@t277)) % 127.74/130.50 (step @p186 :rule cong :premises (@p185) :args (@t278)) % 127.74/130.50 (step @p187 :rule nary_cong :premises (@p6 @p186) :args (@t290)) % 127.74/130.50 (step @p188 :rule cong :premises (@p187) :args ((forall @t10 @t290))) % 127.74/130.50 (step @p189 :rule refl :args (@t40)) % 127.74/130.50 (step @p190 :rule alpha_equiv :args (@t51 @t111 (@list @t161))) % 127.74/130.50 (step @p191 :rule nary_cong :premises (@p6 @p190 @p189) :args (@t52)) % 127.74/130.50 (step @p192 :rule cong :premises (@p191) :args (@t53)) % 127.74/130.50 (step @p193 :rule cong :premises (@p192) :args (@t54)) % 127.74/130.50 (step @p194 :rule nary_cong :premises (@p54 @p193) :args (@t55)) % 127.74/130.50 (step @p195 :rule cong :premises (@p194) :args (@t56)) % 127.74/130.50 (step @p196 :rule cong :premises (@p195) :args (@t57)) % 127.74/130.50 (step @p197 :rule refl :args (@t9)) % 127.74/130.50 (step @p198 :rule nary_cong :premises (@p197 @p196) :args (@t58)) % 127.74/130.50 (step @p199 :rule cong :premises (@p198) :args (@t59)) % 127.74/130.50 (step @p200 :rule trans :premises (@p199 @p188)) % 127.74/130.50 (step @p201 :rule refl :args (@t63)) % 127.74/130.50 (step @p202 :rule nary_cong :premises (@p201 @p200) :args (@t64)) % 127.74/130.50 (step @p203 :rule cong :premises (@p202) :args (@t65)) % 127.74/130.50 (step @p204 :rule refl :args (@t4)) % 127.74/130.50 (step @p205 :rule nary_cong :premises (@p204 @p203) :args (@t66)) % 127.74/130.50 (step @p206 :rule cong :premises (@p205) :args (@t67)) % 127.74/130.50 (step @p207 :rule trans :premises (@p206 @p181)) % 127.74/130.50 (step @p208 :rule cong :premises (@p207) :args (@t68)) % 127.74/130.50 (step @p209 :rule refl :args (@t44)) % 127.74/130.50 (step @p210 :rule alpha_equiv :args (@t291 @t111 (@list @t180))) % 127.74/130.50 (step @p211 :rule cong :premises (@p210) :args (@t292)) % 127.74/130.50 (step @p212 :rule nary_cong :premises (@p6 @p211) :args (@t293)) % 127.74/130.50 (step @p213 :rule cong :premises (@p212) :args (@t294)) % 127.74/130.50 (step @p214 :rule nary_cong :premises (@p54 @p213) :args (@t295)) % 127.74/130.50 (step @p215 :rule cong :premises (@p214) :args ((forall @t5 @t295))) % 127.74/130.50 (step @p216 :rule alpha_equiv :args (@t47 @t241 (@list @t182))) % 127.74/130.50 (step @p217 :rule nary_cong :premises (@p54 @p216 @p131) :args (@t48)) % 127.74/130.50 (step @p218 :rule cong :premises (@p217) :args (@t49)) % 127.74/130.50 (step @p219 :rule cong :premises (@p218) :args (@t69)) % 127.74/130.50 (step @p220 :rule nary_cong :premises (@p6 @p219) :args (@t70)) % 127.74/130.50 (step @p221 :rule cong :premises (@p220) :args (@t71)) % 127.74/130.50 (step @p222 :rule nary_cong :premises (@p204 @p221) :args (@t72)) % 127.74/130.50 (step @p223 :rule cong :premises (@p222) :args (@t73)) % 127.74/130.50 (step @p224 :rule trans :premises (@p223 @p215)) % 127.74/130.50 (step @p225 :rule cong :premises (@p224) :args (@t74)) % 127.74/130.50 (step @p226 :rule nary_cong :premises (@p225 @p209) :args (@t75)) % 127.74/130.50 (step @p227 :rule aci_norm :args ((= (or @t4 (or @t270 @t46 @t269)) @t271))) % 127.74/130.50 (step @p228 :rule bool-double-not-elim :args (@t269)) % 127.74/130.50 (step @p229 :rule bool-double-not-elim :args (@t270)) % 127.74/130.50 (step @p230 :rule nary_cong :premises (@p229 @p131 @p228) :args (@t300)) % 127.74/130.50 (step @p231 :rule aci_norm :args ((= (or @t299 (or @t46 @t297)) @t300))) % 127.74/130.50 (step @p232 :rule trans :premises (@p231 @p230)) % 127.74/130.50 (step @p233 :rule bool-and-de-morgan :args (@t45 @t296 true)) % 127.74/130.50 (step @p234 :rule refl :args (@t299)) % 127.74/130.50 (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t299 (not (and @t45 @t296))))) % 127.74/130.50 (step @p236 :rule bool-and-de-morgan :args (@t298 @t45 (and @t296))) % 127.74/130.50 (step @p237 :rule trans :premises (@p236 @p235)) % 127.74/130.50 (step @p238 :rule trans :premises (@p237 @p232)) % 127.74/130.50 (step @p239 :rule nary_cong :premises (@p54 @p238) :args (@t301)) % 127.74/130.50 (step @p240 :rule trans :premises (@p239 @p227)) % 127.74/130.50 (step @p241 :rule cong 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126.75/130.50 (step @p462 :rule nary_cong :premises (@p461 @p460) :args ((or (not @t413) @t421))) % 126.75/130.50 (assume-push @p645 @t413) % 126.75/130.50 (step @p464 :rule skolemize :premises (@p645)) % 126.75/130.50 (step-pop @p646 :rule scope :premises (@p464)) % 126.75/130.50 (step @p465 :rule process_scope :premises (@p646) :args (@t421)) % 126.75/130.50 (step @p467 :rule implies_elim :premises (@p465)) % 126.75/130.50 (step @p468 :rule eq_resolve :premises (@p467 @p462)) % 126.75/130.50 (assume-push @p647 @t404) % 126.75/130.50 (step @p470 :rule instantiate :premises (@p647) :args ((@list @t423))) % 126.75/130.50 (step-pop @p648 :rule scope :premises (@p470)) % 126.75/130.50 (step @p471 :rule process_scope :premises (@p648) :args (@t428)) % 126.75/130.50 (step @p473 :rule implies_elim :premises (@p471)) % 126.75/130.50 (step @p474 :rule bool-double-not-elim :args (@t418)) % 126.75/130.50 (step @p475 :rule refl :args (@t420)) % 126.75/130.50 (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or @t420 (not @t419)))) % 126.75/130.50 (step @p477 :rule cnf_or_neg :args (@t420 0)) % 126.75/130.50 (step @p478 :rule eq_resolve :premises (@p477 @p476)) % 126.75/130.50 (step @p479 :rule reordering :premises (@p478) :args ((or @t418 @t420))) % 126.75/130.50 (step @p480 :rule cnf_or_neg :args (@t420 1)) % 126.75/130.50 (step @p481 :rule bool-double-not-elim :args (@t426)) % 126.75/130.50 (step @p482 :rule refl :args (@t431)) % 126.75/130.50 (step @p483 :rule nary_cong :premises (@p482 @p481) :args ((or @t431 (not @t427)))) % 126.75/130.50 (step @p484 :rule cnf_or_neg :args (@t431 0)) % 126.75/130.50 (step @p485 :rule eq_resolve :premises (@p484 @p483)) % 126.75/130.50 (step @p486 :rule reordering :premises (@p485) :args ((or @t426 @t431))) % 126.75/130.50 (step @p487 :rule bool-double-not-elim :args (@t429)) % 126.75/130.50 (step @p488 :rule nary_cong :premises (@p482 @p487) :args ((or @t431 (not @t430)))) % 126.75/130.50 (step @p489 :rule cnf_or_neg :args (@t431 1)) % 126.75/130.50 (step @p490 :rule eq_resolve :premises (@p489 @p488)) % 126.75/130.50 (step @p491 :rule reordering :premises (@p490) :args ((or @t429 @t431))) % 126.75/130.50 (step @p492 :rule cnf_or_pos :args (@t428)) % 126.75/130.50 (step @p493 :rule reordering :premises (@p492) :args ((or @t427 @t425 @t432))) % 126.75/130.50 (step @p494 :rule refl :args (@t439)) % 126.75/130.50 (step @p495 :rule bool-double-not-elim :args (@t424)) % 126.75/130.50 (step @p496 :rule nary_cong :premises (@p495 @p494) :args ((or (not @t425) @t439))) % 126.75/130.50 (assume-push @p649 @t425) % 126.75/130.50 (step @p498 :rule skolemize :premises (@p649)) % 126.75/130.50 (step-pop @p650 :rule scope :premises (@p498)) % 126.75/130.50 (step @p499 :rule process_scope :premises (@p650) :args (@t439)) % 126.75/130.50 (step @p501 :rule implies_elim :premises (@p499)) % 126.75/130.50 (step @p502 :rule eq_resolve :premises (@p501 @p496)) % 126.75/130.50 (step @p503 :rule bool-double-not-elim :args (@t436)) % 126.75/130.50 (step @p504 :rule refl :args (@t438)) % 126.75/130.50 (step @p505 :rule nary_cong :premises (@p504 @p503) :args ((or @t438 (not @t437)))) % 126.75/130.50 (step @p506 :rule cnf_or_neg :args (@t438 0)) % 126.75/130.50 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 126.75/130.50 (step @p508 :rule reordering :premises (@p507) :args ((or @t436 @t438))) % 126.75/130.50 (step @p509 :rule bool-double-not-elim :args (@t434)) % 126.75/130.50 (step @p510 :rule nary_cong :premises (@p504 @p509) :args ((or @t438 (not @t435)))) % 126.75/130.50 (step @p511 :rule cnf_or_neg :args (@t438 2)) % 126.75/130.50 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 126.75/130.50 (step @p513 :rule reordering :premises (@p512) :args ((or @t434 @t438))) % 126.75/130.50 (step @p514 :rule cnf_or_pos :args (@t440)) % 126.75/130.50 (step @p515 :rule reordering :premises (@p514) :args ((or @t437 @t435 (not @t440)))) % 126.75/130.50 (assume-push @p651 @t429) % 126.75/130.50 (step @p517 :rule instantiate :premises (@p651) :args ((@list @t433))) % 126.75/130.50 (step-pop @p652 :rule scope :premises (@p517)) % 126.75/130.50 (step @p518 :rule process_scope :premises (@p652) :args (@t440)) % 126.75/130.50 (step @p520 :rule implies_elim :premises (@p518)) % 126.75/130.50 (step @p521 :rule chain_m_resolution :premises (@p520 @p515 @p513 @p508 @p502 @p493 @p491 @p486) :args ((or @t431 @t432) (@list true false false true true false false) (@list @t440 @t434 @t436 @t438 @t424 @t429 @t426))) % 126.75/130.50 (step @p522 :rule cnf_and_pos :args (@t441 1)) % 126.75/130.50 (step @p523 :rule reordering :premises (@p522) :args ((or @t417 (not @t441)))) % 126.75/130.50 (step @p524 :rule refl :args (@t442)) % 126.75/130.50 (step @p525 :rule bool-double-not-elim :args (@t422)) % 126.75/130.50 (step @p526 :rule nary_cong :premises (@p525 @p524) :args ((or (not @t443) @t442))) % 126.75/130.50 (assume-push @p653 @t443) % 126.75/130.50 (step @p528 :rule skolemize :premises (@p653)) % 126.75/130.50 (step-pop @p654 :rule scope :premises (@p528)) % 126.75/130.50 (step @p529 :rule process_scope :premises (@p654) :args (@t442)) % 126.75/130.50 (step @p531 :rule implies_elim :premises (@p529)) % 126.75/130.50 (step @p532 :rule eq_resolve :premises (@p531 @p526)) % 126.75/130.50 (step @p533 :rule cnf_or_pos :args (@t444)) % 126.75/130.50 (step @p534 :rule reordering :premises (@p533) :args ((or @t419 @t441 (not @t444)))) % 126.75/130.50 (step @p535 :rule cnf_and_pos :args (@t378 3)) % 126.75/130.50 (step @p536 :rule reordering :premises (@p535) :args ((or @t373 @t381))) % 126.75/130.50 (step @p537 :rule chain_m_resolution :premises (@p536 @p354) :args (@t373 @t382 @t383)) % 126.75/130.50 (step @p538 :rule instantiate :premises (@p537) :args (@t403)) % 126.75/130.50 (step @p539 :rule cnf_or_pos :args (@t447)) % 126.75/130.50 (step @p540 :rule reordering :premises (@p539) :args ((or @t406 @t443 @t446 (not @t447)))) % 126.75/130.50 (assume-push @p655 @t448) % 126.75/130.50 (step @p542 :rule instantiate :premises (@p655) :args ((@list @t416))) % 126.75/130.50 (step-pop @p656 :rule scope :premises (@p542)) % 126.75/130.50 (step @p543 :rule process_scope :premises (@p656) :args (@t444)) % 126.75/130.50 (step @p545 :rule implies_elim :premises (@p543)) % 126.75/130.50 (step @p546 :rule refl :args (@t455)) % 126.75/130.50 (step @p547 :rule bool-double-not-elim :args (@t445)) % 126.75/130.50 (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or (not @t446) @t455))) % 126.75/130.50 (assume-push @p657 @t446) % 126.75/130.50 (step @p550 :rule skolemize :premises (@p657)) % 126.75/130.50 (step-pop @p658 :rule scope :premises (@p550)) % 126.75/130.50 (step @p551 :rule process_scope :premises (@p658) :args (@t455)) % 126.75/130.50 (step @p553 :rule implies_elim :premises (@p551)) % 126.75/130.50 (step @p554 :rule eq_resolve :premises (@p553 @p548)) % 126.75/130.50 (step @p555 :rule cnf_and_pos :args (@t378 1)) % 126.75/130.50 (step @p556 :rule reordering :premises (@p555) :args ((or @t376 @t381))) % 126.75/130.50 (step @p557 :rule chain_m_resolution :premises (@p556 @p354) :args (@t376 @t382 @t383)) % 126.75/130.50 (step @p558 :rule instantiate :premises (@p557) :args (@t403)) % 126.75/130.50 (step @p559 :rule cnf_or_pos :args (@t457)) % 126.75/130.50 (step @p560 :rule reordering :premises (@p559) :args ((or @t406 @t409 @t448 @t456 (not @t457)))) % 126.75/130.50 (step @p561 :rule bool-double-not-elim :args (@t452)) % 126.75/130.50 (step @p562 :rule refl :args (@t454)) % 126.75/130.50 (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or @t454 (not @t453)))) % 126.75/130.50 (step @p564 :rule cnf_or_neg :args (@t454 0)) % 126.75/130.50 (step @p565 :rule eq_resolve :premises (@p564 @p563)) % 126.75/130.50 (step @p566 :rule reordering :premises (@p565) :args ((or @t452 @t454))) % 126.75/130.50 (step @p567 :rule bool-double-not-elim :args (@t450)) % 126.75/130.50 (step @p568 :rule nary_cong :premises (@p562 @p567) :args ((or @t454 (not @t451)))) % 126.75/130.50 (step @p569 :rule cnf_or_neg :args (@t454 1)) % 126.75/130.50 (step @p570 :rule eq_resolve :premises (@p569 @p568)) % 126.75/130.50 (step @p571 :rule reordering :premises (@p570) :args ((or @t450 @t454))) % 126.75/130.50 (assume-push @p659 @t456) % 126.75/130.50 (step @p573 :rule instantiate :premises (@p659) :args ((@list @t449))) % 126.75/130.50 (step-pop @p660 :rule scope :premises (@p573)) % 126.75/130.50 (step @p574 :rule process_scope :premises (@p660) :args (@t460)) % 126.75/130.50 (step @p576 :rule implies_elim :premises (@p574)) % 126.75/130.50 (assume-push @p661 @t450) % 126.75/130.50 (step @p578 :rule instantiate :premises (@p661) :args ((@list @t461))) % 126.75/130.50 (step-pop @p662 :rule scope :premises (@p578)) % 126.75/130.50 (step @p579 :rule process_scope :premises (@p662) :args (@t466)) % 126.75/130.50 (step @p581 :rule implies_elim :premises (@p579)) % 126.75/130.50 (step @p582 :rule cnf_or_pos :args (@t460)) % 126.75/130.50 (step @p583 :rule reordering :premises (@p582) :args ((or @t453 @t459 (not @t460)))) % 126.75/130.50 (step @p584 :rule refl :args (@t470)) % 126.75/130.50 (step @p585 :rule bool-double-not-elim :args (@t458)) % 126.75/130.50 (step @p586 :rule nary_cong :premises (@p585 @p584) :args ((or (not @t459) @t470))) % 126.75/130.50 (assume-push @p663 @t459) % 126.75/130.50 (step @p588 :rule skolemize :premises (@p663)) % 126.75/130.50 (step-pop @p664 :rule scope :premises (@p588)) % 126.75/130.50 (step @p589 :rule process_scope :premises (@p664) :args (@t470)) % 126.75/130.50 (step @p591 :rule implies_elim :premises (@p589)) % 126.75/130.50 (step @p592 :rule eq_resolve :premises (@p591 @p586)) % 126.75/130.50 (step @p593 :rule bool-double-not-elim :args (@t464)) % 126.75/130.50 (step @p594 :rule refl :args (@t469)) % 126.75/130.50 (step @p595 :rule nary_cong :premises (@p594 @p593) :args ((or @t469 (not @t465)))) % 126.75/130.50 (step @p596 :rule cnf_or_neg :args (@t469 0)) % 126.75/130.50 (step @p597 :rule eq_resolve :premises (@p596 @p595)) % 126.75/130.50 (step @p598 :rule reordering :premises (@p597) :args ((or @t464 @t469))) % 126.75/130.50 (step @p599 :rule bool-double-not-elim :args (@t467)) % 126.75/130.50 (step @p600 :rule nary_cong :premises (@p594 @p599) :args ((or @t469 (not @t468)))) % 126.75/130.50 (step @p601 :rule cnf_or_neg :args (@t469 1)) % 126.75/130.50 (step @p602 :rule eq_resolve :premises (@p601 @p600)) % 126.75/130.50 (step @p603 :rule reordering :premises (@p602) :args ((or @t467 @t469))) % 126.75/130.50 (step @p604 :rule cnf_or_pos :args (@t466)) % 126.75/130.50 (step @p605 :rule reordering :premises (@p604) :args ((or @t465 @t463 (not @t466)))) % 126.75/130.50 (step @p606 :rule refl :args (@t477)) % 126.75/130.50 (step @p607 :rule bool-double-not-elim :args (@t462)) % 126.75/130.50 (step @p608 :rule nary_cong :premises (@p607 @p606) :args ((or (not @t463) @t477))) % 126.75/130.50 (assume-push @p665 @t463) % 126.75/130.50 (step @p610 :rule skolemize :premises (@p665)) % 126.75/130.50 (step-pop @p666 :rule scope :premises (@p610)) % 126.75/130.50 (step @p611 :rule process_scope :premises (@p666) :args (@t477)) % 126.75/130.50 (step @p613 :rule implies_elim :premises (@p611)) % 126.75/130.50 (step @p614 :rule eq_resolve :premises (@p613 @p608)) % 126.75/130.50 (step @p615 :rule bool-double-not-elim :args (@t474)) % 126.75/130.50 (step @p616 :rule refl :args (@t476)) % 126.75/130.50 (step @p617 :rule nary_cong :premises (@p616 @p615) :args ((or @t476 (not @t475)))) % 126.75/130.50 (step @p618 :rule cnf_or_neg :args (@t476 0)) % 126.75/130.50 (step @p619 :rule eq_resolve :premises (@p618 @p617)) % 126.75/130.50 (step @p620 :rule reordering :premises (@p619) :args ((or @t474 @t476))) % 126.75/130.50 (step @p621 :rule bool-double-not-elim :args (@t472)) % 126.75/130.50 (step @p622 :rule nary_cong :premises (@p616 @p621) :args ((or @t476 (not @t473)))) % 126.75/130.50 (step @p623 :rule cnf_or_neg :args (@t476 2)) % 126.75/130.50 (step @p624 :rule eq_resolve :premises (@p623 @p622)) % 126.75/130.50 (step @p625 :rule reordering :premises (@p624) :args ((or @t472 @t476))) % 126.75/130.50 (step @p626 :rule cnf_or_pos :args (@t478)) % 126.75/130.50 (step @p627 :rule reordering :premises (@p626) :args ((or @t475 @t473 (not @t478)))) % 126.75/130.50 (assume-push @p667 @t467) % 126.75/130.50 (step @p629 :rule instantiate :premises (@p667) :args ((@list @t471))) % 126.75/130.50 (step-pop @p668 :rule scope :premises (@p629)) % 126.75/130.50 (step @p630 :rule process_scope :premises (@p668) :args (@t478)) % 126.75/130.50 (step @p632 :rule implies_elim :premises (@p630)) % 126.75/130.50 (step @p633 :rule chain_m_resolution :premises (@p632 @p627 @p625 @p620 @p614 @p605 @p603 @p598 @p592 @p583 @p581 @p576 @p571 @p566 @p560 @p558 @p554 @p545 @p540 @p538 @p534 @p532 @p523 @p521 @p480 @p479 @p473 @p468 @p459 @p457 @p455 @p448 @p443) :args ((or @t410 @t415) (@list true false false true true false false true true false false false false false false true true true false true false true false true false false true false true false false false) (@list @t478 @t472 @t474 @t476 @t462 @t467 @t464 @t469 @t458 @t466 @t460 @t450 @t452 @t456 @t457 @t454 @t448 @t445 @t447 @t444 @t422 @t441 @t431 @t417 @t418 @t428 @t420 @t404 @t412 @t414 @t408 @t405))) % 126.75/130.50 (step @p634 false :rule chain_m_resolution :premises (@p633 @p437 @p421) :args (false (@list true false) (@list @t410 @t407))) % 126.75/130.51 ) % 126.75/130.51 % SZS output end Proof % 126.75/130.51 % cvc5 exiting %------------------------------------------------------------------------------