%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO014+4 : 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 : n019.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 08:43:45 AM UTC 2026 % Result : Theorem 0.94s 1.15s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PRO014+4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 13:09:19 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.94/1.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.94/1.15 % SZS status Theorem % 0.94/1.15 % SZS output start Proof % 0.94/1.15 ( % 0.94/1.15 (declare-sort $$unsorted 0) % 0.94/1.15 (declare-const tptp.tptp1 $$unsorted) % 0.94/1.15 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.legal (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.tptp0 $$unsorted) % 0.94/1.15 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.atomic (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.tptp3 $$unsorted) % 0.94/1.15 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.tptp4 $$unsorted) % 0.94/1.15 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.activity (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.tptp2 $$unsorted) % 0.94/1.15 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 0.94/1.15 (define @t1 () (@var "X1" $$unsorted)) % 0.94/1.15 (define @t2 () (@var "X2" $$unsorted)) % 0.94/1.15 (define @t3 () (@var "X0" $$unsorted)) % 0.94/1.15 (define @t4 () (@var "X3" $$unsorted)) % 0.94/1.15 (define @t5 () (@var "X7" $$unsorted)) % 0.94/1.15 (define @t6 () (@var "X5" $$unsorted)) % 0.94/1.15 (define @t7 () (@var "X6" $$unsorted)) % 0.94/1.15 (define @t8 () (@var "X4" $$unsorted)) % 0.94/1.15 (define @t9 () (@var "X10" $$unsorted)) % 0.94/1.15 (define @t10 () (@var "X11" $$unsorted)) % 0.94/1.15 (define @t11 () (@var "X8" $$unsorted)) % 0.94/1.15 (define @t12 () (tptp.min_precedes @t9 @t10 @t11)) % 0.94/1.15 (define @t13 () (not @t12)) % 0.94/1.15 (define @t14 () (tptp.arboreal @t9)) % 0.94/1.15 (define @t15 () (@var "X9" $$unsorted)) % 0.94/1.15 (define @t16 () (tptp.leaf_occ @t10 @t15)) % 0.94/1.15 (define @t17 () (tptp.subactivity_occurrence @t9 @t15)) % 0.94/1.15 (define @t18 () (tptp.occurrence_of @t15 @t11)) % 0.94/1.15 (define @t19 () (and @t18 @t17 @t16 @t14 @t13)) % 0.94/1.15 (define @t20 () (=> @t19 (= @t10 @t9))) % 0.94/1.15 (define @t21 () (@list @t11 @t15 @t9 @t10)) % 0.94/1.15 (define @t22 () (forall @t21 @t20)) % 0.94/1.15 (define @t23 () (@var "X13" $$unsorted)) % 0.94/1.15 (define @t24 () (@var "X12" $$unsorted)) % 0.94/1.15 (define @t25 () (@var "X17" $$unsorted)) % 0.94/1.15 (define @t26 () (@var "X16" $$unsorted)) % 0.94/1.15 (define @t27 () (@var "X14" $$unsorted)) % 0.94/1.15 (define @t28 () (@var "X15" $$unsorted)) % 0.94/1.15 (define @t29 () (@var "X20" $$unsorted)) % 0.94/1.15 (define @t30 () (@var "X19" $$unsorted)) % 0.94/1.15 (define @t31 () (@var "X18" $$unsorted)) % 0.94/1.15 (define @t32 () (@var "X24" $$unsorted)) % 0.94/1.15 (define @t33 () (@var "X23" $$unsorted)) % 0.94/1.15 (define @t34 () (@var "X22" $$unsorted)) % 0.94/1.15 (define @t35 () (@var "X21" $$unsorted)) % 0.94/1.15 (define @t36 () (@var "X27" $$unsorted)) % 0.94/1.15 (define @t37 () (@var "X25" $$unsorted)) % 0.94/1.15 (define @t38 () (tptp.leaf_occ @t37 @t36)) % 0.94/1.15 (define @t39 () (@var "X26" $$unsorted)) % 0.94/1.15 (define @t40 () (tptp.occurrence_of @t36 @t39)) % 0.94/1.15 (define @t41 () (and @t40 @t38)) % 0.94/1.15 (define @t42 () (@list @t36)) % 0.94/1.15 (define @t43 () (exists @t42 @t41)) % 0.94/1.15 (define @t44 () (tptp.atomic @t39)) % 0.94/1.15 (define @t45 () (not @t44)) % 0.94/1.15 (define @t46 () (tptp.leaf @t37 @t39)) % 0.94/1.15 (define @t47 () (and @t46 @t45)) % 0.94/1.15 (define @t48 () (=> @t47 @t43)) % 0.94/1.15 (define @t49 () (@list @t37 @t39)) % 0.94/1.15 (define @t50 () (forall @t49 @t48)) % 0.94/1.15 (define @t51 () (@var "X30" $$unsorted)) % 0.94/1.15 (define @t52 () (@var "X29" $$unsorted)) % 0.94/1.15 (define @t53 () (@var "X28" $$unsorted)) % 0.94/1.15 (define @t54 () (@var "X33" $$unsorted)) % 0.94/1.15 (define @t55 () (@var "X34" $$unsorted)) % 0.94/1.15 (define @t56 () (@var "X32" $$unsorted)) % 0.94/1.15 (define @t57 () (@var "X31" $$unsorted)) % 0.94/1.15 (define @t58 () (@var "X37" $$unsorted)) % 0.94/1.15 (define @t59 () (@var "X36" $$unsorted)) % 0.94/1.15 (define @t60 () (@var "X38" $$unsorted)) % 0.94/1.15 (define @t61 () (@var "X35" $$unsorted)) % 0.94/1.15 (define @t62 () (@var "X40" $$unsorted)) % 0.94/1.15 (define @t63 () (@var "X39" $$unsorted)) % 0.94/1.15 (define @t64 () (@var "X42" $$unsorted)) % 0.94/1.15 (define @t65 () (@var "X41" $$unsorted)) % 0.94/1.15 (define @t66 () (@var "X43" $$unsorted)) % 0.94/1.15 (define @t67 () (@var "X46" $$unsorted)) % 0.94/1.15 (define @t68 () (@var "X44" $$unsorted)) % 0.94/1.15 (define @t69 () (@var "X45" $$unsorted)) % 0.94/1.15 (define @t70 () (@var "X48" $$unsorted)) % 0.94/1.15 (define @t71 () (@var "X50" $$unsorted)) % 0.94/1.15 (define @t72 () (@var "X47" $$unsorted)) % 0.94/1.15 (define @t73 () (@var "X49" $$unsorted)) % 0.94/1.15 (define @t74 () (@var "X52" $$unsorted)) % 0.94/1.15 (define @t75 () (@var "X51" $$unsorted)) % 0.94/1.15 (define @t76 () (= (tptp.arboreal @t75) (tptp.atomic @t74))) % 0.94/1.15 (define @t77 () (tptp.occurrence_of @t75 @t74)) % 0.94/1.15 (define @t78 () (@list @t75 @t74)) % 0.94/1.15 (define @t79 () (forall @t78 (=> @t77 @t76))) % 0.94/1.15 (define @t80 () (@var "X53" $$unsorted)) % 0.94/1.15 (define @t81 () (@var "X54" $$unsorted)) % 0.94/1.15 (define @t82 () (@var "X57" $$unsorted)) % 0.94/1.15 (define @t83 () (@var "X55" $$unsorted)) % 0.94/1.15 (define @t84 () (tptp.leaf @t83 @t82)) % 0.94/1.15 (define @t85 () (@var "X56" $$unsorted)) % 0.94/1.15 (define @t86 () (tptp.subactivity_occurrence @t83 @t85)) % 0.94/1.15 (define @t87 () (tptp.occurrence_of @t85 @t82)) % 0.94/1.15 (define @t88 () (and @t87 @t86 @t84)) % 0.94/1.15 (define @t89 () (@list @t82)) % 0.94/1.15 (define @t90 () (exists @t89 @t88)) % 0.94/1.15 (define @t91 () (tptp.leaf_occ @t83 @t85)) % 0.94/1.15 (define @t92 () (= @t91 @t90)) % 0.94/1.15 (define @t93 () (@list @t83 @t85)) % 0.94/1.15 (define @t94 () (forall @t93 @t92)) % 0.94/1.15 (define @t95 () (@var "X60" $$unsorted)) % 0.94/1.15 (define @t96 () (@var "X58" $$unsorted)) % 0.94/1.15 (define @t97 () (@var "X59" $$unsorted)) % 0.94/1.15 (define @t98 () (@var "X61" $$unsorted)) % 0.94/1.15 (define @t99 () (@var "X62" $$unsorted)) % 0.94/1.15 (define @t100 () (not (tptp.earlier @t99 @t98))) % 0.94/1.15 (define @t101 () (tptp.earlier @t98 @t99)) % 0.94/1.15 (define @t102 () (forall (@list @t98 @t99) (=> @t101 @t100))) % 0.94/1.15 (define @t103 () (@var "X64" $$unsorted)) % 0.94/1.15 (define @t104 () (@var "X63" $$unsorted)) % 0.94/1.15 (define @t105 () (@var "X67" $$unsorted)) % 0.94/1.15 (define @t106 () (@var "X66" $$unsorted)) % 0.94/1.15 (define @t107 () (@var "X65" $$unsorted)) % 0.94/1.15 (define @t108 () (@var "X70" $$unsorted)) % 0.94/1.15 (define @t109 () (@var "X69" $$unsorted)) % 0.94/1.15 (define @t110 () (@var "X71" $$unsorted)) % 0.94/1.15 (define @t111 () (@var "X68" $$unsorted)) % 0.94/1.15 (define @t112 () (@var "X73" $$unsorted)) % 0.94/1.15 (define @t113 () (@var "X72" $$unsorted)) % 0.94/1.15 (define @t114 () (tptp.precedes @t113 @t112)) % 0.94/1.15 (define @t115 () (@var "X74" $$unsorted)) % 0.94/1.15 (define @t116 () (tptp.min_precedes @t113 @t112 @t115)) % 0.94/1.15 (define @t117 () (forall (@list @t113 @t112 @t115) (=> @t116 @t114))) % 0.94/1.15 (define @t118 () (@var "X76" $$unsorted)) % 0.94/1.15 (define @t119 () (@var "X75" $$unsorted)) % 0.94/1.15 (define @t120 () (@var "X77" $$unsorted)) % 0.94/1.15 (define @t121 () (@var "X80" $$unsorted)) % 0.94/1.15 (define @t122 () (@var "X79" $$unsorted)) % 0.94/1.15 (define @t123 () (@var "X81" $$unsorted)) % 0.94/1.15 (define @t124 () (tptp.min_precedes @t123 @t122 @t121)) % 0.94/1.15 (define @t125 () (@var "X78" $$unsorted)) % 0.94/1.15 (define @t126 () (tptp.min_precedes @t125 @t123 @t121)) % 0.94/1.15 (define @t127 () (and @t126 @t124)) % 0.94/1.15 (define @t128 () (@list @t123)) % 0.94/1.15 (define @t129 () (exists @t128 @t127)) % 0.94/1.15 (define @t130 () (not @t129)) % 0.94/1.15 (define @t131 () (tptp.min_precedes @t125 @t122 @t121)) % 0.94/1.15 (define @t132 () (and @t131 @t130)) % 0.94/1.15 (define @t133 () (tptp.next_subocc @t125 @t122 @t121)) % 0.94/1.15 (define @t134 () (= @t133 @t132)) % 0.94/1.15 (define @t135 () (forall (@list @t125 @t122 @t121) @t134)) % 0.94/1.15 (define @t136 () (@var "X85" $$unsorted)) % 0.94/1.15 (define @t137 () (@var "X82" $$unsorted)) % 0.94/1.15 (define @t138 () (tptp.subactivity_occurrence @t137 @t136)) % 0.94/1.15 (define @t139 () (@var "X83" $$unsorted)) % 0.94/1.15 (define @t140 () (tptp.subactivity_occurrence @t139 @t136)) % 0.94/1.15 (define @t141 () (@var "X84" $$unsorted)) % 0.94/1.15 (define @t142 () (tptp.occurrence_of @t136 @t141)) % 0.94/1.15 (define @t143 () (tptp.min_precedes @t137 @t139 @t141)) % 0.94/1.15 (define @t144 () (and @t143 @t142 @t140)) % 0.94/1.15 (define @t145 () (forall (@list @t137 @t139 @t141 @t136) (=> @t144 @t138))) % 0.94/1.15 (define @t146 () (@var "X87" $$unsorted)) % 0.94/1.15 (define @t147 () (@var "X86" $$unsorted)) % 0.94/1.15 (define @t148 () (@var "X88" $$unsorted)) % 0.94/1.15 (define @t149 () (@var "X89" $$unsorted)) % 0.94/1.15 (define @t150 () (@var "X91" $$unsorted)) % 0.94/1.15 (define @t151 () (@var "X90" $$unsorted)) % 0.94/1.15 (define @t152 () (@var "X92" $$unsorted)) % 0.94/1.15 (define @t153 () (@var "X93" $$unsorted)) % 0.94/1.15 (define @t154 () (@var "X96" $$unsorted)) % 0.94/1.15 (define @t155 () (@var "X94" $$unsorted)) % 0.94/1.15 (define @t156 () (@var "X95" $$unsorted)) % 0.94/1.15 (define @t157 () (@var "X100" $$unsorted)) % 0.94/1.15 (define @t158 () (@var "X99" $$unsorted)) % 0.94/1.15 (define @t159 () (@var "X98" $$unsorted)) % 0.94/1.15 (define @t160 () (@var "X97" $$unsorted)) % 0.94/1.15 (define @t161 () (@var "X105" $$unsorted)) % 0.94/1.15 (define @t162 () (tptp.leaf @t161 tptp.tptp0)) % 0.94/1.15 (define @t163 () (@var "X104" $$unsorted)) % 0.94/1.15 (define @t164 () (tptp.next_subocc @t163 @t161 tptp.tptp0)) % 0.94/1.15 (define @t165 () (tptp.occurrence_of @t161 tptp.tptp1)) % 0.94/1.15 (define @t166 () (tptp.occurrence_of @t161 tptp.tptp2)) % 0.94/1.15 (define @t167 () (or @t166 @t165)) % 0.94/1.15 (define @t168 () (@var "X103" $$unsorted)) % 0.94/1.15 (define @t169 () (tptp.next_subocc @t168 @t163 tptp.tptp0)) % 0.94/1.15 (define @t170 () (tptp.occurrence_of @t163 tptp.tptp4)) % 0.94/1.15 (define @t171 () (@var "X101" $$unsorted)) % 0.94/1.15 (define @t172 () (tptp.next_subocc @t171 @t168 tptp.tptp0)) % 0.94/1.15 (define @t173 () (tptp.occurrence_of @t168 tptp.tptp3)) % 0.94/1.15 (define @t174 () (and @t173 @t172 @t170 @t169 @t167 @t164 @t162)) % 0.94/1.15 (define @t175 () (@list @t168 @t163 @t161)) % 0.94/1.15 (define @t176 () (exists @t175 @t174)) % 0.94/1.15 (define @t177 () (@var "X102" $$unsorted)) % 0.94/1.15 (define @t178 () (tptp.leaf_occ @t171 @t177)) % 0.94/1.15 (define @t179 () (not @t178)) % 0.94/1.15 (define @t180 () (tptp.arboreal @t171)) % 0.94/1.15 (define @t181 () (tptp.subactivity_occurrence @t171 @t177)) % 0.94/1.15 (define @t182 () (tptp.occurrence_of @t177 tptp.tptp0)) % 0.94/1.15 (define @t183 () (and @t182 @t181 @t180 @t179)) % 0.94/1.15 (define @t184 () (=> @t183 @t176)) % 0.94/1.15 (define @t185 () (@list @t171 @t177)) % 0.94/1.15 (define @t186 () (forall @t185 @t184)) % 0.94/1.15 (define @t187 () (tptp.atomic tptp.tptp0)) % 0.94/1.15 (define @t188 () (tptp.atomic tptp.tptp3)) % 0.94/1.15 (define @t189 () (@var "X109" $$unsorted)) % 0.94/1.15 (define @t190 () (tptp.leaf @t189 tptp.tptp0)) % 0.94/1.15 (define @t191 () (@var "X108" $$unsorted)) % 0.94/1.15 (define @t192 () (tptp.min_precedes @t191 @t189 tptp.tptp0)) % 0.94/1.15 (define @t193 () (tptp.occurrence_of @t189 tptp.tptp1)) % 0.94/1.15 (define @t194 () (tptp.occurrence_of @t189 tptp.tptp2)) % 0.94/1.15 (define @t195 () (or @t194 @t193)) % 0.94/1.15 (define @t196 () (@var "X106" $$unsorted)) % 0.94/1.15 (define @t197 () (tptp.next_subocc @t196 @t191 tptp.tptp0)) % 0.94/1.15 (define @t198 () (tptp.occurrence_of @t191 tptp.tptp3)) % 0.94/1.15 (define @t199 () (and @t198 @t197 @t195 @t192 @t190)) % 0.94/1.15 (define @t200 () (@list @t191 @t189)) % 0.94/1.15 (define @t201 () (exists @t200 @t199)) % 0.94/1.15 (define @t202 () (@var "X107" $$unsorted)) % 0.94/1.15 (define @t203 () (tptp.leaf_occ @t196 @t202)) % 0.94/1.15 (define @t204 () (not @t203)) % 0.94/1.15 (define @t205 () (tptp.arboreal @t196)) % 0.94/1.15 (define @t206 () (tptp.subactivity_occurrence @t196 @t202)) % 0.94/1.15 (define @t207 () (tptp.occurrence_of @t202 tptp.tptp0)) % 0.94/1.15 (define @t208 () (and @t207 @t206 @t205 @t204)) % 0.94/1.15 (define @t209 () (=> @t208 @t201)) % 0.94/1.15 (define @t210 () (@list @t196 @t202)) % 0.94/1.15 (define @t211 () (forall @t210 @t209)) % 0.94/1.15 (define @t212 () (not @t211)) % 0.94/1.15 (define @t213 () (not @t162)) % 0.94/1.15 (define @t214 () (not @t164)) % 0.94/1.15 (define @t215 () (and (not @t166) (not @t165))) % 0.94/1.15 (define @t216 () (not @t169)) % 0.94/1.15 (define @t217 () (not @t170)) % 0.94/1.15 (define @t218 () (not @t190)) % 0.94/1.15 (define @t219 () (not @t192)) % 0.94/1.15 (define @t220 () (and (not @t194) (not @t193))) % 0.94/1.15 (define @t221 () (not @t197)) % 0.94/1.15 (define @t222 () (not @t198)) % 0.94/1.15 (define @t223 () (not (forall @t200 (or @t222 @t221 @t220 @t219 @t218)))) % 0.94/1.15 (define @t224 () (not @t205)) % 0.94/1.15 (define @t225 () (not @t206)) % 0.94/1.15 (define @t226 () (not @t207)) % 0.94/1.15 (define @t227 () (or @t226 @t225 @t224 @t203 @t223)) % 0.94/1.15 (define @t228 () (forall @t210 @t227)) % 0.94/1.15 (define @t229 () (@quantifiers_skolemize @t228 0)) % 0.94/1.15 (define @t230 () (not @t173)) % 0.94/1.15 (define @t231 () (forall @t175 (or @t230 (not (tptp.next_subocc @t229 @t168 tptp.tptp0)) @t217 @t216 @t215 @t214 @t213))) % 0.94/1.15 (define @t232 () (@quantifiers_skolemize @t231 2)) % 0.94/1.15 (define @t233 () (@quantifiers_skolemize @t231 1)) % 0.94/1.15 (define @t234 () (@list @t233 @t232 tptp.tptp0)) % 0.94/1.15 (define @t235 () (forall @t128 (not @t127))) % 0.94/1.15 (define @t236 () (not @t235)) % 0.94/1.15 (define @t237 () (not @t172)) % 0.94/1.15 (define @t238 () (not (forall @t175 (or @t230 @t237 @t217 @t216 @t215 @t214 @t213)))) % 0.94/1.15 (define @t239 () (not @t180)) % 0.94/1.15 (define @t240 () (not @t181)) % 0.94/1.15 (define @t241 () (not @t182)) % 0.94/1.15 (define @t242 () (not @t179)) % 0.94/1.15 (define @t243 () (or @t241 @t240 @t239 @t242)) % 0.94/1.15 (define @t244 () (not @t167)) % 0.94/1.15 (define @t245 () (or @t230 @t237 @t217 @t216 @t244 @t214 @t213)) % 0.94/1.15 (define @t246 () (forall @t175 (not @t174))) % 0.94/1.15 (define @t247 () (not @t246)) % 0.94/1.15 (define @t248 () (@quantifiers_skolemize @t228 1)) % 0.94/1.15 (define @t249 () (not @t204)) % 0.94/1.15 (define @t250 () (or @t226 @t225 @t224 @t249)) % 0.94/1.15 (define @t251 () (not @t195)) % 0.94/1.15 (define @t252 () (or @t222 @t221 @t251 @t219 @t218)) % 0.94/1.15 (define @t253 () (forall @t200 (not @t199))) % 0.94/1.15 (define @t254 () (not @t253)) % 0.94/1.15 (define @t255 () (forall @t200 (or @t222 (not (tptp.next_subocc @t229 @t191 tptp.tptp0)) @t220 @t219 @t218))) % 0.94/1.15 (define @t256 () (not @t255)) % 0.94/1.15 (define @t257 () (tptp.leaf_occ @t229 @t248)) % 0.94/1.15 (define @t258 () (tptp.arboreal @t229)) % 0.94/1.15 (define @t259 () (not @t258)) % 0.94/1.15 (define @t260 () (tptp.subactivity_occurrence @t229 @t248)) % 0.94/1.15 (define @t261 () (not @t260)) % 0.94/1.15 (define @t262 () (tptp.occurrence_of @t248 tptp.tptp0)) % 0.94/1.15 (define @t263 () (not @t262)) % 0.94/1.15 (define @t264 () (or @t263 @t261 @t259 @t257 @t256)) % 0.94/1.15 (define @t265 () (@list true)) % 0.94/1.15 (define @t266 () (@list @t264)) % 0.94/1.15 (define @t267 () (not @t231)) % 0.94/1.15 (define @t268 () (or @t263 @t261 @t259 @t257 @t267)) % 0.94/1.15 (define @t269 () (tptp.next_subocc @t233 @t232 tptp.tptp0)) % 0.94/1.15 (define @t270 () (tptp.leaf @t232 tptp.tptp0)) % 0.94/1.15 (define @t271 () (not @t270)) % 0.94/1.15 (define @t272 () (not @t269)) % 0.94/1.15 (define @t273 () (and (not (tptp.occurrence_of @t232 tptp.tptp2)) (not (tptp.occurrence_of @t232 tptp.tptp1)))) % 0.94/1.15 (define @t274 () (@quantifiers_skolemize @t231 0)) % 0.94/1.15 (define @t275 () (tptp.next_subocc @t274 @t233 tptp.tptp0)) % 0.94/1.15 (define @t276 () (not @t275)) % 0.94/1.15 (define @t277 () (tptp.next_subocc @t229 @t274 tptp.tptp0)) % 0.94/1.15 (define @t278 () (not @t277)) % 0.94/1.15 (define @t279 () (tptp.occurrence_of @t274 tptp.tptp3)) % 0.94/1.15 (define @t280 () (not @t279)) % 0.94/1.15 (define @t281 () (or @t280 @t278 (not (tptp.occurrence_of @t233 tptp.tptp4)) @t276 @t273 @t272 @t271)) % 0.94/1.15 (define @t282 () (@list @t281)) % 0.94/1.15 (define @t283 () (tptp.min_precedes @t233 @t232 tptp.tptp0)) % 0.94/1.15 (define @t284 () (and @t283 (forall @t128 (or (not (tptp.min_precedes @t233 @t123 tptp.tptp0)) (not (tptp.min_precedes @t123 @t232 tptp.tptp0)))))) % 0.94/1.15 (define @t285 () (= @t269 @t284)) % 0.94/1.15 (define @t286 () (@list false false)) % 0.94/1.15 (define @t287 () (@list false)) % 0.94/1.15 (define @t288 () (tptp.precedes @t233 @t232)) % 0.94/1.15 (define @t289 () (not @t283)) % 0.94/1.15 (define @t290 () (or @t289 @t288)) % 0.94/1.15 (define @t291 () (tptp.earlier @t233 @t232)) % 0.94/1.15 (define @t292 () (and @t291 (tptp.legal @t232))) % 0.94/1.15 (define @t293 () (= @t288 @t292)) % 0.94/1.15 (define @t294 () (= @t9 @t10)) % 0.94/1.15 (define @t295 () (not @t14)) % 0.94/1.15 (define @t296 () (not @t16)) % 0.94/1.15 (define @t297 () (not @t17)) % 0.94/1.15 (define @t298 () (not @t18)) % 0.94/1.15 (define @t299 () (not @t13)) % 0.94/1.15 (define @t300 () (or @t298 @t297 @t296 @t295 @t299)) % 0.94/1.15 (define @t301 () (forall @t42 (or (not (tptp.occurrence_of @t36 tptp.tptp0)) (not (tptp.leaf_occ @t232 @t36))))) % 0.94/1.15 (define @t302 () (@quantifiers_skolemize @t301 0)) % 0.94/1.15 (define @t303 () (tptp.min_precedes @t274 @t232 tptp.tptp0)) % 0.94/1.15 (define @t304 () (not @t303)) % 0.94/1.15 (define @t305 () (or @t280 @t278 @t273 @t304 @t271)) % 0.94/1.15 (define @t306 () (not @t140)) % 0.94/1.15 (define @t307 () (not @t142)) % 0.94/1.15 (define @t308 () (not @t143)) % 0.94/1.15 (define @t309 () (or @t308 @t307 @t306)) % 0.94/1.15 (define @t310 () (not @t84)) % 0.94/1.15 (define @t311 () (not @t87)) % 0.94/1.15 (define @t312 () (or @t311 @t310)) % 0.94/1.15 (define @t313 () (forall @t89 @t312)) % 0.94/1.15 (define @t314 () (not @t313)) % 0.94/1.15 (define @t315 () (not @t86)) % 0.94/1.15 (define @t316 () (or @t315 @t313)) % 0.94/1.15 (define @t317 () (= @t91 (not @t316))) % 0.94/1.15 (define @t318 () (or @t315 @t312)) % 0.94/1.15 (define @t319 () (or @t311 @t315 @t310)) % 0.94/1.15 (define @t320 () (forall @t89 (not @t88))) % 0.94/1.15 (define @t321 () (not @t320)) % 0.94/1.15 (define @t322 () (not (forall @t42 (or (not @t40) (not @t38))))) % 0.94/1.15 (define @t323 () (not @t46)) % 0.94/1.15 (define @t324 () (forall @t42 (not @t41))) % 0.94/1.15 (define @t325 () (not @t324)) % 0.94/1.15 (define @t326 () (not @t301)) % 0.94/1.15 (define @t327 () (or @t271 @t187 @t326)) % 0.94/1.15 (define @t328 () (@list true false false)) % 0.94/1.15 (define @t329 () (tptp.leaf_occ @t232 @t302)) % 0.94/1.15 (define @t330 () (not @t329)) % 0.94/1.15 (define @t331 () (tptp.occurrence_of @t302 tptp.tptp0)) % 0.94/1.15 (define @t332 () (not @t331)) % 0.94/1.15 (define @t333 () (or @t332 @t330)) % 0.94/1.15 (define @t334 () (@list @t333)) % 0.94/1.15 (define @t335 () (tptp.subactivity_occurrence @t232 @t302)) % 0.94/1.15 (define @t336 () (and @t335 (not (forall @t89 (or (not (tptp.occurrence_of @t302 @t82)) (not (tptp.leaf @t232 @t82))))))) % 0.94/1.15 (define @t337 () (= @t329 @t336)) % 0.94/1.15 (define @t338 () (tptp.subactivity_occurrence @t233 @t302)) % 0.94/1.15 (define @t339 () (not @t335)) % 0.94/1.15 (define @t340 () (or @t289 @t332 @t339 @t338)) % 0.94/1.15 (define @t341 () (@list false false false false)) % 0.94/1.15 (define @t342 () (@list @t274 @t233 tptp.tptp0)) % 0.94/1.15 (define @t343 () (tptp.min_precedes @t274 @t233 tptp.tptp0)) % 0.94/1.15 (define @t344 () (and @t343 (forall @t128 (or (not (tptp.min_precedes @t274 @t123 tptp.tptp0)) (not (tptp.min_precedes @t123 @t233 tptp.tptp0)))))) % 0.94/1.15 (define @t345 () (= @t275 @t344)) % 0.94/1.15 (define @t346 () (tptp.subactivity_occurrence @t274 @t302)) % 0.94/1.15 (define @t347 () (not @t338)) % 0.94/1.15 (define @t348 () (not @t343)) % 0.94/1.15 (define @t349 () (or @t348 @t332 @t347 @t346)) % 0.94/1.15 (define @t350 () (tptp.arboreal @t274)) % 0.94/1.15 (define @t351 () (or @t280 (= @t350 @t188))) % 0.94/1.15 (define @t352 () (forall @t78 (or (not @t77) @t76))) % 0.94/1.15 (define @t353 () (= @t188 @t350)) % 0.94/1.15 (define @t354 () (or @t280 @t353)) % 0.94/1.15 (define @t355 () (= @t274 @t232)) % 0.94/1.15 (define @t356 () (not @t350)) % 0.94/1.15 (define @t357 () (not @t346)) % 0.94/1.15 (define @t358 () (or @t332 @t357 @t330 @t356 @t303 @t355)) % 0.94/1.15 (define @t359 () (@list @t274 @t233)) % 0.94/1.15 (define @t360 () (tptp.precedes @t274 @t233)) % 0.94/1.15 (define @t361 () (or @t348 @t360)) % 0.94/1.15 (define @t362 () (tptp.earlier @t274 @t233)) % 0.94/1.15 (define @t363 () (and @t362 (tptp.legal @t233))) % 0.94/1.15 (define @t364 () (= @t360 @t363)) % 0.94/1.15 (define @t365 () (tptp.earlier @t233 @t274)) % 0.94/1.15 (define @t366 () (not @t365)) % 0.94/1.15 (define @t367 () (not @t362)) % 0.94/1.15 (define @t368 () (or @t367 @t366)) % 0.94/1.15 (define @t369 () (and @t291 @t355)) % 0.94/1.15 (assume @p1 (forall (@list @t3 @t1) (=> (and (tptp.occurrence_of @t1 @t3) (not (tptp.atomic @t3))) (exists (@list @t2) (and (tptp.root @t2 @t3) (tptp.subactivity_occurrence @t2 @t1)))))) % 0.94/1.15 (assume @p2 (forall (@list @t4 @t8 @t6 @t7 @t5) (=> (and (tptp.occurrence_of @t8 @t4) (tptp.root_occ @t7 @t8) (tptp.leaf_occ @t5 @t8) (tptp.subactivity_occurrence @t6 @t8) (tptp.min_precedes @t7 @t6 @t4) (not (= @t6 @t5))) (tptp.min_precedes @t6 @t5 @t4)))) % 0.94/1.15 (assume @p3 @t22) % 0.94/1.15 (assume @p4 (forall (@list @t24 @t23) (=> (tptp.occurrence_of @t23 @t24) (and (tptp.activity @t24) (tptp.activity_occurrence @t23))))) % 0.94/1.15 (assume @p5 (forall (@list @t27 @t28 @t26 @t25) (=> (and (tptp.occurrence_of @t28 @t27) (tptp.arboreal @t26) (tptp.arboreal @t25) (tptp.subactivity_occurrence @t26 @t28) (tptp.subactivity_occurrence @t25 @t28)) (or (tptp.min_precedes @t26 @t25 @t27) (tptp.min_precedes @t25 @t26 @t27) (= @t26 @t25))))) % 0.94/1.15 (assume @p6 (forall (@list @t31 @t30) (=> (tptp.root @t30 @t31) (exists (@list @t29) (and (tptp.subactivity @t29 @t31) (tptp.atocc @t30 @t29)))))) % 0.94/1.15 (assume @p7 (forall (@list @t35 @t34 @t33) (=> (tptp.min_precedes @t34 @t33 @t35) (exists (@list @t32) (and (tptp.occurrence_of @t32 @t35) (tptp.subactivity_occurrence @t34 @t32) (tptp.subactivity_occurrence @t33 @t32)))))) % 0.94/1.15 (assume @p8 @t50) % 0.94/1.15 (assume @p9 (forall (@list @t53 @t52 @t51) (=> (and (tptp.occurrence_of @t53 @t52) (tptp.occurrence_of @t53 @t51)) (= @t52 @t51)))) % 0.94/1.15 (assume @p10 (forall (@list @t57 @t56 @t54) (=> (and (tptp.occurrence_of @t57 @t54) (tptp.leaf_occ @t56 @t57)) (not (exists (@list @t55) (tptp.min_precedes @t56 @t55 @t54)))))) % 0.94/1.15 (assume @p11 (forall (@list @t61 @t59 @t58) (=> (and (tptp.occurrence_of @t61 @t58) (tptp.root_occ @t59 @t61)) (not (exists (@list @t60) (tptp.min_precedes @t60 @t59 @t58)))))) % 0.94/1.15 (assume @p12 (forall (@list @t63 @t62) (=> (tptp.subactivity_occurrence @t63 @t62) (and (tptp.activity_occurrence @t63) (tptp.activity_occurrence @t62))))) % 0.94/1.15 (assume @p13 (forall (@list @t65) (=> (tptp.activity_occurrence @t65) (exists (@list @t64) (and (tptp.activity @t64) (tptp.occurrence_of @t65 @t64)))))) % 0.94/1.15 (assume @p14 (forall (@list @t66) (=> (tptp.legal @t66) (tptp.arboreal @t66)))) % 0.94/1.15 (assume @p15 (forall (@list @t68 @t69) (= (tptp.atocc @t68 @t69) (exists (@list @t67) (and (tptp.subactivity @t69 @t67) (tptp.atomic @t67) (tptp.occurrence_of @t68 @t67)))))) % 0.94/1.15 (assume @p16 (forall (@list @t72 @t70) (= (tptp.leaf @t72 @t70) (and (or (tptp.root @t72 @t70) (exists (@list @t73) (tptp.min_precedes @t73 @t72 @t70))) (not (exists (@list @t71) (tptp.min_precedes @t72 @t71 @t70))))))) % 0.94/1.15 (assume @p17 @t79) % 0.94/1.15 (assume @p18 (forall (@list @t80 @t81) (=> (tptp.root @t80 @t81) (tptp.legal @t80)))) % 0.94/1.15 (assume @p19 @t94) % 0.94/1.15 (assume @p20 (forall (@list @t96 @t97) (= (tptp.root_occ @t96 @t97) (exists (@list @t95) (and (tptp.occurrence_of @t97 @t95) (tptp.subactivity_occurrence @t96 @t97) (tptp.root @t96 @t95)))))) % 0.94/1.15 (assume @p21 @t102) % 0.94/1.15 (assume @p22 (forall (@list @t104 @t103) (= (tptp.precedes @t104 @t103) (and (tptp.earlier @t104 @t103) (tptp.legal @t103))))) % 0.94/1.15 (assume @p23 (forall (@list @t107 @t106 @t105) (=> (tptp.min_precedes @t107 @t106 @t105) (not (tptp.root @t106 @t105))))) % 0.94/1.15 (assume @p24 (forall (@list @t111 @t109 @t108) (=> (tptp.min_precedes @t111 @t109 @t108) (exists (@list @t110) (and (tptp.root @t110 @t108) (tptp.min_precedes @t110 @t109 @t108)))))) % 0.94/1.15 (assume @p25 @t117) % 0.94/1.15 (assume @p26 (forall (@list @t119 @t118 @t120) (=> (tptp.next_subocc @t119 @t118 @t120) (and (tptp.arboreal @t119) (tptp.arboreal @t118))))) % 0.94/1.15 (assume @p27 @t135) % 0.94/1.15 (assume @p28 @t145) % 0.94/1.15 (assume @p29 (forall (@list @t147 @t146 @t148 @t149) (=> (and (tptp.occurrence_of @t148 @t149) (not (tptp.atomic @t149)) (tptp.leaf_occ @t147 @t148) (tptp.leaf_occ @t146 @t148)) (= @t147 @t146)))) % 0.94/1.15 (assume @p30 (forall (@list @t151 @t150 @t152 @t153) (=> (and (tptp.occurrence_of @t152 @t153) (tptp.root_occ @t151 @t152) (tptp.root_occ @t150 @t152)) (= @t151 @t150)))) % 0.94/1.15 (assume @p31 (forall (@list @t155 @t156 @t154) (=> (and (tptp.earlier @t155 @t156) (tptp.earlier @t156 @t154)) (tptp.earlier @t155 @t154)))) % 0.94/1.15 (assume @p32 (forall (@list @t160 @t159 @t158 @t157) (=> (and (tptp.min_precedes @t160 @t159 @t157) (tptp.min_precedes @t160 @t158 @t157) (tptp.precedes @t159 @t158)) (tptp.min_precedes @t159 @t158 @t157)))) % 0.94/1.15 (assume @p33 @t186) % 0.94/1.15 (assume @p34 (tptp.activity tptp.tptp0)) % 0.94/1.15 (assume @p35 (not @t187)) % 0.94/1.15 (assume @p36 (tptp.atomic tptp.tptp4)) % 0.94/1.15 (assume @p37 (tptp.atomic tptp.tptp2)) % 0.94/1.15 (assume @p38 (tptp.atomic tptp.tptp1)) % 0.94/1.15 (assume @p39 @t188) % 0.94/1.15 (assume @p40 (not (= tptp.tptp4 tptp.tptp3))) % 0.94/1.15 (assume @p41 (not (= tptp.tptp4 tptp.tptp2))) % 0.94/1.15 (assume @p42 (not (= tptp.tptp4 tptp.tptp1))) % 0.94/1.15 (assume @p43 (not (= tptp.tptp3 tptp.tptp2))) % 0.94/1.15 (assume @p44 (not (= tptp.tptp3 tptp.tptp1))) % 0.94/1.15 (assume @p45 (not (= tptp.tptp2 tptp.tptp1))) % 0.94/1.15 (assume @p46 @t212) % 0.94/1.15 (assume @p47 true) % 0.94/1.15 (step @p48 :rule instantiate :premises (@p22) :args ((@list @t233 @t232))) % 0.94/1.15 (step @p49 :rule bool-impl-elim :args (@t116 @t114)) % 0.94/1.15 (step @p50 :rule cong :premises (@p49) :args (@t117)) % 0.94/1.15 (step @p51 :rule eq_resolve :premises (@p25 @p50)) % 0.94/1.15 (step @p52 :rule instantiate :premises (@p51) :args (@t234)) % 0.94/1.15 (step @p53 :rule bool-double-not-elim :args ((forall @t128 (or (not @t126) (not @t124))))) % 0.94/1.15 (step @p54 :rule bool-and-de-morgan :args (@t126 @t124 true)) % 0.94/1.15 (step @p55 :rule cong :premises (@p54) :args (@t235)) % 0.94/1.15 (step @p56 :rule cong :premises (@p55) :args (@t236)) % 0.94/1.15 (step @p57 :rule exists-elim :args ((= @t129 @t236))) % 0.94/1.15 (step @p58 :rule trans :premises (@p57 @p56)) % 0.94/1.15 (step @p59 :rule cong :premises (@p58) :args (@t130)) % 0.94/1.15 (step @p60 :rule trans :premises (@p59 @p53)) % 0.94/1.15 (step @p61 :rule refl :args (@t131)) % 0.94/1.15 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t132)) % 0.94/1.15 (step @p63 :rule refl :args (@t133)) % 0.94/1.15 (step @p64 :rule cong :premises (@p63 @p62) :args (@t134)) % 0.94/1.15 (step @p65 :rule cong :premises (@p64) :args (@t135)) % 0.94/1.15 (step @p66 :rule eq_resolve :premises (@p27 @p65)) % 0.94/1.15 (step @p67 :rule instantiate :premises (@p66) :args (@t234)) % 0.94/1.15 (step @p68 :rule aci_norm :args ((= (or (or @t241 @t240 @t239 @t178) @t238) (or @t241 @t240 @t239 @t178 @t238)))) % 0.94/1.15 (step @p69 :rule refl :args (@t238)) % 0.94/1.15 (step @p70 :rule bool-double-not-elim :args (@t178)) % 0.94/1.15 (step @p71 :rule refl :args (@t239)) % 0.94/1.15 (step @p72 :rule refl :args (@t240)) % 0.94/1.15 (step @p73 :rule refl :args (@t241)) % 0.94/1.15 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71 @p70) :args (@t243)) % 0.94/1.15 (step @p75 :rule aci_norm :args ((= (or @t241 (or @t240 (or @t239 @t242))) @t243))) % 0.94/1.15 (step @p76 :rule trans :premises (@p75 @p74)) % 0.94/1.15 (step @p77 :rule bool-and-de-morgan :args (@t180 @t179 true)) % 0.94/1.15 (step @p78 :rule nary_cong :premises (@p72 @p77) :args ((or @t240 (not (and @t180 @t179))))) % 0.94/1.15 (step @p79 :rule bool-and-de-morgan :args (@t181 @t180 (and @t179))) % 0.94/1.15 (step @p80 :rule trans :premises (@p79 @p78)) % 0.94/1.15 (step @p81 :rule nary_cong :premises (@p73 @p80) :args ((or @t241 (not (and @t181 @t180 @t179))))) % 0.94/1.15 (step @p82 :rule bool-and-de-morgan :args (@t182 @t181 (and @t180 @t179))) % 0.94/1.15 (step @p83 :rule trans :premises (@p82 @p81)) % 0.94/1.15 (step @p84 :rule trans :premises (@p83 @p76)) % 0.94/1.15 (step @p85 :rule nary_cong :premises (@p84 @p69) :args ((or (not @t183) @t238))) % 0.94/1.15 (step @p86 :rule trans :premises (@p85 @p68)) % 0.94/1.15 (step @p87 :rule bool-impl-elim :args (@t183 @t238)) % 0.94/1.15 (step @p88 :rule trans :premises (@p87 @p86)) % 0.94/1.15 (step @p89 :rule cong :premises (@p88) :args ((forall @t185 (=> @t183 @t238)))) % 0.94/1.15 (step @p90 :rule refl :args (@t213)) % 0.94/1.15 (step @p91 :rule refl :args (@t214)) % 0.94/1.15 (step @p92 :rule bool-or-de-morgan :args (@t166 @t165 false)) % 0.94/1.15 (step @p93 :rule refl :args (@t216)) % 0.94/1.15 (step @p94 :rule refl :args (@t217)) % 0.94/1.15 (step @p95 :rule refl :args (@t237)) % 0.94/1.15 (step @p96 :rule refl :args (@t230)) % 0.94/1.15 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94 @p93 @p92 @p91 @p90) :args (@t245)) % 0.94/1.15 (step @p98 :rule aci_norm :args ((= (or @t230 (or @t237 (or @t217 (or @t216 (or @t244 (or @t214 @t213)))))) @t245))) % 0.94/1.15 (step @p99 :rule bool-and-de-morgan :args (@t164 @t162 true)) % 0.94/1.15 (step @p100 :rule refl :args (@t244)) % 0.94/1.15 (step @p101 :rule nary_cong 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% 0.94/1.15 (step @p306 :rule instantiate :premises (@p305) :args ((@list @t274 @t233 tptp.tptp0 @t302))) % 0.94/1.15 (step @p307 :rule instantiate :premises (@p305) :args ((@list @t233 @t232 tptp.tptp0 @t302))) % 0.94/1.15 (step @p308 :rule refl :args (@t314)) % 0.94/1.15 (step @p309 :rule bool-double-not-elim :args (@t86)) % 0.94/1.15 (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((and (not @t315) @t314))) % 0.94/1.15 (step @p311 :rule bool-or-de-morgan :args (@t315 @t313 false)) % 0.94/1.15 (step @p312 :rule trans :premises (@p311 @p310)) % 0.94/1.15 (step @p313 :rule refl :args (@t91)) % 0.94/1.15 (step @p314 :rule cong :premises (@p313 @p312) :args (@t317)) % 0.94/1.15 (step @p315 :rule cong :premises (@p314) :args ((forall @t93 @t317))) % 0.94/1.15 (step @p316 :rule quant-miniscope-or :args ((= (forall @t89 @t318) @t316))) % 0.94/1.15 (step @p317 :rule aci_norm :args ((= @t319 @t318))) % 0.94/1.15 (step @p318 :rule cong :premises (@p317) :args ((forall @t89 @t319))) % 0.94/1.15 (step @p319 :rule trans :premises (@p318 @p316)) % 0.94/1.15 (step @p320 :rule aci_norm :args ((= (or @t311 (or @t315 @t310)) @t319))) % 0.94/1.15 (step @p321 :rule bool-and-de-morgan :args (@t86 @t84 true)) % 0.94/1.15 (step @p322 :rule refl :args (@t311)) % 0.94/1.15 (step @p323 :rule nary_cong :premises (@p322 @p321) :args ((or @t311 (not (and @t86 @t84))))) % 0.94/1.15 (step @p324 :rule bool-and-de-morgan :args (@t87 @t86 (and @t84))) % 0.94/1.15 (step @p325 :rule trans :premises (@p324 @p323)) % 0.94/1.15 (step @p326 :rule trans :premises (@p325 @p320)) % 0.94/1.15 (step @p327 :rule cong :premises (@p326) :args (@t320)) % 0.94/1.15 (step @p328 :rule trans :premises (@p327 @p319)) % 0.94/1.15 (step @p329 :rule cong :premises (@p328) :args (@t321)) % 0.94/1.15 (step @p330 :rule exists-elim :args ((= @t90 @t321))) % 0.94/1.15 (step @p331 :rule trans :premises (@p330 @p329)) % 0.94/1.15 (step @p332 :rule refl :args (@t91)) % 0.94/1.15 (step @p333 :rule cong :premises (@p332 @p331) :args (@t92)) % 0.94/1.15 (step @p334 :rule cong :premises (@p333) :args (@t94)) % 0.94/1.15 (step @p335 :rule trans :premises (@p334 @p315)) % 0.94/1.15 (step @p336 :rule eq_resolve :premises (@p19 @p335)) % 0.94/1.15 (step @p337 :rule instantiate :premises (@p336) :args ((@list @t232 @t302))) % 0.94/1.15 (step @p338 :rule aci_norm :args ((= (or (or @t323 @t44) @t322) (or @t323 @t44 @t322)))) % 0.94/1.15 (step @p339 :rule refl :args (@t322)) % 0.94/1.15 (step @p340 :rule bool-double-not-elim :args (@t44)) % 0.94/1.15 (step @p341 :rule refl :args (@t323)) % 0.94/1.15 (step @p342 :rule nary_cong :premises (@p341 @p340) :args ((or @t323 (not @t45)))) % 0.94/1.15 (step @p343 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 0.94/1.15 (step @p344 :rule trans :premises (@p343 @p342)) % 0.94/1.15 (step @p345 :rule nary_cong :premises (@p344 @p339) :args ((or (not @t47) @t322))) % 0.94/1.15 (step @p346 :rule trans :premises (@p345 @p338)) % 0.94/1.15 (step @p347 :rule bool-impl-elim :args (@t47 @t322)) % 0.94/1.15 (step @p348 :rule trans :premises (@p347 @p346)) % 0.94/1.15 (step @p349 :rule cong :premises (@p348) :args ((forall @t49 (=> @t47 @t322)))) % 0.94/1.15 (step @p350 :rule bool-and-de-morgan :args (@t40 @t38 true)) % 0.94/1.15 (step @p351 :rule cong :premises (@p350) :args (@t324)) % 0.94/1.15 (step @p352 :rule cong :premises (@p351) :args (@t325)) % 0.94/1.15 (step @p353 :rule exists-elim :args ((= @t43 @t325))) % 0.94/1.15 (step @p354 :rule trans :premises (@p353 @p352)) % 0.94/1.15 (step @p355 :rule refl :args (@t47)) % 0.94/1.15 (step @p356 :rule cong :premises (@p355 @p354) :args (@t48)) % 0.94/1.15 (step @p357 :rule cong :premises (@p356) :args (@t50)) % 0.94/1.15 (step @p358 :rule trans :premises (@p357 @p349)) % 0.94/1.15 (step @p359 :rule eq_resolve :premises (@p8 @p358)) % 0.94/1.15 (step @p360 :rule instantiate :premises (@p359) :args ((@list @t232 tptp.tptp0))) % 0.94/1.15 (step @p361 :rule cnf_or_pos :args (@t327)) % 0.94/1.15 (step @p362 :rule reordering :premises (@p361) :args ((or @t187 @t271 @t326 (not @t327)))) % 0.94/1.15 (step @p363 :rule chain_m_resolution :premises (@p362 @p35 @p273 @p360) :args (@t326 @t328 (@list @t187 @t270 @t327))) % 0.94/1.15 (step @p364 :rule skolemize :premises (@p363)) % 0.94/1.15 (step @p365 :rule bool-double-not-elim :args (@t329)) % 0.94/1.15 (step @p366 :rule refl :args (@t333)) % 0.94/1.15 (step @p367 :rule nary_cong :premises (@p366 @p365) :args ((or @t333 (not @t330)))) % 0.94/1.15 (step @p368 :rule cnf_or_neg :args (@t333 1)) % 0.94/1.15 (step @p369 :rule eq_resolve :premises (@p368 @p367)) % 0.94/1.15 (step @p370 :rule reordering :premises (@p369) :args ((or @t329 @t333))) % 0.94/1.15 (step @p371 :rule chain_m_resolution :premises (@p370 @p364) :args (@t329 @t265 @t334)) % 0.94/1.15 (step @p372 :rule cnf_equiv_pos1 :args (@t337)) % 0.94/1.15 (step @p373 :rule reordering :premises (@p372) :args ((or @t330 @t336 (not @t337)))) % 0.94/1.15 (step @p374 :rule chain_m_resolution :premises (@p373 @p371 @p337) :args (@t336 @t286 (@list @t329 @t337))) % 0.94/1.15 (step @p375 :rule cnf_and_pos :args (@t336 0)) % 0.94/1.15 (step @p376 :rule reordering :premises (@p375) :args ((or @t335 (not @t336)))) % 0.94/1.15 (step @p377 :rule chain_m_resolution :premises (@p376 @p374) :args (@t335 @t287 (@list @t336))) % 0.94/1.15 (step @p378 :rule bool-double-not-elim :args (@t331)) % 0.94/1.15 (step @p379 :rule nary_cong :premises (@p366 @p378) :args ((or @t333 (not @t332)))) % 0.94/1.15 (step @p380 :rule cnf_or_neg :args (@t333 0)) % 0.94/1.15 (step @p381 :rule eq_resolve :premises (@p380 @p379)) % 0.94/1.15 (step @p382 :rule reordering :premises (@p381) :args ((or @t331 @t333))) % 0.94/1.15 (step @p383 :rule chain_m_resolution :premises (@p382 @p364) :args (@t331 @t265 @t334)) % 0.94/1.15 (step @p384 :rule cnf_or_pos :args (@t340)) % 0.94/1.15 (step @p385 :rule reordering :premises (@p384) :args ((or @t289 @t332 @t338 @t339 (not @t340)))) % 0.94/1.15 (step @p386 :rule chain_m_resolution :premises (@p385 @p218 @p383 @p377 @p307) :args (@t338 @t341 (@list @t283 @t331 @t335 @t340))) % 0.94/1.15 (step @p387 :rule instantiate :premises (@p66) :args (@t342)) % 0.94/1.15 (step @p388 :rule bool-double-not-elim :args (@t275)) % 0.94/1.15 (step @p389 :rule nary_cong :premises (@p207 @p388) :args ((or @t281 (not @t276)))) % 0.94/1.15 (step @p390 :rule cnf_or_neg :args (@t281 3)) % 0.94/1.15 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 0.94/1.15 (step @p392 :rule reordering :premises (@p391) :args ((or @t275 @t281))) % 0.94/1.15 (step @p393 :rule chain_m_resolution :premises (@p392 @p205) :args (@t275 @t265 @t282)) % 0.94/1.15 (step @p394 :rule cnf_equiv_pos1 :args (@t345)) % 0.94/1.15 (step @p395 :rule reordering :premises (@p394) :args ((or @t276 @t344 (not @t345)))) % 0.94/1.15 (step @p396 :rule chain_m_resolution :premises (@p395 @p393 @p387) :args (@t344 @t286 (@list @t275 @t345))) % 0.94/1.15 (step @p397 :rule cnf_and_pos :args (@t344 0)) % 0.94/1.15 (step @p398 :rule reordering :premises (@p397) :args ((or @t343 (not @t344)))) % 0.94/1.15 (step @p399 :rule chain_m_resolution :premises (@p398 @p396) :args (@t343 @t287 (@list @t344))) % 0.94/1.15 (step @p400 :rule cnf_or_pos :args (@t349)) % 0.94/1.15 (step @p401 :rule reordering :premises (@p400) :args ((or @t348 @t332 @t347 @t346 (not @t349)))) % 0.94/1.15 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p383 @p386 @p306) :args (@t346 @t341 (@list @t343 @t331 @t338 @t349))) % 0.94/1.15 (step @p403 :rule bool-impl-elim :args (@t77 @t76)) % 0.94/1.15 (step @p404 :rule cong :premises (@p403) :args (@t79)) % 0.94/1.15 (step @p405 :rule eq_resolve :premises (@p17 @p404)) % 0.94/1.15 (step @p406 :rule eq-symm :args (@t350 @t188)) % 0.94/1.15 (step @p407 :rule refl :args (@t280)) % 0.94/1.15 (step @p408 :rule nary_cong :premises (@p407 @p406) :args (@t351)) % 0.94/1.15 (step @p409 :rule refl :args (@t352)) % 0.94/1.15 (step @p410 :rule cong :premises (@p409 @p408) :args ((=> @t352 @t351))) % 0.94/1.15 (assume-push @p460 @t352) % 0.94/1.15 (step @p412 :rule instantiate :premises (@p405) :args ((@list @t274 tptp.tptp3))) % 0.94/1.15 (step-pop @p461 :rule scope :premises (@p412)) % 0.94/1.15 (step @p413 :rule process_scope :premises (@p461) :args (@t351)) % 0.94/1.15 (step @p415 :rule eq_resolve :premises (@p413 @p410)) % 0.94/1.15 (step @p416 :rule implies_elim :premises (@p415)) % 0.94/1.15 (step @p417 :rule chain_m_resolution :premises (@p416 @p405) :args (@t354 @t287 (@list @t352))) % 0.94/1.15 (step @p418 :rule cnf_or_pos :args (@t354)) % 0.94/1.15 (step @p419 :rule reordering :premises (@p418) :args ((or @t280 @t353 (not @t354)))) % 0.94/1.15 (step @p420 :rule chain_m_resolution :premises (@p419 @p287 @p417) :args (@t353 @t286 (@list @t279 @t354))) % 0.94/1.15 (step @p421 :rule cnf_equiv_pos1 :args (@t353)) % 0.94/1.15 (step @p422 :rule reordering :premises (@p421) :args ((or (not @t188) @t350 (not @t353)))) % 0.94/1.15 (step @p423 :rule chain_m_resolution :premises (@p422 @p39 @p420) :args (@t350 @t286 (@list @t188 @t353))) % 0.94/1.15 (step @p424 :rule cnf_or_pos :args (@t358)) % 0.94/1.15 (step @p425 :rule reordering :premises (@p424) :args ((or @t356 @t332 @t330 @t357 @t303 @t355 (not @t358)))) % 0.94/1.15 (step @p426 :rule chain_m_resolution :premises (@p425 @p423 @p383 @p371 @p402 @p290 @p260) :args (@t355 (@list false false false false true false) (@list @t350 @t331 @t329 @t346 @t303 @t358))) % 0.94/1.15 (step @p427 :rule bool-impl-elim :args (@t101 @t100)) % 0.94/1.15 (step @p428 :rule cong :premises (@p427) :args (@t102)) % 0.94/1.15 (step @p429 :rule eq_resolve :premises (@p21 @p428)) % 0.94/1.15 (step @p430 :rule instantiate :premises (@p429) :args (@t359)) % 0.94/1.15 (step @p431 :rule instantiate :premises (@p22) :args (@t359)) % 0.94/1.15 (step @p432 :rule instantiate :premises (@p51) :args (@t342)) % 0.94/1.15 (step @p433 :rule cnf_or_pos :args (@t361)) % 0.94/1.15 (step @p434 :rule reordering :premises (@p433) :args ((or @t348 @t360 (not @t361)))) % 0.94/1.15 (step @p435 :rule chain_m_resolution :premises (@p434 @p399 @p432) :args (@t360 @t286 (@list @t343 @t361))) % 0.94/1.15 (step @p436 :rule cnf_equiv_pos1 :args (@t364)) % 0.94/1.15 (step @p437 :rule reordering :premises (@p436) :args ((or (not @t360) @t363 (not @t364)))) % 0.94/1.15 (step @p438 :rule chain_m_resolution :premises (@p437 @p435 @p431) :args (@t363 @t286 (@list @t360 @t364))) % 0.94/1.15 (step @p439 :rule cnf_and_pos :args (@t363 0)) % 0.94/1.15 (step @p440 :rule reordering :premises (@p439) :args ((or @t362 (not @t363)))) % 0.94/1.15 (step @p441 :rule chain_m_resolution :premises (@p440 @p438) :args (@t362 @t287 (@list @t363))) % 0.94/1.15 (step @p442 :rule cnf_or_pos :args (@t368)) % 0.94/1.15 (step @p443 :rule reordering :premises (@p442) :args ((or @t367 @t366 (not @t368)))) % 0.94/1.15 (step @p444 :rule chain_m_resolution :premises (@p443 @p441 @p430) :args (@t366 @t286 (@list @t362 @t368))) % 0.94/1.15 (assume-push @p462 @t291) % 0.94/1.15 (assume-push @p463 @t355) % 0.94/1.15 (step @p447 :rule true_intro :premises (@p227)) % 0.94/1.15 (step @p448 :rule refl :args (@t233)) % 0.94/1.15 (step @p449 :rule cong :premises (@p448 @p426) :args (@t365)) % 0.94/1.15 (step @p450 :rule trans :premises (@p449 @p447)) % 0.94/1.15 (step @p451 :rule true_elim :premises (@p450)) % 0.94/1.15 (step-pop @p464 :rule scope :premises (@p451)) % 0.94/1.15 (step-pop @p465 :rule scope :premises (@p464)) % 0.94/1.15 (step @p452 :rule process_scope :premises (@p465) :args (@t365)) % 0.94/1.15 (step @p455 :rule implies_elim :premises (@p452)) % 0.94/1.15 (step @p456 :rule cnf_and_neg :args (@t369)) % 0.94/1.15 (step @p457 :rule resolution :premises (@p456 @p455) :args (true @t369)) % 0.94/1.15 (step @p458 :rule reordering :premises (@p457) :args ((or (not @t291) @t365 (not @t355)))) % 0.94/1.15 (step @p459 false :rule chain_m_resolution :premises (@p458 @p444 @p426 @p227) :args (false @t328 (@list @t365 @t355 @t291))) % 0.94/1.15 ) % 0.94/1.15 % SZS output end Proof % 0.94/1.15 % cvc5 exiting %------------------------------------------------------------------------------