%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO004+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 : n025.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:43:40 AM UTC 2026 % Result : Theorem 34.10s 34.52s % Output : Proof 34.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PRO004+2 : 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 % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 13:06:46 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 34.10/34.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.10/34.52 --- Run --no-e-matching --full-saturate-quant at 6... % 34.10/34.52 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.10/34.52 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.10/34.52 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.10/34.52 % SZS status Theorem % 34.10/34.52 % SZS output start Proof % 34.10/34.52 ( % 34.10/34.52 (declare-sort $$unsorted 0) % 34.10/34.52 (declare-const tptp.tptp3 $$unsorted) % 34.10/34.52 (declare-const tptp.tptp2 $$unsorted) % 34.10/34.52 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.tptp1 $$unsorted) % 34.10/34.52 (declare-const tptp.activity (-> $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.atomic (-> $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.tptp4 $$unsorted) % 34.10/34.52 (declare-const tptp.legal (-> $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.tptp0 $$unsorted) % 34.10/34.52 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 34.10/34.52 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 34.10/34.52 (define @t1 () (@var "X3" $$unsorted)) % 34.10/34.52 (define @t2 () (@var "X2" $$unsorted)) % 34.10/34.52 (define @t3 () (@var "X0" $$unsorted)) % 34.10/34.52 (define @t4 () (@var "X1" $$unsorted)) % 34.10/34.52 (define @t5 () (@var "X6" $$unsorted)) % 34.10/34.52 (define @t6 () (@var "X4" $$unsorted)) % 34.10/34.52 (define @t7 () (@var "X5" $$unsorted)) % 34.10/34.52 (define @t8 () (@var "X8" $$unsorted)) % 34.10/34.52 (define @t9 () (@var "X7" $$unsorted)) % 34.10/34.52 (define @t10 () (= @t9 @t8)) % 34.10/34.52 (define @t11 () (@var "X9" $$unsorted)) % 34.10/34.52 (define @t12 () (tptp.root_occ @t8 @t11)) % 34.10/34.52 (define @t13 () (tptp.root_occ @t9 @t11)) % 34.10/34.52 (define @t14 () (@var "X10" $$unsorted)) % 34.10/34.52 (define @t15 () (tptp.occurrence_of @t11 @t14)) % 34.10/34.52 (define @t16 () (and @t15 @t13 @t12)) % 34.10/34.52 (define @t17 () (forall (@list @t9 @t8 @t11 @t14) (=> @t16 @t10))) % 34.10/34.52 (define @t18 () (@var "X12" $$unsorted)) % 34.10/34.52 (define @t19 () (@var "X11" $$unsorted)) % 34.10/34.52 (define @t20 () (= @t19 @t18)) % 34.10/34.52 (define @t21 () (@var "X13" $$unsorted)) % 34.10/34.52 (define @t22 () (tptp.leaf_occ @t18 @t21)) % 34.10/34.52 (define @t23 () (tptp.leaf_occ @t19 @t21)) % 34.10/34.52 (define @t24 () (@var "X14" $$unsorted)) % 34.10/34.52 (define @t25 () (tptp.atomic @t24)) % 34.10/34.52 (define @t26 () (not @t25)) % 34.10/34.52 (define @t27 () (tptp.occurrence_of @t21 @t24)) % 34.10/34.52 (define @t28 () (and @t27 @t26 @t23 @t22)) % 34.10/34.52 (define @t29 () (forall (@list @t19 @t18 @t21 @t24) (=> @t28 @t20))) % 34.10/34.52 (define @t30 () (@var "X17" $$unsorted)) % 34.10/34.52 (define @t31 () (@var "X16" $$unsorted)) % 34.10/34.52 (define @t32 () (@var "X18" $$unsorted)) % 34.10/34.52 (define @t33 () (tptp.min_precedes @t32 @t31 @t30)) % 34.10/34.52 (define @t34 () (@var "X15" $$unsorted)) % 34.10/34.52 (define @t35 () (tptp.min_precedes @t34 @t32 @t30)) % 34.10/34.52 (define @t36 () (and @t35 @t33)) % 34.10/34.52 (define @t37 () (@list @t32)) % 34.10/34.52 (define @t38 () (exists @t37 @t36)) % 34.10/34.52 (define @t39 () (not @t38)) % 34.10/34.52 (define @t40 () (tptp.min_precedes @t34 @t31 @t30)) % 34.10/34.52 (define @t41 () (and @t40 @t39)) % 34.10/34.52 (define @t42 () (tptp.next_subocc @t34 @t31 @t30)) % 34.10/34.52 (define @t43 () (= @t42 @t41)) % 34.10/34.52 (define @t44 () (forall (@list @t34 @t31 @t30) @t43)) % 34.10/34.52 (define @t45 () (@var "X20" $$unsorted)) % 34.10/34.52 (define @t46 () (@var "X19" $$unsorted)) % 34.10/34.52 (define @t47 () (and (tptp.arboreal @t46) (tptp.arboreal @t45))) % 34.10/34.52 (define @t48 () (@var "X21" $$unsorted)) % 34.10/34.52 (define @t49 () (tptp.next_subocc @t46 @t45 @t48)) % 34.10/34.52 (define @t50 () (forall (@list @t46 @t45 @t48) (=> @t49 @t47))) % 34.10/34.52 (define @t51 () (@var "X23" $$unsorted)) % 34.10/34.52 (define @t52 () (@var "X22" $$unsorted)) % 34.10/34.52 (define @t53 () (@var "X24" $$unsorted)) % 34.10/34.52 (define @t54 () (@var "X27" $$unsorted)) % 34.10/34.52 (define @t55 () (@var "X26" $$unsorted)) % 34.10/34.52 (define @t56 () (not (tptp.root @t55 @t54))) % 34.10/34.52 (define @t57 () (@var "X25" $$unsorted)) % 34.10/34.52 (define @t58 () (tptp.min_precedes @t57 @t55 @t54)) % 34.10/34.52 (define @t59 () (forall (@list @t57 @t55 @t54) (=> @t58 @t56))) % 34.10/34.52 (define @t60 () (@var "X29" $$unsorted)) % 34.10/34.52 (define @t61 () (@var "X28" $$unsorted)) % 34.10/34.52 (define @t62 () (@var "X30" $$unsorted)) % 34.10/34.52 (define @t63 () (@var "X31" $$unsorted)) % 34.10/34.52 (define @t64 () (@var "X34" $$unsorted)) % 34.10/34.52 (define @t65 () (@var "X32" $$unsorted)) % 34.10/34.52 (define @t66 () (@var "X33" $$unsorted)) % 34.10/34.52 (define @t67 () (@var "X37" $$unsorted)) % 34.10/34.52 (define @t68 () (@var "X35" $$unsorted)) % 34.10/34.52 (define @t69 () (@var "X36" $$unsorted)) % 34.10/34.52 (define @t70 () (@var "X38" $$unsorted)) % 34.10/34.52 (define @t71 () (@var "X39" $$unsorted)) % 34.10/34.52 (define @t72 () (@var "X41" $$unsorted)) % 34.10/34.52 (define @t73 () (@var "X40" $$unsorted)) % 34.10/34.52 (define @t74 () (= (tptp.arboreal @t73) (tptp.atomic @t72))) % 34.10/34.52 (define @t75 () (tptp.occurrence_of @t73 @t72)) % 34.10/34.52 (define @t76 () (@list @t73 @t72)) % 34.10/34.52 (define @t77 () (forall @t76 (=> @t75 @t74))) % 34.10/34.52 (define @t78 () (@var "X43" $$unsorted)) % 34.10/34.52 (define @t79 () (@var "X45" $$unsorted)) % 34.10/34.52 (define @t80 () (@var "X42" $$unsorted)) % 34.10/34.52 (define @t81 () (@var "X44" $$unsorted)) % 34.10/34.52 (define @t82 () (@var "X48" $$unsorted)) % 34.10/34.52 (define @t83 () (@var "X46" $$unsorted)) % 34.10/34.52 (define @t84 () (tptp.occurrence_of @t83 @t82)) % 34.10/34.52 (define @t85 () (tptp.atomic @t82)) % 34.10/34.52 (define @t86 () (@var "X47" $$unsorted)) % 34.10/34.52 (define @t87 () (tptp.subactivity @t86 @t82)) % 34.10/34.52 (define @t88 () (and @t87 @t85 @t84)) % 34.10/34.52 (define @t89 () (@list @t82)) % 34.10/34.52 (define @t90 () (exists @t89 @t88)) % 34.10/34.52 (define @t91 () (tptp.atocc @t83 @t86)) % 34.10/34.52 (define @t92 () (= @t91 @t90)) % 34.10/34.52 (define @t93 () (forall (@list @t83 @t86) @t92)) % 34.10/34.52 (define @t94 () (@var "X50" $$unsorted)) % 34.10/34.52 (define @t95 () (@var "X49" $$unsorted)) % 34.10/34.52 (define @t96 () (@var "X51" $$unsorted)) % 34.10/34.52 (define @t97 () (@var "X53" $$unsorted)) % 34.10/34.52 (define @t98 () (@var "X52" $$unsorted)) % 34.10/34.52 (define @t99 () (@var "X55" $$unsorted)) % 34.10/34.52 (define @t100 () (@var "X54" $$unsorted)) % 34.10/34.52 (define @t101 () (@var "X58" $$unsorted)) % 34.10/34.52 (define @t102 () (@var "X57" $$unsorted)) % 34.10/34.52 (define @t103 () (@var "X59" $$unsorted)) % 34.10/34.52 (define @t104 () (tptp.min_precedes @t103 @t102 @t101)) % 34.10/34.52 (define @t105 () (@list @t103)) % 34.10/34.52 (define @t106 () (exists @t105 @t104)) % 34.10/34.52 (define @t107 () (not @t106)) % 34.10/34.52 (define @t108 () (@var "X56" $$unsorted)) % 34.10/34.52 (define @t109 () (tptp.root_occ @t102 @t108)) % 34.10/34.52 (define @t110 () (tptp.occurrence_of @t108 @t101)) % 34.10/34.52 (define @t111 () (and @t110 @t109)) % 34.10/34.52 (define @t112 () (=> @t111 @t107)) % 34.10/34.52 (define @t113 () (@list @t108 @t102 @t101)) % 34.10/34.52 (define @t114 () (forall @t113 @t112)) % 34.10/34.52 (define @t115 () (@var "X62" $$unsorted)) % 34.10/34.52 (define @t116 () (@var "X63" $$unsorted)) % 34.10/34.52 (define @t117 () (@var "X61" $$unsorted)) % 34.10/34.52 (define @t118 () (@var "X60" $$unsorted)) % 34.10/34.52 (define @t119 () (@var "X66" $$unsorted)) % 34.10/34.52 (define @t120 () (@var "X65" $$unsorted)) % 34.10/34.52 (define @t121 () (= @t120 @t119)) % 34.10/34.52 (define @t122 () (@var "X64" $$unsorted)) % 34.10/34.52 (define @t123 () (tptp.occurrence_of @t122 @t119)) % 34.10/34.52 (define @t124 () (tptp.occurrence_of @t122 @t120)) % 34.10/34.52 (define @t125 () (and @t124 @t123)) % 34.10/34.52 (define @t126 () (forall (@list @t122 @t120 @t119) (=> @t125 @t121))) % 34.10/34.52 (define @t127 () (@var "X69" $$unsorted)) % 34.10/34.52 (define @t128 () (@var "X67" $$unsorted)) % 34.10/34.52 (define @t129 () (@var "X68" $$unsorted)) % 34.10/34.52 (define @t130 () (@var "X73" $$unsorted)) % 34.10/34.52 (define @t131 () (@var "X72" $$unsorted)) % 34.10/34.52 (define @t132 () (tptp.subactivity_occurrence @t131 @t130)) % 34.10/34.52 (define @t133 () (@var "X71" $$unsorted)) % 34.10/34.52 (define @t134 () (tptp.subactivity_occurrence @t133 @t130)) % 34.10/34.52 (define @t135 () (@var "X70" $$unsorted)) % 34.10/34.52 (define @t136 () (tptp.occurrence_of @t130 @t135)) % 34.10/34.52 (define @t137 () (and @t136 @t134 @t132)) % 34.10/34.52 (define @t138 () (@list @t130)) % 34.10/34.52 (define @t139 () (exists @t138 @t137)) % 34.10/34.52 (define @t140 () (tptp.min_precedes @t133 @t131 @t135)) % 34.10/34.52 (define @t141 () (=> @t140 @t139)) % 34.10/34.52 (define @t142 () (@list @t135 @t133 @t131)) % 34.10/34.52 (define @t143 () (forall @t142 @t141)) % 34.10/34.52 (define @t144 () (@var "X76" $$unsorted)) % 34.10/34.52 (define @t145 () (@var "X74" $$unsorted)) % 34.10/34.52 (define @t146 () (@var "X75" $$unsorted)) % 34.10/34.52 (define @t147 () (@var "X81" $$unsorted)) % 34.10/34.52 (define @t148 () (@var "X79" $$unsorted)) % 34.10/34.52 (define @t149 () (@var "X80" $$unsorted)) % 34.10/34.52 (define @t150 () (@var "X78" $$unsorted)) % 34.10/34.52 (define @t151 () (@var "X77" $$unsorted)) % 34.10/34.52 (define @t152 () (@var "X84" $$unsorted)) % 34.10/34.52 (define @t153 () (@var "X83" $$unsorted)) % 34.10/34.52 (define @t154 () (tptp.atocc @t153 @t152)) % 34.10/34.52 (define @t155 () (@var "X82" $$unsorted)) % 34.10/34.52 (define @t156 () (tptp.subactivity @t152 @t155)) % 34.10/34.52 (define @t157 () (and @t156 @t154)) % 34.10/34.52 (define @t158 () (@list @t152)) % 34.10/34.52 (define @t159 () (exists @t158 @t157)) % 34.10/34.52 (define @t160 () (tptp.root @t153 @t155)) % 34.10/34.52 (define @t161 () (=> @t160 @t159)) % 34.10/34.52 (define @t162 () (@list @t155 @t153)) % 34.10/34.52 (define @t163 () (forall @t162 @t161)) % 34.10/34.52 (define @t164 () (@var "X88" $$unsorted)) % 34.10/34.52 (define @t165 () (@var "X87" $$unsorted)) % 34.10/34.52 (define @t166 () (@var "X85" $$unsorted)) % 34.10/34.52 (define @t167 () (@var "X86" $$unsorted)) % 34.10/34.52 (define @t168 () (@var "X90" $$unsorted)) % 34.10/34.52 (define @t169 () (@var "X89" $$unsorted)) % 34.10/34.52 (define @t170 () (@var "X92" $$unsorted)) % 34.10/34.52 (define @t171 () (@var "X93" $$unsorted)) % 34.10/34.52 (define @t172 () (tptp.subactivity_occurrence @t171 @t170)) % 34.10/34.52 (define @t173 () (@var "X91" $$unsorted)) % 34.10/34.52 (define @t174 () (tptp.root @t171 @t173)) % 34.10/34.52 (define @t175 () (and @t174 @t172)) % 34.10/34.52 (define @t176 () (@list @t171)) % 34.10/34.52 (define @t177 () (exists @t176 @t175)) % 34.10/34.52 (define @t178 () (tptp.atomic @t173)) % 34.10/34.52 (define @t179 () (not @t178)) % 34.10/34.52 (define @t180 () (tptp.occurrence_of @t170 @t173)) % 34.10/34.52 (define @t181 () (and @t180 @t179)) % 34.10/34.52 (define @t182 () (=> @t181 @t177)) % 34.10/34.52 (define @t183 () (@list @t173 @t170)) % 34.10/34.52 (define @t184 () (forall @t183 @t182)) % 34.10/34.52 (define @t185 () (@var "X94" $$unsorted)) % 34.10/34.52 (define @t186 () (@var "X97" $$unsorted)) % 34.10/34.52 (define @t187 () (@var "X96" $$unsorted)) % 34.10/34.52 (define @t188 () (tptp.next_subocc @t187 @t186 tptp.tptp0)) % 34.10/34.52 (define @t189 () (@var "X95" $$unsorted)) % 34.10/34.52 (define @t190 () (tptp.leaf_occ @t186 @t189)) % 34.10/34.52 (define @t191 () (tptp.occurrence_of @t186 tptp.tptp3)) % 34.10/34.52 (define @t192 () (tptp.root_occ @t187 @t189)) % 34.10/34.52 (define @t193 () (tptp.occurrence_of @t187 tptp.tptp4)) % 34.10/34.52 (define @t194 () (and @t193 @t192 @t191 @t190 @t188)) % 34.10/34.52 (define @t195 () (@list @t187 @t186)) % 34.10/34.52 (define @t196 () (exists @t195 @t194)) % 34.10/34.52 (define @t197 () (tptp.occurrence_of @t189 tptp.tptp0)) % 34.10/34.52 (define @t198 () (=> @t197 @t196)) % 34.10/34.52 (define @t199 () (@list @t189)) % 34.10/34.52 (define @t200 () (forall @t199 @t198)) % 34.10/34.52 (define @t201 () (tptp.atomic tptp.tptp0)) % 34.10/34.52 (define @t202 () (tptp.atomic tptp.tptp1)) % 34.10/34.52 (define @t203 () (= tptp.tptp4 tptp.tptp3)) % 34.10/34.52 (define @t204 () (@var "X99" $$unsorted)) % 34.10/34.52 (define @t205 () (@var "X98" $$unsorted)) % 34.10/34.52 (define @t206 () (tptp.root_occ @t205 @t204)) % 34.10/34.52 (define @t207 () (tptp.leaf_occ @t205 @t204)) % 34.10/34.52 (define @t208 () (not @t207)) % 34.10/34.52 (define @t209 () (tptp.arboreal @t205)) % 34.10/34.52 (define @t210 () (tptp.subactivity_occurrence @t205 @t204)) % 34.10/34.52 (define @t211 () (tptp.occurrence_of @t204 tptp.tptp0)) % 34.10/34.52 (define @t212 () (and @t211 @t210 @t209 @t208)) % 34.10/34.52 (define @t213 () (forall (@list @t205 @t204) (=> @t212 @t206))) % 34.10/34.52 (define @t214 () (@var "X101" $$unsorted)) % 34.10/34.52 (define @t215 () (@var "X100" $$unsorted)) % 34.10/34.52 (define @t216 () (@var "X104" $$unsorted)) % 34.10/34.52 (define @t217 () (@var "X102" $$unsorted)) % 34.10/34.52 (define @t218 () (tptp.next_subocc @t217 @t216 tptp.tptp0)) % 34.10/34.52 (define @t219 () (tptp.occurrence_of @t216 tptp.tptp1)) % 34.10/34.52 (define @t220 () (and @t219 @t218)) % 34.10/34.52 (define @t221 () (@list @t216)) % 34.10/34.52 (define @t222 () (exists @t221 @t220)) % 34.10/34.52 (define @t223 () (@var "X103" $$unsorted)) % 34.10/34.52 (define @t224 () (tptp.leaf_occ @t217 @t223)) % 34.10/34.52 (define @t225 () (not @t224)) % 34.10/34.52 (define @t226 () (tptp.arboreal @t217)) % 34.10/34.52 (define @t227 () (tptp.subactivity_occurrence @t217 @t223)) % 34.10/34.52 (define @t228 () (tptp.occurrence_of @t223 tptp.tptp0)) % 34.10/34.52 (define @t229 () (and @t228 @t227 @t226 @t225)) % 34.10/34.52 (define @t230 () (=> @t229 @t222)) % 34.10/34.52 (define @t231 () (@list @t217 @t223)) % 34.10/34.52 (define @t232 () (forall @t231 @t230)) % 34.10/34.52 (define @t233 () (@var "X105" $$unsorted)) % 34.10/34.52 (define @t234 () (tptp.occurrence_of @t233 tptp.tptp0)) % 34.10/34.52 (define @t235 () (@list @t233)) % 34.10/34.52 (define @t236 () (exists @t235 @t234)) % 34.10/34.52 (define @t237 () (not @t84)) % 34.10/34.52 (define @t238 () (not @t85)) % 34.10/34.52 (define @t239 () (not @t87)) % 34.10/34.52 (define @t240 () (forall @t89 (not @t88))) % 34.10/34.52 (define @t241 () (not @t240)) % 34.10/34.52 (define @t242 () (forall @t235 (not @t234))) % 34.10/34.52 (define @t243 () (@quantifiers_skolemize @t242 0)) % 34.10/34.52 (define @t244 () (forall @t176 (or (not (tptp.root @t171 tptp.tptp0)) (not (tptp.subactivity_occurrence @t171 @t243))))) % 34.10/34.52 (define @t245 () (@quantifiers_skolemize @t244 0)) % 34.10/34.52 (define @t246 () (forall @t158 (or (not (tptp.subactivity @t152 tptp.tptp0)) (not (tptp.atocc @t245 @t152))))) % 34.10/34.52 (define @t247 () (@quantifiers_skolemize @t246 0)) % 34.10/34.52 (define @t248 () (not (forall @t158 (or (not @t156) (not @t154))))) % 34.10/34.52 (define @t249 () (forall @t158 (not @t157))) % 34.10/34.52 (define @t250 () (not @t249)) % 34.10/34.52 (define @t251 () (not (forall @t176 (or (not @t174) (not @t172))))) % 34.10/34.52 (define @t252 () (not @t180)) % 34.10/34.52 (define @t253 () (forall @t176 (not @t175))) % 34.10/34.52 (define @t254 () (not @t253)) % 34.10/34.52 (define @t255 () (not @t242)) % 34.10/34.52 (define @t256 () (tptp.occurrence_of @t243 tptp.tptp0)) % 34.10/34.52 (define @t257 () (not @t256)) % 34.10/34.52 (define @t258 () (not @t257)) % 34.10/34.52 (define @t259 () (@list true)) % 34.10/34.52 (define @t260 () (not @t244)) % 34.10/34.52 (define @t261 () (or @t257 @t201 @t260)) % 34.10/34.52 (define @t262 () (@list true false false)) % 34.10/34.52 (define @t263 () (tptp.root @t245 tptp.tptp0)) % 34.10/34.52 (define @t264 () (tptp.subactivity_occurrence @t245 @t243)) % 34.10/34.52 (define @t265 () (not @t264)) % 34.10/34.52 (define @t266 () (not @t263)) % 34.10/34.52 (define @t267 () (or @t266 @t265)) % 34.10/34.52 (define @t268 () (@list @t267)) % 34.10/34.52 (define @t269 () (not @t246)) % 34.10/34.52 (define @t270 () (or @t266 @t269)) % 34.10/34.52 (define @t271 () (@list false false)) % 34.10/34.52 (define @t272 () (tptp.atocc @t245 @t247)) % 34.10/34.52 (define @t273 () (not @t272)) % 34.10/34.52 (define @t274 () (or (not (tptp.subactivity @t247 tptp.tptp0)) @t273)) % 34.10/34.52 (define @t275 () (forall @t89 (or (not (tptp.subactivity @t247 @t82)) @t238 (not (tptp.occurrence_of @t245 @t82))))) % 34.10/34.52 (define @t276 () (not @t275)) % 34.10/34.52 (define @t277 () (= @t272 @t276)) % 34.10/34.52 (define @t278 () (@quantifiers_skolemize @t275 0)) % 34.10/34.52 (define @t279 () (tptp.occurrence_of @t245 @t278)) % 34.10/34.52 (define @t280 () (not @t279)) % 34.10/34.52 (define @t281 () (tptp.atomic @t278)) % 34.10/34.52 (define @t282 () (not @t281)) % 34.10/34.52 (define @t283 () (or (not (tptp.subactivity @t247 @t278)) @t282 @t280)) % 34.10/34.52 (define @t284 () (@list @t283)) % 34.10/34.52 (define @t285 () (not @t209)) % 34.10/34.52 (define @t286 () (not @t210)) % 34.10/34.52 (define @t287 () (not @t211)) % 34.10/34.52 (define @t288 () (not @t208)) % 34.10/34.52 (define @t289 () (or @t287 @t286 @t285 @t288)) % 34.10/34.52 (define @t290 () (@list @t245 @t243)) % 34.10/34.52 (define @t291 () (not @t22)) % 34.10/34.52 (define @t292 () (not @t23)) % 34.10/34.52 (define @t293 () (not @t27)) % 34.10/34.52 (define @t294 () (not @t26)) % 34.10/34.52 (define @t295 () (or @t293 @t294 @t292 @t291)) % 34.10/34.52 (define @t296 () (not @t188)) % 34.10/34.52 (define @t297 () (not @t191)) % 34.10/34.52 (define @t298 () (not @t193)) % 34.10/34.52 (define @t299 () (forall @t195 (or @t298 (not (tptp.root_occ @t187 @t243)) @t297 (not (tptp.leaf_occ @t186 @t243)) @t296))) % 34.10/34.52 (define @t300 () (@quantifiers_skolemize @t299 1)) % 34.10/34.52 (define @t301 () (@quantifiers_skolemize @t299 0)) % 34.10/34.52 (define @t302 () (@list @t301 @t300 tptp.tptp0)) % 34.10/34.52 (define @t303 () (forall @t37 (not @t36))) % 34.10/34.52 (define @t304 () (not @t303)) % 34.10/34.52 (define @t305 () (not @t190)) % 34.10/34.52 (define @t306 () (not @t192)) % 34.10/34.52 (define @t307 () (or @t298 @t306 @t297 @t305 @t296)) % 34.10/34.52 (define @t308 () (not (forall @t195 @t307))) % 34.10/34.52 (define @t309 () (forall @t195 (not @t194))) % 34.10/34.52 (define @t310 () (not @t309)) % 34.10/34.52 (define @t311 () (not @t299)) % 34.10/34.52 (define @t312 () (or @t257 @t311)) % 34.10/34.52 (define @t313 () (tptp.next_subocc @t301 @t300 tptp.tptp0)) % 34.10/34.52 (define @t314 () (not @t313)) % 34.10/34.52 (define @t315 () (tptp.leaf_occ @t300 @t243)) % 34.10/34.52 (define @t316 () (not @t315)) % 34.10/34.52 (define @t317 () (tptp.occurrence_of @t300 tptp.tptp3)) % 34.10/34.52 (define @t318 () (not @t317)) % 34.10/34.52 (define @t319 () (tptp.root_occ @t301 @t243)) % 34.10/34.52 (define @t320 () (not @t319)) % 34.10/34.52 (define @t321 () (tptp.occurrence_of @t301 tptp.tptp4)) % 34.10/34.52 (define @t322 () (not @t321)) % 34.10/34.52 (define @t323 () (or @t322 @t320 @t318 @t316 @t314)) % 34.10/34.52 (define @t324 () (@list @t323)) % 34.10/34.52 (define @t325 () (tptp.min_precedes @t301 @t300 tptp.tptp0)) % 34.10/34.52 (define @t326 () (and @t325 (forall @t37 (or (not (tptp.min_precedes @t301 @t32 tptp.tptp0)) (not (tptp.min_precedes @t32 @t300 tptp.tptp0)))))) % 34.10/34.52 (define @t327 () (= @t313 @t326)) % 34.10/34.52 (define @t328 () (@list false)) % 34.10/34.52 (define @t329 () (tptp.root @t300 tptp.tptp0)) % 34.10/34.52 (define @t330 () (not @t329)) % 34.10/34.52 (define @t331 () (not @t325)) % 34.10/34.52 (define @t332 () (or @t331 @t330)) % 34.10/34.52 (define @t333 () (= @t245 @t300)) % 34.10/34.52 (define @t334 () (not @t333)) % 34.10/34.52 (define @t335 () (= true false)) % 34.10/34.52 (define @t336 () (and @t330 @t333 @t263)) % 34.10/34.52 (define @t337 () (tptp.leaf_occ @t245 @t243)) % 34.10/34.52 (define @t338 () (not @t337)) % 34.10/34.52 (define @t339 () (or @t257 @t201 @t338 @t316 @t333)) % 34.10/34.52 (define @t340 () (not @t12)) % 34.10/34.52 (define @t341 () (not @t13)) % 34.10/34.52 (define @t342 () (not @t15)) % 34.10/34.52 (define @t343 () (or @t342 @t341 @t340)) % 34.10/34.52 (define @t344 () (not @t123)) % 34.10/34.52 (define @t345 () (not @t124)) % 34.10/34.52 (define @t346 () (tptp.occurrence_of @t301 tptp.tptp3)) % 34.10/34.52 (define @t347 () (not @t346)) % 34.10/34.52 (define @t348 () (or @t322 @t347 @t203)) % 34.10/34.52 (define @t349 () (= @t245 @t301)) % 34.10/34.52 (define @t350 () (not @t349)) % 34.10/34.52 (define @t351 () (and @t347 @t349 @t333 @t317)) % 34.10/34.52 (define @t352 () (not @t219)) % 34.10/34.52 (define @t353 () (not (forall @t221 (or @t352 (not @t218))))) % 34.10/34.52 (define @t354 () (not @t226)) % 34.10/34.52 (define @t355 () (not @t227)) % 34.10/34.52 (define @t356 () (not @t228)) % 34.10/34.52 (define @t357 () (not @t225)) % 34.10/34.52 (define @t358 () (or @t356 @t355 @t354 @t357)) % 34.10/34.52 (define @t359 () (forall @t221 (not @t220))) % 34.10/34.52 (define @t360 () (not @t359)) % 34.10/34.52 (define @t361 () (forall @t221 (or @t352 (not (tptp.next_subocc @t245 @t216 tptp.tptp0))))) % 34.10/34.52 (define @t362 () (@quantifiers_skolemize @t361 0)) % 34.10/34.52 (define @t363 () (tptp.occurrence_of @t362 tptp.tptp1)) % 34.10/34.52 (define @t364 () (tptp.next_subocc @t245 @t362 tptp.tptp0)) % 34.10/34.52 (define @t365 () (not @t364)) % 34.10/34.52 (define @t366 () (not @t363)) % 34.10/34.52 (define @t367 () (or @t366 @t365)) % 34.10/34.52 (define @t368 () (tptp.arboreal @t362)) % 34.10/34.52 (define @t369 () (or @t366 (= @t368 @t202))) % 34.10/34.52 (define @t370 () (forall @t76 (or (not @t75) @t74))) % 34.10/34.52 (define @t371 () (= @t202 @t368)) % 34.10/34.52 (define @t372 () (or @t366 @t371)) % 34.10/34.52 (define @t373 () (tptp.min_precedes @t245 @t362 tptp.tptp0)) % 34.10/34.52 (define @t374 () (and @t373 (forall @t37 (or (not (tptp.min_precedes @t245 @t32 tptp.tptp0)) (not (tptp.min_precedes @t32 @t362 tptp.tptp0)))))) % 34.10/34.52 (define @t375 () (= @t364 @t374)) % 34.10/34.52 (define @t376 () (not @t132)) % 34.10/34.52 (define @t377 () (not @t134)) % 34.10/34.52 (define @t378 () (not @t136)) % 34.10/34.52 (define @t379 () (or @t378 @t377 @t376)) % 34.10/34.52 (define @t380 () (not (forall @t138 @t379))) % 34.10/34.52 (define @t381 () (forall @t138 (not @t137))) % 34.10/34.52 (define @t382 () (not @t381)) % 34.10/34.52 (define @t383 () (forall @t138 (or (not (tptp.occurrence_of @t130 tptp.tptp0)) (not (tptp.subactivity_occurrence @t245 @t130)) (not (tptp.subactivity_occurrence @t362 @t130))))) % 34.10/34.52 (define @t384 () (not @t383)) % 34.10/34.52 (define @t385 () (not @t373)) % 34.10/34.52 (define @t386 () (or @t385 @t384)) % 34.10/34.52 (define @t387 () (@quantifiers_skolemize @t383 0)) % 34.10/34.52 (define @t388 () (tptp.subactivity_occurrence @t362 @t387)) % 34.10/34.52 (define @t389 () (not @t388)) % 34.10/34.52 (define @t390 () (tptp.occurrence_of @t387 tptp.tptp0)) % 34.10/34.52 (define @t391 () (not @t390)) % 34.10/34.52 (define @t392 () (or @t391 (not (tptp.subactivity_occurrence @t245 @t387)) @t389)) % 34.10/34.52 (define @t393 () (not @t392)) % 34.10/34.52 (define @t394 () (forall @t195 (or @t298 (not (tptp.root_occ @t187 @t387)) @t297 (not (tptp.leaf_occ @t186 @t387)) @t296))) % 34.10/34.52 (define @t395 () (not @t394)) % 34.10/34.52 (define @t396 () (or @t391 @t395)) % 34.10/34.52 (define @t397 () (@var "BOUND_VARIABLE_8055" $$unsorted)) % 34.10/34.52 (define @t398 () (not (tptp.min_precedes @t397 @t102 @t101))) % 34.10/34.52 (define @t399 () (not @t109)) % 34.10/34.52 (define @t400 () (not @t110)) % 34.10/34.52 (define @t401 () (or @t400 @t399 @t398)) % 34.10/34.52 (define @t402 () (@list @t397)) % 34.10/34.52 (define @t403 () (forall @t402 @t401)) % 34.10/34.52 (define @t404 () (forall @t402 @t398)) % 34.10/34.52 (define @t405 () (or @t400 @t399 @t404)) % 34.10/34.52 (define @t406 () (forall @t105 (not @t104))) % 34.10/34.52 (define @t407 () (or @t400 @t399 @t406)) % 34.10/34.52 (define @t408 () (tptp.root_occ @t362 @t387)) % 34.10/34.52 (define @t409 () (not @t408)) % 34.10/34.52 (define @t410 () (or @t391 @t409 @t385)) % 34.10/34.52 (define @t411 () (@quantifiers_skolemize @t394 1)) % 34.10/34.52 (define @t412 () (@quantifiers_skolemize @t394 0)) % 34.10/34.52 (define @t413 () (tptp.leaf_occ @t411 @t387)) % 34.10/34.52 (define @t414 () (not @t413)) % 34.10/34.52 (define @t415 () (tptp.occurrence_of @t411 tptp.tptp3)) % 34.10/34.52 (define @t416 () (not @t415)) % 34.10/34.52 (define @t417 () (or (not (tptp.occurrence_of @t412 tptp.tptp4)) (not (tptp.root_occ @t412 @t387)) @t416 @t414 (not (tptp.next_subocc @t412 @t411 tptp.tptp0)))) % 34.10/34.52 (define @t418 () (not @t417)) % 34.10/34.52 (define @t419 () (tptp.leaf_occ @t362 @t387)) % 34.10/34.52 (define @t420 () (not @t368)) % 34.10/34.52 (define @t421 () (or @t391 @t389 @t420 @t419 @t408)) % 34.10/34.52 (define @t422 () (= tptp.tptp3 tptp.tptp1)) % 34.10/34.52 (define @t423 () (tptp.occurrence_of @t411 tptp.tptp1)) % 34.10/34.52 (define @t424 () (not @t423)) % 34.10/34.52 (define @t425 () (or @t416 @t424 @t422)) % 34.10/34.52 (define @t426 () (= @t362 @t411)) % 34.10/34.52 (define @t427 () (not @t419)) % 34.10/34.52 (define @t428 () (or @t391 @t201 @t427 @t414 @t426)) % 34.10/34.52 (define @t429 () (not @t426)) % 34.10/34.52 (define @t430 () (not @t367)) % 34.10/34.52 (define @t431 () (not @t361)) % 34.10/34.52 (define @t432 () (tptp.arboreal @t245)) % 34.10/34.52 (define @t433 () (not @t432)) % 34.10/34.52 (define @t434 () (or @t257 @t265 @t433 @t337 @t431)) % 34.10/34.52 (define @t435 () (tptp.arboreal @t301)) % 34.10/34.52 (define @t436 () (and @t435 (tptp.arboreal @t300))) % 34.10/34.52 (define @t437 () (or @t314 @t436)) % 34.10/34.52 (define @t438 () (and @t435 @t349)) % 34.10/34.52 (define @t439 () (tptp.root_occ @t245 @t243)) % 34.10/34.52 (define @t440 () (not @t439)) % 34.10/34.52 (define @t441 () (or @t257 @t440 @t320 @t349)) % 34.10/34.52 (define @t442 () (or @t257 @t265 @t433 @t337 @t439)) % 34.10/34.52 (define @t443 () (= @t432 @t281)) % 34.10/34.52 (define @t444 () (not @t443)) % 34.10/34.52 (define @t445 () (or @t280 @t443)) % 34.10/34.52 (assume @p1 (forall (@list @t3 @t4 @t2 @t1) (=> (and (tptp.min_precedes @t3 @t4 @t1) (tptp.min_precedes @t4 @t2 @t1)) (tptp.min_precedes @t3 @t2 @t1)))) % 34.10/34.52 (assume @p2 (forall (@list @t6 @t7 @t5) (=> (and (tptp.earlier @t6 @t7) (tptp.earlier @t7 @t5)) (tptp.earlier @t6 @t5)))) % 34.10/34.52 (assume @p3 @t17) % 34.10/34.52 (assume @p4 @t29) % 34.10/34.52 (assume @p5 @t44) % 34.10/34.52 (assume @p6 @t50) % 34.10/34.52 (assume @p7 (forall (@list @t52 @t51 @t53) (=> (tptp.min_precedes @t52 @t51 @t53) (tptp.precedes @t52 @t51)))) % 34.10/34.52 (assume @p8 @t59) % 34.10/34.52 (assume @p9 (forall (@list @t61 @t60) (= (tptp.precedes @t61 @t60) (and (tptp.earlier @t61 @t60) (tptp.legal @t60))))) % 34.10/34.52 (assume @p10 (forall (@list @t62 @t63) (=> (tptp.earlier @t62 @t63) (not (tptp.earlier @t63 @t62))))) % 34.10/34.52 (assume @p11 (forall (@list @t65 @t66) (= (tptp.root_occ @t65 @t66) (exists (@list @t64) (and (tptp.occurrence_of @t66 @t64) (tptp.subactivity_occurrence @t65 @t66) (tptp.root @t65 @t64)))))) % 34.10/34.52 (assume @p12 (forall (@list @t68 @t69) (= (tptp.leaf_occ @t68 @t69) (exists (@list @t67) (and (tptp.occurrence_of @t69 @t67) (tptp.subactivity_occurrence @t68 @t69) (tptp.leaf @t68 @t67)))))) % 34.10/34.52 (assume @p13 (forall (@list @t70 @t71) (=> (tptp.root @t70 @t71) (tptp.legal @t70)))) % 34.10/34.52 (assume @p14 @t77) % 34.10/34.52 (assume @p15 (forall (@list @t80 @t78) (= (tptp.leaf @t80 @t78) (and (or (tptp.root @t80 @t78) (exists (@list @t81) (tptp.min_precedes @t81 @t80 @t78))) (not (exists (@list @t79) (tptp.min_precedes @t80 @t79 @t78))))))) % 34.10/34.52 (assume @p16 @t93) % 34.10/34.52 (assume @p17 (forall (@list @t95 @t94) (=> (and (tptp.atocc @t95 @t94) (tptp.legal @t95)) (tptp.root @t95 @t94)))) % 34.10/34.52 (assume @p18 (forall (@list @t96) (=> (tptp.legal @t96) (tptp.arboreal @t96)))) % 34.10/34.52 (assume @p19 (forall (@list @t98) (=> (tptp.activity_occurrence @t98) (exists (@list @t97) (and (tptp.activity @t97) (tptp.occurrence_of @t98 @t97)))))) % 34.10/34.52 (assume @p20 (forall (@list @t100 @t99) (=> (tptp.subactivity_occurrence @t100 @t99) (and (tptp.activity_occurrence @t100) (tptp.activity_occurrence @t99))))) % 34.10/34.52 (assume @p21 @t114) % 34.10/34.52 (assume @p22 (forall (@list @t118 @t117 @t115) (=> (and (tptp.occurrence_of @t118 @t115) (tptp.leaf_occ @t117 @t118)) (not (exists (@list @t116) (tptp.min_precedes @t117 @t116 @t115)))))) % 34.10/34.52 (assume @p23 @t126) % 34.10/34.52 (assume @p24 (forall (@list @t128 @t129) (=> (and (tptp.leaf @t128 @t129) (not (tptp.atomic @t129))) (exists (@list @t127) (and (tptp.occurrence_of @t127 @t129) (tptp.leaf_occ @t128 @t127)))))) % 34.10/34.52 (assume @p25 @t143) % 34.10/34.52 (assume @p26 (forall (@list @t145 @t146) (=> (and (tptp.leaf @t145 @t146) (not (tptp.atomic @t146))) (exists (@list @t144) (and (tptp.occurrence_of @t144 @t146) (tptp.leaf_occ @t145 @t144)))))) % 34.10/34.52 (assume @p27 (forall (@list @t151 @t150 @t148) (=> (tptp.min_precedes @t150 @t148 @t151) (exists (@list @t149 @t147) (and (tptp.subactivity @t149 @t151) (tptp.subactivity @t147 @t151) (tptp.atocc @t150 @t149) (tptp.atocc @t148 @t147)))))) % 34.10/34.52 (assume @p28 @t163) % 34.10/34.52 (assume @p29 (forall (@list @t166 @t167 @t165 @t164) (=> (and (tptp.occurrence_of @t167 @t166) (tptp.arboreal @t165) (tptp.arboreal @t164) (tptp.subactivity_occurrence @t165 @t167) (tptp.subactivity_occurrence @t164 @t167)) (or (tptp.min_precedes @t165 @t164 @t166) (tptp.min_precedes @t164 @t165 @t166) (= @t165 @t164))))) % 34.10/34.52 (assume @p30 (forall (@list @t169 @t168) (=> (tptp.occurrence_of @t168 @t169) (and (tptp.activity @t169) (tptp.activity_occurrence @t168))))) % 34.10/34.52 (assume @p31 @t184) % 34.10/34.52 (assume @p32 (forall (@list @t185) (=> (tptp.activity @t185) (tptp.subactivity @t185 @t185)))) % 34.10/34.52 (assume @p33 @t200) % 34.10/34.52 (assume @p34 (tptp.activity tptp.tptp0)) % 34.10/34.52 (assume @p35 (not @t201)) % 34.10/34.52 (assume @p36 (tptp.atomic tptp.tptp4)) % 34.10/34.52 (assume @p37 (tptp.atomic tptp.tptp3)) % 34.10/34.52 (assume @p38 (tptp.atomic tptp.tptp2)) % 34.10/34.52 (assume @p39 @t202) % 34.10/34.52 (assume @p40 (not (= tptp.tptp4 tptp.tptp1))) % 34.10/34.52 (assume @p41 (not @t203)) % 34.10/34.52 (assume @p42 (not (= tptp.tptp4 tptp.tptp2))) % 34.10/34.52 (assume @p43 (not (= tptp.tptp1 tptp.tptp3))) % 34.10/34.52 (assume @p44 (not (= tptp.tptp1 tptp.tptp2))) % 34.10/34.52 (assume @p45 (not (= tptp.tptp3 tptp.tptp2))) % 34.10/34.52 (assume @p46 @t213) % 34.10/34.52 (assume @p47 (forall (@list @t215 @t214) (=> (and (tptp.occurrence_of @t214 tptp.tptp0) (tptp.subactivity_occurrence @t215 @t214) (tptp.arboreal @t215) (not (tptp.leaf_occ @t215 @t214))) (tptp.root_occ @t215 @t214)))) % 34.10/34.52 (assume @p48 @t232) % 34.10/34.52 (assume @p49 (not (not @t236))) % 34.10/34.52 (assume @p50 true) % 34.10/34.52 (step @p51 :rule aci_norm :args ((= (or @t239 (or @t238 @t237)) (or @t239 @t238 @t237)))) % 34.10/34.52 (step @p52 :rule bool-and-de-morgan :args (@t85 @t84 true)) % 34.10/34.52 (step @p53 :rule refl :args (@t239)) % 34.10/34.52 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t239 (not (and @t85 @t84))))) % 34.10/34.52 (step @p55 :rule bool-and-de-morgan :args (@t87 @t85 (and @t84))) % 34.10/34.52 (step @p56 :rule trans :premises (@p55 @p54)) % 34.10/34.52 (step @p57 :rule trans :premises (@p56 @p51)) % 34.10/34.52 (step @p58 :rule cong :premises (@p57) :args (@t240)) % 34.10/34.52 (step @p59 :rule cong :premises (@p58) :args (@t241)) % 34.10/34.52 (step @p60 :rule exists-elim :args ((= @t90 @t241))) % 34.10/34.52 (step @p61 :rule trans :premises (@p60 @p59)) % 34.10/34.52 (step @p62 :rule refl :args (@t91)) % 34.10/34.52 (step @p63 :rule cong :premises (@p62 @p61) :args (@t92)) % 34.10/34.52 (step @p64 :rule cong :premises (@p63) :args (@t93)) % 34.10/34.52 (step @p65 :rule eq_resolve :premises (@p16 @p64)) % 34.10/34.52 (step @p66 :rule instantiate :premises (@p65) :args ((@list @t245 @t247))) % 34.10/34.52 (step @p67 :rule bool-impl-elim :args (@t160 @t248)) % 34.10/34.52 (step @p68 :rule cong :premises (@p67) :args ((forall @t162 (=> @t160 @t248)))) % 34.10/34.52 (step @p69 :rule bool-and-de-morgan :args (@t156 @t154 true)) % 34.10/34.52 (step @p70 :rule cong :premises (@p69) :args (@t249)) % 34.10/34.52 (step @p71 :rule cong :premises (@p70) :args (@t250)) % 34.10/34.52 (step @p72 :rule exists-elim :args ((= @t159 @t250))) % 34.10/34.52 (step @p73 :rule trans :premises (@p72 @p71)) % 34.10/34.52 (step @p74 :rule refl :args (@t160)) % 34.10/34.52 (step @p75 :rule cong :premises (@p74 @p73) :args (@t161)) % 34.10/34.52 (step @p76 :rule cong :premises (@p75) :args (@t163)) % 34.10/34.52 (step @p77 :rule trans :premises (@p76 @p68)) % 34.10/34.52 (step @p78 :rule eq_resolve :premises (@p28 @p77)) % 34.10/34.52 (step @p79 :rule instantiate :premises (@p78) :args ((@list tptp.tptp0 @t245))) % 34.10/34.52 (step @p80 :rule aci_norm :args ((= (or (or @t252 @t178) @t251) (or @t252 @t178 @t251)))) % 34.10/34.52 (step @p81 :rule refl :args (@t251)) % 34.10/34.52 (step @p82 :rule bool-double-not-elim :args (@t178)) % 34.10/34.52 (step @p83 :rule refl :args (@t252)) % 34.10/34.52 (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or @t252 (not @t179)))) % 34.10/34.52 (step @p85 :rule bool-and-de-morgan :args (@t180 @t179 true)) % 34.10/34.52 (step @p86 :rule trans :premises (@p85 @p84)) % 34.10/34.52 (step @p87 :rule nary_cong :premises (@p86 @p81) :args ((or (not @t181) @t251))) % 34.10/34.52 (step @p88 :rule trans :premises (@p87 @p80)) % 34.10/34.52 (step @p89 :rule bool-impl-elim :args (@t181 @t251)) % 34.10/34.52 (step @p90 :rule trans :premises (@p89 @p88)) % 34.10/34.52 (step @p91 :rule cong :premises (@p90) :args ((forall @t183 (=> @t181 @t251)))) % 34.10/34.52 (step @p92 :rule bool-and-de-morgan :args (@t174 @t172 true)) % 34.10/34.52 (step @p93 :rule cong :premises (@p92) :args (@t253)) % 34.10/34.52 (step @p94 :rule cong :premises (@p93) :args (@t254)) % 34.10/34.52 (step @p95 :rule exists-elim :args ((= @t177 @t254))) % 34.10/34.52 (step @p96 :rule trans :premises (@p95 @p94)) % 34.10/34.52 (step @p97 :rule refl :args (@t181)) % 34.10/34.52 (step @p98 :rule cong :premises (@p97 @p96) :args (@t182)) % 34.10/34.52 (step @p99 :rule cong :premises (@p98) :args (@t184)) % 34.10/34.52 (step @p100 :rule trans :premises (@p99 @p91)) % 34.10/34.52 (step @p101 :rule eq_resolve :premises (@p31 @p100)) % 34.10/34.52 (step @p102 :rule instantiate :premises (@p101) :args ((@list tptp.tptp0 @t243))) % 34.10/34.52 (step @p103 :rule exists-elim :args ((= @t236 @t255))) % 34.10/34.52 (step @p104 :rule bool-double-not-elim :args (@t236)) % 34.10/34.52 (step @p105 :rule trans :premises (@p104 @p103)) % 34.10/34.52 (step @p106 :rule eq_resolve :premises (@p49 @p105)) % 34.10/34.52 (step @p107 :rule refl :args (@t256)) % 34.10/34.52 (step @p108 :rule bool-double-not-elim :args (@t242)) % 34.10/34.52 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or (not @t255) @t256))) % 34.10/34.52 (step @p110 :rule bool-double-not-elim :args (@t256)) % 34.10/34.52 (step @p111 :rule refl :args (@t255)) % 34.10/34.52 (step @p112 :rule cong :premises (@p111 @p110) :args ((=> @t255 @t258))) % 34.10/34.52 (assume-push @p656 @t255) % 34.10/34.52 (step @p114 :rule skolemize :premises (@p106)) % 34.10/34.52 (step-pop @p657 :rule scope :premises (@p114)) % 34.10/34.52 (step @p115 :rule process_scope :premises (@p657) :args (@t258)) % 34.10/34.52 (step @p117 :rule eq_resolve :premises (@p115 @p112)) % 34.10/34.52 (step @p118 :rule implies_elim :premises (@p117)) % 34.10/34.52 (step @p119 :rule eq_resolve :premises (@p118 @p109)) % 34.10/34.52 (step @p120 :rule chain_m_resolution :premises (@p119 @p106) :args (@t256 @t259 (@list @t242))) % 34.10/34.52 (step @p121 :rule cnf_or_pos :args (@t261)) % 34.10/34.52 (step @p122 :rule reordering :premises (@p121) :args ((or @t201 @t257 @t260 (not @t261)))) % 34.10/34.52 (step @p123 :rule chain_m_resolution :premises (@p122 @p35 @p120 @p102) :args (@t260 @t262 (@list @t201 @t256 @t261))) % 34.10/34.52 (step @p124 :rule skolemize :premises (@p123)) % 34.10/34.52 (step @p125 :rule bool-double-not-elim :args (@t263)) % 34.10/34.52 (step @p126 :rule refl :args (@t267)) % 34.10/34.52 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t267 (not @t266)))) % 34.10/34.52 (step @p128 :rule cnf_or_neg :args (@t267 0)) % 34.10/34.52 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 34.10/34.52 (step @p130 :rule reordering :premises (@p129) :args ((or @t263 @t267))) % 34.10/34.52 (step @p131 :rule chain_m_resolution :premises (@p130 @p124) :args (@t263 @t259 @t268)) % 34.10/34.52 (step @p132 :rule cnf_or_pos :args (@t270)) % 34.10/34.52 (step @p133 :rule reordering :premises (@p132) :args ((or @t266 @t269 (not @t270)))) % 34.10/34.52 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p79) :args (@t269 @t271 (@list @t263 @t270))) % 34.10/34.52 (step @p135 :rule skolemize :premises (@p134)) % 34.10/34.52 (step @p136 :rule bool-double-not-elim :args (@t272)) % 34.10/34.52 (step @p137 :rule refl :args (@t274)) % 34.10/34.52 (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or @t274 (not @t273)))) % 34.10/34.52 (step @p139 :rule cnf_or_neg :args (@t274 1)) % 34.10/34.52 (step @p140 :rule eq_resolve :premises (@p139 @p138)) % 34.10/34.52 (step @p141 :rule reordering :premises (@p140) :args ((or @t272 @t274))) % 34.10/34.52 (step @p142 :rule chain_m_resolution :premises (@p141 @p135) :args (@t272 @t259 (@list @t274))) % 34.10/34.52 (step @p143 :rule cnf_equiv_pos1 :args (@t277)) % 34.10/34.52 (step @p144 :rule reordering :premises (@p143) :args ((or @t273 @t276 (not @t277)))) % 34.10/34.52 (step @p145 :rule chain_m_resolution :premises (@p144 @p142 @p66) :args (@t276 @t271 (@list @t272 @t277))) % 34.10/34.52 (step @p146 :rule skolemize :premises (@p145)) % 34.10/34.52 (step @p147 :rule bool-double-not-elim :args (@t279)) % 34.10/34.52 (step @p148 :rule refl :args (@t283)) % 34.10/34.52 (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or @t283 (not @t280)))) % 34.10/34.52 (step @p150 :rule cnf_or_neg :args (@t283 2)) % 34.10/34.52 (step @p151 :rule eq_resolve :premises (@p150 @p149)) % 34.10/34.52 (step @p152 :rule reordering :premises (@p151) :args ((or @t279 @t283))) % 34.10/34.52 (step @p153 :rule chain_m_resolution :premises (@p152 @p146) :args (@t279 @t259 @t284)) % 34.10/34.52 (step @p154 :rule bool-double-not-elim :args (@t281)) % 34.10/34.52 (step @p155 :rule nary_cong :premises (@p148 @p154) :args ((or @t283 (not @t282)))) % 34.10/34.52 (step @p156 :rule cnf_or_neg :args (@t283 1)) % 34.10/34.52 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 34.10/34.52 (step @p158 :rule reordering :premises (@p157) :args ((or @t281 @t283))) % 34.10/34.52 (step @p159 :rule chain_m_resolution :premises (@p158 @p146) :args (@t281 @t259 @t284)) % 34.10/34.52 (step @p160 :rule aci_norm :args ((= (or (or @t287 @t286 @t285 @t207) @t206) (or @t287 @t286 @t285 @t207 @t206)))) % 34.10/34.52 (step @p161 :rule refl :args (@t206)) % 34.10/34.52 (step @p162 :rule bool-double-not-elim :args (@t207)) % 34.10/34.52 (step @p163 :rule refl :args (@t285)) % 34.10/34.52 (step @p164 :rule refl :args (@t286)) % 34.10/34.52 (step @p165 :rule refl :args (@t287)) % 34.10/34.52 (step @p166 :rule nary_cong :premises (@p165 @p164 @p163 @p162) :args (@t289)) % 34.10/34.52 (step @p167 :rule aci_norm :args ((= (or @t287 (or @t286 (or @t285 @t288))) @t289))) % 34.10/34.52 (step @p168 :rule trans :premises (@p167 @p166)) % 34.10/34.52 (step @p169 :rule bool-and-de-morgan :args (@t209 @t208 true)) % 34.10/34.52 (step @p170 :rule nary_cong :premises (@p164 @p169) :args ((or @t286 (not (and @t209 @t208))))) % 34.10/34.52 (step @p171 :rule bool-and-de-morgan :args (@t210 @t209 (and @t208))) % 34.10/34.52 (step @p172 :rule trans :premises (@p171 @p170)) % 34.10/34.52 (step @p173 :rule nary_cong :premises (@p165 @p172) :args ((or @t287 (not (and @t210 @t209 @t208))))) % 34.10/34.52 (step @p174 :rule bool-and-de-morgan :args (@t211 @t210 (and @t209 @t208))) % 34.10/34.52 (step @p175 :rule trans :premises (@p174 @p173)) % 34.10/34.52 (step @p176 :rule trans :premises (@p175 @p168)) % 34.10/34.52 (step @p177 :rule nary_cong :premises (@p176 @p161) :args ((or (not @t212) @t206))) % 34.10/34.52 (step @p178 :rule trans :premises (@p177 @p160)) % 34.10/34.52 (step @p179 :rule bool-impl-elim :args (@t212 @t206)) % 34.10/34.52 (step @p180 :rule trans :premises (@p179 @p178)) % 34.10/34.52 (step @p181 :rule cong :premises (@p180) :args (@t213)) % 34.10/34.52 (step @p182 :rule eq_resolve :premises (@p46 @p181)) % 34.10/34.52 (step @p183 :rule instantiate :premises (@p182) :args (@t290)) % 34.10/34.52 (step @p184 :rule aci_norm :args ((= (or (or @t293 @t25 @t292 @t291) @t20) (or @t293 @t25 @t292 @t291 @t20)))) % 34.10/34.52 (step @p185 :rule refl :args (@t20)) % 34.10/34.52 (step @p186 :rule refl :args (@t291)) % 34.10/34.52 (step @p187 :rule refl :args (@t292)) % 34.10/34.52 (step @p188 :rule bool-double-not-elim :args (@t25)) % 34.10/34.52 (step @p189 :rule refl :args (@t293)) % 34.10/34.52 (step @p190 :rule nary_cong :premises (@p189 @p188 @p187 @p186) :args (@t295)) % 34.10/34.52 (step @p191 :rule aci_norm :args ((= (or @t293 (or @t294 (or @t292 @t291))) @t295))) % 34.10/34.52 (step @p192 :rule trans :premises (@p191 @p190)) % 34.10/34.52 (step @p193 :rule bool-and-de-morgan :args (@t23 @t22 true)) % 34.10/34.52 (step @p194 :rule refl :args (@t294)) % 34.10/34.52 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or @t294 (not (and @t23 @t22))))) % 34.10/34.52 (step @p196 :rule bool-and-de-morgan :args (@t26 @t23 (and @t22))) % 34.10/34.52 (step @p197 :rule trans :premises (@p196 @p195)) % 34.10/34.52 (step @p198 :rule nary_cong :premises (@p189 @p197) :args ((or @t293 (not (and @t26 @t23 @t22))))) % 34.10/34.52 (step @p199 :rule bool-and-de-morgan :args (@t27 @t26 (and @t23 @t22))) % 34.10/34.52 (step @p200 :rule trans :premises (@p199 @p198)) % 34.10/34.52 (step @p201 :rule trans :premises (@p200 @p192)) % 34.10/34.52 (step @p202 :rule nary_cong :premises (@p201 @p185) :args ((or (not @t28) @t20))) % 34.10/34.52 (step @p203 :rule trans :premises (@p202 @p184)) % 34.10/34.52 (step @p204 :rule bool-impl-elim :args (@t28 @t20)) % 34.10/34.52 (step @p205 :rule trans :premises (@p204 @p203)) % 34.10/34.52 (step @p206 :rule cong :premises (@p205) :args (@t29)) % 34.10/34.52 (step @p207 :rule eq_resolve :premises (@p4 @p206)) % 34.10/34.52 (step @p208 :rule instantiate :premises (@p207) :args ((@list @t245 @t300 @t243 tptp.tptp0))) % 34.10/34.52 (step @p209 :rule bool-impl-elim :args (@t58 @t56)) % 34.10/34.52 (step @p210 :rule cong :premises (@p209) :args (@t59)) % 34.10/34.52 (step @p211 :rule eq_resolve :premises (@p8 @p210)) % 34.10/34.52 (step @p212 :rule instantiate :premises (@p211) :args (@t302)) % 34.10/34.52 (step @p213 :rule bool-double-not-elim :args ((forall @t37 (or (not @t35) (not @t33))))) % 34.10/34.52 (step @p214 :rule bool-and-de-morgan :args (@t35 @t33 true)) % 34.10/34.52 (step @p215 :rule cong :premises (@p214) :args (@t303)) % 34.10/34.52 (step @p216 :rule cong :premises (@p215) :args (@t304)) % 34.10/34.52 (step @p217 :rule exists-elim :args ((= @t38 @t304))) % 34.10/34.52 (step @p218 :rule trans :premises (@p217 @p216)) % 34.10/34.52 (step @p219 :rule cong :premises (@p218) :args (@t39)) % 34.10/34.52 (step @p220 :rule trans :premises (@p219 @p213)) % 34.10/34.52 (step @p221 :rule refl :args (@t40)) % 34.10/34.52 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t41)) % 34.10/34.52 (step @p223 :rule refl :args (@t42)) % 34.10/34.52 (step @p224 :rule cong :premises (@p223 @p222) :args (@t43)) % 34.10/34.52 (step @p225 :rule cong :premises (@p224) :args (@t44)) % 34.10/34.52 (step @p226 :rule eq_resolve :premises (@p5 @p225)) % 34.10/34.52 (step @p227 :rule instantiate :premises (@p226) :args (@t302)) % 34.10/34.52 (step @p228 :rule bool-impl-elim :args (@t197 @t308)) % 34.10/34.52 (step @p229 :rule cong :premises (@p228) :args ((forall @t199 (=> @t197 @t308)))) % 34.10/34.52 (step @p230 :rule aci_norm :args ((= (or @t298 (or @t306 (or @t297 (or @t305 @t296)))) @t307))) % 34.10/34.52 (step @p231 :rule bool-and-de-morgan :args (@t190 @t188 true)) % 34.10/34.52 (step @p232 :rule refl :args (@t297)) % 34.10/34.52 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t297 (not (and @t190 @t188))))) % 34.10/34.52 (step @p234 :rule bool-and-de-morgan :args (@t191 @t190 (and @t188))) % 34.10/34.52 (step @p235 :rule trans :premises (@p234 @p233)) % 34.10/34.52 (step @p236 :rule refl :args (@t306)) % 34.10/34.52 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or @t306 (not (and @t191 @t190 @t188))))) % 34.10/34.52 (step @p238 :rule bool-and-de-morgan :args (@t192 @t191 (and @t190 @t188))) % 34.10/34.52 (step @p239 :rule trans :premises (@p238 @p237)) % 34.10/34.52 (step @p240 :rule refl :args (@t298)) % 34.10/34.52 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t298 (not (and @t192 @t191 @t190 @t188))))) % 34.10/34.52 (step @p242 :rule bool-and-de-morgan :args (@t193 @t192 (and @t191 @t190 @t188))) % 34.10/34.52 (step @p243 :rule trans :premises (@p242 @p241)) % 34.10/34.52 (step @p244 :rule trans :premises (@p243 @p230)) % 34.10/34.52 (step @p245 :rule cong :premises (@p244) :args (@t309)) % 34.10/34.52 (step @p246 :rule cong :premises (@p245) :args (@t310)) % 34.10/34.52 (step @p247 :rule exists-elim :args ((= @t196 @t310))) % 34.10/34.52 (step @p248 :rule trans :premises (@p247 @p246)) % 34.10/34.52 (step @p249 :rule refl :args (@t197)) % 34.10/34.52 (step @p250 :rule cong 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@p477)) % 34.10/34.52 (step @p480 :rule refl :args (@t140)) % 34.10/34.52 (step @p481 :rule cong :premises (@p480 @p479) :args (@t141)) % 34.10/34.52 (step @p482 :rule cong :premises (@p481) :args (@t143)) % 34.10/34.52 (step @p483 :rule trans :premises (@p482 @p468)) % 34.10/34.52 (step @p484 :rule eq_resolve :premises (@p25 @p483)) % 34.10/34.52 (step @p485 :rule instantiate :premises (@p484) :args ((@list tptp.tptp0 @t245 @t362))) % 34.10/34.52 (step @p486 :rule cnf_or_pos :args (@t386)) % 34.10/34.52 (step @p487 :rule reordering :premises (@p486) :args ((or @t385 @t384 (not @t386)))) % 34.10/34.52 (step @p488 :rule refl :args (@t393)) % 34.10/34.52 (step @p489 :rule bool-double-not-elim :args (@t383)) % 34.10/34.52 (step @p490 :rule nary_cong :premises (@p489 @p488) :args ((or (not @t384) @t393))) % 34.10/34.52 (assume-push @p688 @t384) % 34.10/34.52 (step @p492 :rule skolemize :premises (@p688)) % 34.10/34.52 (step-pop @p689 :rule scope :premises (@p492)) % 34.10/34.52 (step @p493 :rule process_scope :premises (@p689) :args (@t393)) % 34.10/34.52 (step @p495 :rule implies_elim :premises (@p493)) % 34.10/34.52 (step @p496 :rule eq_resolve :premises (@p495 @p490)) % 34.10/34.52 (step @p497 :rule bool-double-not-elim :args (@t390)) % 34.10/34.52 (step @p498 :rule refl :args (@t392)) % 34.10/34.52 (step @p499 :rule nary_cong :premises (@p498 @p497) :args ((or @t392 (not @t391)))) % 34.10/34.52 (step @p500 :rule cnf_or_neg :args (@t392 0)) % 34.10/34.52 (step @p501 :rule eq_resolve :premises (@p500 @p499)) % 34.10/34.52 (step @p502 :rule reordering :premises (@p501) :args ((or @t390 @t392))) % 34.10/34.52 (step @p503 :rule bool-double-not-elim :args (@t388)) % 34.10/34.52 (step @p504 :rule nary_cong :premises (@p498 @p503) :args ((or @t392 (not @t389)))) % 34.10/34.52 (step @p505 :rule cnf_or_neg :args (@t392 2)) % 34.10/34.52 (step @p506 :rule eq_resolve :premises (@p505 @p504)) % 34.10/34.52 (step @p507 :rule reordering :premises (@p506) :args ((or @t388 @t392))) % 34.10/34.52 (step @p508 :rule instantiate :premises (@p253) :args ((@list @t387))) % 34.10/34.52 (step @p509 :rule cnf_or_pos :args (@t396)) % 34.10/34.52 (step @p510 :rule reordering :premises (@p509) :args ((or @t391 @t395 (not @t396)))) % 34.10/34.52 (step @p511 :rule quant-merge-prenex :args ((= (forall @t113 @t403) (forall (@list @t108 @t102 @t101 @t397) @t401)))) % 34.10/34.52 (step @p512 :rule alpha_equiv :args (@t404 (@list @t397) (@list @t103))) % 34.10/34.52 (step @p513 :rule refl :args (@t399)) % 34.10/34.52 (step @p514 :rule refl :args (@t400)) % 34.10/34.52 (step @p515 :rule nary_cong :premises (@p514 @p513 @p512) :args (@t405)) % 34.10/34.52 (step @p516 :rule quant-miniscope-or :args ((= @t403 @t405))) % 34.10/34.52 (step @p517 :rule trans :premises (@p516 @p515)) % 34.10/34.52 (step @p518 :rule symm :premises (@p517)) % 34.10/34.52 (step @p519 :rule cong :premises (@p518) :args ((forall @t113 @t407))) % 34.10/34.52 (step @p520 :rule trans :premises (@p519 @p511)) % 34.10/34.52 (step @p521 :rule aci_norm :args ((= (or (or @t400 @t399) @t406) @t407))) % 34.10/34.52 (step @p522 :rule refl :args (@t406)) % 34.10/34.52 (step @p523 :rule bool-and-de-morgan :args (@t110 @t109 true)) % 34.10/34.52 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or (not @t111) @t406))) % 34.10/34.52 (step @p525 :rule trans :premises (@p524 @p521)) % 34.10/34.52 (step @p526 :rule bool-impl-elim :args (@t111 @t406)) % 34.10/34.52 (step @p527 :rule trans :premises (@p526 @p525)) % 34.10/34.52 (step @p528 :rule cong :premises (@p527) :args ((forall @t113 (=> @t111 @t406)))) % 34.10/34.52 (step @p529 :rule trans :premises (@p528 @p520)) % 34.10/34.52 (step @p530 :rule bool-double-not-elim :args (@t406)) % 34.10/34.52 (step @p531 :rule exists-elim :args ((= @t106 (not @t406)))) % 34.10/34.52 (step @p532 :rule cong :premises (@p531) :args (@t107)) % 34.10/34.52 (step @p533 :rule trans :premises (@p532 @p530)) % 34.10/34.52 (step @p534 :rule refl :args (@t111)) % 34.10/34.52 (step @p535 :rule cong :premises (@p534 @p533) :args (@t112)) % 34.10/34.52 (step @p536 :rule cong :premises (@p535) :args (@t114)) % 34.10/34.52 (step @p537 :rule trans :premises (@p536 @p529)) % 34.10/34.52 (step @p538 :rule eq_resolve :premises (@p21 @p537)) % 34.10/34.52 (step @p539 :rule instantiate :premises (@p538) :args ((@list @t387 @t362 tptp.tptp0 @t245))) % 34.10/34.52 (step @p540 :rule cnf_or_pos :args (@t410)) % 34.10/34.52 (step @p541 :rule reordering :premises (@p540) :args ((or @t385 @t391 @t409 (not @t410)))) % 34.10/34.52 (step @p542 :rule refl :args (@t418)) % 34.10/34.52 (step @p543 :rule bool-double-not-elim :args (@t394)) % 34.10/34.52 (step @p544 :rule nary_cong :premises (@p543 @p542) :args ((or (not @t395) @t418))) % 34.10/34.52 (assume-push @p690 @t395) % 34.10/34.52 (step @p546 :rule skolemize :premises (@p690)) % 34.10/34.52 (step-pop @p691 :rule scope :premises (@p546)) % 34.10/34.52 (step @p547 :rule process_scope :premises (@p691) :args (@t418)) % 34.10/34.52 (step @p549 :rule implies_elim :premises (@p547)) % 34.10/34.52 (step @p550 :rule eq_resolve :premises (@p549 @p544)) % 34.10/34.52 (step @p551 :rule instantiate :premises (@p182) :args ((@list @t362 @t387))) % 34.10/34.52 (step @p552 :rule cnf_or_pos :args (@t421)) % 34.10/34.52 (step @p553 :rule reordering :premises (@p552) :args ((or @t420 @t391 @t389 @t408 @t419 (not @t421)))) % 34.10/34.52 (step @p554 :rule bool-double-not-elim :args (@t415)) % 34.10/34.52 (step @p555 :rule refl :args (@t417)) % 34.10/34.52 (step @p556 :rule nary_cong :premises (@p555 @p554) :args ((or @t417 (not @t416)))) % 34.10/34.52 (step @p557 :rule cnf_or_neg :args (@t417 2)) % 34.10/34.52 (step @p558 :rule eq_resolve :premises (@p557 @p556)) % 34.10/34.52 (step @p559 :rule reordering :premises (@p558) :args ((or @t415 @t417))) % 34.10/34.52 (step @p560 :rule bool-double-not-elim :args (@t413)) % 34.10/34.52 (step @p561 :rule nary_cong :premises (@p555 @p560) :args ((or @t417 (not @t414)))) % 34.10/34.52 (step @p562 :rule cnf_or_neg :args (@t417 3)) % 34.10/34.52 (step @p563 :rule eq_resolve :premises (@p562 @p561)) % 34.10/34.52 (step @p564 :rule reordering :premises (@p563) :args ((or @t413 @t417))) % 34.10/34.52 (step @p565 :rule symm :premises (@p43)) % 34.10/34.52 (step @p566 :rule instantiate :premises (@p346) :args ((@list @t411 tptp.tptp3 tptp.tptp1))) % 34.10/34.52 (step @p567 :rule cnf_or_pos :args (@t425)) % 34.10/34.52 (step @p568 :rule reordering :premises (@p567) :args ((or @t422 @t416 @t424 (not @t425)))) % 34.10/34.52 (step @p569 :rule instantiate :premises (@p207) :args ((@list @t362 @t411 @t387 tptp.tptp0))) % 34.10/34.52 (step @p570 :rule cnf_or_pos :args (@t428)) % 34.10/34.52 (step @p571 :rule reordering :premises (@p570) :args ((or @t201 @t391 @t427 @t414 @t426 (not @t428)))) % 34.10/34.52 (step @p572 :rule bool-double-not-elim :args (@t423)) % 34.10/34.52 (step @p573 :rule refl :args (@t429)) % 34.10/34.52 (step @p574 :rule nary_cong :premises (@p447 @p573 @p572) :args ((or @t366 @t429 (not @t424)))) % 34.10/34.52 (assume-push @p692 @t363) % 34.10/34.52 (assume-push @p693 @t426) % 34.10/34.52 (assume-push @p694 @t424) % 34.10/34.52 (step @p578 :rule evaluate :args ((= false true))) % 34.10/34.52 (step @p579 :rule true_intro :premises (@p692)) % 34.10/34.52 (step @p580 :rule refl :args (tptp.tptp1)) % 34.10/34.52 (step @p581 :rule symm :premises (@p693)) % 34.10/34.52 (step @p582 :rule cong :premises (@p581 @p580) :args (@t423)) % 34.10/34.52 (step @p583 :rule false_intro :premises (@p694)) % 34.10/34.52 (step @p584 :rule symm :premises (@p583)) % 34.10/34.52 (step @p585 :rule trans :premises (@p584 @p582 @p579)) % 34.10/34.52 (step @p586 false :rule eq_resolve :premises (@p585 @p578)) % 34.10/34.52 (step-pop @p695 :rule scope :premises (@p586)) % 34.10/34.52 (step-pop @p696 :rule scope :premises (@p695)) % 34.10/34.52 (step-pop @p697 :rule scope :premises (@p696)) % 34.10/34.52 (step @p587 :rule process_scope :premises (@p697) :args (false)) % 34.10/34.52 (step @p591 :rule not_and :premises (@p587)) % 34.10/34.52 (step @p592 :rule eq_resolve :premises (@p591 @p574)) % 34.10/34.52 (step @p593 :rule chain_m_resolution :premises (@p592 @p571 @p569 @p35 @p568 @p566 @p565 @p564 @p559 @p553 @p551 @p550 @p541 @p539 @p510 @p508 @p507 @p502 @p496 @p487 @p485 @p466 @p464 @p39 @p462 @p460 @p459 @p457 @p442 @p437) :args (@t367 (@list false false true true false true false false false false true true false true false false false true true false false false false false false false false false false) (@list @t426 @t428 @t201 @t423 @t425 @t422 @t413 @t415 @t419 @t421 @t417 @t408 @t410 @t394 @t396 @t388 @t390 @t392 @t383 @t386 @t373 @t368 @t202 @t374 @t375 @t371 @t372 @t364 @t363))) % 34.10/34.52 (step @p594 :rule refl :args (@t430)) % 34.10/34.52 (step @p595 :rule bool-double-not-elim :args (@t361)) % 34.10/34.52 (step @p596 :rule nary_cong :premises (@p595 @p594) :args ((or (not @t431) @t430))) % 34.10/34.52 (assume-push @p698 @t431) % 34.10/34.52 (step @p598 :rule skolemize :premises (@p698)) % 34.10/34.52 (step-pop @p699 :rule scope :premises (@p598)) % 34.10/34.52 (step @p599 :rule process_scope :premises (@p699) :args (@t430)) % 34.10/34.52 (step @p601 :rule implies_elim :premises (@p599)) % 34.10/34.52 (step @p602 :rule eq_resolve :premises (@p601 @p596)) % 34.10/34.52 (step @p603 :rule chain_m_resolution :premises (@p602 @p593) :args (@t361 @t328 (@list @t367))) % 34.10/34.52 (step @p604 :rule cnf_or_pos :args (@t434)) % 34.10/34.52 (step @p605 :rule reordering :premises (@p604) :args ((or @t257 @t265 @t337 @t433 @t431 (not @t434)))) % 34.10/34.52 (step @p606 :rule bool-impl-elim :args (@t49 @t47)) % 34.10/34.52 (step @p607 :rule cong :premises (@p606) :args (@t50)) % 34.10/34.52 (step @p608 :rule eq_resolve :premises (@p6 @p607)) % 34.10/34.52 (step @p609 :rule instantiate :premises (@p608) :args (@t302)) % 34.10/34.52 (step @p610 :rule cnf_or_pos :args (@t437)) % 34.10/34.52 (step @p611 :rule reordering :premises (@p610) :args ((or @t314 @t436 (not @t437)))) % 34.10/34.52 (step @p612 :rule chain_m_resolution :premises (@p611 @p265 @p609) :args (@t436 @t271 (@list @t313 @t437))) % 34.10/34.52 (step @p613 :rule cnf_and_pos :args (@t436 0)) % 34.10/34.52 (step @p614 :rule reordering :premises (@p613) :args ((or @t435 (not @t436)))) % 34.10/34.52 (step @p615 :rule chain_m_resolution :premises (@p614 @p612) :args (@t435 @t328 (@list @t436))) % 34.10/34.52 (assume-push @p700 @t435) % 34.10/34.52 (assume-push @p701 @t349) % 34.10/34.52 (assume-push @p702 @t435) % 34.10/34.52 (assume-push @p703 @t349) % 34.10/34.52 (step @p620 :rule true_intro :premises (@p615)) % 34.10/34.52 (step @p621 :rule cong :premises (@p701) :args (@t432)) % 34.10/34.52 (step @p622 :rule trans :premises (@p621 @p620)) % 34.10/34.52 (step @p623 :rule true_elim :premises (@p622)) % 34.10/34.52 (step-pop @p704 :rule scope :premises (@p623)) % 34.10/34.52 (step-pop @p705 :rule scope :premises (@p704)) % 34.10/34.52 (step @p624 :rule process_scope :premises (@p705) :args (@t432)) % 34.10/34.52 (step @p627 :rule and_intro :premises (@p615 @p701)) % 34.10/34.52 (step @p628 :rule modus_ponens :premises (@p627 @p624)) % 34.10/34.52 (step-pop @p706 :rule scope :premises (@p628)) % 34.10/34.52 (step-pop @p707 :rule scope :premises (@p706)) % 34.10/34.52 (step @p629 :rule process_scope :premises (@p707) :args (@t432)) % 34.10/34.52 (step @p632 :rule implies_elim :premises (@p629)) % 34.10/34.52 (step @p633 :rule cnf_and_neg :args (@t438)) % 34.10/34.52 (step @p634 :rule resolution :premises (@p633 @p632) :args (true @t438)) % 34.10/34.52 (step @p635 :rule reordering :premises (@p634) :args ((or @t432 (not @t435) @t350))) % 34.10/34.52 (step @p636 :rule chain_m_resolution :premises (@p635 @p615 @p605 @p603 @p431 @p398 @p120 @p314 @p208 @p312 @p120 @p35 @p392 @p356 @p337) :args (@t350 (@list false true false false false false true false false false true true true false) (@list @t435 @t432 @t361 @t434 @t264 @t256 @t337 @t339 @t315 @t256 @t201 @t333 @t346 @t317))) % 34.10/34.52 (step @p637 :rule bool-double-not-elim :args (@t319)) % 34.10/34.52 (step @p638 :rule nary_cong :premises (@p260 @p637) :args ((or @t323 (not @t320)))) % 34.10/34.52 (step @p639 :rule cnf_or_neg :args (@t323 1)) % 34.10/34.52 (step @p640 :rule eq_resolve :premises (@p639 @p638)) % 34.10/34.52 (step @p641 :rule reordering :premises (@p640) :args ((or @t319 @t323))) % 34.10/34.52 (step @p642 :rule chain_m_resolution :premises (@p641 @p258) :args (@t319 @t259 @t324)) % 34.10/34.52 (step @p643 :rule cnf_or_pos :args (@t441)) % 34.10/34.52 (step @p644 :rule reordering :premises (@p643) :args ((or @t257 @t320 @t440 @t349 (not @t441)))) % 34.10/34.52 (step @p645 :rule chain_m_resolution :premises (@p644 @p120 @p642 @p636 @p331) :args (@t440 (@list false false true false) (@list @t256 @t319 @t349 @t441))) % 34.10/34.52 (step @p646 :rule cnf_or_pos :args (@t442)) % 34.10/34.52 (step @p647 :rule reordering :premises (@p646) :args ((or @t257 @t265 @t439 @t337 @t433 (not @t442)))) % 34.10/34.52 (step @p648 :rule chain_m_resolution :premises (@p647 @p120 @p398 @p645 @p315 @p183) :args (@t433 (@list false false true true false) (@list @t256 @t264 @t439 @t337 @t442))) % 34.10/34.52 (step @p649 :rule cnf_equiv_pos2 :args (@t443)) % 34.10/34.52 (step @p650 :rule reordering :premises (@p649) :args ((or @t432 @t282 @t444))) % 34.10/34.52 (step @p651 :rule chain_m_resolution :premises (@p650 @p648 @p159) :args (@t444 (@list true false) (@list @t432 @t281))) % 34.10/34.52 (step @p652 :rule instantiate :premises (@p445) :args ((@list @t245 @t278))) % 34.10/34.52 (step @p653 :rule cnf_or_pos :args (@t445)) % 34.10/34.52 (step @p654 :rule reordering :premises (@p653) :args ((or @t280 @t443 (not @t445)))) % 34.10/34.52 (step @p655 false :rule chain_m_resolution :premises (@p654 @p652 @p651 @p153) :args (false (@list false true false) (@list @t445 @t443 @t279))) % 34.10/34.52 ) % 34.10/34.52 % SZS output end Proof % 34.10/34.52 % cvc5 exiting %------------------------------------------------------------------------------