%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO009+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 : n028.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 08:43:43 AM UTC 2026 % Result : Theorem 0.45s 0.69s % Output : Proof 0.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PRO009+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n028.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 13:08:05 EDT 2026 % 0.15/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.69 % SZS status Theorem % 0.45/0.69 % SZS output start Proof % 0.45/0.69 ( % 0.45/0.69 (declare-sort $$unsorted 0) % 0.45/0.69 (declare-const tptp.tptp4 $$unsorted) % 0.45/0.69 (declare-const tptp.tptp2 $$unsorted) % 0.45/0.69 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.activity (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.atomic (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.tptp3 $$unsorted) % 0.45/0.69 (declare-const tptp.legal (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.tptp0 $$unsorted) % 0.45/0.69 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 0.45/0.69 (declare-const tptp.tptp1 $$unsorted) % 0.45/0.69 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 0.45/0.69 (define @t1 () (@var "X3" $$unsorted)) % 0.45/0.69 (define @t2 () (@var "X2" $$unsorted)) % 0.45/0.69 (define @t3 () (@var "X0" $$unsorted)) % 0.45/0.69 (define @t4 () (tptp.min_precedes @t3 @t2 @t1)) % 0.45/0.69 (define @t5 () (@var "X1" $$unsorted)) % 0.45/0.69 (define @t6 () (tptp.min_precedes @t5 @t2 @t1)) % 0.45/0.69 (define @t7 () (tptp.min_precedes @t3 @t5 @t1)) % 0.45/0.69 (define @t8 () (and @t7 @t6)) % 0.45/0.69 (define @t9 () (forall (@list @t3 @t5 @t2 @t1) (=> @t8 @t4))) % 0.45/0.69 (define @t10 () (@var "X6" $$unsorted)) % 0.45/0.69 (define @t11 () (@var "X4" $$unsorted)) % 0.45/0.69 (define @t12 () (@var "X5" $$unsorted)) % 0.45/0.69 (define @t13 () (@var "X8" $$unsorted)) % 0.45/0.69 (define @t14 () (@var "X7" $$unsorted)) % 0.45/0.69 (define @t15 () (@var "X9" $$unsorted)) % 0.45/0.69 (define @t16 () (@var "X10" $$unsorted)) % 0.45/0.69 (define @t17 () (@var "X12" $$unsorted)) % 0.45/0.69 (define @t18 () (@var "X11" $$unsorted)) % 0.45/0.69 (define @t19 () (@var "X13" $$unsorted)) % 0.45/0.69 (define @t20 () (@var "X14" $$unsorted)) % 0.45/0.69 (define @t21 () (@var "X17" $$unsorted)) % 0.45/0.69 (define @t22 () (@var "X16" $$unsorted)) % 0.45/0.69 (define @t23 () (@var "X18" $$unsorted)) % 0.45/0.69 (define @t24 () (tptp.min_precedes @t23 @t22 @t21)) % 0.45/0.69 (define @t25 () (@var "X15" $$unsorted)) % 0.45/0.69 (define @t26 () (tptp.min_precedes @t25 @t23 @t21)) % 0.45/0.69 (define @t27 () (and @t26 @t24)) % 0.45/0.69 (define @t28 () (@list @t23)) % 0.45/0.69 (define @t29 () (exists @t28 @t27)) % 0.45/0.69 (define @t30 () (not @t29)) % 0.45/0.69 (define @t31 () (tptp.min_precedes @t25 @t22 @t21)) % 0.45/0.69 (define @t32 () (and @t31 @t30)) % 0.45/0.69 (define @t33 () (tptp.next_subocc @t25 @t22 @t21)) % 0.45/0.69 (define @t34 () (= @t33 @t32)) % 0.45/0.69 (define @t35 () (forall (@list @t25 @t22 @t21) @t34)) % 0.45/0.69 (define @t36 () (@var "X20" $$unsorted)) % 0.45/0.69 (define @t37 () (@var "X19" $$unsorted)) % 0.45/0.69 (define @t38 () (@var "X21" $$unsorted)) % 0.45/0.69 (define @t39 () (@var "X23" $$unsorted)) % 0.45/0.69 (define @t40 () (@var "X22" $$unsorted)) % 0.45/0.69 (define @t41 () (@var "X24" $$unsorted)) % 0.45/0.69 (define @t42 () (@var "X27" $$unsorted)) % 0.45/0.69 (define @t43 () (@var "X26" $$unsorted)) % 0.45/0.69 (define @t44 () (@var "X25" $$unsorted)) % 0.45/0.69 (define @t45 () (@var "X29" $$unsorted)) % 0.45/0.69 (define @t46 () (@var "X28" $$unsorted)) % 0.45/0.69 (define @t47 () (@var "X30" $$unsorted)) % 0.45/0.69 (define @t48 () (@var "X31" $$unsorted)) % 0.45/0.69 (define @t49 () (@var "X34" $$unsorted)) % 0.45/0.69 (define @t50 () (@var "X32" $$unsorted)) % 0.45/0.69 (define @t51 () (@var "X33" $$unsorted)) % 0.45/0.69 (define @t52 () (@var "X37" $$unsorted)) % 0.45/0.69 (define @t53 () (@var "X35" $$unsorted)) % 0.45/0.69 (define @t54 () (@var "X36" $$unsorted)) % 0.45/0.69 (define @t55 () (@var "X38" $$unsorted)) % 0.45/0.69 (define @t56 () (@var "X39" $$unsorted)) % 0.45/0.69 (define @t57 () (@var "X41" $$unsorted)) % 0.45/0.69 (define @t58 () (@var "X40" $$unsorted)) % 0.45/0.69 (define @t59 () (@var "X43" $$unsorted)) % 0.45/0.69 (define @t60 () (@var "X45" $$unsorted)) % 0.45/0.69 (define @t61 () (@var "X42" $$unsorted)) % 0.45/0.69 (define @t62 () (@var "X44" $$unsorted)) % 0.45/0.69 (define @t63 () (@var "X48" $$unsorted)) % 0.45/0.69 (define @t64 () (@var "X46" $$unsorted)) % 0.45/0.69 (define @t65 () (@var "X47" $$unsorted)) % 0.45/0.69 (define @t66 () (@var "X50" $$unsorted)) % 0.45/0.69 (define @t67 () (@var "X49" $$unsorted)) % 0.45/0.69 (define @t68 () (@var "X51" $$unsorted)) % 0.45/0.69 (define @t69 () (@var "X53" $$unsorted)) % 0.45/0.69 (define @t70 () (@var "X52" $$unsorted)) % 0.45/0.69 (define @t71 () (@var "X55" $$unsorted)) % 0.45/0.69 (define @t72 () (@var "X54" $$unsorted)) % 0.45/0.69 (define @t73 () (@var "X58" $$unsorted)) % 0.45/0.69 (define @t74 () (@var "X57" $$unsorted)) % 0.45/0.69 (define @t75 () (@var "X59" $$unsorted)) % 0.45/0.69 (define @t76 () (@var "X56" $$unsorted)) % 0.45/0.69 (define @t77 () (@var "X62" $$unsorted)) % 0.45/0.69 (define @t78 () (@var "X63" $$unsorted)) % 0.45/0.69 (define @t79 () (@var "X61" $$unsorted)) % 0.45/0.69 (define @t80 () (@var "X60" $$unsorted)) % 0.45/0.69 (define @t81 () (@var "X66" $$unsorted)) % 0.45/0.69 (define @t82 () (@var "X65" $$unsorted)) % 0.45/0.69 (define @t83 () (@var "X64" $$unsorted)) % 0.45/0.69 (define @t84 () (@var "X69" $$unsorted)) % 0.45/0.69 (define @t85 () (@var "X67" $$unsorted)) % 0.45/0.69 (define @t86 () (@var "X68" $$unsorted)) % 0.45/0.69 (define @t87 () (@var "X73" $$unsorted)) % 0.45/0.69 (define @t88 () (@var "X72" $$unsorted)) % 0.45/0.69 (define @t89 () (@var "X71" $$unsorted)) % 0.45/0.69 (define @t90 () (@var "X70" $$unsorted)) % 0.45/0.69 (define @t91 () (@var "X76" $$unsorted)) % 0.45/0.69 (define @t92 () (@var "X74" $$unsorted)) % 0.45/0.69 (define @t93 () (@var "X75" $$unsorted)) % 0.45/0.69 (define @t94 () (@var "X81" $$unsorted)) % 0.45/0.69 (define @t95 () (@var "X79" $$unsorted)) % 0.45/0.69 (define @t96 () (@var "X80" $$unsorted)) % 0.45/0.69 (define @t97 () (@var "X78" $$unsorted)) % 0.45/0.69 (define @t98 () (@var "X77" $$unsorted)) % 0.45/0.69 (define @t99 () (@var "X84" $$unsorted)) % 0.45/0.69 (define @t100 () (@var "X83" $$unsorted)) % 0.45/0.69 (define @t101 () (@var "X82" $$unsorted)) % 0.45/0.69 (define @t102 () (@var "X88" $$unsorted)) % 0.45/0.69 (define @t103 () (@var "X87" $$unsorted)) % 0.45/0.69 (define @t104 () (@var "X85" $$unsorted)) % 0.45/0.69 (define @t105 () (@var "X86" $$unsorted)) % 0.45/0.69 (define @t106 () (@var "X90" $$unsorted)) % 0.45/0.69 (define @t107 () (@var "X89" $$unsorted)) % 0.45/0.69 (define @t108 () (@var "X92" $$unsorted)) % 0.45/0.69 (define @t109 () (@var "X93" $$unsorted)) % 0.45/0.69 (define @t110 () (@var "X91" $$unsorted)) % 0.45/0.69 (define @t111 () (@var "X94" $$unsorted)) % 0.45/0.69 (define @t112 () (@var "X95" $$unsorted)) % 0.45/0.69 (define @t113 () (@var "X98" $$unsorted)) % 0.45/0.69 (define @t114 () (tptp.leaf_occ @t113 @t112)) % 0.45/0.69 (define @t115 () (@var "X97" $$unsorted)) % 0.45/0.69 (define @t116 () (tptp.next_subocc @t115 @t113 tptp.tptp0)) % 0.45/0.69 (define @t117 () (tptp.occurrence_of @t113 tptp.tptp1)) % 0.45/0.69 (define @t118 () (tptp.occurrence_of @t113 tptp.tptp2)) % 0.45/0.69 (define @t119 () (or @t118 @t117)) % 0.45/0.69 (define @t120 () (@var "X96" $$unsorted)) % 0.45/0.69 (define @t121 () (tptp.next_subocc @t120 @t115 tptp.tptp0)) % 0.45/0.69 (define @t122 () (tptp.occurrence_of @t115 tptp.tptp4)) % 0.45/0.69 (define @t123 () (tptp.root_occ @t120 @t112)) % 0.45/0.69 (define @t124 () (tptp.occurrence_of @t120 tptp.tptp3)) % 0.45/0.69 (define @t125 () (and @t124 @t123 @t122 @t121 @t119 @t116 @t114)) % 0.45/0.69 (define @t126 () (@list @t120 @t115 @t113)) % 0.45/0.69 (define @t127 () (exists @t126 @t125)) % 0.45/0.69 (define @t128 () (tptp.occurrence_of @t112 tptp.tptp0)) % 0.45/0.69 (define @t129 () (=> @t128 @t127)) % 0.45/0.69 (define @t130 () (@list @t112)) % 0.45/0.69 (define @t131 () (forall @t130 @t129)) % 0.45/0.69 (define @t132 () (@var "X99" $$unsorted)) % 0.45/0.69 (define @t133 () (@var "X101" $$unsorted)) % 0.45/0.69 (define @t134 () (tptp.leaf_occ @t133 @t132)) % 0.45/0.69 (define @t135 () (@var "X100" $$unsorted)) % 0.45/0.69 (define @t136 () (tptp.min_precedes @t135 @t133 tptp.tptp0)) % 0.45/0.69 (define @t137 () (tptp.occurrence_of @t133 tptp.tptp1)) % 0.45/0.69 (define @t138 () (tptp.occurrence_of @t133 tptp.tptp2)) % 0.45/0.69 (define @t139 () (or @t138 @t137)) % 0.45/0.69 (define @t140 () (tptp.root_occ @t135 @t132)) % 0.45/0.69 (define @t141 () (tptp.occurrence_of @t135 tptp.tptp3)) % 0.45/0.69 (define @t142 () (and @t141 @t140 @t139 @t136 @t134)) % 0.45/0.69 (define @t143 () (@list @t135 @t133)) % 0.45/0.69 (define @t144 () (exists @t143 @t142)) % 0.45/0.69 (define @t145 () (tptp.occurrence_of @t132 tptp.tptp0)) % 0.45/0.69 (define @t146 () (=> @t145 @t144)) % 0.45/0.69 (define @t147 () (@list @t132)) % 0.45/0.69 (define @t148 () (forall @t147 @t146)) % 0.45/0.69 (define @t149 () (not @t148)) % 0.45/0.69 (define @t150 () (not @t134)) % 0.45/0.69 (define @t151 () (not @t136)) % 0.45/0.69 (define @t152 () (and (not @t138) (not @t137))) % 0.45/0.69 (define @t153 () (not @t140)) % 0.45/0.69 (define @t154 () (not @t141)) % 0.45/0.69 (define @t155 () (not (forall @t143 (or @t154 @t153 @t152 @t151 @t150)))) % 0.45/0.69 (define @t156 () (not @t139)) % 0.45/0.69 (define @t157 () (or @t154 @t153 @t156 @t151 @t150)) % 0.45/0.69 (define @t158 () (forall @t143 (not @t142))) % 0.45/0.69 (define @t159 () (not @t158)) % 0.45/0.69 (define @t160 () (@quantifiers_skolemize (forall @t147 (or (not @t145) @t155)) 0)) % 0.45/0.69 (define @t161 () (forall @t143 (or @t154 (not (tptp.root_occ @t135 @t160)) @t152 @t151 (not (tptp.leaf_occ @t133 @t160))))) % 0.45/0.69 (define @t162 () (not @t161)) % 0.45/0.69 (define @t163 () (tptp.occurrence_of @t160 tptp.tptp0)) % 0.45/0.69 (define @t164 () (not @t163)) % 0.45/0.69 (define @t165 () (or @t164 @t162)) % 0.45/0.69 (define @t166 () (@list true)) % 0.45/0.69 (define @t167 () (@list @t165)) % 0.45/0.69 (define @t168 () (not @t6)) % 0.45/0.69 (define @t169 () (not @t7)) % 0.45/0.69 (define @t170 () (not @t116)) % 0.45/0.69 (define @t171 () (and (not @t118) (not @t117))) % 0.45/0.69 (define @t172 () (not @t121)) % 0.45/0.69 (define @t173 () (not @t122)) % 0.45/0.69 (define @t174 () (not @t124)) % 0.45/0.69 (define @t175 () (forall @t126 (or @t174 (not (tptp.root_occ @t120 @t160)) @t173 @t172 @t171 @t170 (not (tptp.leaf_occ @t113 @t160))))) % 0.45/0.69 (define @t176 () (@quantifiers_skolemize @t175 2)) % 0.45/0.69 (define @t177 () (@quantifiers_skolemize @t175 1)) % 0.45/0.69 (define @t178 () (@quantifiers_skolemize @t175 0)) % 0.45/0.69 (define @t179 () (forall @t28 (not @t27))) % 0.45/0.69 (define @t180 () (not @t179)) % 0.45/0.69 (define @t181 () (not @t114)) % 0.45/0.69 (define @t182 () (not @t123)) % 0.45/0.69 (define @t183 () (not (forall @t126 (or @t174 @t182 @t173 @t172 @t171 @t170 @t181)))) % 0.45/0.69 (define @t184 () (not @t119)) % 0.45/0.69 (define @t185 () (or @t174 @t182 @t173 @t172 @t184 @t170 @t181)) % 0.45/0.69 (define @t186 () (forall @t126 (not @t125))) % 0.45/0.69 (define @t187 () (not @t186)) % 0.45/0.69 (define @t188 () (not @t175)) % 0.45/0.69 (define @t189 () (or @t164 @t188)) % 0.45/0.69 (define @t190 () (@list false false)) % 0.45/0.69 (define @t191 () (tptp.next_subocc @t177 @t176 tptp.tptp0)) % 0.45/0.69 (define @t192 () (tptp.leaf_occ @t176 @t160)) % 0.45/0.69 (define @t193 () (not @t192)) % 0.45/0.69 (define @t194 () (not @t191)) % 0.45/0.69 (define @t195 () (and (not (tptp.occurrence_of @t176 tptp.tptp2)) (not (tptp.occurrence_of @t176 tptp.tptp1)))) % 0.45/0.69 (define @t196 () (tptp.next_subocc @t178 @t177 tptp.tptp0)) % 0.45/0.69 (define @t197 () (not @t196)) % 0.45/0.69 (define @t198 () (tptp.root_occ @t178 @t160)) % 0.45/0.69 (define @t199 () (not @t198)) % 0.45/0.69 (define @t200 () (tptp.occurrence_of @t178 tptp.tptp3)) % 0.45/0.69 (define @t201 () (not @t200)) % 0.45/0.69 (define @t202 () (or @t201 @t199 (not (tptp.occurrence_of @t177 tptp.tptp4)) @t197 @t195 @t194 @t193)) % 0.45/0.69 (define @t203 () (@list @t202)) % 0.45/0.69 (define @t204 () (tptp.min_precedes @t177 @t176 tptp.tptp0)) % 0.45/0.69 (define @t205 () (and @t204 (forall @t28 (or (not (tptp.min_precedes @t177 @t23 tptp.tptp0)) (not (tptp.min_precedes @t23 @t176 tptp.tptp0)))))) % 0.45/0.69 (define @t206 () (= @t191 @t205)) % 0.45/0.69 (define @t207 () (@list false)) % 0.45/0.69 (define @t208 () (tptp.min_precedes @t178 @t177 tptp.tptp0)) % 0.45/0.69 (define @t209 () (and @t208 (forall @t28 (or (not (tptp.min_precedes @t178 @t23 tptp.tptp0)) (not (tptp.min_precedes @t23 @t177 tptp.tptp0)))))) % 0.45/0.69 (define @t210 () (= @t196 @t209)) % 0.45/0.69 (define @t211 () (tptp.min_precedes @t178 @t176 tptp.tptp0)) % 0.45/0.69 (define @t212 () (not @t204)) % 0.45/0.69 (define @t213 () (not @t208)) % 0.45/0.69 (define @t214 () (or @t213 @t212 @t211)) % 0.45/0.69 (define @t215 () (not @t211)) % 0.45/0.69 (define @t216 () (or @t201 @t199 @t195 @t215 @t193)) % 0.45/0.69 (define @t217 () (not @t216)) % 0.45/0.69 (assume @p1 @t9) % 0.45/0.69 (assume @p2 (forall (@list @t11 @t12 @t10) (=> (and (tptp.earlier @t11 @t12) (tptp.earlier @t12 @t10)) (tptp.earlier @t11 @t10)))) % 0.45/0.69 (assume @p3 (forall (@list @t14 @t13 @t15 @t16) (=> (and (tptp.occurrence_of @t15 @t16) (tptp.root_occ @t14 @t15) (tptp.root_occ @t13 @t15)) (= @t14 @t13)))) % 0.45/0.69 (assume @p4 (forall (@list @t18 @t17 @t19 @t20) (=> (and (tptp.occurrence_of @t19 @t20) (not (tptp.atomic @t20)) (tptp.leaf_occ @t18 @t19) (tptp.leaf_occ @t17 @t19)) (= @t18 @t17)))) % 0.45/0.69 (assume @p5 @t35) % 0.45/0.69 (assume @p6 (forall (@list @t37 @t36 @t38) (=> (tptp.next_subocc @t37 @t36 @t38) (and (tptp.arboreal @t37) (tptp.arboreal @t36))))) % 0.45/0.69 (assume @p7 (forall (@list @t40 @t39 @t41) (=> (tptp.min_precedes @t40 @t39 @t41) (tptp.precedes @t40 @t39)))) % 0.45/0.69 (assume @p8 (forall (@list @t44 @t43 @t42) (=> (tptp.min_precedes @t44 @t43 @t42) (not (tptp.root @t43 @t42))))) % 0.45/0.69 (assume @p9 (forall (@list @t46 @t45) (= (tptp.precedes @t46 @t45) (and (tptp.earlier @t46 @t45) (tptp.legal @t45))))) % 0.45/0.69 (assume @p10 (forall (@list @t47 @t48) (=> (tptp.earlier @t47 @t48) (not (tptp.earlier @t48 @t47))))) % 0.45/0.69 (assume @p11 (forall (@list @t50 @t51) (= (tptp.root_occ @t50 @t51) (exists (@list @t49) (and (tptp.occurrence_of @t51 @t49) (tptp.subactivity_occurrence @t50 @t51) (tptp.root @t50 @t49)))))) % 0.45/0.69 (assume @p12 (forall (@list @t53 @t54) (= (tptp.leaf_occ @t53 @t54) (exists (@list @t52) (and (tptp.occurrence_of @t54 @t52) (tptp.subactivity_occurrence @t53 @t54) (tptp.leaf @t53 @t52)))))) % 0.45/0.69 (assume @p13 (forall (@list @t55 @t56) (=> (tptp.root @t55 @t56) (tptp.legal @t55)))) % 0.45/0.69 (assume @p14 (forall (@list @t58 @t57) (=> (tptp.occurrence_of @t58 @t57) (= (tptp.arboreal @t58) (tptp.atomic @t57))))) % 0.45/0.69 (assume @p15 (forall (@list @t61 @t59) (= (tptp.leaf @t61 @t59) (and (or (tptp.root @t61 @t59) (exists (@list @t62) (tptp.min_precedes @t62 @t61 @t59))) (not (exists (@list @t60) (tptp.min_precedes @t61 @t60 @t59))))))) % 0.45/0.69 (assume @p16 (forall (@list @t64 @t65) (= (tptp.atocc @t64 @t65) (exists (@list @t63) (and (tptp.subactivity @t65 @t63) (tptp.atomic @t63) (tptp.occurrence_of @t64 @t63)))))) % 0.45/0.69 (assume @p17 (forall (@list @t67 @t66) (=> (and (tptp.atocc @t67 @t66) (tptp.legal @t67)) (tptp.root @t67 @t66)))) % 0.45/0.69 (assume @p18 (forall (@list @t68) (=> (tptp.legal @t68) (tptp.arboreal @t68)))) % 0.45/0.69 (assume @p19 (forall (@list @t70) (=> (tptp.activity_occurrence @t70) (exists (@list @t69) (and (tptp.activity @t69) (tptp.occurrence_of @t70 @t69)))))) % 0.45/0.69 (assume @p20 (forall (@list @t72 @t71) (=> (tptp.subactivity_occurrence @t72 @t71) (and (tptp.activity_occurrence @t72) (tptp.activity_occurrence @t71))))) % 0.45/0.69 (assume @p21 (forall (@list @t76 @t74 @t73) (=> (and (tptp.occurrence_of @t76 @t73) (tptp.root_occ @t74 @t76)) (not (exists (@list @t75) (tptp.min_precedes @t75 @t74 @t73)))))) % 0.45/0.69 (assume @p22 (forall (@list @t80 @t79 @t77) (=> (and (tptp.occurrence_of @t80 @t77) (tptp.leaf_occ @t79 @t80)) (not (exists (@list @t78) (tptp.min_precedes @t79 @t78 @t77)))))) % 0.45/0.69 (assume @p23 (forall (@list @t83 @t82 @t81) (=> (and (tptp.occurrence_of @t83 @t82) (tptp.occurrence_of @t83 @t81)) (= @t82 @t81)))) % 0.45/0.69 (assume @p24 (forall (@list @t85 @t86) (=> (and (tptp.leaf @t85 @t86) (not (tptp.atomic @t86))) (exists (@list @t84) (and (tptp.occurrence_of @t84 @t86) (tptp.leaf_occ @t85 @t84)))))) % 0.45/0.69 (assume @p25 (forall (@list @t90 @t89 @t88) (=> (tptp.min_precedes @t89 @t88 @t90) (exists (@list @t87) (and (tptp.occurrence_of @t87 @t90) (tptp.subactivity_occurrence @t89 @t87) (tptp.subactivity_occurrence @t88 @t87)))))) % 0.45/0.69 (assume @p26 (forall (@list @t92 @t93) (=> (and (tptp.leaf @t92 @t93) (not (tptp.atomic @t93))) (exists (@list @t91) (and (tptp.occurrence_of @t91 @t93) (tptp.leaf_occ @t92 @t91)))))) % 0.45/0.69 (assume @p27 (forall (@list @t98 @t97 @t95) (=> (tptp.min_precedes @t97 @t95 @t98) (exists (@list @t96 @t94) (and (tptp.subactivity @t96 @t98) (tptp.subactivity @t94 @t98) (tptp.atocc @t97 @t96) (tptp.atocc @t95 @t94)))))) % 0.45/0.69 (assume @p28 (forall (@list @t101 @t100) (=> (tptp.root @t100 @t101) (exists (@list @t99) (and (tptp.subactivity @t99 @t101) (tptp.atocc @t100 @t99)))))) % 0.45/0.69 (assume @p29 (forall (@list @t104 @t105 @t103 @t102) (=> (and (tptp.occurrence_of @t105 @t104) (tptp.arboreal @t103) (tptp.arboreal @t102) (tptp.subactivity_occurrence @t103 @t105) (tptp.subactivity_occurrence @t102 @t105)) (or (tptp.min_precedes @t103 @t102 @t104) (tptp.min_precedes @t102 @t103 @t104) (= @t103 @t102))))) % 0.45/0.69 (assume @p30 (forall (@list @t107 @t106) (=> (tptp.occurrence_of @t106 @t107) (and (tptp.activity @t107) (tptp.activity_occurrence @t106))))) % 0.45/0.69 (assume @p31 (forall (@list @t110 @t108) (=> (and (tptp.occurrence_of @t108 @t110) (not (tptp.atomic @t110))) (exists (@list @t109) (and (tptp.root @t109 @t110) (tptp.subactivity_occurrence @t109 @t108)))))) % 0.45/0.69 (assume @p32 (forall (@list @t111) (=> (tptp.activity @t111) (tptp.subactivity @t111 @t111)))) % 0.45/0.69 (assume @p33 @t131) % 0.45/0.69 (assume @p34 (tptp.activity tptp.tptp0)) % 0.45/0.69 (assume @p35 (not (tptp.atomic tptp.tptp0))) % 0.45/0.69 (assume @p36 (tptp.atomic tptp.tptp4)) % 0.45/0.69 (assume @p37 (tptp.atomic tptp.tptp2)) % 0.45/0.69 (assume @p38 (tptp.atomic tptp.tptp1)) % 0.45/0.69 (assume @p39 (tptp.atomic tptp.tptp3)) % 0.45/0.69 (assume @p40 (not (= tptp.tptp4 tptp.tptp3))) % 0.45/0.69 (assume @p41 (not (= tptp.tptp4 tptp.tptp2))) % 0.45/0.69 (assume @p42 (not (= tptp.tptp4 tptp.tptp1))) % 0.45/0.69 (assume @p43 (not (= tptp.tptp3 tptp.tptp2))) % 0.45/0.69 (assume @p44 (not (= tptp.tptp3 tptp.tptp1))) % 0.45/0.69 (assume @p45 (not (= tptp.tptp2 tptp.tptp1))) % 0.45/0.69 (assume @p46 @t149) % 0.45/0.69 (assume @p47 true) % 0.45/0.69 (step @p48 :rule bool-impl-elim :args (@t145 @t155)) % 0.45/0.69 (step @p49 :rule cong :premises (@p48) :args ((forall @t147 (=> @t145 @t155)))) % 0.45/0.69 (step @p50 :rule refl :args (@t150)) % 0.45/0.69 (step @p51 :rule refl :args (@t151)) % 0.45/0.69 (step @p52 :rule bool-or-de-morgan :args (@t138 @t137 false)) % 0.45/0.69 (step @p53 :rule refl :args (@t153)) % 0.45/0.69 (step @p54 :rule refl :args (@t154)) % 0.45/0.69 (step @p55 :rule nary_cong :premises (@p54 @p53 @p52 @p51 @p50) :args (@t157)) % 0.45/0.69 (step @p56 :rule aci_norm :args ((= (or @t154 (or @t153 (or @t156 (or @t151 @t150)))) @t157))) % 0.45/0.69 (step @p57 :rule bool-and-de-morgan :args (@t136 @t134 true)) % 0.45/0.69 (step @p58 :rule refl :args (@t156)) % 0.45/0.69 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t156 (not (and @t136 @t134))))) % 0.45/0.69 (step @p60 :rule bool-and-de-morgan :args (@t139 @t136 (and @t134))) % 0.45/0.69 (step @p61 :rule trans :premises (@p60 @p59)) % 0.45/0.69 (step @p62 :rule nary_cong :premises (@p53 @p61) :args ((or @t153 (not (and @t139 @t136 @t134))))) % 0.45/0.69 (step @p63 :rule bool-and-de-morgan :args (@t140 @t139 (and @t136 @t134))) % 0.45/0.69 (step @p64 :rule trans :premises (@p63 @p62)) % 0.45/0.69 (step @p65 :rule nary_cong :premises (@p54 @p64) :args ((or @t154 (not (and @t140 @t139 @t136 @t134))))) % 0.45/0.69 (step @p66 :rule bool-and-de-morgan :args (@t141 @t140 (and @t139 @t136 @t134))) % 0.45/0.69 (step @p67 :rule trans :premises (@p66 @p65)) % 0.45/0.69 (step @p68 :rule trans :premises (@p67 @p56)) % 0.45/0.69 (step @p69 :rule trans :premises (@p68 @p55)) % 0.45/0.69 (step @p70 :rule cong :premises (@p69) :args (@t158)) % 0.45/0.69 (step @p71 :rule cong :premises (@p70) :args (@t159)) % 0.45/0.69 (step @p72 :rule exists-elim :args ((= @t144 @t159))) % 0.45/0.69 (step @p73 :rule trans :premises (@p72 @p71)) % 0.45/0.69 (step @p74 :rule refl :args (@t145)) % 0.45/0.69 (step @p75 :rule cong :premises (@p74 @p73) :args (@t146)) % 0.45/0.69 (step @p76 :rule cong :premises (@p75) :args (@t148)) % 0.45/0.69 (step @p77 :rule trans :premises (@p76 @p49)) % 0.45/0.69 (step @p78 :rule cong :premises (@p77) :args (@t149)) % 0.45/0.69 (step @p79 :rule eq_resolve :premises (@p46 @p78)) % 0.45/0.69 (step @p80 :rule skolemize :premises (@p79)) % 0.45/0.69 (step @p81 :rule bool-double-not-elim :args (@t161)) % 0.45/0.69 (step @p82 :rule refl :args (@t165)) % 0.45/0.69 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t165 (not @t162)))) % 0.45/0.70 (step @p84 :rule cnf_or_neg :args (@t165 1)) % 0.45/0.70 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.45/0.70 (step @p86 :rule reordering :premises (@p85) :args ((or @t161 @t165))) % 0.45/0.70 (step @p87 :rule chain_m_resolution :premises (@p86 @p80) :args (@t161 @t166 @t167)) % 0.45/0.70 (step @p88 :rule aci_norm :args ((= (or (or @t169 @t168) @t4) (or @t169 @t168 @t4)))) % 0.45/0.70 (step @p89 :rule refl :args (@t4)) % 0.45/0.70 (step @p90 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.45/0.70 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or (not @t8) @t4))) % 0.45/0.70 (step @p92 :rule trans :premises (@p91 @p88)) % 0.45/0.70 (step @p93 :rule bool-impl-elim :args (@t8 @t4)) % 0.45/0.70 (step @p94 :rule trans :premises (@p93 @p92)) % 0.45/0.70 (step @p95 :rule cong :premises (@p94) :args (@t9)) % 0.45/0.70 (step @p96 :rule eq_resolve :premises (@p1 @p95)) % 0.45/0.70 (step @p97 :rule instantiate :premises (@p96) :args ((@list @t178 @t177 @t176 tptp.tptp0))) % 0.45/0.70 (step @p98 :rule bool-double-not-elim :args ((forall @t28 (or (not @t26) (not @t24))))) % 0.45/0.70 (step @p99 :rule bool-and-de-morgan :args (@t26 @t24 true)) % 0.45/0.70 (step @p100 :rule cong :premises (@p99) :args (@t179)) % 0.45/0.70 (step @p101 :rule cong :premises (@p100) :args (@t180)) % 0.45/0.70 (step @p102 :rule exists-elim :args ((= @t29 @t180))) % 0.45/0.70 (step @p103 :rule trans :premises (@p102 @p101)) % 0.45/0.70 (step @p104 :rule cong :premises (@p103) :args (@t30)) % 0.45/0.70 (step @p105 :rule trans :premises (@p104 @p98)) % 0.45/0.70 (step @p106 :rule refl :args (@t31)) % 0.45/0.70 (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t32)) % 0.45/0.70 (step @p108 :rule refl :args (@t33)) % 0.45/0.70 (step @p109 :rule cong :premises (@p108 @p107) :args (@t34)) % 0.45/0.70 (step @p110 :rule cong :premises (@p109) :args (@t35)) % 0.45/0.70 (step @p111 :rule eq_resolve :premises (@p5 @p110)) % 0.45/0.70 (step @p112 :rule instantiate :premises (@p111) :args ((@list @t177 @t176 tptp.tptp0))) % 0.45/0.70 (step @p113 :rule bool-impl-elim :args (@t128 @t183)) % 0.45/0.70 (step @p114 :rule cong :premises (@p113) :args ((forall @t130 (=> @t128 @t183)))) % 0.45/0.70 (step @p115 :rule refl :args (@t181)) % 0.45/0.70 (step @p116 :rule refl :args (@t170)) % 0.45/0.70 (step @p117 :rule bool-or-de-morgan :args (@t118 @t117 false)) % 0.45/0.70 (step @p118 :rule refl :args (@t172)) % 0.45/0.70 (step @p119 :rule refl :args (@t173)) % 0.45/0.70 (step @p120 :rule refl :args (@t182)) % 0.45/0.70 (step @p121 :rule refl :args (@t174)) % 0.45/0.70 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118 @p117 @p116 @p115) :args (@t185)) % 0.45/0.70 (step @p123 :rule aci_norm :args ((= (or @t174 (or @t182 (or @t173 (or @t172 (or @t184 (or @t170 @t181)))))) @t185))) % 0.45/0.70 (step @p124 :rule bool-and-de-morgan :args (@t116 @t114 true)) % 0.45/0.70 (step @p125 :rule refl :args (@t184)) % 0.45/0.70 (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or @t184 (not (and @t116 @t114))))) % 0.45/0.70 (step @p127 :rule bool-and-de-morgan :args (@t119 @t116 (and @t114))) % 0.45/0.70 (step @p128 :rule trans :premises (@p127 @p126)) % 0.45/0.70 (step @p129 :rule nary_cong :premises (@p118 @p128) :args ((or @t172 (not (and @t119 @t116 @t114))))) % 0.45/0.70 (step @p130 :rule bool-and-de-morgan :args (@t121 @t119 (and @t116 @t114))) % 0.45/0.70 (step @p131 :rule trans :premises (@p130 @p129)) % 0.45/0.70 (step @p132 :rule nary_cong :premises (@p119 @p131) :args ((or @t173 (not (and @t121 @t119 @t116 @t114))))) % 0.45/0.70 (step @p133 :rule bool-and-de-morgan :args (@t122 @t121 (and @t119 @t116 @t114))) % 0.45/0.70 (step @p134 :rule trans :premises (@p133 @p132)) % 0.45/0.70 (step @p135 :rule nary_cong :premises (@p120 @p134) :args ((or @t182 (not (and @t122 @t121 @t119 @t116 @t114))))) % 0.45/0.70 (step @p136 :rule bool-and-de-morgan :args (@t123 @t122 (and @t121 @t119 @t116 @t114))) % 0.45/0.70 (step @p137 :rule trans :premises (@p136 @p135)) % 0.45/0.70 (step @p138 :rule nary_cong :premises (@p121 @p137) :args ((or @t174 (not (and @t123 @t122 @t121 @t119 @t116 @t114))))) % 0.45/0.70 (step @p139 :rule bool-and-de-morgan :args (@t124 @t123 (and @t122 @t121 @t119 @t116 @t114))) % 0.45/0.70 (step @p140 :rule trans :premises (@p139 @p138)) % 0.45/0.70 (step @p141 :rule trans :premises (@p140 @p123)) % 0.45/0.70 (step @p142 :rule trans :premises (@p141 @p122)) % 0.45/0.70 (step @p143 :rule cong :premises (@p142) :args (@t186)) % 0.45/0.70 (step @p144 :rule cong :premises (@p143) :args (@t187)) % 0.45/0.70 (step @p145 :rule exists-elim :args ((= @t127 @t187))) % 0.45/0.70 (step @p146 :rule trans :premises (@p145 @p144)) % 0.45/0.70 (step @p147 :rule refl :args (@t128)) % 0.45/0.70 (step @p148 :rule cong :premises (@p147 @p146) :args (@t129)) % 0.45/0.70 (step @p149 :rule cong :premises (@p148) :args (@t131)) % 0.45/0.70 (step @p150 :rule trans :premises (@p149 @p114)) % 0.45/0.70 (step @p151 :rule eq_resolve :premises (@p33 @p150)) % 0.45/0.70 (step @p152 :rule instantiate :premises (@p151) :args ((@list @t160))) % 0.45/0.70 (step @p153 :rule bool-double-not-elim :args (@t163)) % 0.45/0.70 (step @p154 :rule nary_cong :premises (@p82 @p153) :args ((or @t165 (not @t164)))) % 0.45/0.70 (step @p155 :rule cnf_or_neg :args (@t165 0)) % 0.45/0.70 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.45/0.70 (step @p157 :rule reordering :premises (@p156) :args ((or @t163 @t165))) % 0.45/0.70 (step @p158 :rule chain_m_resolution :premises (@p157 @p80) :args (@t163 @t166 @t167)) % 0.45/0.70 (step @p159 :rule cnf_or_pos :args (@t189)) % 0.45/0.70 (step @p160 :rule reordering :premises (@p159) :args ((or @t164 @t188 (not @t189)))) % 0.45/0.70 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p152) :args (@t188 @t190 (@list @t163 @t189))) % 0.45/0.70 (step @p162 :rule skolemize :premises (@p161)) % 0.45/0.70 (step @p163 :rule bool-double-not-elim :args (@t191)) % 0.45/0.70 (step @p164 :rule refl :args (@t202)) % 0.45/0.70 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t202 (not @t194)))) % 0.45/0.70 (step @p166 :rule cnf_or_neg :args (@t202 5)) % 0.45/0.70 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.45/0.70 (step @p168 :rule reordering :premises (@p167) :args ((or @t191 @t202))) % 0.45/0.70 (step @p169 :rule chain_m_resolution :premises (@p168 @p162) :args (@t191 @t166 @t203)) % 0.45/0.70 (step @p170 :rule cnf_equiv_pos1 :args (@t206)) % 0.45/0.70 (step @p171 :rule reordering :premises (@p170) :args ((or @t194 @t205 (not @t206)))) % 0.45/0.70 (step @p172 :rule chain_m_resolution :premises (@p171 @p169 @p112) :args (@t205 @t190 (@list @t191 @t206))) % 0.45/0.70 (step @p173 :rule cnf_and_pos :args (@t205 0)) % 0.45/0.70 (step @p174 :rule reordering :premises (@p173) :args ((or @t204 (not @t205)))) % 0.45/0.70 (step @p175 :rule chain_m_resolution :premises (@p174 @p172) :args (@t204 @t207 (@list @t205))) % 0.45/0.70 (step @p176 :rule instantiate :premises (@p111) :args ((@list @t178 @t177 tptp.tptp0))) % 0.45/0.70 (step @p177 :rule bool-double-not-elim :args (@t196)) % 0.45/0.70 (step @p178 :rule nary_cong :premises (@p164 @p177) :args ((or @t202 (not @t197)))) % 0.54/0.70 (step @p179 :rule cnf_or_neg :args (@t202 3)) % 0.54/0.70 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 0.54/0.70 (step @p181 :rule reordering :premises (@p180) :args ((or @t196 @t202))) % 0.54/0.70 (step @p182 :rule chain_m_resolution :premises (@p181 @p162) :args (@t196 @t166 @t203)) % 0.54/0.70 (step @p183 :rule cnf_equiv_pos1 :args (@t210)) % 0.54/0.70 (step @p184 :rule reordering :premises (@p183) :args ((or @t197 @t209 (not @t210)))) % 0.54/0.70 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p176) :args (@t209 @t190 (@list @t196 @t210))) % 0.54/0.70 (step @p186 :rule cnf_and_pos :args (@t209 0)) % 0.54/0.70 (step @p187 :rule reordering :premises (@p186) :args ((or @t208 (not @t209)))) % 0.54/0.70 (step @p188 :rule chain_m_resolution :premises (@p187 @p185) :args (@t208 @t207 (@list @t209))) % 0.54/0.70 (step @p189 :rule cnf_or_pos :args (@t214)) % 0.54/0.70 (step @p190 :rule reordering :premises (@p189) :args ((or @t213 @t212 @t211 (not @t214)))) % 0.54/0.70 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p175 @p97) :args (@t211 (@list false false false) (@list @t208 @t204 @t214))) % 0.54/0.70 (step @p192 :rule bool-double-not-elim :args (@t192)) % 0.54/0.70 (step @p193 :rule nary_cong :premises (@p164 @p192) :args ((or @t202 (not @t193)))) % 0.54/0.70 (step @p194 :rule cnf_or_neg :args (@t202 6)) % 0.54/0.70 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 0.54/0.70 (step @p196 :rule reordering :premises (@p195) :args ((or @t192 @t202))) % 0.54/0.70 (step @p197 :rule chain_m_resolution :premises (@p196 @p162) :args (@t192 @t166 @t203)) % 0.54/0.70 (step @p198 :rule cnf_or_neg :args (@t202 4)) % 0.54/0.70 (step @p199 :rule chain_m_resolution :premises (@p198 @p162) :args ((not @t195) @t166 @t203)) % 0.54/0.70 (step @p200 :rule bool-double-not-elim :args (@t198)) % 0.54/0.70 (step @p201 :rule nary_cong :premises (@p164 @p200) :args ((or @t202 (not @t199)))) % 0.54/0.70 (step @p202 :rule cnf_or_neg :args (@t202 1)) % 0.54/0.70 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 0.54/0.70 (step @p204 :rule reordering :premises (@p203) :args ((or @t198 @t202))) % 0.54/0.70 (step @p205 :rule chain_m_resolution :premises (@p204 @p162) :args (@t198 @t166 @t203)) % 0.54/0.70 (step @p206 :rule bool-double-not-elim :args (@t200)) % 0.54/0.70 (step @p207 :rule nary_cong :premises (@p164 @p206) :args ((or @t202 (not @t201)))) % 0.54/0.70 (step @p208 :rule cnf_or_neg :args (@t202 0)) % 0.54/0.70 (step @p209 :rule eq_resolve :premises (@p208 @p207)) % 0.54/0.70 (step @p210 :rule reordering :premises (@p209) :args ((or @t200 @t202))) % 0.54/0.70 (step @p211 :rule chain_m_resolution :premises (@p210 @p162) :args (@t200 @t166 @t203)) % 0.54/0.70 (step @p212 :rule cnf_or_pos :args (@t216)) % 0.54/0.70 (step @p213 :rule reordering :premises (@p212) :args ((or @t201 @t199 @t195 @t193 @t215 @t217))) % 0.54/0.70 (step @p214 :rule chain_m_resolution :premises (@p213 @p211 @p205 @p199 @p197 @p191) :args (@t217 (@list false false true false false) (@list @t200 @t198 @t195 @t192 @t211))) % 0.54/0.70 (assume-push @p221 @t161) % 0.54/0.70 (step @p216 :rule instantiate :premises (@p87) :args ((@list @t178 @t176))) % 0.54/0.70 (step-pop @p222 :rule scope :premises (@p216)) % 0.54/0.70 (step @p217 :rule process_scope :premises (@p222) :args (@t216)) % 0.54/0.70 (step @p219 :rule implies_elim :premises (@p217)) % 0.54/0.70 (step @p220 false :rule chain_m_resolution :premises (@p219 @p214 @p87) :args (false (@list true false) (@list @t216 @t161))) % 0.54/0.70 ) % 0.54/0.70 % SZS output end Proof % 0.54/0.70 % cvc5 exiting %------------------------------------------------------------------------------