%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO003+2 : TPTP v9.2.1. 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 : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:43:40 AM UTC 2026 % Result : Theorem 34.43s 34.68s % Output : Proof 34.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : PRO003+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 08:05:45 EDT 2026 % 0.08/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 34.43/34.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.43/34.68 --- Run --no-e-matching --full-saturate-quant at 6... % 34.43/34.68 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.43/34.68 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.43/34.68 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.43/34.68 % SZS status Theorem % 34.43/34.68 % SZS output start Proof % 34.43/34.68 ( % 34.43/34.68 (declare-sort $$unsorted 0) % 34.43/34.68 (declare-const tptp.tptp3 $$unsorted) % 34.43/34.68 (declare-const tptp.tptp2 $$unsorted) % 34.43/34.68 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.tptp1 $$unsorted) % 34.43/34.68 (declare-const tptp.activity (-> $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.atomic (-> $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.tptp4 $$unsorted) % 34.43/34.68 (declare-const tptp.legal (-> $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.tptp0 $$unsorted) % 34.43/34.68 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 34.43/34.68 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 34.43/34.68 (define @t1 () (@var "X3" $$unsorted)) % 34.43/34.68 (define @t2 () (@var "X2" $$unsorted)) % 34.43/34.68 (define @t3 () (@var "X0" $$unsorted)) % 34.43/34.68 (define @t4 () (@var "X1" $$unsorted)) % 34.43/34.68 (define @t5 () (@var "X6" $$unsorted)) % 34.43/34.68 (define @t6 () (@var "X4" $$unsorted)) % 34.43/34.68 (define @t7 () (@var "X5" $$unsorted)) % 34.43/34.68 (define @t8 () (@var "X8" $$unsorted)) % 34.43/34.68 (define @t9 () (@var "X7" $$unsorted)) % 34.43/34.68 (define @t10 () (= @t9 @t8)) % 34.43/34.68 (define @t11 () (@var "X9" $$unsorted)) % 34.43/34.68 (define @t12 () (tptp.root_occ @t8 @t11)) % 34.43/34.68 (define @t13 () (tptp.root_occ @t9 @t11)) % 34.43/34.68 (define @t14 () (@var "X10" $$unsorted)) % 34.43/34.68 (define @t15 () (tptp.occurrence_of @t11 @t14)) % 34.43/34.68 (define @t16 () (and @t15 @t13 @t12)) % 34.43/34.68 (define @t17 () (forall (@list @t9 @t8 @t11 @t14) (=> @t16 @t10))) % 34.43/34.68 (define @t18 () (@var "X12" $$unsorted)) % 34.43/34.68 (define @t19 () (@var "X11" $$unsorted)) % 34.43/34.68 (define @t20 () (@var "X13" $$unsorted)) % 34.43/34.68 (define @t21 () (@var "X14" $$unsorted)) % 34.43/34.68 (define @t22 () (@var "X17" $$unsorted)) % 34.43/34.68 (define @t23 () (@var "X16" $$unsorted)) % 34.43/34.68 (define @t24 () (@var "X18" $$unsorted)) % 34.43/34.68 (define @t25 () (tptp.min_precedes @t24 @t23 @t22)) % 34.43/34.68 (define @t26 () (@var "X15" $$unsorted)) % 34.43/34.68 (define @t27 () (tptp.min_precedes @t26 @t24 @t22)) % 34.43/34.68 (define @t28 () (and @t27 @t25)) % 34.43/34.68 (define @t29 () (@list @t24)) % 34.43/34.68 (define @t30 () (exists @t29 @t28)) % 34.43/34.68 (define @t31 () (not @t30)) % 34.43/34.68 (define @t32 () (tptp.min_precedes @t26 @t23 @t22)) % 34.43/34.68 (define @t33 () (and @t32 @t31)) % 34.43/34.68 (define @t34 () (tptp.next_subocc @t26 @t23 @t22)) % 34.43/34.68 (define @t35 () (= @t34 @t33)) % 34.43/34.68 (define @t36 () (forall (@list @t26 @t23 @t22) @t35)) % 34.43/34.68 (define @t37 () (@var "X20" $$unsorted)) % 34.43/34.68 (define @t38 () (@var "X19" $$unsorted)) % 34.43/34.68 (define @t39 () (and (tptp.arboreal @t38) (tptp.arboreal @t37))) % 34.43/34.68 (define @t40 () (@var "X21" $$unsorted)) % 34.43/34.68 (define @t41 () (tptp.next_subocc @t38 @t37 @t40)) % 34.43/34.68 (define @t42 () (forall (@list @t38 @t37 @t40) (=> @t41 @t39))) % 34.43/34.68 (define @t43 () (@var "X23" $$unsorted)) % 34.43/34.68 (define @t44 () (@var "X22" $$unsorted)) % 34.43/34.68 (define @t45 () (@var "X24" $$unsorted)) % 34.43/34.68 (define @t46 () (@var "X27" $$unsorted)) % 34.43/34.68 (define @t47 () (@var "X26" $$unsorted)) % 34.43/34.68 (define @t48 () (@var "X25" $$unsorted)) % 34.43/34.68 (define @t49 () (@var "X29" $$unsorted)) % 34.43/34.68 (define @t50 () (@var "X28" $$unsorted)) % 34.43/34.68 (define @t51 () (@var "X30" $$unsorted)) % 34.43/34.68 (define @t52 () (@var "X31" $$unsorted)) % 34.43/34.68 (define @t53 () (@var "X34" $$unsorted)) % 34.43/34.68 (define @t54 () (@var "X32" $$unsorted)) % 34.43/34.68 (define @t55 () (tptp.root @t54 @t53)) % 34.43/34.68 (define @t56 () (@var "X33" $$unsorted)) % 34.43/34.68 (define @t57 () (tptp.subactivity_occurrence @t54 @t56)) % 34.43/34.68 (define @t58 () (tptp.occurrence_of @t56 @t53)) % 34.43/34.68 (define @t59 () (and @t58 @t57 @t55)) % 34.43/34.68 (define @t60 () (@list @t53)) % 34.43/34.68 (define @t61 () (exists @t60 @t59)) % 34.43/34.68 (define @t62 () (tptp.root_occ @t54 @t56)) % 34.43/34.68 (define @t63 () (= @t62 @t61)) % 34.43/34.68 (define @t64 () (@list @t54 @t56)) % 34.43/34.68 (define @t65 () (forall @t64 @t63)) % 34.43/34.68 (define @t66 () (@var "X37" $$unsorted)) % 34.43/34.68 (define @t67 () (@var "X35" $$unsorted)) % 34.43/34.68 (define @t68 () (tptp.leaf @t67 @t66)) % 34.43/34.68 (define @t69 () (@var "X36" $$unsorted)) % 34.43/34.68 (define @t70 () (tptp.subactivity_occurrence @t67 @t69)) % 34.43/34.68 (define @t71 () (tptp.occurrence_of @t69 @t66)) % 34.43/34.68 (define @t72 () (and @t71 @t70 @t68)) % 34.43/34.68 (define @t73 () (@list @t66)) % 34.43/34.68 (define @t74 () (exists @t73 @t72)) % 34.43/34.68 (define @t75 () (tptp.leaf_occ @t67 @t69)) % 34.43/34.68 (define @t76 () (= @t75 @t74)) % 34.43/34.68 (define @t77 () (@list @t67 @t69)) % 34.43/34.68 (define @t78 () (forall @t77 @t76)) % 34.43/34.68 (define @t79 () (@var "X38" $$unsorted)) % 34.43/34.68 (define @t80 () (@var "X39" $$unsorted)) % 34.43/34.68 (define @t81 () (@var "X41" $$unsorted)) % 34.43/34.68 (define @t82 () (@var "X40" $$unsorted)) % 34.43/34.68 (define @t83 () (@var "X43" $$unsorted)) % 34.43/34.68 (define @t84 () (@var "X45" $$unsorted)) % 34.43/34.68 (define @t85 () (@var "X42" $$unsorted)) % 34.43/34.68 (define @t86 () (@var "X44" $$unsorted)) % 34.43/34.68 (define @t87 () (@var "X48" $$unsorted)) % 34.43/34.68 (define @t88 () (@var "X46" $$unsorted)) % 34.43/34.68 (define @t89 () (@var "X47" $$unsorted)) % 34.43/34.68 (define @t90 () (@var "X50" $$unsorted)) % 34.43/34.68 (define @t91 () (@var "X49" $$unsorted)) % 34.43/34.68 (define @t92 () (@var "X51" $$unsorted)) % 34.43/34.68 (define @t93 () (@var "X53" $$unsorted)) % 34.43/34.68 (define @t94 () (@var "X52" $$unsorted)) % 34.43/34.68 (define @t95 () (@var "X55" $$unsorted)) % 34.43/34.68 (define @t96 () (@var "X54" $$unsorted)) % 34.43/34.68 (define @t97 () (@var "X58" $$unsorted)) % 34.43/34.68 (define @t98 () (@var "X57" $$unsorted)) % 34.43/34.68 (define @t99 () (@var "X59" $$unsorted)) % 34.43/34.68 (define @t100 () (@var "X56" $$unsorted)) % 34.43/34.68 (define @t101 () (@var "X62" $$unsorted)) % 34.43/34.68 (define @t102 () (@var "X63" $$unsorted)) % 34.43/34.68 (define @t103 () (@var "X61" $$unsorted)) % 34.43/34.68 (define @t104 () (tptp.min_precedes @t103 @t102 @t101)) % 34.43/34.68 (define @t105 () (@list @t102)) % 34.43/34.68 (define @t106 () (exists @t105 @t104)) % 34.43/34.68 (define @t107 () (not @t106)) % 34.43/34.68 (define @t108 () (@var "X60" $$unsorted)) % 34.43/34.68 (define @t109 () (tptp.leaf_occ @t103 @t108)) % 34.43/34.68 (define @t110 () (tptp.occurrence_of @t108 @t101)) % 34.43/34.68 (define @t111 () (and @t110 @t109)) % 34.43/34.68 (define @t112 () (=> @t111 @t107)) % 34.43/34.68 (define @t113 () (@list @t108 @t103 @t101)) % 34.43/34.68 (define @t114 () (forall @t113 @t112)) % 34.43/34.68 (define @t115 () (@var "X66" $$unsorted)) % 34.43/34.68 (define @t116 () (@var "X65" $$unsorted)) % 34.43/34.68 (define @t117 () (= @t116 @t115)) % 34.43/34.68 (define @t118 () (@var "X64" $$unsorted)) % 34.43/34.68 (define @t119 () (tptp.occurrence_of @t118 @t115)) % 34.43/34.68 (define @t120 () (tptp.occurrence_of @t118 @t116)) % 34.43/34.68 (define @t121 () (and @t120 @t119)) % 34.43/34.68 (define @t122 () (forall (@list @t118 @t116 @t115) (=> @t121 @t117))) % 34.43/34.68 (define @t123 () (@var "X69" $$unsorted)) % 34.43/34.68 (define @t124 () (@var "X67" $$unsorted)) % 34.43/34.68 (define @t125 () (@var "X68" $$unsorted)) % 34.43/34.68 (define @t126 () (@var "X73" $$unsorted)) % 34.43/34.68 (define @t127 () (@var "X72" $$unsorted)) % 34.43/34.68 (define @t128 () (tptp.subactivity_occurrence @t127 @t126)) % 34.43/34.68 (define @t129 () (@var "X71" $$unsorted)) % 34.43/34.68 (define @t130 () (tptp.subactivity_occurrence @t129 @t126)) % 34.43/34.68 (define @t131 () (@var "X70" $$unsorted)) % 34.43/34.68 (define @t132 () (tptp.occurrence_of @t126 @t131)) % 34.43/34.68 (define @t133 () (and @t132 @t130 @t128)) % 34.43/34.68 (define @t134 () (@list @t126)) % 34.43/34.68 (define @t135 () (exists @t134 @t133)) % 34.43/34.68 (define @t136 () (tptp.min_precedes @t129 @t127 @t131)) % 34.43/34.68 (define @t137 () (=> @t136 @t135)) % 34.43/34.68 (define @t138 () (@list @t131 @t129 @t127)) % 34.43/34.68 (define @t139 () (forall @t138 @t137)) % 34.43/34.68 (define @t140 () (@var "X76" $$unsorted)) % 34.43/34.68 (define @t141 () (@var "X74" $$unsorted)) % 34.43/34.68 (define @t142 () (@var "X75" $$unsorted)) % 34.43/34.68 (define @t143 () (@var "X81" $$unsorted)) % 34.43/34.68 (define @t144 () (@var "X79" $$unsorted)) % 34.43/34.68 (define @t145 () (@var "X80" $$unsorted)) % 34.43/34.68 (define @t146 () (@var "X78" $$unsorted)) % 34.43/34.68 (define @t147 () (@var "X77" $$unsorted)) % 34.43/34.68 (define @t148 () (@var "X84" $$unsorted)) % 34.43/34.68 (define @t149 () (@var "X83" $$unsorted)) % 34.43/34.68 (define @t150 () (@var "X82" $$unsorted)) % 34.43/34.68 (define @t151 () (@var "X88" $$unsorted)) % 34.43/34.68 (define @t152 () (@var "X87" $$unsorted)) % 34.43/34.68 (define @t153 () (= @t152 @t151)) % 34.43/34.68 (define @t154 () (@var "X85" $$unsorted)) % 34.43/34.68 (define @t155 () (tptp.min_precedes @t151 @t152 @t154)) % 34.43/34.68 (define @t156 () (tptp.min_precedes @t152 @t151 @t154)) % 34.43/34.68 (define @t157 () (or @t156 @t155 @t153)) % 34.43/34.68 (define @t158 () (@var "X86" $$unsorted)) % 34.43/34.68 (define @t159 () (tptp.subactivity_occurrence @t151 @t158)) % 34.43/34.68 (define @t160 () (tptp.subactivity_occurrence @t152 @t158)) % 34.43/34.68 (define @t161 () (tptp.arboreal @t151)) % 34.43/34.68 (define @t162 () (tptp.arboreal @t152)) % 34.43/34.68 (define @t163 () (tptp.occurrence_of @t158 @t154)) % 34.43/34.68 (define @t164 () (and @t163 @t162 @t161 @t160 @t159)) % 34.43/34.68 (define @t165 () (forall (@list @t154 @t158 @t152 @t151) (=> @t164 @t157))) % 34.43/34.68 (define @t166 () (@var "X90" $$unsorted)) % 34.43/34.68 (define @t167 () (@var "X89" $$unsorted)) % 34.43/34.68 (define @t168 () (@var "X92" $$unsorted)) % 34.43/34.68 (define @t169 () (@var "X93" $$unsorted)) % 34.43/34.68 (define @t170 () (@var "X91" $$unsorted)) % 34.43/34.68 (define @t171 () (@var "X94" $$unsorted)) % 34.43/34.68 (define @t172 () (@var "X97" $$unsorted)) % 34.43/34.68 (define @t173 () (@var "X96" $$unsorted)) % 34.43/34.68 (define @t174 () (tptp.next_subocc @t173 @t172 tptp.tptp0)) % 34.43/34.68 (define @t175 () (@var "X95" $$unsorted)) % 34.43/34.68 (define @t176 () (tptp.leaf_occ @t172 @t175)) % 34.43/34.68 (define @t177 () (tptp.occurrence_of @t172 tptp.tptp3)) % 34.43/34.68 (define @t178 () (tptp.root_occ @t173 @t175)) % 34.43/34.68 (define @t179 () (tptp.occurrence_of @t173 tptp.tptp4)) % 34.43/34.68 (define @t180 () (and @t179 @t178 @t177 @t176 @t174)) % 34.43/34.68 (define @t181 () (@list @t173 @t172)) % 34.43/34.68 (define @t182 () (exists @t181 @t180)) % 34.43/34.68 (define @t183 () (tptp.occurrence_of @t175 tptp.tptp0)) % 34.43/34.68 (define @t184 () (=> @t183 @t182)) % 34.43/34.68 (define @t185 () (@list @t175)) % 34.43/34.68 (define @t186 () (forall @t185 @t184)) % 34.43/34.68 (define @t187 () (@var "X100" $$unsorted)) % 34.43/34.68 (define @t188 () (@var "X98" $$unsorted)) % 34.43/34.68 (define @t189 () (tptp.next_subocc @t188 @t187 tptp.tptp0)) % 34.43/34.68 (define @t190 () (tptp.occurrence_of @t187 tptp.tptp1)) % 34.43/34.68 (define @t191 () (and @t190 @t189)) % 34.43/34.68 (define @t192 () (@list @t187)) % 34.43/34.68 (define @t193 () (exists @t192 @t191)) % 34.43/34.68 (define @t194 () (@var "X99" $$unsorted)) % 34.43/34.68 (define @t195 () (tptp.root_occ @t188 @t194)) % 34.43/34.68 (define @t196 () (tptp.occurrence_of @t194 tptp.tptp0)) % 34.43/34.68 (define @t197 () (and @t196 @t195)) % 34.43/34.68 (define @t198 () (=> @t197 @t193)) % 34.43/34.68 (define @t199 () (@list @t188 @t194)) % 34.43/34.68 (define @t200 () (forall @t199 @t198)) % 34.43/34.68 (define @t201 () (@var "X101" $$unsorted)) % 34.43/34.68 (define @t202 () (tptp.occurrence_of @t201 tptp.tptp0)) % 34.43/34.68 (define @t203 () (@list @t201)) % 34.43/34.68 (define @t204 () (exists @t203 @t202)) % 34.43/34.68 (define @t205 () (forall @t29 (not @t28))) % 34.43/34.68 (define @t206 () (not @t205)) % 34.43/34.68 (define @t207 () (not @t174)) % 34.43/34.68 (define @t208 () (forall @t203 (not @t202))) % 34.43/34.68 (define @t209 () (@quantifiers_skolemize @t208 0)) % 34.43/34.68 (define @t210 () (not @t177)) % 34.43/34.68 (define @t211 () (not @t179)) % 34.43/34.68 (define @t212 () (forall @t181 (or @t211 (not (tptp.root_occ @t173 @t209)) @t210 (not (tptp.leaf_occ @t172 @t209)) @t207))) % 34.43/34.68 (define @t213 () (@quantifiers_skolemize @t212 0)) % 34.43/34.68 (define @t214 () (not @t190)) % 34.43/34.68 (define @t215 () (forall @t192 (or @t214 (not (tptp.next_subocc @t213 @t187 tptp.tptp0))))) % 34.43/34.68 (define @t216 () (@quantifiers_skolemize @t215 0)) % 34.43/34.68 (define @t217 () (@list @t213 @t216 tptp.tptp0)) % 34.43/34.68 (define @t218 () (not (forall @t192 (or @t214 (not @t189))))) % 34.43/34.68 (define @t219 () (not @t195)) % 34.43/34.68 (define @t220 () (not @t196)) % 34.43/34.68 (define @t221 () (forall @t192 (not @t191))) % 34.43/34.68 (define @t222 () (not @t221)) % 34.43/34.68 (define @t223 () (@list @t213 @t209)) % 34.43/34.68 (define @t224 () (not @t176)) % 34.43/34.68 (define @t225 () (not @t178)) % 34.43/34.68 (define @t226 () (or @t211 @t225 @t210 @t224 @t207)) % 34.43/34.68 (define @t227 () (not (forall @t181 @t226))) % 34.43/34.68 (define @t228 () (forall @t181 (not @t180))) % 34.43/34.68 (define @t229 () (not @t228)) % 34.43/34.68 (define @t230 () (not @t208)) % 34.43/34.68 (define @t231 () (tptp.occurrence_of @t209 tptp.tptp0)) % 34.43/34.68 (define @t232 () (not @t231)) % 34.43/34.68 (define @t233 () (not @t232)) % 34.43/34.68 (define @t234 () (@list true)) % 34.43/34.68 (define @t235 () (not @t212)) % 34.43/34.68 (define @t236 () (or @t232 @t235)) % 34.43/34.68 (define @t237 () (@list false false)) % 34.43/34.68 (define @t238 () (tptp.root_occ @t213 @t209)) % 34.43/34.68 (define @t239 () (@quantifiers_skolemize @t212 1)) % 34.43/34.68 (define @t240 () (not @t238)) % 34.43/34.68 (define @t241 () (or (not (tptp.occurrence_of @t213 tptp.tptp4)) @t240 (not (tptp.occurrence_of @t239 tptp.tptp3)) (not (tptp.leaf_occ @t239 @t209)) (not (tptp.next_subocc @t213 @t239 tptp.tptp0)))) % 34.43/34.68 (define @t242 () (not @t215)) % 34.43/34.68 (define @t243 () (or @t232 @t240 @t242)) % 34.43/34.68 (define @t244 () (@list false false false)) % 34.43/34.68 (define @t245 () (tptp.next_subocc @t213 @t216 tptp.tptp0)) % 34.43/34.68 (define @t246 () (not @t245)) % 34.43/34.68 (define @t247 () (tptp.occurrence_of @t216 tptp.tptp1)) % 34.43/34.68 (define @t248 () (not @t247)) % 34.43/34.68 (define @t249 () (or @t248 @t246)) % 34.43/34.68 (define @t250 () (@list @t249)) % 34.43/34.68 (define @t251 () (tptp.min_precedes @t213 @t216 tptp.tptp0)) % 34.43/34.68 (define @t252 () (and @t251 (forall @t29 (or (not (tptp.min_precedes @t213 @t24 tptp.tptp0)) (not (tptp.min_precedes @t24 @t216 tptp.tptp0)))))) % 34.43/34.68 (define @t253 () (= @t245 @t252)) % 34.43/34.68 (define @t254 () (@list false)) % 34.43/34.68 (define @t255 () (forall @t134 (or (not (tptp.occurrence_of @t126 tptp.tptp0)) (not (tptp.subactivity_occurrence @t213 @t126)) (not (tptp.subactivity_occurrence @t216 @t126))))) % 34.43/34.68 (define @t256 () (@quantifiers_skolemize @t255 0)) % 34.43/34.68 (define @t257 () (forall @t181 (or @t211 (not (tptp.root_occ @t173 @t256)) @t210 (not (tptp.leaf_occ @t172 @t256)) @t207))) % 34.43/34.68 (define @t258 () (@quantifiers_skolemize @t257 1)) % 34.43/34.68 (define @t259 () (@quantifiers_skolemize @t257 0)) % 34.43/34.68 (define @t260 () (@list @t259 @t258 tptp.tptp0)) % 34.43/34.68 (define @t261 () (not @t128)) % 34.43/34.68 (define @t262 () (not @t130)) % 34.43/34.68 (define @t263 () (not @t132)) % 34.43/34.68 (define @t264 () (or @t263 @t262 @t261)) % 34.43/34.68 (define @t265 () (not (forall @t134 @t264))) % 34.43/34.68 (define @t266 () (forall @t134 (not @t133))) % 34.43/34.68 (define @t267 () (not @t266)) % 34.43/34.68 (define @t268 () (not @t255)) % 34.43/34.68 (define @t269 () (not @t251)) % 34.43/34.68 (define @t270 () (or @t269 @t268)) % 34.43/34.68 (define @t271 () (tptp.occurrence_of @t256 tptp.tptp0)) % 34.43/34.68 (define @t272 () (tptp.subactivity_occurrence @t216 @t256)) % 34.43/34.68 (define @t273 () (not @t272)) % 34.43/34.68 (define @t274 () (tptp.subactivity_occurrence @t213 @t256)) % 34.43/34.68 (define @t275 () (not @t274)) % 34.43/34.68 (define @t276 () (not @t271)) % 34.43/34.68 (define @t277 () (or @t276 @t275 @t273)) % 34.43/34.68 (define @t278 () (@list @t277)) % 34.43/34.68 (define @t279 () (not @t257)) % 34.43/34.68 (define @t280 () (or @t276 @t279)) % 34.43/34.68 (define @t281 () (tptp.next_subocc @t259 @t258 tptp.tptp0)) % 34.43/34.68 (define @t282 () (not @t281)) % 34.43/34.68 (define @t283 () (tptp.leaf_occ @t258 @t256)) % 34.43/34.68 (define @t284 () (not @t283)) % 34.43/34.68 (define @t285 () (tptp.occurrence_of @t258 tptp.tptp3)) % 34.43/34.68 (define @t286 () (not @t285)) % 34.43/34.68 (define @t287 () (tptp.root_occ @t259 @t256)) % 34.43/34.68 (define @t288 () (not @t287)) % 34.43/34.68 (define @t289 () (or (not (tptp.occurrence_of @t259 tptp.tptp4)) @t288 @t286 @t284 @t282)) % 34.43/34.68 (define @t290 () (@list @t289)) % 34.43/34.68 (define @t291 () (forall @t29 (or (not (tptp.min_precedes @t259 @t24 tptp.tptp0)) (not (tptp.min_precedes @t24 @t258 tptp.tptp0))))) % 34.43/34.68 (define @t292 () (and (tptp.min_precedes @t259 @t258 tptp.tptp0) @t291)) % 34.43/34.68 (define @t293 () (= @t281 @t292)) % 34.43/34.68 (define @t294 () (not @t159)) % 34.43/34.68 (define @t295 () (not @t160)) % 34.43/34.68 (define @t296 () (not @t161)) % 34.43/34.68 (define @t297 () (not @t162)) % 34.43/34.68 (define @t298 () (not @t163)) % 34.43/34.68 (define @t299 () (or @t298 @t297 @t296 @t295 @t294)) % 34.43/34.68 (define @t300 () (@var "BOUND_VARIABLE_8048" $$unsorted)) % 34.43/34.68 (define @t301 () (not (tptp.min_precedes @t103 @t300 @t101))) % 34.43/34.68 (define @t302 () (not @t109)) % 34.43/34.68 (define @t303 () (not @t110)) % 34.43/34.68 (define @t304 () (or @t303 @t302 @t301)) % 34.43/34.68 (define @t305 () (@list @t300)) % 34.43/34.68 (define @t306 () (forall @t305 @t304)) % 34.43/34.68 (define @t307 () (forall @t305 @t301)) % 34.43/34.68 (define @t308 () (or @t303 @t302 @t307)) % 34.43/34.68 (define @t309 () (forall @t105 (not @t104))) % 34.43/34.68 (define @t310 () (or @t303 @t302 @t309)) % 34.43/34.68 (define @t311 () (tptp.min_precedes @t258 @t216 tptp.tptp0)) % 34.43/34.68 (define @t312 () (not @t311)) % 34.43/34.68 (define @t313 () (or @t276 @t284 @t312)) % 34.43/34.68 (define @t314 () (not @t68)) % 34.43/34.68 (define @t315 () (not @t71)) % 34.43/34.68 (define @t316 () (or @t315 @t314)) % 34.43/34.68 (define @t317 () (forall @t73 @t316)) % 34.43/34.68 (define @t318 () (not @t317)) % 34.43/34.68 (define @t319 () (not @t70)) % 34.43/34.68 (define @t320 () (or @t319 @t317)) % 34.43/34.68 (define @t321 () (= @t75 (not @t320))) % 34.43/34.68 (define @t322 () (or @t319 @t316)) % 34.43/34.68 (define @t323 () (or @t315 @t319 @t314)) % 34.43/34.68 (define @t324 () (forall @t73 (not @t72))) % 34.43/34.68 (define @t325 () (not @t324)) % 34.43/34.68 (define @t326 () (tptp.subactivity_occurrence @t258 @t256)) % 34.43/34.68 (define @t327 () (and @t326 (not (forall @t73 (or (not (tptp.occurrence_of @t256 @t66)) (not (tptp.leaf @t258 @t66))))))) % 34.43/34.68 (define @t328 () (= @t283 @t327)) % 34.43/34.68 (define @t329 () (tptp.arboreal @t258)) % 34.43/34.68 (define @t330 () (and (tptp.arboreal @t259) @t329)) % 34.43/34.68 (define @t331 () (or @t282 @t330)) % 34.43/34.68 (define @t332 () (not @t119)) % 34.43/34.68 (define @t333 () (not @t120)) % 34.43/34.68 (define @t334 () (= tptp.tptp3 tptp.tptp1)) % 34.43/34.68 (define @t335 () (tptp.occurrence_of @t258 tptp.tptp1)) % 34.43/34.68 (define @t336 () (not @t335)) % 34.43/34.68 (define @t337 () (or @t286 @t336 @t334)) % 34.43/34.68 (define @t338 () (= @t216 @t258)) % 34.43/34.68 (define @t339 () (not @t338)) % 34.43/34.68 (define @t340 () (@list false true)) % 34.43/34.68 (define @t341 () (tptp.arboreal @t216)) % 34.43/34.68 (define @t342 () (and (tptp.arboreal @t213) @t341)) % 34.43/34.68 (define @t343 () (or @t246 @t342)) % 34.43/34.68 (define @t344 () (tptp.min_precedes @t216 @t258 tptp.tptp0)) % 34.43/34.68 (define @t345 () (not @t326)) % 34.43/34.68 (define @t346 () (not @t329)) % 34.43/34.68 (define @t347 () (not @t341)) % 34.43/34.68 (define @t348 () (or @t276 @t347 @t346 @t273 @t345 @t344 @t311 @t338)) % 34.43/34.68 (define @t349 () (not @t344)) % 34.43/34.68 (define @t350 () (tptp.min_precedes @t259 @t216 tptp.tptp0)) % 34.43/34.68 (define @t351 () (not @t350)) % 34.43/34.68 (define @t352 () (or @t351 @t349)) % 34.43/34.68 (define @t353 () (not @t12)) % 34.43/34.68 (define @t354 () (not @t13)) % 34.43/34.68 (define @t355 () (not @t15)) % 34.43/34.68 (define @t356 () (or @t355 @t354 @t353)) % 34.43/34.68 (define @t357 () (not @t55)) % 34.43/34.68 (define @t358 () (not @t58)) % 34.43/34.68 (define @t359 () (or @t358 @t357)) % 34.43/34.68 (define @t360 () (forall @t60 @t359)) % 34.43/34.68 (define @t361 () (not @t360)) % 34.43/34.68 (define @t362 () (not @t57)) % 34.43/34.68 (define @t363 () (or @t362 @t360)) % 34.43/34.68 (define @t364 () (= @t62 (not @t363))) % 34.43/34.68 (define @t365 () (or @t362 @t359)) % 34.43/34.68 (define @t366 () (or @t358 @t362 @t357)) % 34.43/34.68 (define @t367 () (forall @t60 (not @t59))) % 34.43/34.68 (define @t368 () (not @t367)) % 34.43/34.68 (define @t369 () (not (tptp.root @t213 @t53))) % 34.43/34.68 (define @t370 () (forall @t60 (or (not (tptp.occurrence_of @t209 @t53)) @t369))) % 34.43/34.68 (define @t371 () (@quantifiers_skolemize @t370 0)) % 34.43/34.68 (define @t372 () (not @t370)) % 34.43/34.68 (define @t373 () (and (tptp.subactivity_occurrence @t213 @t209) @t372)) % 34.43/34.68 (define @t374 () (= @t238 @t373)) % 34.43/34.68 (define @t375 () (tptp.occurrence_of @t209 @t371)) % 34.43/34.68 (define @t376 () (tptp.root @t213 @t371)) % 34.43/34.68 (define @t377 () (not @t376)) % 34.43/34.68 (define @t378 () (not @t375)) % 34.43/34.68 (define @t379 () (or @t378 @t377)) % 34.43/34.68 (define @t380 () (@list @t379)) % 34.43/34.68 (define @t381 () (= tptp.tptp0 @t371)) % 34.43/34.68 (define @t382 () (or @t232 @t378 @t381)) % 34.43/34.68 (define @t383 () (tptp.root @t213 tptp.tptp0)) % 34.43/34.68 (define @t384 () (not @t381)) % 34.43/34.68 (define @t385 () (not @t383)) % 34.43/34.68 (define @t386 () (= true false)) % 34.43/34.68 (define @t387 () (and @t385 @t381 @t376)) % 34.43/34.68 (define @t388 () (or @t276 @t385)) % 34.43/34.68 (define @t389 () (not @t388)) % 34.43/34.68 (define @t390 () (forall @t60 (or (not (tptp.occurrence_of @t256 @t53)) @t369))) % 34.43/34.68 (define @t391 () (not @t390)) % 34.43/34.68 (define @t392 () (and @t274 @t391)) % 34.43/34.68 (define @t393 () (tptp.root_occ @t213 @t256)) % 34.43/34.68 (define @t394 () (= @t393 @t392)) % 34.43/34.68 (define @t395 () (= @t213 @t259)) % 34.43/34.68 (define @t396 () (not @t393)) % 34.43/34.68 (define @t397 () (or @t276 @t396 @t288 @t395)) % 34.43/34.68 (define @t398 () (not @t395)) % 34.43/34.68 (define @t399 () (and @t351 @t395 @t251)) % 34.43/34.68 (assume @p1 (forall (@list @t3 @t4 @t2 @t1) (=> (and (tptp.min_precedes @t3 @t4 @t1) (tptp.min_precedes @t4 @t2 @t1)) (tptp.min_precedes @t3 @t2 @t1)))) % 34.43/34.68 (assume @p2 (forall (@list @t6 @t7 @t5) (=> (and (tptp.earlier @t6 @t7) (tptp.earlier @t7 @t5)) (tptp.earlier @t6 @t5)))) % 34.43/34.68 (assume @p3 @t17) % 34.43/34.68 (assume @p4 (forall (@list @t19 @t18 @t20 @t21) (=> (and (tptp.occurrence_of @t20 @t21) (not (tptp.atomic @t21)) (tptp.leaf_occ @t19 @t20) (tptp.leaf_occ @t18 @t20)) (= @t19 @t18)))) % 34.43/34.68 (assume @p5 @t36) % 34.43/34.68 (assume @p6 @t42) % 34.43/34.68 (assume @p7 (forall (@list @t44 @t43 @t45) (=> (tptp.min_precedes @t44 @t43 @t45) (tptp.precedes @t44 @t43)))) % 34.43/34.68 (assume @p8 (forall (@list @t48 @t47 @t46) (=> (tptp.min_precedes @t48 @t47 @t46) (not (tptp.root @t47 @t46))))) % 34.43/34.68 (assume @p9 (forall (@list @t50 @t49) (= (tptp.precedes @t50 @t49) (and (tptp.earlier @t50 @t49) (tptp.legal @t49))))) % 34.43/34.68 (assume @p10 (forall (@list @t51 @t52) (=> (tptp.earlier @t51 @t52) (not (tptp.earlier @t52 @t51))))) % 34.43/34.68 (assume @p11 @t65) % 34.43/34.68 (assume @p12 @t78) % 34.43/34.68 (assume @p13 (forall (@list @t79 @t80) (=> (tptp.root @t79 @t80) (tptp.legal @t79)))) % 34.43/34.68 (assume @p14 (forall (@list @t82 @t81) (=> (tptp.occurrence_of @t82 @t81) (= (tptp.arboreal @t82) (tptp.atomic @t81))))) % 34.43/34.68 (assume @p15 (forall (@list @t85 @t83) (= (tptp.leaf @t85 @t83) (and (or (tptp.root @t85 @t83) (exists (@list @t86) (tptp.min_precedes @t86 @t85 @t83))) (not (exists (@list @t84) (tptp.min_precedes @t85 @t84 @t83))))))) % 34.43/34.68 (assume @p16 (forall (@list @t88 @t89) (= (tptp.atocc @t88 @t89) (exists (@list @t87) (and (tptp.subactivity @t89 @t87) (tptp.atomic @t87) (tptp.occurrence_of @t88 @t87)))))) % 34.43/34.68 (assume @p17 (forall (@list @t91 @t90) (=> (and (tptp.atocc @t91 @t90) (tptp.legal @t91)) (tptp.root @t91 @t90)))) % 34.43/34.68 (assume @p18 (forall (@list @t92) (=> (tptp.legal @t92) (tptp.arboreal @t92)))) % 34.43/34.68 (assume @p19 (forall (@list @t94) (=> (tptp.activity_occurrence @t94) (exists (@list @t93) (and (tptp.activity @t93) (tptp.occurrence_of @t94 @t93)))))) % 34.43/34.68 (assume @p20 (forall (@list @t96 @t95) (=> (tptp.subactivity_occurrence @t96 @t95) (and (tptp.activity_occurrence @t96) (tptp.activity_occurrence @t95))))) % 34.43/34.68 (assume @p21 (forall (@list @t100 @t98 @t97) (=> (and (tptp.occurrence_of @t100 @t97) (tptp.root_occ @t98 @t100)) (not (exists (@list @t99) (tptp.min_precedes @t99 @t98 @t97)))))) % 34.43/34.68 (assume @p22 @t114) % 34.43/34.68 (assume @p23 @t122) % 34.43/34.68 (assume @p24 (forall (@list @t124 @t125) (=> (and (tptp.leaf @t124 @t125) (not (tptp.atomic @t125))) (exists (@list @t123) (and (tptp.occurrence_of @t123 @t125) (tptp.leaf_occ @t124 @t123)))))) % 34.43/34.68 (assume @p25 @t139) % 34.43/34.68 (assume @p26 (forall (@list @t141 @t142) (=> (and (tptp.leaf @t141 @t142) (not (tptp.atomic @t142))) (exists (@list @t140) (and (tptp.occurrence_of @t140 @t142) (tptp.leaf_occ @t141 @t140)))))) % 34.43/34.68 (assume @p27 (forall (@list @t147 @t146 @t144) (=> (tptp.min_precedes @t146 @t144 @t147) (exists (@list @t145 @t143) (and (tptp.subactivity @t145 @t147) (tptp.subactivity @t143 @t147) (tptp.atocc @t146 @t145) (tptp.atocc @t144 @t143)))))) % 34.43/34.68 (assume @p28 (forall (@list @t150 @t149) (=> (tptp.root @t149 @t150) (exists (@list @t148) (and (tptp.subactivity @t148 @t150) (tptp.atocc @t149 @t148)))))) % 34.43/34.68 (assume @p29 @t165) % 34.43/34.68 (assume @p30 (forall (@list @t167 @t166) (=> (tptp.occurrence_of @t166 @t167) (and (tptp.activity @t167) (tptp.activity_occurrence @t166))))) % 34.43/34.68 (assume @p31 (forall (@list @t170 @t168) (=> (and (tptp.occurrence_of @t168 @t170) (not (tptp.atomic @t170))) (exists (@list @t169) (and (tptp.root @t169 @t170) (tptp.subactivity_occurrence @t169 @t168)))))) % 34.43/34.68 (assume @p32 (forall (@list @t171) (=> (tptp.activity @t171) (tptp.subactivity @t171 @t171)))) % 34.43/34.68 (assume @p33 @t186) % 34.43/34.68 (assume @p34 (tptp.activity tptp.tptp0)) % 34.43/34.68 (assume @p35 (not (tptp.atomic tptp.tptp0))) % 34.43/34.68 (assume @p36 (tptp.atomic tptp.tptp4)) % 34.43/34.68 (assume @p37 (tptp.atomic tptp.tptp3)) % 34.43/34.68 (assume @p38 (tptp.atomic tptp.tptp2)) % 34.43/34.68 (assume @p39 (tptp.atomic tptp.tptp1)) % 34.43/34.68 (assume @p40 (not (= tptp.tptp4 tptp.tptp1))) % 34.43/34.68 (assume @p41 (not (= tptp.tptp4 tptp.tptp3))) % 34.43/34.68 (assume @p42 (not (= tptp.tptp4 tptp.tptp2))) % 34.43/34.68 (assume @p43 (not (= tptp.tptp1 tptp.tptp3))) % 34.43/34.68 (assume @p44 (not (= tptp.tptp1 tptp.tptp2))) % 34.43/34.68 (assume @p45 (not (= tptp.tptp3 tptp.tptp2))) % 34.43/34.68 (assume @p46 @t200) % 34.43/34.68 (assume @p47 (not (not @t204))) % 34.43/34.68 (assume @p48 true) % 34.43/34.68 (step @p49 :rule bool-double-not-elim :args ((forall @t29 (or (not @t27) (not @t25))))) % 34.43/34.68 (step @p50 :rule bool-and-de-morgan :args (@t27 @t25 true)) % 34.43/34.68 (step @p51 :rule cong :premises (@p50) :args (@t205)) % 34.43/34.68 (step @p52 :rule cong :premises (@p51) :args (@t206)) % 34.43/34.68 (step @p53 :rule exists-elim :args ((= @t30 @t206))) % 34.43/34.68 (step @p54 :rule trans :premises (@p53 @p52)) % 34.43/34.68 (step @p55 :rule cong :premises (@p54) :args (@t31)) % 34.43/34.68 (step @p56 :rule trans :premises (@p55 @p49)) % 34.43/34.68 (step @p57 :rule refl :args (@t32)) % 34.43/34.68 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t33)) % 34.43/34.68 (step @p59 :rule refl :args (@t34)) % 34.43/34.68 (step @p60 :rule cong :premises (@p59 @p58) :args (@t35)) % 34.43/34.68 (step @p61 :rule cong :premises (@p60) :args (@t36)) % 34.43/34.68 (step @p62 :rule eq_resolve :premises (@p5 @p61)) % 34.43/34.68 (step @p63 :rule instantiate :premises (@p62) :args (@t217)) % 34.43/34.68 (step @p64 :rule aci_norm :args ((= (or (or @t220 @t219) @t218) (or @t220 @t219 @t218)))) % 34.43/34.68 (step @p65 :rule refl :args (@t218)) % 34.43/34.68 (step @p66 :rule bool-and-de-morgan :args (@t196 @t195 true)) % 34.43/34.68 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t197) @t218))) % 34.43/34.68 (step @p68 :rule trans :premises (@p67 @p64)) % 34.43/34.68 (step @p69 :rule bool-impl-elim :args (@t197 @t218)) % 34.43/34.68 (step @p70 :rule trans :premises (@p69 @p68)) % 34.43/34.68 (step @p71 :rule cong :premises (@p70) :args ((forall @t199 (=> @t197 @t218)))) % 34.43/34.68 (step @p72 :rule bool-and-de-morgan :args (@t190 @t189 true)) % 34.43/34.68 (step @p73 :rule cong :premises (@p72) :args (@t221)) % 34.43/34.68 (step @p74 :rule cong :premises (@p73) :args (@t222)) % 34.43/34.68 (step @p75 :rule exists-elim :args ((= @t193 @t222))) % 34.43/34.68 (step @p76 :rule trans :premises (@p75 @p74)) % 34.43/34.68 (step @p77 :rule refl :args (@t197)) % 34.43/34.68 (step @p78 :rule cong :premises (@p77 @p76) :args (@t198)) % 34.43/34.68 (step @p79 :rule cong :premises (@p78) :args (@t200)) % 34.43/34.68 (step @p80 :rule trans :premises (@p79 @p71)) % 34.43/34.68 (step @p81 :rule eq_resolve :premises (@p46 @p80)) % 34.43/34.68 (step @p82 :rule instantiate :premises (@p81) :args (@t223)) % 34.43/34.68 (step @p83 :rule bool-impl-elim :args (@t183 @t227)) % 34.43/34.68 (step @p84 :rule cong :premises (@p83) :args ((forall @t185 (=> @t183 @t227)))) % 34.43/34.68 (step @p85 :rule aci_norm :args ((= (or @t211 (or @t225 (or @t210 (or @t224 @t207)))) @t226))) % 34.43/34.68 (step @p86 :rule bool-and-de-morgan :args (@t176 @t174 true)) % 34.43/34.68 (step @p87 :rule refl :args (@t210)) % 34.43/34.68 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t210 (not (and @t176 @t174))))) % 34.43/34.68 (step @p89 :rule bool-and-de-morgan :args (@t177 @t176 (and @t174))) % 34.43/34.68 (step @p90 :rule trans :premises (@p89 @p88)) % 34.43/34.68 (step @p91 :rule refl :args (@t225)) % 34.43/34.68 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t225 (not (and @t177 @t176 @t174))))) % 34.43/34.68 (step @p93 :rule bool-and-de-morgan :args (@t178 @t177 (and @t176 @t174))) % 34.43/34.68 (step @p94 :rule trans :premises (@p93 @p92)) % 34.43/34.68 (step @p95 :rule refl :args (@t211)) % 34.43/34.68 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t211 (not (and @t178 @t177 @t176 @t174))))) % 34.43/34.68 (step @p97 :rule bool-and-de-morgan :args (@t179 @t178 (and @t177 @t176 @t174))) % 34.43/34.68 (step @p98 :rule trans :premises (@p97 @p96)) % 34.43/34.68 (step @p99 :rule trans :premises (@p98 @p85)) % 34.43/34.68 (step @p100 :rule cong :premises (@p99) :args (@t228)) % 34.43/34.68 (step @p101 :rule cong :premises (@p100) :args (@t229)) % 34.43/34.68 (step @p102 :rule exists-elim :args ((= @t182 @t229))) % 34.43/34.68 (step @p103 :rule trans :premises (@p102 @p101)) % 34.43/34.68 (step @p104 :rule refl :args (@t183)) % 34.43/34.68 (step @p105 :rule cong :premises (@p104 @p103) :args (@t184)) % 34.43/34.68 (step @p106 :rule cong :premises (@p105) :args (@t186)) % 34.43/34.68 (step @p107 :rule trans :premises (@p106 @p84)) % 34.43/34.68 (step @p108 :rule eq_resolve :premises (@p33 @p107)) % 34.43/34.68 (step @p109 :rule instantiate :premises (@p108) :args ((@list @t209))) % 34.43/34.68 (step @p110 :rule exists-elim :args ((= @t204 @t230))) % 34.43/34.68 (step @p111 :rule bool-double-not-elim :args (@t204)) % 34.43/34.68 (step @p112 :rule trans :premises (@p111 @p110)) % 34.43/34.68 (step @p113 :rule eq_resolve :premises (@p47 @p112)) % 34.43/34.68 (step @p114 :rule refl :args (@t231)) % 34.43/34.68 (step @p115 :rule bool-double-not-elim :args (@t208)) % 34.43/34.68 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or (not @t230) @t231))) % 34.43/34.68 (step @p117 :rule bool-double-not-elim :args (@t231)) % 34.43/34.68 (step @p118 :rule refl :args (@t230)) % 34.43/34.68 (step @p119 :rule cong :premises (@p118 @p117) :args ((=> @t230 @t233))) % 34.43/34.68 (assume-push @p553 @t230) % 34.43/34.68 (step @p121 :rule skolemize :premises (@p113)) % 34.43/34.68 (step-pop @p554 :rule scope :premises (@p121)) % 34.43/34.68 (step @p122 :rule process_scope :premises (@p554) :args (@t233)) % 34.43/34.68 (step @p124 :rule eq_resolve :premises (@p122 @p119)) % 34.43/34.68 (step @p125 :rule implies_elim :premises (@p124)) % 34.43/34.68 (step @p126 :rule eq_resolve :premises (@p125 @p116)) % 34.43/34.68 (step @p127 :rule chain_m_resolution :premises (@p126 @p113) :args (@t231 @t234 (@list @t208))) % 34.43/34.68 (step @p128 :rule cnf_or_pos :args (@t236)) % 34.43/34.68 (step @p129 :rule reordering :premises (@p128) :args ((or @t232 @t235 (not @t236)))) % 34.43/34.68 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p109) :args (@t235 @t237 (@list @t231 @t236))) % 34.43/34.68 (step @p131 :rule skolemize :premises (@p130)) % 34.43/34.68 (step @p132 :rule bool-double-not-elim :args (@t238)) % 34.43/34.68 (step @p133 :rule refl :args (@t241)) % 34.43/34.68 (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t241 (not @t240)))) % 34.43/34.68 (step @p135 :rule cnf_or_neg :args (@t241 1)) % 34.43/34.68 (step @p136 :rule eq_resolve :premises (@p135 @p134)) % 34.43/34.68 (step @p137 :rule reordering :premises (@p136) :args ((or @t238 @t241))) % 34.43/34.68 (step @p138 :rule chain_m_resolution :premises (@p137 @p131) :args (@t238 @t234 (@list @t241))) % 34.43/34.68 (step @p139 :rule cnf_or_pos :args (@t243)) % 34.43/34.68 (step @p140 :rule reordering :premises (@p139) :args ((or @t232 @t240 @t242 (not @t243)))) % 34.43/34.68 (step @p141 :rule chain_m_resolution :premises (@p140 @p127 @p138 @p82) :args (@t242 @t244 (@list @t231 @t238 @t243))) % 34.43/34.68 (step @p142 :rule skolemize :premises (@p141)) % 34.43/34.68 (step @p143 :rule bool-double-not-elim :args (@t245)) % 34.43/34.68 (step @p144 :rule refl :args (@t249)) % 34.43/34.68 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t249 (not @t246)))) % 34.43/34.68 (step @p146 :rule cnf_or_neg :args (@t249 1)) % 34.43/34.68 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 34.43/34.68 (step @p148 :rule reordering :premises (@p147) :args ((or @t245 @t249))) % 34.43/34.68 (step @p149 :rule chain_m_resolution :premises (@p148 @p142) :args (@t245 @t234 @t250)) % 34.43/34.68 (step @p150 :rule cnf_equiv_pos1 :args (@t253)) % 34.43/34.68 (step @p151 :rule reordering :premises (@p150) :args ((or @t246 @t252 (not @t253)))) % 34.43/34.68 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p63) :args (@t252 @t237 (@list @t245 @t253))) % 34.43/34.68 (step @p153 :rule cnf_and_pos :args (@t252 0)) % 34.43/34.68 (step @p154 :rule reordering :premises (@p153) :args ((or @t251 (not @t252)))) % 34.43/34.68 (step @p155 :rule chain_m_resolution :premises (@p154 @p152) :args (@t251 @t254 (@list @t252))) % 34.43/34.68 (step @p156 :rule instantiate :premises (@p62) :args (@t260)) % 34.43/34.68 (step @p157 :rule instantiate :premises (@p108) :args ((@list @t256))) % 34.43/34.68 (step @p158 :rule bool-impl-elim :args (@t136 @t265)) % 34.43/34.68 (step @p159 :rule cong :premises (@p158) :args ((forall @t138 (=> @t136 @t265)))) % 34.43/34.68 (step @p160 :rule aci_norm :args ((= (or @t263 (or @t262 @t261)) @t264))) % 34.43/34.68 (step @p161 :rule bool-and-de-morgan :args (@t130 @t128 true)) % 34.43/34.68 (step @p162 :rule refl :args (@t263)) % 34.43/34.68 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t263 (not (and @t130 @t128))))) % 34.43/34.68 (step @p164 :rule bool-and-de-morgan :args (@t132 @t130 (and @t128))) % 34.43/34.68 (step @p165 :rule trans :premises (@p164 @p163)) % 34.43/34.68 (step @p166 :rule trans :premises (@p165 @p160)) % 34.43/34.68 (step @p167 :rule cong :premises (@p166) :args (@t266)) % 34.43/34.68 (step @p168 :rule cong :premises (@p167) :args (@t267)) % 34.43/34.68 (step @p169 :rule exists-elim :args ((= @t135 @t267))) % 34.43/34.68 (step @p170 :rule trans :premises (@p169 @p168)) % 34.43/34.68 (step @p171 :rule refl :args (@t136)) % 34.43/34.68 (step @p172 :rule cong :premises (@p171 @p170) :args (@t137)) % 34.43/34.68 (step @p173 :rule cong :premises (@p172) :args (@t139)) % 34.43/34.68 (step @p174 :rule trans :premises (@p173 @p159)) % 34.43/34.68 (step @p175 :rule eq_resolve :premises (@p25 @p174)) % 34.43/34.68 (step @p176 :rule instantiate :premises (@p175) :args ((@list tptp.tptp0 @t213 @t216))) % 34.43/34.68 (step @p177 :rule cnf_or_pos :args (@t270)) % 34.43/34.68 (step @p178 :rule reordering :premises (@p177) :args ((or @t269 @t268 (not @t270)))) % 34.43/34.68 (step @p179 :rule chain_m_resolution :premises (@p178 @p155 @p176) :args (@t268 @t237 (@list @t251 @t270))) % 34.43/34.68 (step @p180 :rule skolemize :premises (@p179)) % 34.43/34.68 (step @p181 :rule bool-double-not-elim :args (@t271)) % 34.43/34.68 (step @p182 :rule refl :args (@t277)) % 34.43/34.68 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t277 (not @t276)))) % 34.43/34.68 (step @p184 :rule cnf_or_neg :args (@t277 0)) % 34.43/34.68 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 34.43/34.68 (step @p186 :rule reordering :premises (@p185) :args ((or @t271 @t277))) % 34.43/34.68 (step @p187 :rule chain_m_resolution :premises (@p186 @p180) :args (@t271 @t234 @t278)) % 34.43/34.68 (step @p188 :rule cnf_or_pos :args (@t280)) % 34.43/34.68 (step @p189 :rule reordering :premises (@p188) :args ((or @t276 @t279 (not @t280)))) % 34.43/34.68 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p157) :args (@t279 @t237 (@list @t271 @t280))) % 34.43/34.68 (step @p191 :rule skolemize :premises (@p190)) % 34.43/34.68 (step @p192 :rule bool-double-not-elim :args (@t281)) % 34.43/34.68 (step @p193 :rule refl :args (@t289)) % 34.43/34.68 (step @p194 :rule nary_cong :premises (@p193 @p192) :args ((or @t289 (not @t282)))) % 34.43/34.68 (step @p195 :rule cnf_or_neg :args (@t289 4)) % 34.43/34.68 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 34.43/34.68 (step @p197 :rule reordering :premises (@p196) :args ((or @t281 @t289))) % 34.43/34.68 (step @p198 :rule chain_m_resolution :premises (@p197 @p191) :args (@t281 @t234 @t290)) % 34.43/34.68 (step @p199 :rule cnf_equiv_pos1 :args (@t293)) % 34.43/34.68 (step @p200 :rule reordering :premises (@p199) :args ((or @t282 @t292 (not @t293)))) % 34.43/34.68 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p156) :args (@t292 @t237 (@list @t281 @t293))) % 34.43/34.68 (step @p202 :rule cnf_and_pos :args (@t292 1)) % 34.43/34.68 (step @p203 :rule reordering :premises (@p202) :args ((or @t291 (not @t292)))) % 34.43/34.68 (step @p204 :rule chain_m_resolution :premises (@p203 @p201) :args (@t291 @t254 (@list @t292))) % 34.43/34.68 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t216))) % 34.43/34.68 (step @p206 :rule aci_norm :args ((= (or @t299 @t157) (or @t298 @t297 @t296 @t295 @t294 @t156 @t155 @t153)))) % 34.43/34.68 (step @p207 :rule refl :args (@t157)) % 34.43/34.68 (step @p208 :rule aci_norm :args ((= (or @t298 (or @t297 (or @t296 (or @t295 @t294)))) @t299))) % 34.43/34.68 (step @p209 :rule bool-and-de-morgan :args (@t160 @t159 true)) % 34.43/34.68 (step @p210 :rule refl :args (@t296)) % 34.43/34.68 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or @t296 (not (and @t160 @t159))))) % 34.43/34.68 (step @p212 :rule bool-and-de-morgan :args (@t161 @t160 (and @t159))) % 34.43/34.68 (step @p213 :rule trans :premises (@p212 @p211)) % 34.43/34.68 (step @p214 :rule refl :args (@t297)) % 34.43/34.68 (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or @t297 (not (and @t161 @t160 @t159))))) % 34.43/34.68 (step @p216 :rule bool-and-de-morgan :args (@t162 @t161 (and @t160 @t159))) % 34.43/34.68 (step @p217 :rule trans :premises (@p216 @p215)) % 34.43/34.68 (step @p218 :rule refl :args (@t298)) % 34.43/34.68 (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or @t298 (not (and @t162 @t161 @t160 @t159))))) % 34.43/34.68 (step @p220 :rule bool-and-de-morgan :args (@t163 @t162 (and @t161 @t160 @t159))) % 34.43/34.68 (step @p221 :rule trans :premises (@p220 @p219)) % 34.43/34.68 (step @p222 :rule trans :premises (@p221 @p208)) % 34.43/34.68 (step @p223 :rule nary_cong :premises (@p222 @p207) :args ((or (not @t164) @t157))) % 34.43/34.68 (step @p224 :rule trans :premises (@p223 @p206)) % 34.43/34.68 (step @p225 :rule bool-impl-elim :args (@t164 @t157)) % 34.43/34.68 (step @p226 :rule trans :premises (@p225 @p224)) % 34.43/34.68 (step @p227 :rule cong :premises (@p226) :args (@t165)) % 34.43/34.68 (step @p228 :rule eq_resolve :premises (@p29 @p227)) % 34.43/34.68 (step @p229 :rule instantiate :premises (@p228) :args ((@list tptp.tptp0 @t256 @t216 @t258))) % 34.43/34.68 (step @p230 :rule quant-merge-prenex :args ((= (forall @t113 @t306) (forall (@list @t108 @t103 @t101 @t300) @t304)))) % 34.43/34.68 (step @p231 :rule alpha_equiv :args (@t307 (@list @t300) (@list @t102))) % 34.43/34.68 (step @p232 :rule refl :args (@t302)) % 34.43/34.68 (step @p233 :rule refl :args (@t303)) % 34.43/34.68 (step @p234 :rule nary_cong :premises (@p233 @p232 @p231) :args (@t308)) % 34.43/34.68 (step @p235 :rule quant-miniscope-or :args ((= @t306 @t308))) % 34.43/34.68 (step @p236 :rule trans :premises (@p235 @p234)) % 34.43/34.68 (step @p237 :rule symm :premises (@p236)) % 34.43/34.68 (step @p238 :rule cong :premises (@p237) :args ((forall @t113 @t310))) % 34.43/34.68 (step @p239 :rule trans :premises (@p238 @p230)) % 34.43/34.68 (step @p240 :rule aci_norm :args ((= (or (or @t303 @t302) @t309) @t310))) % 34.43/34.68 (step @p241 :rule refl :args (@t309)) % 34.43/34.68 (step @p242 :rule bool-and-de-morgan :args (@t110 @t109 true)) % 34.43/34.68 (step @p243 :rule nary_cong :premises (@p242 @p241) :args ((or (not @t111) @t309))) % 34.43/34.68 (step @p244 :rule trans :premises (@p243 @p240)) % 34.43/34.68 (step @p245 :rule bool-impl-elim :args (@t111 @t309)) % 34.43/34.68 (step @p246 :rule trans :premises (@p245 @p244)) % 34.43/34.68 (step @p247 :rule cong :premises (@p246) :args ((forall @t113 (=> @t111 @t309)))) % 34.43/34.68 (step @p248 :rule trans :premises (@p247 @p239)) % 34.43/34.68 (step @p249 :rule bool-double-not-elim :args (@t309)) % 34.43/34.68 (step @p250 :rule exists-elim :args ((= @t106 (not @t309)))) % 34.43/34.68 (step @p251 :rule cong :premises (@p250) :args (@t107)) % 34.43/34.68 (step @p252 :rule trans :premises (@p251 @p249)) % 34.43/34.68 (step @p253 :rule refl :args 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(@p182 @p501) :args ((or @t277 (not @t275)))) % 34.43/34.68 (step @p503 :rule cnf_or_neg :args (@t277 1)) % 34.43/34.68 (step @p504 :rule eq_resolve :premises (@p503 @p502)) % 34.43/34.68 (step @p505 :rule reordering :premises (@p504) :args ((or @t274 @t277))) % 34.43/34.68 (step @p506 :rule chain_m_resolution :premises (@p505 @p180) :args (@t274 @t234 @t278)) % 34.43/34.68 (step @p507 :rule bool-double-not-elim :args (@t390)) % 34.43/34.68 (step @p508 :rule refl :args (@t275)) % 34.43/34.68 (step @p509 :rule refl :args (@t392)) % 34.43/34.68 (step @p510 :rule nary_cong :premises (@p509 @p508 @p507) :args ((or @t392 @t275 (not @t391)))) % 34.43/34.68 (step @p511 :rule cnf_and_neg :args (@t392)) % 34.43/34.68 (step @p512 :rule eq_resolve :premises (@p511 @p510)) % 34.43/34.68 (step @p513 :rule reordering :premises (@p512) :args ((or @t275 @t390 @t392))) % 34.43/34.68 (step @p514 :rule chain_m_resolution :premises (@p513 @p506 @p500) :args (@t392 @t340 (@list @t274 @t390))) % 34.43/34.68 (step @p515 :rule cnf_equiv_pos2 :args (@t394)) % 34.43/34.68 (step @p516 :rule reordering :premises (@p515) :args ((or @t393 (not @t392) (not @t394)))) % 34.43/34.68 (step @p517 :rule chain_m_resolution :premises (@p516 @p514 @p433) :args (@t393 @t237 (@list @t392 @t394))) % 34.43/34.68 (step @p518 :rule cnf_or_pos :args (@t397)) % 34.43/34.68 (step @p519 :rule reordering :premises (@p518) :args ((or @t276 @t396 @t288 @t395 (not @t397)))) % 34.43/34.68 (step @p520 :rule chain_m_resolution :premises (@p519 @p187 @p517 @p403 @p397) :args (@t395 (@list false false false false) (@list @t271 @t393 @t287 @t397))) % 34.43/34.68 (step @p521 :rule bool-double-not-elim :args (@t350)) % 34.43/34.68 (step @p522 :rule refl :args (@t398)) % 34.43/34.68 (step @p523 :rule refl :args (@t269)) % 34.43/34.68 (step @p524 :rule nary_cong :premises (@p523 @p522 @p521) :args ((or @t269 @t398 (not @t351)))) % 34.43/34.68 (assume-push @p575 @t351) % 34.43/34.68 (assume-push @p576 @t395) % 34.43/34.68 (assume-push @p577 @t251) % 34.43/34.68 (step @p466 :rule evaluate :args (@t386)) % 34.43/34.68 (step @p528 :rule false_intro :premises (@p575)) % 34.43/34.68 (step @p529 :rule refl :args (tptp.tptp0)) % 34.43/34.68 (step @p530 :rule refl :args (@t216)) % 34.43/34.68 (step @p531 :rule cong :premises (@p576 @p530 @p529) :args (@t251)) % 34.43/34.68 (step @p532 :rule true_intro :premises (@p155)) % 34.43/34.68 (step @p533 :rule symm :premises (@p532)) % 34.43/34.68 (step @p534 :rule trans :premises (@p533 @p531 @p528)) % 34.43/34.68 (step @p535 false :rule eq_resolve :premises (@p534 @p466)) % 34.43/34.68 (step-pop @p578 :rule scope :premises (@p535)) % 34.43/34.68 (step-pop @p579 :rule scope :premises (@p578)) % 34.43/34.68 (step-pop @p580 :rule scope :premises (@p579)) % 34.43/34.68 (step @p536 :rule process_scope :premises (@p580) :args (false)) % 34.43/34.68 (assume-push @p581 @t251) % 34.43/34.68 (assume-push @p582 @t395) % 34.43/34.68 (assume-push @p583 @t351) % 34.43/34.68 (step @p543 :rule and_intro :premises (@p583 @p582 @p155)) % 34.43/34.68 (step-pop @p584 :rule scope :premises (@p543)) % 34.43/34.68 (step-pop @p585 :rule scope :premises (@p584)) % 34.43/34.68 (step-pop @p586 :rule scope :premises (@p585)) % 34.43/34.68 (step @p544 :rule process_scope :premises (@p586) :args (@t399)) % 34.43/34.68 (step @p548 :rule implies_elim :premises (@p544)) % 34.43/34.68 (step @p549 :rule resolution :premises (@p548 @p536) :args (true @t399)) % 34.43/34.68 (step @p550 :rule not_and :premises (@p549)) % 34.43/34.68 (step @p551 :rule eq_resolve :premises (@p550 @p524)) % 34.43/34.68 (step @p552 false :rule chain_m_resolution :premises (@p551 @p520 @p381 @p155) :args (false (@list false true false) (@list @t395 @t350 @t251))) % 34.43/34.68 ) % 34.43/34.68 % SZS output end Proof % 34.43/34.68 % cvc5 exiting %------------------------------------------------------------------------------