%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO017+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 : n011.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 08:43:47 AM UTC 2026 % Result : Theorem 34.09s 34.83s % Output : Proof 34.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PRO017+4 : 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 % 0.17/0.35 % Computer : n011.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 13:10:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.09/34.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.09/34.83 --- Run --no-e-matching --full-saturate-quant at 6... % 34.09/34.83 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.09/34.83 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.09/34.83 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.09/34.83 % SZS status Theorem % 34.09/34.83 % SZS output start Proof % 34.09/34.83 ( % 34.09/34.83 (declare-sort $$unsorted 0) % 34.09/34.83 (declare-const tptp.tptp1 $$unsorted) % 34.09/34.83 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.legal (-> $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.tptp0 $$unsorted) % 34.09/34.83 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.atomic (-> $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.tptp3 $$unsorted) % 34.09/34.83 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.tptp4 $$unsorted) % 34.09/34.83 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.activity (-> $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 34.09/34.83 (declare-const tptp.tptp2 $$unsorted) % 34.09/34.83 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 34.09/34.83 (define @t1 () (@var "X1" $$unsorted)) % 34.09/34.83 (define @t2 () (@var "X2" $$unsorted)) % 34.09/34.83 (define @t3 () (@var "X0" $$unsorted)) % 34.09/34.83 (define @t4 () (@var "X3" $$unsorted)) % 34.09/34.83 (define @t5 () (@var "X7" $$unsorted)) % 34.09/34.83 (define @t6 () (@var "X5" $$unsorted)) % 34.09/34.83 (define @t7 () (@var "X6" $$unsorted)) % 34.09/34.83 (define @t8 () (@var "X4" $$unsorted)) % 34.09/34.83 (define @t9 () (@var "X10" $$unsorted)) % 34.09/34.83 (define @t10 () (@var "X11" $$unsorted)) % 34.09/34.83 (define @t11 () (@var "X8" $$unsorted)) % 34.09/34.83 (define @t12 () (@var "X9" $$unsorted)) % 34.09/34.83 (define @t13 () (@var "X13" $$unsorted)) % 34.09/34.83 (define @t14 () (@var "X12" $$unsorted)) % 34.09/34.83 (define @t15 () (@var "X17" $$unsorted)) % 34.09/34.83 (define @t16 () (@var "X16" $$unsorted)) % 34.09/34.83 (define @t17 () (@var "X14" $$unsorted)) % 34.09/34.83 (define @t18 () (@var "X15" $$unsorted)) % 34.09/34.83 (define @t19 () (@var "X20" $$unsorted)) % 34.09/34.83 (define @t20 () (@var "X19" $$unsorted)) % 34.09/34.83 (define @t21 () (@var "X18" $$unsorted)) % 34.09/34.83 (define @t22 () (@var "X24" $$unsorted)) % 34.09/34.83 (define @t23 () (@var "X23" $$unsorted)) % 34.09/34.83 (define @t24 () (tptp.subactivity_occurrence @t23 @t22)) % 34.09/34.83 (define @t25 () (@var "X22" $$unsorted)) % 34.09/34.83 (define @t26 () (tptp.subactivity_occurrence @t25 @t22)) % 34.09/34.83 (define @t27 () (@var "X21" $$unsorted)) % 34.09/34.83 (define @t28 () (tptp.occurrence_of @t22 @t27)) % 34.09/34.83 (define @t29 () (and @t28 @t26 @t24)) % 34.09/34.83 (define @t30 () (@list @t22)) % 34.09/34.83 (define @t31 () (exists @t30 @t29)) % 34.09/34.83 (define @t32 () (tptp.min_precedes @t25 @t23 @t27)) % 34.09/34.83 (define @t33 () (=> @t32 @t31)) % 34.09/34.83 (define @t34 () (@list @t27 @t25 @t23)) % 34.09/34.83 (define @t35 () (forall @t34 @t33)) % 34.09/34.83 (define @t36 () (@var "X27" $$unsorted)) % 34.09/34.83 (define @t37 () (@var "X25" $$unsorted)) % 34.09/34.83 (define @t38 () (@var "X26" $$unsorted)) % 34.09/34.83 (define @t39 () (@var "X30" $$unsorted)) % 34.09/34.83 (define @t40 () (@var "X29" $$unsorted)) % 34.09/34.83 (define @t41 () (= @t40 @t39)) % 34.09/34.83 (define @t42 () (@var "X28" $$unsorted)) % 34.09/34.83 (define @t43 () (tptp.occurrence_of @t42 @t39)) % 34.09/34.83 (define @t44 () (tptp.occurrence_of @t42 @t40)) % 34.09/34.83 (define @t45 () (and @t44 @t43)) % 34.09/34.83 (define @t46 () (forall (@list @t42 @t40 @t39) (=> @t45 @t41))) % 34.09/34.83 (define @t47 () (@var "X33" $$unsorted)) % 34.09/34.83 (define @t48 () (@var "X34" $$unsorted)) % 34.09/34.83 (define @t49 () (@var "X32" $$unsorted)) % 34.09/34.83 (define @t50 () (tptp.min_precedes @t49 @t48 @t47)) % 34.09/34.83 (define @t51 () (@list @t48)) % 34.09/34.83 (define @t52 () (exists @t51 @t50)) % 34.09/34.83 (define @t53 () (not @t52)) % 34.09/34.83 (define @t54 () (@var "X31" $$unsorted)) % 34.09/34.83 (define @t55 () (tptp.leaf_occ @t49 @t54)) % 34.09/34.83 (define @t56 () (tptp.occurrence_of @t54 @t47)) % 34.09/34.83 (define @t57 () (and @t56 @t55)) % 34.09/34.83 (define @t58 () (=> @t57 @t53)) % 34.09/34.83 (define @t59 () (@list @t54 @t49 @t47)) % 34.09/34.83 (define @t60 () (forall @t59 @t58)) % 34.09/34.83 (define @t61 () (@var "X37" $$unsorted)) % 34.09/34.83 (define @t62 () (@var "X36" $$unsorted)) % 34.09/34.83 (define @t63 () (@var "X38" $$unsorted)) % 34.09/34.83 (define @t64 () (@var "X35" $$unsorted)) % 34.09/34.83 (define @t65 () (@var "X40" $$unsorted)) % 34.09/34.83 (define @t66 () (@var "X39" $$unsorted)) % 34.09/34.83 (define @t67 () (@var "X42" $$unsorted)) % 34.09/34.83 (define @t68 () (@var "X41" $$unsorted)) % 34.09/34.83 (define @t69 () (@var "X43" $$unsorted)) % 34.09/34.83 (define @t70 () (@var "X46" $$unsorted)) % 34.09/34.83 (define @t71 () (@var "X44" $$unsorted)) % 34.09/34.83 (define @t72 () (@var "X45" $$unsorted)) % 34.09/34.83 (define @t73 () (@var "X48" $$unsorted)) % 34.09/34.83 (define @t74 () (@var "X50" $$unsorted)) % 34.09/34.83 (define @t75 () (@var "X47" $$unsorted)) % 34.09/34.83 (define @t76 () (@var "X49" $$unsorted)) % 34.09/34.83 (define @t77 () (@var "X52" $$unsorted)) % 34.09/34.83 (define @t78 () (@var "X51" $$unsorted)) % 34.09/34.83 (define @t79 () (= (tptp.arboreal @t78) (tptp.atomic @t77))) % 34.09/34.83 (define @t80 () (tptp.occurrence_of @t78 @t77)) % 34.09/34.83 (define @t81 () (@list @t78 @t77)) % 34.09/34.83 (define @t82 () (forall @t81 (=> @t80 @t79))) % 34.09/34.83 (define @t83 () (@var "X53" $$unsorted)) % 34.09/34.83 (define @t84 () (@var "X54" $$unsorted)) % 34.09/34.83 (define @t85 () (@var "X57" $$unsorted)) % 34.09/34.83 (define @t86 () (@var "X55" $$unsorted)) % 34.09/34.83 (define @t87 () (@var "X56" $$unsorted)) % 34.09/34.83 (define @t88 () (@var "X60" $$unsorted)) % 34.09/34.83 (define @t89 () (@var "X58" $$unsorted)) % 34.09/34.83 (define @t90 () (@var "X59" $$unsorted)) % 34.09/34.83 (define @t91 () (@var "X61" $$unsorted)) % 34.09/34.83 (define @t92 () (@var "X62" $$unsorted)) % 34.09/34.83 (define @t93 () (@var "X64" $$unsorted)) % 34.09/34.83 (define @t94 () (@var "X63" $$unsorted)) % 34.09/34.83 (define @t95 () (@var "X67" $$unsorted)) % 34.09/34.83 (define @t96 () (@var "X66" $$unsorted)) % 34.09/34.83 (define @t97 () (@var "X65" $$unsorted)) % 34.09/34.83 (define @t98 () (@var "X70" $$unsorted)) % 34.09/34.83 (define @t99 () (@var "X69" $$unsorted)) % 34.09/34.83 (define @t100 () (@var "X71" $$unsorted)) % 34.09/34.83 (define @t101 () (@var "X68" $$unsorted)) % 34.09/34.83 (define @t102 () (@var "X73" $$unsorted)) % 34.09/34.83 (define @t103 () (@var "X72" $$unsorted)) % 34.09/34.83 (define @t104 () (@var "X74" $$unsorted)) % 34.09/34.83 (define @t105 () (@var "X76" $$unsorted)) % 34.09/34.83 (define @t106 () (@var "X75" $$unsorted)) % 34.09/34.83 (define @t107 () (@var "X77" $$unsorted)) % 34.09/34.83 (define @t108 () (@var "X80" $$unsorted)) % 34.09/34.83 (define @t109 () (@var "X79" $$unsorted)) % 34.09/34.83 (define @t110 () (@var "X81" $$unsorted)) % 34.09/34.83 (define @t111 () (tptp.min_precedes @t110 @t109 @t108)) % 34.09/34.83 (define @t112 () (@var "X78" $$unsorted)) % 34.09/34.83 (define @t113 () (tptp.min_precedes @t112 @t110 @t108)) % 34.09/34.83 (define @t114 () (and @t113 @t111)) % 34.09/34.83 (define @t115 () (@list @t110)) % 34.09/34.83 (define @t116 () (exists @t115 @t114)) % 34.09/34.83 (define @t117 () (not @t116)) % 34.09/34.83 (define @t118 () (tptp.min_precedes @t112 @t109 @t108)) % 34.09/34.83 (define @t119 () (and @t118 @t117)) % 34.09/34.83 (define @t120 () (tptp.next_subocc @t112 @t109 @t108)) % 34.09/34.83 (define @t121 () (= @t120 @t119)) % 34.09/34.83 (define @t122 () (forall (@list @t112 @t109 @t108) @t121)) % 34.09/34.83 (define @t123 () (@var "X85" $$unsorted)) % 34.09/34.83 (define @t124 () (@var "X82" $$unsorted)) % 34.09/34.83 (define @t125 () (@var "X83" $$unsorted)) % 34.09/34.83 (define @t126 () (@var "X84" $$unsorted)) % 34.09/34.83 (define @t127 () (@var "X87" $$unsorted)) % 34.09/34.83 (define @t128 () (@var "X86" $$unsorted)) % 34.09/34.83 (define @t129 () (@var "X88" $$unsorted)) % 34.09/34.83 (define @t130 () (@var "X89" $$unsorted)) % 34.09/34.83 (define @t131 () (@var "X91" $$unsorted)) % 34.09/34.83 (define @t132 () (@var "X90" $$unsorted)) % 34.09/34.83 (define @t133 () (@var "X92" $$unsorted)) % 34.09/34.83 (define @t134 () (@var "X93" $$unsorted)) % 34.09/34.83 (define @t135 () (@var "X96" $$unsorted)) % 34.09/34.83 (define @t136 () (@var "X94" $$unsorted)) % 34.09/34.83 (define @t137 () (@var "X95" $$unsorted)) % 34.09/34.83 (define @t138 () (@var "X100" $$unsorted)) % 34.09/34.83 (define @t139 () (@var "X99" $$unsorted)) % 34.09/34.83 (define @t140 () (@var "X98" $$unsorted)) % 34.09/34.83 (define @t141 () (@var "X97" $$unsorted)) % 34.09/34.83 (define @t142 () (@var "X105" $$unsorted)) % 34.09/34.83 (define @t143 () (@var "X106" $$unsorted)) % 34.09/34.83 (define @t144 () (@var "X104" $$unsorted)) % 34.09/34.83 (define @t145 () (or (= @t143 @t144) (= @t143 @t142))) % 34.09/34.83 (define @t146 () (@var "X103" $$unsorted)) % 34.09/34.83 (define @t147 () (tptp.min_precedes @t146 @t143 tptp.tptp0)) % 34.09/34.83 (define @t148 () (=> @t147 @t145)) % 34.09/34.83 (define @t149 () (@list @t143)) % 34.09/34.83 (define @t150 () (forall @t149 @t148)) % 34.09/34.83 (define @t151 () (tptp.min_precedes @t144 @t142 tptp.tptp0)) % 34.09/34.83 (define @t152 () (tptp.occurrence_of @t142 tptp.tptp1)) % 34.09/34.83 (define @t153 () (tptp.occurrence_of @t142 tptp.tptp2)) % 34.09/34.83 (define @t154 () (or @t153 @t152)) % 34.09/34.83 (define @t155 () (tptp.min_precedes @t146 @t144 tptp.tptp0)) % 34.09/34.83 (define @t156 () (tptp.occurrence_of @t144 tptp.tptp4)) % 34.09/34.83 (define @t157 () (@var "X101" $$unsorted)) % 34.09/34.83 (define @t158 () (tptp.next_subocc @t157 @t146 tptp.tptp0)) % 34.09/34.83 (define @t159 () (tptp.occurrence_of @t146 tptp.tptp3)) % 34.09/34.83 (define @t160 () (and @t159 @t158 @t156 @t155 @t154 @t151 @t150)) % 34.09/34.83 (define @t161 () (@list @t146 @t144 @t142)) % 34.09/34.83 (define @t162 () (exists @t161 @t160)) % 34.09/34.83 (define @t163 () (@var "X102" $$unsorted)) % 34.09/34.83 (define @t164 () (tptp.leaf_occ @t157 @t163)) % 34.09/34.83 (define @t165 () (not @t164)) % 34.09/34.83 (define @t166 () (tptp.arboreal @t157)) % 34.09/34.83 (define @t167 () (tptp.subactivity_occurrence @t157 @t163)) % 34.09/34.83 (define @t168 () (tptp.occurrence_of @t163 tptp.tptp0)) % 34.09/34.83 (define @t169 () (and @t168 @t167 @t166 @t165)) % 34.09/34.83 (define @t170 () (=> @t169 @t162)) % 34.09/34.83 (define @t171 () (@list @t157 @t163)) % 34.09/34.83 (define @t172 () (forall @t171 @t170)) % 34.09/34.83 (define @t173 () (tptp.atomic tptp.tptp3)) % 34.09/34.83 (define @t174 () (= tptp.tptp3 tptp.tptp2)) % 34.09/34.83 (define @t175 () (= tptp.tptp3 tptp.tptp1)) % 34.09/34.83 (define @t176 () (@var "X110" $$unsorted)) % 34.09/34.83 (define @t177 () (tptp.leaf @t176 tptp.tptp0)) % 34.09/34.83 (define @t178 () (@var "X109" $$unsorted)) % 34.09/34.83 (define @t179 () (tptp.min_precedes @t178 @t176 tptp.tptp0)) % 34.09/34.83 (define @t180 () (tptp.occurrence_of @t176 tptp.tptp1)) % 34.09/34.83 (define @t181 () (tptp.occurrence_of @t176 tptp.tptp2)) % 34.09/34.83 (define @t182 () (or @t181 @t180)) % 34.09/34.83 (define @t183 () (@var "X107" $$unsorted)) % 34.09/34.83 (define @t184 () (tptp.next_subocc @t183 @t178 tptp.tptp0)) % 34.09/34.83 (define @t185 () (tptp.occurrence_of @t178 tptp.tptp3)) % 34.09/34.83 (define @t186 () (and @t185 @t184 @t182 @t179 @t177)) % 34.09/34.83 (define @t187 () (@list @t178 @t176)) % 34.09/34.83 (define @t188 () (exists @t187 @t186)) % 34.09/34.83 (define @t189 () (@var "X108" $$unsorted)) % 34.09/34.83 (define @t190 () (tptp.leaf_occ @t183 @t189)) % 34.09/34.83 (define @t191 () (not @t190)) % 34.09/34.83 (define @t192 () (tptp.arboreal @t183)) % 34.09/34.83 (define @t193 () (tptp.subactivity_occurrence @t183 @t189)) % 34.09/34.83 (define @t194 () (tptp.occurrence_of @t189 tptp.tptp0)) % 34.09/34.83 (define @t195 () (and @t194 @t193 @t192 @t191)) % 34.09/34.83 (define @t196 () (=> @t195 @t188)) % 34.09/34.83 (define @t197 () (@list @t183 @t189)) % 34.09/34.83 (define @t198 () (forall @t197 @t196)) % 34.09/34.83 (define @t199 () (not @t198)) % 34.09/34.83 (define @t200 () (= @t142 @t143)) % 34.09/34.83 (define @t201 () (= @t144 @t143)) % 34.09/34.83 (define @t202 () (not @t147)) % 34.09/34.83 (define @t203 () (or @t202 @t201 @t200)) % 34.09/34.83 (define @t204 () (forall @t149 @t203)) % 34.09/34.83 (define @t205 () (not @t204)) % 34.09/34.83 (define @t206 () (not @t151)) % 34.09/34.83 (define @t207 () (and (not @t153) (not @t152))) % 34.09/34.83 (define @t208 () (not @t155)) % 34.09/34.83 (define @t209 () (not @t156)) % 34.09/34.83 (define @t210 () (not @t158)) % 34.09/34.83 (define @t211 () (not @t159)) % 34.09/34.83 (define @t212 () (not (forall @t161 (or @t211 @t210 @t209 @t208 @t207 @t206 @t205)))) % 34.09/34.83 (define @t213 () (not @t166)) % 34.09/34.83 (define @t214 () (not @t167)) % 34.09/34.83 (define @t215 () (not @t168)) % 34.09/34.83 (define @t216 () (not @t165)) % 34.09/34.83 (define @t217 () (or @t215 @t214 @t213 @t216)) % 34.09/34.83 (define @t218 () (not @t154)) % 34.09/34.83 (define @t219 () (or @t211 @t210 @t209 @t208 @t218 @t206 @t205)) % 34.09/34.83 (define @t220 () (and @t159 @t158 @t156 @t155 @t154 @t151 @t204)) % 34.09/34.83 (define @t221 () (forall @t161 (not @t220))) % 34.09/34.83 (define @t222 () (not @t221)) % 34.09/34.83 (define @t223 () (or @t201 @t200)) % 34.09/34.83 (define @t224 () (not @t177)) % 34.09/34.83 (define @t225 () (not @t179)) % 34.09/34.83 (define @t226 () (and (not @t181) (not @t180))) % 34.09/34.83 (define @t227 () (not @t184)) % 34.09/34.83 (define @t228 () (not @t185)) % 34.09/34.83 (define @t229 () (not (forall @t187 (or @t228 @t227 @t226 @t225 @t224)))) % 34.09/34.83 (define @t230 () (not @t192)) % 34.09/34.83 (define @t231 () (not @t193)) % 34.09/34.83 (define @t232 () (not @t194)) % 34.09/34.83 (define @t233 () (or @t232 @t231 @t230 @t190 @t229)) % 34.09/34.83 (define @t234 () (forall @t197 @t233)) % 34.09/34.83 (define @t235 () (@quantifiers_skolemize @t234 1)) % 34.09/34.83 (define @t236 () (@quantifiers_skolemize @t234 0)) % 34.09/34.83 (define @t237 () (not @t191)) % 34.09/34.83 (define @t238 () (or @t232 @t231 @t230 @t237)) % 34.09/34.83 (define @t239 () (not @t182)) % 34.09/34.83 (define @t240 () (or @t228 @t227 @t239 @t225 @t224)) % 34.09/34.83 (define @t241 () (forall @t187 (not @t186))) % 34.09/34.83 (define @t242 () (not @t241)) % 34.09/34.83 (define @t243 () (tptp.leaf_occ @t236 @t235)) % 34.09/34.83 (define @t244 () (tptp.arboreal @t236)) % 34.09/34.83 (define @t245 () (not @t244)) % 34.09/34.83 (define @t246 () (tptp.subactivity_occurrence @t236 @t235)) % 34.09/34.83 (define @t247 () (not @t246)) % 34.09/34.83 (define @t248 () (tptp.occurrence_of @t235 tptp.tptp0)) % 34.09/34.83 (define @t249 () (not @t248)) % 34.09/34.83 (define @t250 () (or @t249 @t247 @t245 @t243 (not (forall @t187 (or @t228 (not (tptp.next_subocc @t236 @t178 tptp.tptp0)) @t226 @t225 @t224))))) % 34.09/34.83 (define @t251 () (@list true)) % 34.09/34.83 (define @t252 () (@list @t250)) % 34.09/34.83 (define @t253 () (forall @t161 (or @t211 (not (tptp.next_subocc @t236 @t146 tptp.tptp0)) @t209 @t208 @t207 @t206 @t205))) % 34.09/34.83 (define @t254 () (not @t253)) % 34.09/34.83 (define @t255 () (or @t249 @t247 @t245 @t243 @t254)) % 34.09/34.83 (define @t256 () (@list false false false true false)) % 34.09/34.83 (define @t257 () (@quantifiers_skolemize @t253 2)) % 34.09/34.83 (define @t258 () (@quantifiers_skolemize @t253 1)) % 34.09/34.83 (define @t259 () (@quantifiers_skolemize @t253 0)) % 34.09/34.83 (define @t260 () (not (tptp.min_precedes @t259 @t143 tptp.tptp0))) % 34.09/34.83 (define @t261 () (forall @t149 (or @t260 (= @t143 @t258) (= @t143 @t257)))) % 34.09/34.83 (define @t262 () (not @t261)) % 34.09/34.83 (define @t263 () (not (tptp.min_precedes @t258 @t257 tptp.tptp0))) % 34.09/34.83 (define @t264 () (tptp.occurrence_of @t257 tptp.tptp1)) % 34.09/34.83 (define @t265 () (not @t264)) % 34.09/34.83 (define @t266 () (tptp.occurrence_of @t257 tptp.tptp2)) % 34.09/34.83 (define @t267 () (not @t266)) % 34.09/34.83 (define @t268 () (and @t267 @t265)) % 34.09/34.83 (define @t269 () (tptp.min_precedes @t259 @t258 tptp.tptp0)) % 34.09/34.83 (define @t270 () (not @t269)) % 34.09/34.83 (define @t271 () (tptp.occurrence_of @t258 tptp.tptp4)) % 34.09/34.83 (define @t272 () (not @t271)) % 34.09/34.83 (define @t273 () (not (tptp.next_subocc @t236 @t259 tptp.tptp0))) % 34.09/34.83 (define @t274 () (tptp.occurrence_of @t259 tptp.tptp3)) % 34.09/34.83 (define @t275 () (not @t274)) % 34.09/34.83 (define @t276 () (or @t275 @t273 @t272 @t270 @t268 @t263 @t262)) % 34.09/34.83 (define @t277 () (not @t276)) % 34.09/34.83 (define @t278 () (or @t260 (= @t258 @t143) (= @t257 @t143))) % 34.09/34.83 (define @t279 () (forall @t149 @t278)) % 34.09/34.83 (define @t280 () (not @t279)) % 34.09/34.83 (define @t281 () (or @t275 @t273 @t272 @t270 @t268 @t263 @t280)) % 34.09/34.83 (define @t282 () (not @t281)) % 34.09/34.83 (define @t283 () (@list @t276)) % 34.09/34.83 (define @t284 () (forall @t161 (or @t211 (not (tptp.next_subocc @t259 @t146 tptp.tptp0)) @t209 @t208 @t207 @t206 @t205))) % 34.09/34.83 (define @t285 () (@quantifiers_skolemize @t284 0)) % 34.09/34.83 (define @t286 () (tptp.min_precedes @t259 @t285 tptp.tptp0)) % 34.09/34.83 (define @t287 () (not @t286)) % 34.09/34.83 (define @t288 () (or @t287 (= @t285 @t258) (= @t285 @t257))) % 34.09/34.83 (define @t289 () (= @t257 @t285)) % 34.09/34.83 (define @t290 () (= @t258 @t285)) % 34.09/34.83 (define @t291 () (or @t287 @t290 @t289)) % 34.09/34.83 (define @t292 () (@list false)) % 34.09/34.83 (define @t293 () (forall @t30 (or (not (tptp.occurrence_of @t22 tptp.tptp0)) (not (tptp.subactivity_occurrence @t259 @t22)) (not (tptp.subactivity_occurrence @t258 @t22))))) % 34.09/34.83 (define @t294 () (@quantifiers_skolemize @t293 0)) % 34.09/34.83 (define @t295 () (@var "BOUND_VARIABLE_8008" $$unsorted)) % 34.09/34.83 (define @t296 () (not (tptp.min_precedes @t49 @t295 @t47))) % 34.09/34.83 (define @t297 () (not @t55)) % 34.09/34.83 (define @t298 () (not @t56)) % 34.09/34.83 (define @t299 () (or @t298 @t297 @t296)) % 34.09/34.83 (define @t300 () (@list @t295)) % 34.09/34.83 (define @t301 () (forall @t300 @t299)) % 34.09/34.83 (define @t302 () (forall @t300 @t296)) % 34.09/34.83 (define @t303 () (or @t298 @t297 @t302)) % 34.09/34.83 (define @t304 () (forall @t51 (not @t50))) % 34.09/34.83 (define @t305 () (or @t298 @t297 @t304)) % 34.09/34.83 (define @t306 () (not @t24)) % 34.09/34.83 (define @t307 () (not @t26)) % 34.09/34.83 (define @t308 () (not @t28)) % 34.09/34.83 (define @t309 () (or @t308 @t307 @t306)) % 34.09/34.83 (define @t310 () (not (forall @t30 @t309))) % 34.09/34.83 (define @t311 () (forall @t30 (not @t29))) % 34.09/34.83 (define @t312 () (not @t311)) % 34.09/34.83 (define @t313 () (not @t293)) % 34.09/34.83 (define @t314 () (or @t270 @t313)) % 34.09/34.83 (define @t315 () (@list false false)) % 34.09/34.83 (define @t316 () (tptp.occurrence_of @t294 tptp.tptp0)) % 34.09/34.83 (define @t317 () (tptp.subactivity_occurrence @t259 @t294)) % 34.09/34.83 (define @t318 () (not @t317)) % 34.09/34.83 (define @t319 () (not @t316)) % 34.09/34.83 (define @t320 () (or @t319 @t318 (not (tptp.subactivity_occurrence @t258 @t294)))) % 34.09/34.83 (define @t321 () (@list @t320)) % 34.09/34.83 (define @t322 () (tptp.leaf_occ @t259 @t294)) % 34.09/34.83 (define @t323 () (not @t322)) % 34.09/34.83 (define @t324 () (or @t319 @t323 @t270)) % 34.09/34.83 (define @t325 () (tptp.arboreal @t259)) % 34.09/34.83 (define @t326 () (or @t275 (= @t325 @t173))) % 34.09/34.83 (define @t327 () (forall @t81 (or (not @t80) @t79))) % 34.09/34.83 (define @t328 () (= @t173 @t325)) % 34.09/34.83 (define @t329 () (or @t275 @t328)) % 34.09/34.83 (define @t330 () (not @t284)) % 34.09/34.83 (define @t331 () (not @t325)) % 34.09/34.83 (define @t332 () (or @t319 @t318 @t331 @t322 @t330)) % 34.09/34.83 (define @t333 () (@quantifiers_skolemize @t284 2)) % 34.09/34.83 (define @t334 () (@quantifiers_skolemize @t284 1)) % 34.09/34.83 (define @t335 () (not (tptp.min_precedes @t285 @t143 tptp.tptp0))) % 34.09/34.83 (define @t336 () (not (tptp.min_precedes @t334 @t333 tptp.tptp0))) % 34.09/34.83 (define @t337 () (and (not (tptp.occurrence_of @t333 tptp.tptp2)) (not (tptp.occurrence_of @t333 tptp.tptp1)))) % 34.09/34.83 (define @t338 () (not (tptp.min_precedes @t285 @t334 tptp.tptp0))) % 34.09/34.83 (define @t339 () (not (tptp.occurrence_of @t334 tptp.tptp4))) % 34.09/34.83 (define @t340 () (tptp.next_subocc @t259 @t285 tptp.tptp0)) % 34.09/34.83 (define @t341 () (not @t340)) % 34.09/34.83 (define @t342 () (tptp.occurrence_of @t285 tptp.tptp3)) % 34.09/34.83 (define @t343 () (not @t342)) % 34.09/34.83 (define @t344 () (or @t343 @t341 @t339 @t338 @t337 @t336 (not (forall @t149 (or @t335 (= @t143 @t334) (= @t143 @t333)))))) % 34.09/34.83 (define @t345 () (not @t344)) % 34.09/34.83 (define @t346 () (or @t335 (= @t334 @t143) (= @t333 @t143))) % 34.09/34.83 (define @t347 () (forall @t149 @t346)) % 34.09/34.83 (define @t348 () (not @t347)) % 34.09/34.83 (define @t349 () (or @t343 @t341 @t339 @t338 @t337 @t336 @t348)) % 34.09/34.83 (define @t350 () (not @t349)) % 34.09/34.83 (define @t351 () (@list @t344)) % 34.09/34.83 (define @t352 () (not @t43)) % 34.09/34.83 (define @t353 () (not @t44)) % 34.09/34.83 (define @t354 () (= tptp.tptp3 tptp.tptp4)) % 34.09/34.83 (define @t355 () (tptp.occurrence_of @t258 tptp.tptp3)) % 34.09/34.83 (define @t356 () (not @t355)) % 34.09/34.83 (define @t357 () (or @t356 @t272 @t354)) % 34.09/34.83 (define @t358 () (@list true false false)) % 34.09/34.83 (define @t359 () (not @t290)) % 34.09/34.83 (define @t360 () (= true false)) % 34.09/34.83 (define @t361 () (and @t356 @t290 @t342)) % 34.09/34.83 (define @t362 () (forall @t115 (not @t114))) % 34.09/34.83 (define @t363 () (not @t362)) % 34.09/34.83 (define @t364 () (and @t286 (forall @t115 (or (not (tptp.min_precedes @t259 @t110 tptp.tptp0)) (not (tptp.min_precedes @t110 @t285 tptp.tptp0)))))) % 34.09/34.83 (define @t365 () (= @t340 @t364)) % 34.09/34.83 (define @t366 () (tptp.occurrence_of @t285 tptp.tptp2)) % 34.09/34.83 (define @t367 () (not @t366)) % 34.09/34.83 (define @t368 () (or @t343 @t367 @t174)) % 34.09/34.83 (define @t369 () (not @t289)) % 34.09/34.83 (define @t370 () (tptp.occurrence_of @t285 tptp.tptp1)) % 34.09/34.83 (define @t371 () (not @t370)) % 34.09/34.83 (define @t372 () (or @t343 @t371 @t175)) % 34.09/34.83 (define @t373 () (and @t371 @t289 @t264)) % 34.09/34.83 (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)))))) % 34.09/34.83 (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)))) % 34.09/34.83 (assume @p3 (forall (@list @t11 @t12 @t9 @t10) (=> (and (tptp.occurrence_of @t12 @t11) (tptp.subactivity_occurrence @t9 @t12) (tptp.leaf_occ @t10 @t12) (tptp.arboreal @t9) (not (tptp.min_precedes @t9 @t10 @t11))) (= @t10 @t9)))) % 34.09/34.83 (assume @p4 (forall (@list @t14 @t13) (=> (tptp.occurrence_of @t13 @t14) (and (tptp.activity @t14) (tptp.activity_occurrence @t13))))) % 34.09/34.83 (assume @p5 (forall (@list @t17 @t18 @t16 @t15) (=> (and (tptp.occurrence_of @t18 @t17) (tptp.arboreal @t16) (tptp.arboreal @t15) (tptp.subactivity_occurrence @t16 @t18) (tptp.subactivity_occurrence @t15 @t18)) (or (tptp.min_precedes @t16 @t15 @t17) (tptp.min_precedes @t15 @t16 @t17) (= @t16 @t15))))) % 34.09/34.83 (assume @p6 (forall (@list @t21 @t20) (=> (tptp.root @t20 @t21) (exists (@list @t19) (and (tptp.subactivity @t19 @t21) (tptp.atocc @t20 @t19)))))) % 34.09/34.83 (assume @p7 @t35) % 34.09/34.83 (assume @p8 (forall (@list @t37 @t38) (=> (and (tptp.leaf @t37 @t38) (not (tptp.atomic @t38))) (exists (@list @t36) (and (tptp.occurrence_of @t36 @t38) (tptp.leaf_occ @t37 @t36)))))) % 34.09/34.83 (assume @p9 @t46) % 34.09/34.83 (assume @p10 @t60) % 34.09/34.83 (assume @p11 (forall (@list @t64 @t62 @t61) (=> (and (tptp.occurrence_of @t64 @t61) (tptp.root_occ @t62 @t64)) (not (exists (@list @t63) (tptp.min_precedes @t63 @t62 @t61)))))) % 34.09/34.83 (assume @p12 (forall (@list @t66 @t65) (=> (tptp.subactivity_occurrence @t66 @t65) (and (tptp.activity_occurrence @t66) (tptp.activity_occurrence @t65))))) % 34.09/34.83 (assume @p13 (forall (@list @t68) (=> (tptp.activity_occurrence @t68) (exists (@list @t67) (and (tptp.activity @t67) (tptp.occurrence_of @t68 @t67)))))) % 34.09/34.83 (assume @p14 (forall (@list @t69) (=> (tptp.legal @t69) (tptp.arboreal @t69)))) % 34.09/34.83 (assume @p15 (forall (@list @t71 @t72) (= (tptp.atocc @t71 @t72) (exists (@list @t70) (and (tptp.subactivity @t72 @t70) (tptp.atomic @t70) (tptp.occurrence_of @t71 @t70)))))) % 34.09/34.83 (assume @p16 (forall (@list @t75 @t73) (= (tptp.leaf @t75 @t73) (and (or (tptp.root @t75 @t73) (exists (@list @t76) (tptp.min_precedes @t76 @t75 @t73))) (not (exists (@list @t74) (tptp.min_precedes @t75 @t74 @t73))))))) % 34.09/34.83 (assume @p17 @t82) % 34.09/34.83 (assume @p18 (forall (@list @t83 @t84) (=> (tptp.root @t83 @t84) (tptp.legal @t83)))) % 34.09/34.83 (assume @p19 (forall (@list @t86 @t87) (= (tptp.leaf_occ @t86 @t87) (exists (@list @t85) (and (tptp.occurrence_of @t87 @t85) (tptp.subactivity_occurrence @t86 @t87) (tptp.leaf @t86 @t85)))))) % 34.09/34.83 (assume @p20 (forall (@list @t89 @t90) (= (tptp.root_occ @t89 @t90) (exists (@list @t88) (and (tptp.occurrence_of @t90 @t88) (tptp.subactivity_occurrence @t89 @t90) (tptp.root @t89 @t88)))))) % 34.09/34.83 (assume @p21 (forall (@list @t91 @t92) (=> (tptp.earlier @t91 @t92) (not (tptp.earlier @t92 @t91))))) % 34.09/34.83 (assume @p22 (forall (@list @t94 @t93) (= (tptp.precedes @t94 @t93) (and (tptp.earlier @t94 @t93) (tptp.legal @t93))))) % 34.09/34.83 (assume @p23 (forall (@list @t97 @t96 @t95) (=> (tptp.min_precedes @t97 @t96 @t95) (not (tptp.root @t96 @t95))))) % 34.09/34.83 (assume @p24 (forall (@list @t101 @t99 @t98) (=> (tptp.min_precedes @t101 @t99 @t98) (exists (@list @t100) (and (tptp.root @t100 @t98) (tptp.min_precedes @t100 @t99 @t98)))))) % 34.09/34.83 (assume @p25 (forall (@list @t103 @t102 @t104) (=> (tptp.min_precedes @t103 @t102 @t104) (tptp.precedes @t103 @t102)))) % 34.09/34.83 (assume @p26 (forall (@list @t106 @t105 @t107) (=> (tptp.next_subocc @t106 @t105 @t107) (and (tptp.arboreal @t106) (tptp.arboreal @t105))))) % 34.09/34.83 (assume @p27 @t122) % 34.09/34.83 (assume @p28 (forall (@list @t124 @t125 @t126 @t123) (=> (and (tptp.min_precedes @t124 @t125 @t126) (tptp.occurrence_of @t123 @t126) (tptp.subactivity_occurrence @t125 @t123)) (tptp.subactivity_occurrence @t124 @t123)))) % 34.09/34.83 (assume @p29 (forall (@list @t128 @t127 @t129 @t130) (=> (and (tptp.occurrence_of @t129 @t130) (not (tptp.atomic @t130)) (tptp.leaf_occ @t128 @t129) (tptp.leaf_occ @t127 @t129)) (= @t128 @t127)))) % 34.09/34.83 (assume @p30 (forall (@list @t132 @t131 @t133 @t134) (=> (and (tptp.occurrence_of @t133 @t134) (tptp.root_occ @t132 @t133) (tptp.root_occ @t131 @t133)) (= @t132 @t131)))) % 34.09/34.83 (assume @p31 (forall (@list @t136 @t137 @t135) (=> (and (tptp.earlier @t136 @t137) (tptp.earlier @t137 @t135)) (tptp.earlier @t136 @t135)))) % 34.09/34.83 (assume @p32 (forall (@list @t141 @t140 @t139 @t138) (=> (and (tptp.min_precedes @t141 @t140 @t138) (tptp.min_precedes @t141 @t139 @t138) (tptp.precedes @t140 @t139)) (tptp.min_precedes @t140 @t139 @t138)))) % 34.09/34.83 (assume @p33 @t172) % 34.09/34.83 (assume @p34 (tptp.activity tptp.tptp0)) % 34.09/34.83 (assume @p35 (not (tptp.atomic tptp.tptp0))) % 34.09/34.83 (assume @p36 (tptp.atomic tptp.tptp4)) % 34.09/34.83 (assume @p37 (tptp.atomic tptp.tptp2)) % 34.09/34.83 (assume @p38 (tptp.atomic tptp.tptp1)) % 34.09/34.83 (assume @p39 @t173) % 34.09/34.83 (assume @p40 (not (= tptp.tptp4 tptp.tptp3))) % 34.09/34.83 (assume @p41 (not (= tptp.tptp4 tptp.tptp2))) % 34.09/34.83 (assume @p42 (not (= tptp.tptp4 tptp.tptp1))) % 34.09/34.83 (assume @p43 (not @t174)) % 34.09/34.83 (assume @p44 (not @t175)) % 34.09/34.83 (assume @p45 (not (= tptp.tptp2 tptp.tptp1))) % 34.09/34.83 (assume @p46 @t199) % 34.09/34.83 (assume @p47 true) % 34.09/34.83 (step @p48 :rule aci_norm :args ((= (or (or @t215 @t214 @t213 @t164) @t212) (or @t215 @t214 @t213 @t164 @t212)))) % 34.09/34.83 (step @p49 :rule refl :args (@t212)) % 34.09/34.83 (step @p50 :rule bool-double-not-elim :args (@t164)) % 34.09/34.83 (step @p51 :rule refl :args (@t213)) % 34.09/34.83 (step @p52 :rule refl :args (@t214)) % 34.09/34.83 (step @p53 :rule refl :args (@t215)) % 34.09/34.83 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51 @p50) :args (@t217)) % 34.09/34.83 (step @p55 :rule aci_norm :args ((= (or @t215 (or @t214 (or @t213 @t216))) @t217))) % 34.09/34.83 (step @p56 :rule trans :premises (@p55 @p54)) % 34.09/34.83 (step @p57 :rule bool-and-de-morgan :args (@t166 @t165 true)) % 34.09/34.83 (step @p58 :rule nary_cong :premises (@p52 @p57) :args ((or @t214 (not (and @t166 @t165))))) % 34.09/34.83 (step @p59 :rule bool-and-de-morgan :args (@t167 @t166 (and @t165))) % 34.09/34.83 (step @p60 :rule trans :premises (@p59 @p58)) % 34.09/34.83 (step @p61 :rule nary_cong :premises (@p53 @p60) :args ((or @t215 (not (and @t167 @t166 @t165))))) % 34.09/34.83 (step @p62 :rule bool-and-de-morgan :args (@t168 @t167 (and @t166 @t165))) % 34.09/34.83 (step @p63 :rule trans :premises (@p62 @p61)) % 34.09/34.83 (step @p64 :rule trans :premises (@p63 @p56)) % 34.09/34.83 (step @p65 :rule nary_cong :premises (@p64 @p49) :args ((or (not @t169) @t212))) % 34.09/34.83 (step @p66 :rule trans :premises (@p65 @p48)) % 34.09/34.83 (step @p67 :rule bool-impl-elim :args (@t169 @t212)) % 34.09/34.83 (step @p68 :rule trans :premises (@p67 @p66)) % 34.09/34.83 (step @p69 :rule cong :premises (@p68) :args ((forall @t171 (=> @t169 @t212)))) % 34.09/34.83 (step @p70 :rule refl :args (@t205)) % 34.09/34.83 (step @p71 :rule refl :args (@t206)) % 34.09/34.83 (step @p72 :rule bool-or-de-morgan :args (@t153 @t152 false)) % 34.09/34.83 (step @p73 :rule refl :args (@t208)) % 34.09/34.83 (step @p74 :rule refl :args (@t209)) % 34.09/34.83 (step @p75 :rule refl :args (@t210)) % 34.09/34.83 (step @p76 :rule refl :args (@t211)) % 34.09/34.83 (step @p77 :rule nary_cong :premises (@p76 @p75 @p74 @p73 @p72 @p71 @p70) :args (@t219)) % 34.09/34.83 (step @p78 :rule aci_norm :args ((= (or @t211 (or @t210 (or @t209 (or @t208 (or @t218 (or @t206 @t205)))))) @t219))) % 34.09/34.83 (step @p79 :rule bool-and-de-morgan :args (@t151 @t204 true)) % 34.09/34.83 (step @p80 :rule refl :args (@t218)) % 34.09/34.83 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t218 (not (and @t151 @t204))))) % 34.09/34.83 (step @p82 :rule bool-and-de-morgan :args (@t154 @t151 (and @t204))) % 34.09/34.83 (step @p83 :rule trans :premises (@p82 @p81)) % 34.09/34.83 (step @p84 :rule nary_cong :premises (@p73 @p83) :args ((or @t208 (not (and @t154 @t151 @t204))))) % 34.09/34.83 (step @p85 :rule bool-and-de-morgan :args (@t155 @t154 (and @t151 @t204))) % 34.09/34.83 (step @p86 :rule trans :premises (@p85 @p84)) % 34.09/34.83 (step @p87 :rule nary_cong :premises (@p74 @p86) :args ((or @t209 (not (and @t155 @t154 @t151 @t204))))) % 34.09/34.83 (step @p88 :rule bool-and-de-morgan :args (@t156 @t155 (and @t154 @t151 @t204))) % 34.09/34.83 (step @p89 :rule trans :premises (@p88 @p87)) % 34.09/34.83 (step @p90 :rule nary_cong :premises (@p75 @p89) :args ((or @t210 (not (and @t156 @t155 @t154 @t151 @t204))))) % 34.09/34.83 (step @p91 :rule bool-and-de-morgan :args (@t158 @t156 (and @t155 @t154 @t151 @t204))) % 34.09/34.83 (step @p92 :rule trans :premises (@p91 @p90)) % 34.09/34.83 (step @p93 :rule nary_cong :premises (@p76 @p92) :args ((or @t211 (not (and @t158 @t156 @t155 @t154 @t151 @t204))))) % 34.09/34.83 (step @p94 :rule bool-and-de-morgan :args (@t159 @t158 (and @t156 @t155 @t154 @t151 @t204))) % 34.09/34.83 (step @p95 :rule trans :premises (@p94 @p93)) % 34.09/34.83 (step @p96 :rule trans :premises (@p95 @p78)) % 34.09/34.83 (step @p97 :rule trans :premises (@p96 @p77)) % 34.09/34.83 (step @p98 :rule cong :premises (@p97) :args (@t221)) % 34.09/34.83 (step @p99 :rule cong :premises (@p98) :args (@t222)) % 34.09/34.83 (step @p100 :rule exists-elim :args ((= (exists @t161 @t220) @t222))) % 34.09/34.83 (step @p101 :rule trans :premises (@p100 @p99)) % 34.09/34.83 (step @p102 :rule aci_norm :args ((= (or @t202 @t223) @t203))) % 34.09/34.83 (step @p103 :rule bool-impl-elim :args (@t147 @t223)) % 34.09/34.83 (step @p104 :rule trans :premises (@p103 @p102)) % 34.09/34.83 (step @p105 :rule cong :premises (@p104) :args ((forall @t149 (=> @t147 @t223)))) % 34.09/34.83 (step @p106 :rule eq-symm :args (@t143 @t142)) % 34.09/34.83 (step @p107 :rule eq-symm :args (@t143 @t144)) % 34.09/34.83 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t145)) % 34.09/34.83 (step @p109 :rule refl :args (@t147)) % 34.09/34.83 (step @p110 :rule cong :premises (@p109 @p108) :args (@t148)) % 34.09/34.83 (step @p111 :rule cong :premises (@p110) :args (@t150)) % 34.09/34.83 (step @p112 :rule trans :premises (@p111 @p105)) % 34.09/34.83 (step @p113 :rule refl :args (@t151)) % 34.09/34.83 (step @p114 :rule refl :args (@t154)) % 34.09/34.83 (step @p115 :rule refl :args (@t155)) % 34.09/34.83 (step @p116 :rule refl :args (@t156)) % 34.09/34.83 (step @p117 :rule refl :args (@t158)) % 34.09/34.83 (step @p118 :rule refl :args (@t159)) % 34.09/34.83 (step @p119 :rule nary_cong :premises (@p118 @p117 @p116 @p115 @p114 @p113 @p112) :args (@t160)) % 34.09/34.83 (step @p120 :rule cong :premises (@p119) :args (@t162)) % 34.09/34.83 (step @p121 :rule trans :premises (@p120 @p101)) % 34.09/34.83 (step @p122 :rule refl :args (@t169)) % 34.09/34.83 (step @p123 :rule cong :premises (@p122 @p121) :args (@t170)) % 34.09/34.83 (step @p124 :rule cong :premises (@p123) :args (@t172)) % 34.09/34.83 (step @p125 :rule trans :premises (@p124 @p69)) % 34.09/34.83 (step @p126 :rule eq_resolve :premises (@p33 @p125)) % 34.09/34.83 (step @p127 :rule instantiate :premises (@p126) :args ((@list @t236 @t235))) % 34.09/34.83 (step @p128 :rule aci_norm :args ((= (or (or @t232 @t231 @t230 @t190) @t229) @t233))) % 34.09/34.83 (step @p129 :rule refl :args (@t229)) % 34.09/34.83 (step @p130 :rule bool-double-not-elim :args (@t190)) % 34.09/34.83 (step @p131 :rule refl :args (@t230)) % 34.09/34.83 (step @p132 :rule refl :args (@t231)) % 34.09/34.83 (step @p133 :rule refl :args (@t232)) % 34.09/34.83 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130) :args (@t238)) % 34.09/34.83 (step @p135 :rule aci_norm :args ((= (or @t232 (or @t231 (or @t230 @t237))) @t238))) % 34.09/34.83 (step @p136 :rule trans :premises (@p135 @p134)) % 34.09/34.83 (step @p137 :rule bool-and-de-morgan :args (@t192 @t191 true)) % 34.09/34.83 (step @p138 :rule nary_cong :premises (@p132 @p137) :args ((or @t231 (not (and @t192 @t191))))) % 34.09/34.83 (step @p139 :rule bool-and-de-morgan :args (@t193 @t192 (and @t191))) % 34.09/34.83 (step @p140 :rule trans :premises (@p139 @p138)) % 34.09/34.83 (step @p141 :rule nary_cong :premises (@p133 @p140) :args ((or @t232 (not (and @t193 @t192 @t191))))) % 34.09/34.83 (step @p142 :rule bool-and-de-morgan :args (@t194 @t193 (and @t192 @t191))) % 34.09/34.83 (step @p143 :rule trans :premises (@p142 @p141)) % 34.09/34.83 (step @p144 :rule trans :premises (@p143 @p136)) % 34.09/34.83 (step @p145 :rule nary_cong :premises (@p144 @p129) :args ((or (not @t195) @t229))) % 34.09/34.83 (step @p146 :rule trans :premises (@p145 @p128)) % 34.09/34.83 (step @p147 :rule bool-impl-elim :args (@t195 @t229)) % 34.09/34.83 (step @p148 :rule trans :premises (@p147 @p146)) % 34.09/34.83 (step @p149 :rule cong :premises (@p148) :args ((forall @t197 (=> @t195 @t229)))) % 34.09/34.83 (step @p150 :rule refl :args (@t224)) % 34.09/34.83 (step @p151 :rule refl :args (@t225)) % 34.09/34.83 (step @p152 :rule bool-or-de-morgan :args (@t181 @t180 false)) % 34.09/34.83 (step @p153 :rule refl :args (@t227)) % 34.09/34.83 (step @p154 :rule refl :args (@t228)) % 34.09/34.83 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151 @p150) :args (@t240)) % 34.09/34.83 (step @p156 :rule aci_norm :args ((= (or @t228 (or @t227 (or @t239 (or @t225 @t224)))) @t240))) % 34.09/34.83 (step @p157 :rule bool-and-de-morgan :args (@t179 @t177 true)) % 34.09/34.83 (step @p158 :rule refl :args (@t239)) % 34.09/34.83 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t239 (not (and @t179 @t177))))) % 34.09/34.83 (step @p160 :rule bool-and-de-morgan :args (@t182 @t179 (and @t177))) % 34.09/34.83 (step @p161 :rule trans :premises (@p160 @p159)) % 34.09/34.83 (step @p162 :rule nary_cong :premises (@p153 @p161) :args ((or @t227 (not (and @t182 @t179 @t177))))) % 34.09/34.83 (step @p163 :rule bool-and-de-morgan :args (@t184 @t182 (and @t179 @t177))) % 34.09/34.83 (step @p164 :rule trans :premises (@p163 @p162)) % 34.09/34.83 (step @p165 :rule nary_cong :premises (@p154 @p164) :args ((or @t228 (not (and @t184 @t182 @t179 @t177))))) % 34.09/34.83 (step @p166 :rule bool-and-de-morgan :args (@t185 @t184 (and @t182 @t179 @t177))) % 34.09/34.83 (step @p167 :rule trans :premises (@p166 @p165)) % 34.09/34.83 (step @p168 :rule trans :premises (@p167 @p156)) % 34.09/34.83 (step @p169 :rule trans :premises (@p168 @p155)) % 34.09/34.83 (step @p170 :rule cong :premises (@p169) :args (@t241)) % 34.09/34.83 (step @p171 :rule cong :premises (@p170) :args (@t242)) % 34.09/34.83 (step @p172 :rule exists-elim :args ((= @t188 @t242))) % 34.09/34.83 (step @p173 :rule trans :premises (@p172 @p171)) % 34.09/34.83 (step @p174 :rule refl :args (@t195)) % 34.09/34.83 (step @p175 :rule cong :premises (@p174 @p173) :args (@t196)) % 34.09/34.83 (step @p176 :rule cong :premises (@p175) :args (@t198)) % 34.09/34.83 (step @p177 :rule trans :premises (@p176 @p149)) % 34.09/34.83 (step @p178 :rule cong :premises (@p177) :args (@t199)) % 34.09/34.83 (step @p179 :rule eq_resolve :premises (@p46 @p178)) % 34.09/34.83 (step @p180 :rule skolemize :premises (@p179)) % 34.09/34.83 (step @p181 :rule cnf_or_neg :args (@t250 3)) % 34.09/34.83 (step @p182 :rule chain_m_resolution :premises (@p181 @p180) :args ((not @t243) @t251 @t252)) % 34.09/34.83 (step @p183 :rule bool-double-not-elim :args (@t244)) % 34.09/34.83 (step @p184 :rule refl :args (@t250)) % 34.09/34.83 (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t250 (not @t245)))) % 34.09/34.83 (step @p186 :rule cnf_or_neg :args (@t250 2)) % 34.09/34.83 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 34.09/34.83 (step @p188 :rule reordering :premises (@p187) :args ((or @t244 @t250))) % 34.09/34.83 (step @p189 :rule chain_m_resolution :premises (@p188 @p180) :args (@t244 @t251 @t252)) % 34.09/34.83 (step @p190 :rule bool-double-not-elim :args (@t246)) % 34.09/34.83 (step @p191 :rule nary_cong :premises (@p184 @p190) :args ((or @t250 (not @t247)))) % 34.09/34.83 (step @p192 :rule cnf_or_neg :args (@t250 1)) % 34.09/34.83 (step @p193 :rule eq_resolve :premises (@p192 @p191)) % 34.09/34.83 (step @p194 :rule reordering :premises (@p193) :args ((or @t246 @t250))) % 34.09/34.83 (step @p195 :rule chain_m_resolution :premises (@p194 @p180) :args (@t246 @t251 @t252)) % 34.09/34.83 (step @p196 :rule bool-double-not-elim :args (@t248)) % 34.09/34.83 (step @p197 :rule nary_cong :premises (@p184 @p196) :args ((or @t250 (not @t249)))) % 34.09/34.83 (step @p198 :rule cnf_or_neg :args (@t250 0)) % 34.09/34.83 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 34.09/34.83 (step @p200 :rule reordering :premises (@p199) :args ((or @t248 @t250))) % 34.09/34.83 (step @p201 :rule chain_m_resolution :premises (@p200 @p180) :args (@t248 @t251 @t252)) % 34.09/34.83 (step @p202 :rule cnf_or_pos :args (@t255)) % 34.09/34.83 (step @p203 :rule reordering :premises (@p202) :args ((or @t249 @t247 @t245 @t243 @t254 (not @t255)))) % 34.09/34.83 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p195 @p189 @p182 @p127) :args (@t254 @t256 (@list @t248 @t246 @t244 @t243 @t255))) % 34.09/34.83 (step @p205 :rule refl :args (@t277)) % 34.09/34.83 (step @p206 :rule bool-double-not-elim :args (@t253)) % 34.09/34.83 (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or (not @t254) @t277))) % 34.09/34.83 (step @p208 :rule eq-symm :args (@t257 @t143)) % 34.09/34.83 (step @p209 :rule eq-symm :args (@t258 @t143)) % 34.09/34.83 (step @p210 :rule refl :args (@t260)) % 34.09/34.83 (step @p211 :rule nary_cong :premises (@p210 @p209 @p208) :args (@t278)) % 34.09/34.83 (step @p212 :rule cong :premises (@p211) :args (@t279)) % 34.09/34.83 (step @p213 :rule cong :premises (@p212) :args (@t280)) % 34.09/34.83 (step @p214 :rule refl :args (@t263)) % 34.09/34.83 (step @p215 :rule refl :args (@t268)) % 34.09/34.83 (step @p216 :rule refl :args (@t270)) % 34.09/34.83 (step @p217 :rule refl :args (@t272)) % 34.09/34.83 (step @p218 :rule refl :args (@t273)) % 34.09/34.83 (step @p219 :rule refl :args (@t275)) % 34.09/34.83 (step @p220 :rule nary_cong :premises (@p219 @p218 @p217 @p216 @p215 @p214 @p213) :args (@t281)) % 34.09/34.83 (step @p221 :rule cong :premises (@p220) :args (@t282)) % 34.09/34.83 (step @p222 :rule refl :args (@t254)) % 34.09/34.83 (step @p223 :rule cong :premises (@p222 @p221) :args ((=> @t254 @t282))) % 34.09/34.83 (assume-push @p542 @t254) % 34.09/34.83 (step @p225 :rule skolemize :premises (@p204)) % 34.09/34.83 (step-pop @p543 :rule scope :premises (@p225)) % 34.09/34.83 (step @p226 :rule process_scope :premises (@p543) :args (@t282)) % 34.09/34.83 (step @p228 :rule eq_resolve :premises (@p226 @p223)) % 34.09/34.83 (step @p229 :rule implies_elim :premises (@p228)) % 34.09/34.83 (step @p230 :rule eq_resolve :premises (@p229 @p207)) % 34.09/34.83 (step @p231 :rule chain_m_resolution :premises (@p230 @p204) :args (@t277 @t251 (@list @t253))) % 34.09/34.83 (step @p232 :rule bool-double-not-elim :args (@t261)) % 34.09/34.83 (step @p233 :rule refl :args (@t276)) % 34.09/34.83 (step @p234 :rule nary_cong :premises (@p233 @p232) :args ((or @t276 (not @t262)))) % 34.09/34.83 (step @p235 :rule cnf_or_neg :args (@t276 6)) % 34.09/34.83 (step @p236 :rule eq_resolve :premises (@p235 @p234)) % 34.09/34.83 (step @p237 :rule reordering :premises (@p236) :args ((or @t261 @t276))) % 34.09/34.83 (step @p238 :rule chain_m_resolution :premises (@p237 @p231) :args (@t261 @t251 @t283)) % 34.09/34.83 (step @p239 :rule eq-symm :args (@t285 @t257)) % 34.09/34.83 (step @p240 :rule eq-symm :args (@t285 @t258)) % 34.09/34.83 (step @p241 :rule refl :args (@t287)) % 34.09/34.83 (step @p242 :rule nary_cong :premises (@p241 @p240 @p239) :args (@t288)) % 34.09/34.83 (step @p243 :rule refl :args (@t261)) % 34.09/34.83 (step @p244 :rule cong :premises (@p243 @p242) :args ((=> @t261 @t288))) % 34.09/34.83 (assume-push @p544 @t261) % 34.09/34.83 (step @p246 :rule instantiate :premises (@p238) :args ((@list @t285))) % 34.09/34.83 (step-pop @p545 :rule scope :premises (@p246)) % 34.09/34.83 (step @p247 :rule process_scope :premises (@p545) :args (@t288)) % 34.09/34.83 (step @p249 :rule eq_resolve :premises (@p247 @p244)) % 34.09/34.83 (step @p250 :rule implies_elim :premises (@p249)) % 34.09/34.83 (step @p251 :rule chain_m_resolution :premises (@p250 @p238) :args (@t291 @t292 (@list @t261))) % 34.09/34.83 (step @p252 :rule instantiate :premises (@p126) :args ((@list @t259 @t294))) % 34.09/34.83 (step @p253 :rule quant-merge-prenex :args ((= (forall @t59 @t301) (forall (@list @t54 @t49 @t47 @t295) @t299)))) % 34.09/34.83 (step @p254 :rule alpha_equiv :args (@t302 (@list @t295) (@list @t48))) % 34.09/34.83 (step @p255 :rule refl :args (@t297)) % 34.09/34.83 (step @p256 :rule refl :args (@t298)) % 34.09/34.83 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254) :args (@t303)) % 34.09/34.83 (step 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(assume-push @p563 @t289) % 34.09/34.83 (assume-push @p564 @t367) % 34.09/34.83 (step @p485 :rule evaluate :args ((= false true))) % 34.09/34.83 (step @p486 :rule true_intro :premises (@p562)) % 34.09/34.83 (step @p487 :rule refl :args (tptp.tptp2)) % 34.09/34.83 (step @p488 :rule symm :premises (@p563)) % 34.09/34.83 (step @p489 :rule cong :premises (@p488 @p487) :args (@t366)) % 34.09/34.83 (step @p490 :rule false_intro :premises (@p477)) % 34.09/34.83 (step @p491 :rule symm :premises (@p490)) % 34.09/34.83 (step @p492 :rule trans :premises (@p491 @p489 @p486)) % 34.09/34.83 (step @p493 false :rule eq_resolve :premises (@p492 @p485)) % 34.09/34.83 (step-pop @p565 :rule scope :premises (@p493)) % 34.09/34.83 (step-pop @p566 :rule scope :premises (@p565)) % 34.09/34.83 (step-pop @p567 :rule scope :premises (@p566)) % 34.09/34.83 (step @p494 :rule process_scope :premises (@p567) :args (false)) % 34.09/34.83 (step @p498 :rule not_and :premises (@p494)) % 34.09/34.83 (step @p499 :rule eq_resolve :premises (@p498 @p481)) % 34.09/34.83 (step @p500 :rule chain_m_resolution :premises (@p499 @p471 @p477) :args (@t267 (@list false true) (@list @t289 @t366))) % 34.09/34.83 (step @p501 :rule bool-double-not-elim :args (@t264)) % 34.09/34.83 (step @p502 :rule bool-double-not-elim :args (@t266)) % 34.09/34.83 (step @p503 :rule nary_cong :premises (@p215 @p502 @p501) :args ((or @t268 (not @t267) (not @t265)))) % 34.09/34.83 (step @p504 :rule cnf_and_neg :args (@t268)) % 34.09/34.83 (step @p505 :rule eq_resolve :premises (@p504 @p503)) % 34.09/34.83 (step @p506 :rule reordering :premises (@p505) :args ((or @t266 @t264 @t268))) % 34.09/34.83 (step @p507 :rule chain_m_resolution :premises (@p506 @p500 @p473) :args (@t264 (@list true true) (@list @t266 @t268))) % 34.09/34.83 (step @p508 :rule instantiate :premises (@p398) :args ((@list @t285 tptp.tptp3 tptp.tptp1))) % 34.09/34.83 (step @p509 :rule cnf_or_pos :args (@t372)) % 34.09/34.83 (step @p510 :rule reordering :premises (@p509) :args ((or @t175 @t343 @t371 (not @t372)))) % 34.09/34.83 (step @p511 :rule chain_m_resolution :premises (@p510 @p44 @p389 @p508) :args (@t371 @t358 (@list @t175 @t342 @t372))) % 34.09/34.83 (step @p512 :rule bool-double-not-elim :args (@t370)) % 34.09/34.83 (step @p513 :rule refl :args (@t265)) % 34.09/34.83 (step @p514 :rule nary_cong :premises (@p513 @p479 @p512) :args ((or @t265 @t369 (not @t371)))) % 34.09/34.83 (assume-push @p568 @t371) % 34.09/34.83 (assume-push @p569 @t289) % 34.09/34.83 (assume-push @p570 @t264) % 34.09/34.83 (step @p416 :rule evaluate :args (@t360)) % 34.09/34.83 (step @p518 :rule false_intro :premises (@p511)) % 34.09/34.83 (step @p519 :rule refl :args (tptp.tptp1)) % 34.09/34.83 (step @p520 :rule cong :premises (@p569 @p519) :args (@t264)) % 34.09/34.83 (step @p521 :rule true_intro :premises (@p570)) % 34.09/34.83 (step @p522 :rule symm :premises (@p521)) % 34.09/34.83 (step @p523 :rule trans :premises (@p522 @p520 @p518)) % 34.09/34.83 (step @p524 false :rule eq_resolve :premises (@p523 @p416)) % 34.09/34.83 (step-pop @p571 :rule scope :premises (@p524)) % 34.09/34.83 (step-pop @p572 :rule scope :premises (@p571)) % 34.09/34.83 (step-pop @p573 :rule scope :premises (@p572)) % 34.09/34.83 (step @p525 :rule process_scope :premises (@p573) :args (false)) % 34.09/34.83 (assume-push @p574 @t264) % 34.09/34.83 (assume-push @p575 @t289) % 34.09/34.83 (assume-push @p576 @t371) % 34.09/34.83 (step @p532 :rule and_intro :premises (@p511 @p575 @p574)) % 34.09/34.83 (step-pop @p577 :rule scope :premises (@p532)) % 34.09/34.83 (step-pop @p578 :rule scope :premises (@p577)) % 34.09/34.83 (step-pop @p579 :rule scope :premises (@p578)) % 34.09/34.83 (step @p533 :rule process_scope :premises (@p579) :args (@t373)) % 34.09/34.83 (step @p537 :rule implies_elim :premises (@p533)) % 34.09/34.83 (step @p538 :rule resolution :premises (@p537 @p525) :args (true @t373)) % 34.09/34.83 (step @p539 :rule not_and :premises (@p538)) % 34.09/34.83 (step @p540 :rule eq_resolve :premises (@p539 @p514)) % 34.09/34.83 (step @p541 false :rule chain_m_resolution :premises (@p540 @p511 @p507 @p471) :args (false @t358 (@list @t370 @t264 @t289))) % 34.09/34.83 ) % 34.09/34.83 % SZS output end Proof % 34.09/34.83 % cvc5 exiting %------------------------------------------------------------------------------