%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PRO012+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 08:43:45 AM UTC 2026 % Result : Theorem 6.72s 7.02s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PRO012+4 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n011.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:08:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 6.72/7.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.72/7.02 % SZS status Theorem % 6.72/7.02 % SZS output start Proof % 6.72/7.02 ( % 6.72/7.02 (declare-sort $$unsorted 0) % 6.72/7.02 (declare-const tptp.tptp1 $$unsorted) % 6.72/7.02 (declare-const tptp.precedes (-> $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.legal (-> $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.subactivity_occurrence (-> $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.tptp0 $$unsorted) % 6.72/7.02 (declare-const tptp.next_subocc (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.leaf (-> $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.root (-> $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.leaf_occ (-> $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.atomic (-> $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.root_occ (-> $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.tptp3 $$unsorted) % 6.72/7.02 (declare-const tptp.subactivity (-> $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.earlier (-> $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.occurrence_of (-> $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.tptp4 $$unsorted) % 6.72/7.02 (declare-const tptp.atocc (-> $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.activity (-> $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.min_precedes (-> $$unsorted $$unsorted $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.arboreal (-> $$unsorted Bool)) % 6.72/7.02 (declare-const tptp.tptp2 $$unsorted) % 6.72/7.02 (declare-const tptp.activity_occurrence (-> $$unsorted Bool)) % 6.72/7.02 (define @t1 () (@var "X1" $$unsorted)) % 6.72/7.02 (define @t2 () (@var "X2" $$unsorted)) % 6.72/7.02 (define @t3 () (@var "X0" $$unsorted)) % 6.72/7.02 (define @t4 () (@var "X3" $$unsorted)) % 6.72/7.02 (define @t5 () (@var "X7" $$unsorted)) % 6.72/7.02 (define @t6 () (@var "X5" $$unsorted)) % 6.72/7.02 (define @t7 () (@var "X6" $$unsorted)) % 6.72/7.02 (define @t8 () (@var "X4" $$unsorted)) % 6.72/7.02 (define @t9 () (@var "X10" $$unsorted)) % 6.72/7.02 (define @t10 () (@var "X11" $$unsorted)) % 6.72/7.02 (define @t11 () (@var "X8" $$unsorted)) % 6.72/7.02 (define @t12 () (@var "X9" $$unsorted)) % 6.72/7.02 (define @t13 () (@var "X13" $$unsorted)) % 6.72/7.02 (define @t14 () (@var "X12" $$unsorted)) % 6.72/7.02 (define @t15 () (@var "X17" $$unsorted)) % 6.72/7.02 (define @t16 () (@var "X16" $$unsorted)) % 6.72/7.02 (define @t17 () (= @t16 @t15)) % 6.72/7.02 (define @t18 () (@var "X14" $$unsorted)) % 6.72/7.02 (define @t19 () (tptp.min_precedes @t15 @t16 @t18)) % 6.72/7.02 (define @t20 () (tptp.min_precedes @t16 @t15 @t18)) % 6.72/7.02 (define @t21 () (or @t20 @t19 @t17)) % 6.72/7.02 (define @t22 () (@var "X15" $$unsorted)) % 6.72/7.02 (define @t23 () (tptp.subactivity_occurrence @t15 @t22)) % 6.72/7.02 (define @t24 () (tptp.subactivity_occurrence @t16 @t22)) % 6.72/7.02 (define @t25 () (tptp.arboreal @t15)) % 6.72/7.02 (define @t26 () (tptp.arboreal @t16)) % 6.72/7.02 (define @t27 () (tptp.occurrence_of @t22 @t18)) % 6.72/7.02 (define @t28 () (and @t27 @t26 @t25 @t24 @t23)) % 6.72/7.02 (define @t29 () (@list @t18 @t22 @t16 @t15)) % 6.72/7.02 (define @t30 () (forall @t29 (=> @t28 @t21))) % 6.72/7.02 (define @t31 () (@var "X20" $$unsorted)) % 6.72/7.02 (define @t32 () (@var "X19" $$unsorted)) % 6.72/7.02 (define @t33 () (@var "X18" $$unsorted)) % 6.72/7.02 (define @t34 () (@var "X24" $$unsorted)) % 6.72/7.02 (define @t35 () (@var "X23" $$unsorted)) % 6.72/7.02 (define @t36 () (tptp.subactivity_occurrence @t35 @t34)) % 6.72/7.02 (define @t37 () (@var "X22" $$unsorted)) % 6.72/7.02 (define @t38 () (tptp.subactivity_occurrence @t37 @t34)) % 6.72/7.02 (define @t39 () (@var "X21" $$unsorted)) % 6.72/7.02 (define @t40 () (tptp.occurrence_of @t34 @t39)) % 6.72/7.02 (define @t41 () (and @t40 @t38 @t36)) % 6.72/7.02 (define @t42 () (@list @t34)) % 6.72/7.02 (define @t43 () (exists @t42 @t41)) % 6.72/7.02 (define @t44 () (tptp.min_precedes @t37 @t35 @t39)) % 6.72/7.02 (define @t45 () (=> @t44 @t43)) % 6.72/7.02 (define @t46 () (@list @t39 @t37 @t35)) % 6.72/7.02 (define @t47 () (forall @t46 @t45)) % 6.72/7.02 (define @t48 () (@var "X27" $$unsorted)) % 6.72/7.02 (define @t49 () (@var "X25" $$unsorted)) % 6.72/7.02 (define @t50 () (@var "X26" $$unsorted)) % 6.72/7.02 (define @t51 () (@var "X30" $$unsorted)) % 6.72/7.02 (define @t52 () (@var "X29" $$unsorted)) % 6.72/7.02 (define @t53 () (= @t52 @t51)) % 6.72/7.02 (define @t54 () (@var "X28" $$unsorted)) % 6.72/7.02 (define @t55 () (tptp.occurrence_of @t54 @t51)) % 6.72/7.02 (define @t56 () (tptp.occurrence_of @t54 @t52)) % 6.72/7.02 (define @t57 () (and @t56 @t55)) % 6.72/7.02 (define @t58 () (forall (@list @t54 @t52 @t51) (=> @t57 @t53))) % 6.72/7.02 (define @t59 () (@var "X33" $$unsorted)) % 6.72/7.02 (define @t60 () (@var "X34" $$unsorted)) % 6.72/7.02 (define @t61 () (@var "X32" $$unsorted)) % 6.72/7.02 (define @t62 () (@var "X31" $$unsorted)) % 6.72/7.02 (define @t63 () (@var "X37" $$unsorted)) % 6.72/7.02 (define @t64 () (@var "X36" $$unsorted)) % 6.72/7.02 (define @t65 () (@var "X38" $$unsorted)) % 6.72/7.02 (define @t66 () (tptp.min_precedes @t65 @t64 @t63)) % 6.72/7.02 (define @t67 () (@list @t65)) % 6.72/7.02 (define @t68 () (exists @t67 @t66)) % 6.72/7.02 (define @t69 () (not @t68)) % 6.72/7.02 (define @t70 () (@var "X35" $$unsorted)) % 6.72/7.02 (define @t71 () (tptp.root_occ @t64 @t70)) % 6.72/7.02 (define @t72 () (tptp.occurrence_of @t70 @t63)) % 6.72/7.02 (define @t73 () (and @t72 @t71)) % 6.72/7.02 (define @t74 () (=> @t73 @t69)) % 6.72/7.02 (define @t75 () (@list @t70 @t64 @t63)) % 6.72/7.02 (define @t76 () (forall @t75 @t74)) % 6.72/7.02 (define @t77 () (@var "X40" $$unsorted)) % 6.72/7.02 (define @t78 () (@var "X39" $$unsorted)) % 6.72/7.02 (define @t79 () (@var "X42" $$unsorted)) % 6.72/7.02 (define @t80 () (@var "X41" $$unsorted)) % 6.72/7.02 (define @t81 () (@var "X43" $$unsorted)) % 6.72/7.02 (define @t82 () (tptp.arboreal @t81)) % 6.72/7.02 (define @t83 () (tptp.legal @t81)) % 6.72/7.02 (define @t84 () (@list @t81)) % 6.72/7.02 (define @t85 () (forall @t84 (=> @t83 @t82))) % 6.72/7.02 (define @t86 () (@var "X46" $$unsorted)) % 6.72/7.02 (define @t87 () (@var "X44" $$unsorted)) % 6.72/7.02 (define @t88 () (@var "X45" $$unsorted)) % 6.72/7.02 (define @t89 () (@var "X48" $$unsorted)) % 6.72/7.02 (define @t90 () (@var "X50" $$unsorted)) % 6.72/7.02 (define @t91 () (@var "X47" $$unsorted)) % 6.72/7.02 (define @t92 () (@var "X49" $$unsorted)) % 6.72/7.02 (define @t93 () (@var "X52" $$unsorted)) % 6.72/7.02 (define @t94 () (@var "X51" $$unsorted)) % 6.72/7.02 (define @t95 () (= (tptp.arboreal @t94) (tptp.atomic @t93))) % 6.72/7.02 (define @t96 () (tptp.occurrence_of @t94 @t93)) % 6.72/7.02 (define @t97 () (@list @t94 @t93)) % 6.72/7.02 (define @t98 () (forall @t97 (=> @t96 @t95))) % 6.72/7.02 (define @t99 () (@var "X53" $$unsorted)) % 6.72/7.02 (define @t100 () (@var "X54" $$unsorted)) % 6.72/7.02 (define @t101 () (@var "X57" $$unsorted)) % 6.72/7.02 (define @t102 () (@var "X55" $$unsorted)) % 6.72/7.02 (define @t103 () (@var "X56" $$unsorted)) % 6.72/7.02 (define @t104 () (@var "X60" $$unsorted)) % 6.72/7.02 (define @t105 () (@var "X58" $$unsorted)) % 6.72/7.02 (define @t106 () (tptp.root @t105 @t104)) % 6.72/7.02 (define @t107 () (@var "X59" $$unsorted)) % 6.72/7.02 (define @t108 () (tptp.subactivity_occurrence @t105 @t107)) % 6.72/7.02 (define @t109 () (tptp.occurrence_of @t107 @t104)) % 6.72/7.02 (define @t110 () (and @t109 @t108 @t106)) % 6.72/7.02 (define @t111 () (@list @t104)) % 6.72/7.02 (define @t112 () (exists @t111 @t110)) % 6.72/7.02 (define @t113 () (tptp.root_occ @t105 @t107)) % 6.72/7.02 (define @t114 () (= @t113 @t112)) % 6.72/7.02 (define @t115 () (@list @t105 @t107)) % 6.72/7.02 (define @t116 () (forall @t115 @t114)) % 6.72/7.02 (define @t117 () (@var "X61" $$unsorted)) % 6.72/7.02 (define @t118 () (@var "X62" $$unsorted)) % 6.72/7.02 (define @t119 () (not (tptp.earlier @t118 @t117))) % 6.72/7.02 (define @t120 () (tptp.earlier @t117 @t118)) % 6.72/7.02 (define @t121 () (forall (@list @t117 @t118) (=> @t120 @t119))) % 6.72/7.02 (define @t122 () (@var "X64" $$unsorted)) % 6.72/7.02 (define @t123 () (@var "X63" $$unsorted)) % 6.72/7.02 (define @t124 () (@var "X67" $$unsorted)) % 6.72/7.02 (define @t125 () (@var "X66" $$unsorted)) % 6.72/7.02 (define @t126 () (@var "X65" $$unsorted)) % 6.72/7.02 (define @t127 () (@var "X70" $$unsorted)) % 6.72/7.02 (define @t128 () (@var "X69" $$unsorted)) % 6.72/7.02 (define @t129 () (@var "X71" $$unsorted)) % 6.72/7.02 (define @t130 () (@var "X68" $$unsorted)) % 6.72/7.02 (define @t131 () (@var "X73" $$unsorted)) % 6.72/7.02 (define @t132 () (@var "X72" $$unsorted)) % 6.72/7.02 (define @t133 () (tptp.precedes @t132 @t131)) % 6.72/7.02 (define @t134 () (@var "X74" $$unsorted)) % 6.72/7.02 (define @t135 () (tptp.min_precedes @t132 @t131 @t134)) % 6.72/7.02 (define @t136 () (forall (@list @t132 @t131 @t134) (=> @t135 @t133))) % 6.72/7.02 (define @t137 () (@var "X76" $$unsorted)) % 6.72/7.02 (define @t138 () (@var "X75" $$unsorted)) % 6.72/7.02 (define @t139 () (@var "X77" $$unsorted)) % 6.72/7.02 (define @t140 () (@var "X80" $$unsorted)) % 6.72/7.02 (define @t141 () (@var "X79" $$unsorted)) % 6.72/7.02 (define @t142 () (@var "X81" $$unsorted)) % 6.72/7.02 (define @t143 () (@var "X78" $$unsorted)) % 6.72/7.02 (define @t144 () (@var "X85" $$unsorted)) % 6.72/7.02 (define @t145 () (@var "X82" $$unsorted)) % 6.72/7.02 (define @t146 () (tptp.subactivity_occurrence @t145 @t144)) % 6.72/7.02 (define @t147 () (@var "X83" $$unsorted)) % 6.72/7.02 (define @t148 () (tptp.subactivity_occurrence @t147 @t144)) % 6.72/7.02 (define @t149 () (@var "X84" $$unsorted)) % 6.72/7.02 (define @t150 () (tptp.occurrence_of @t144 @t149)) % 6.72/7.02 (define @t151 () (tptp.min_precedes @t145 @t147 @t149)) % 6.72/7.02 (define @t152 () (and @t151 @t150 @t148)) % 6.72/7.02 (define @t153 () (forall (@list @t145 @t147 @t149 @t144) (=> @t152 @t146))) % 6.72/7.02 (define @t154 () (@var "X87" $$unsorted)) % 6.72/7.02 (define @t155 () (@var "X86" $$unsorted)) % 6.72/7.02 (define @t156 () (@var "X88" $$unsorted)) % 6.72/7.02 (define @t157 () (@var "X89" $$unsorted)) % 6.72/7.02 (define @t158 () (@var "X91" $$unsorted)) % 6.72/7.02 (define @t159 () (@var "X90" $$unsorted)) % 6.72/7.02 (define @t160 () (= @t159 @t158)) % 6.72/7.02 (define @t161 () (@var "X92" $$unsorted)) % 6.72/7.02 (define @t162 () (tptp.root_occ @t158 @t161)) % 6.72/7.02 (define @t163 () (tptp.root_occ @t159 @t161)) % 6.72/7.02 (define @t164 () (@var "X93" $$unsorted)) % 6.72/7.02 (define @t165 () (tptp.occurrence_of @t161 @t164)) % 6.72/7.02 (define @t166 () (and @t165 @t163 @t162)) % 6.72/7.02 (define @t167 () (forall (@list @t159 @t158 @t161 @t164) (=> @t166 @t160))) % 6.72/7.02 (define @t168 () (@var "X96" $$unsorted)) % 6.72/7.02 (define @t169 () (@var "X94" $$unsorted)) % 6.72/7.02 (define @t170 () (@var "X95" $$unsorted)) % 6.72/7.02 (define @t171 () (@var "X100" $$unsorted)) % 6.72/7.02 (define @t172 () (@var "X99" $$unsorted)) % 6.72/7.02 (define @t173 () (@var "X98" $$unsorted)) % 6.72/7.02 (define @t174 () (@var "X97" $$unsorted)) % 6.72/7.02 (define @t175 () (@var "X104" $$unsorted)) % 6.72/7.02 (define @t176 () (@var "X105" $$unsorted)) % 6.72/7.02 (define @t177 () (@var "X103" $$unsorted)) % 6.72/7.02 (define @t178 () (or (= @t176 @t177) (= @t176 @t175))) % 6.72/7.02 (define @t179 () (@var "X102" $$unsorted)) % 6.72/7.02 (define @t180 () (tptp.min_precedes @t179 @t176 tptp.tptp0)) % 6.72/7.02 (define @t181 () (=> @t180 @t178)) % 6.72/7.02 (define @t182 () (@list @t176)) % 6.72/7.02 (define @t183 () (forall @t182 @t181)) % 6.72/7.02 (define @t184 () (tptp.min_precedes @t177 @t175 tptp.tptp0)) % 6.72/7.02 (define @t185 () (tptp.occurrence_of @t175 tptp.tptp1)) % 6.72/7.02 (define @t186 () (tptp.occurrence_of @t175 tptp.tptp2)) % 6.72/7.02 (define @t187 () (or @t186 @t185)) % 6.72/7.02 (define @t188 () (tptp.min_precedes @t179 @t177 tptp.tptp0)) % 6.72/7.02 (define @t189 () (tptp.occurrence_of @t177 tptp.tptp4)) % 6.72/7.02 (define @t190 () (@var "X101" $$unsorted)) % 6.72/7.02 (define @t191 () (tptp.root_occ @t179 @t190)) % 6.72/7.02 (define @t192 () (tptp.occurrence_of @t179 tptp.tptp3)) % 6.72/7.02 (define @t193 () (and @t192 @t191 @t189 @t188 @t187 @t184 @t183)) % 6.72/7.02 (define @t194 () (@list @t179 @t177 @t175)) % 6.72/7.02 (define @t195 () (exists @t194 @t193)) % 6.72/7.02 (define @t196 () (tptp.occurrence_of @t190 tptp.tptp0)) % 6.72/7.02 (define @t197 () (=> @t196 @t195)) % 6.72/7.02 (define @t198 () (@list @t190)) % 6.72/7.02 (define @t199 () (forall @t198 @t197)) % 6.72/7.02 (define @t200 () (tptp.atomic tptp.tptp3)) % 6.72/7.02 (define @t201 () (@var "X108" $$unsorted)) % 6.72/7.02 (define @t202 () (@var "X107" $$unsorted)) % 6.72/7.02 (define @t203 () (tptp.min_precedes @t202 @t201 tptp.tptp0)) % 6.72/7.02 (define @t204 () (tptp.occurrence_of @t201 tptp.tptp1)) % 6.72/7.02 (define @t205 () (tptp.occurrence_of @t201 tptp.tptp2)) % 6.72/7.02 (define @t206 () (or @t205 @t204)) % 6.72/7.02 (define @t207 () (@var "X106" $$unsorted)) % 6.72/7.02 (define @t208 () (tptp.root_occ @t202 @t207)) % 6.72/7.02 (define @t209 () (tptp.occurrence_of @t202 tptp.tptp3)) % 6.72/7.02 (define @t210 () (and @t209 @t208 @t206 @t203)) % 6.72/7.02 (define @t211 () (@list @t202 @t201)) % 6.72/7.02 (define @t212 () (exists @t211 @t210)) % 6.72/7.02 (define @t213 () (tptp.occurrence_of @t207 tptp.tptp0)) % 6.72/7.02 (define @t214 () (=> @t213 @t212)) % 6.72/7.02 (define @t215 () (@list @t207)) % 6.72/7.02 (define @t216 () (forall @t215 @t214)) % 6.72/7.02 (define @t217 () (not @t216)) % 6.72/7.02 (define @t218 () (= @t175 @t176)) % 6.72/7.02 (define @t219 () (= @t177 @t176)) % 6.72/7.02 (define @t220 () (not @t180)) % 6.72/7.02 (define @t221 () (or @t220 @t219 @t218)) % 6.72/7.02 (define @t222 () (forall @t182 @t221)) % 6.72/7.02 (define @t223 () (not @t222)) % 6.72/7.02 (define @t224 () (not @t184)) % 6.72/7.02 (define @t225 () (and (not @t186) (not @t185))) % 6.72/7.02 (define @t226 () (not @t188)) % 6.72/7.02 (define @t227 () (not @t189)) % 6.72/7.02 (define @t228 () (not @t203)) % 6.72/7.02 (define @t229 () (and (not @t205) (not @t204))) % 6.72/7.02 (define @t230 () (not @t208)) % 6.72/7.02 (define @t231 () (not @t209)) % 6.72/7.02 (define @t232 () (not (forall @t211 (or @t231 @t230 @t229 @t228)))) % 6.72/7.02 (define @t233 () (@quantifiers_skolemize (forall @t215 (or (not @t213) @t232)) 0)) % 6.72/7.02 (define @t234 () (not @t192)) % 6.72/7.02 (define @t235 () (forall @t194 (or @t234 (not (tptp.root_occ @t179 @t233)) @t227 @t226 @t225 @t224 @t223))) % 6.72/7.02 (define @t236 () (@quantifiers_skolemize @t235 2)) % 6.72/7.02 (define @t237 () (@quantifiers_skolemize @t235 1)) % 6.72/7.02 (define @t238 () (not @t191)) % 6.72/7.02 (define @t239 () (not (forall @t194 (or @t234 @t238 @t227 @t226 @t225 @t224 @t223)))) % 6.72/7.02 (define @t240 () (not @t187)) % 6.72/7.02 (define @t241 () (or @t234 @t238 @t227 @t226 @t240 @t224 @t223)) % 6.72/7.02 (define @t242 () (and @t192 @t191 @t189 @t188 @t187 @t184 @t222)) % 6.72/7.02 (define @t243 () (forall @t194 (not @t242))) % 6.72/7.02 (define @t244 () (not @t243)) % 6.72/7.02 (define @t245 () (or @t219 @t218)) % 6.72/7.02 (define @t246 () (not @t206)) % 6.72/7.02 (define @t247 () (or @t231 @t230 @t246 @t228)) % 6.72/7.02 (define @t248 () (forall @t211 (not @t210))) % 6.72/7.02 (define @t249 () (not @t248)) % 6.72/7.02 (define @t250 () (tptp.occurrence_of @t233 tptp.tptp0)) % 6.72/7.02 (define @t251 () (forall @t211 (or @t231 (not (tptp.root_occ @t202 @t233)) @t229 @t228))) % 6.72/7.02 (define @t252 () (not @t251)) % 6.72/7.02 (define @t253 () (not @t250)) % 6.72/7.02 (define @t254 () (or @t253 @t252)) % 6.72/7.02 (define @t255 () (@list true)) % 6.72/7.02 (define @t256 () (@list @t254)) % 6.72/7.02 (define @t257 () (not @t235)) % 6.72/7.02 (define @t258 () (or @t253 @t257)) % 6.72/7.02 (define @t259 () (@list false false)) % 6.72/7.02 (define @t260 () (@quantifiers_skolemize @t235 0)) % 6.72/7.02 (define @t261 () (not (tptp.min_precedes @t260 @t176 tptp.tptp0))) % 6.72/7.02 (define @t262 () (tptp.min_precedes @t237 @t236 tptp.tptp0)) % 6.72/7.02 (define @t263 () (not @t262)) % 6.72/7.02 (define @t264 () (and (not (tptp.occurrence_of @t236 tptp.tptp2)) (not (tptp.occurrence_of @t236 tptp.tptp1)))) % 6.72/7.02 (define @t265 () (tptp.min_precedes @t260 @t237 tptp.tptp0)) % 6.72/7.02 (define @t266 () (not @t265)) % 6.72/7.02 (define @t267 () (not (tptp.occurrence_of @t237 tptp.tptp4))) % 6.72/7.02 (define @t268 () (tptp.root_occ @t260 @t233)) % 6.72/7.02 (define @t269 () (not @t268)) % 6.72/7.02 (define @t270 () (tptp.occurrence_of @t260 tptp.tptp3)) % 6.72/7.02 (define @t271 () (not @t270)) % 6.72/7.02 (define @t272 () (or @t271 @t269 @t267 @t266 @t264 @t263 (not (forall @t182 (or @t261 (= @t176 @t237) (= @t176 @t236)))))) % 6.72/7.02 (define @t273 () (not @t272)) % 6.72/7.02 (define @t274 () (or @t261 (= @t237 @t176) (= @t236 @t176))) % 6.72/7.02 (define @t275 () (forall @t182 @t274)) % 6.72/7.02 (define @t276 () (not @t275)) % 6.72/7.02 (define @t277 () (or @t271 @t269 @t267 @t266 @t264 @t263 @t276)) % 6.72/7.02 (define @t278 () (not @t277)) % 6.72/7.02 (define @t279 () (@list @t272)) % 6.72/7.02 (define @t280 () (tptp.precedes @t237 @t236)) % 6.72/7.02 (define @t281 () (or @t263 @t280)) % 6.72/7.02 (define @t282 () (tptp.legal @t236)) % 6.72/7.02 (define @t283 () (tptp.earlier @t237 @t236)) % 6.72/7.02 (define @t284 () (and @t283 @t282)) % 6.72/7.02 (define @t285 () (= @t280 @t284)) % 6.72/7.02 (define @t286 () (not @t284)) % 6.72/7.02 (define @t287 () (@list false)) % 6.72/7.02 (define @t288 () (@list @t284)) % 6.72/7.02 (define @t289 () (not @t23)) % 6.72/7.02 (define @t290 () (not @t24)) % 6.72/7.02 (define @t291 () (not @t25)) % 6.72/7.02 (define @t292 () (not @t26)) % 6.72/7.02 (define @t293 () (not @t27)) % 6.72/7.02 (define @t294 () (or @t293 @t292 @t291 @t290 @t289 @t20 @t19 @t17)) % 6.72/7.02 (define @t295 () (or @t293 @t292 @t291 @t290 @t289)) % 6.72/7.02 (define @t296 () (tptp.min_precedes @t260 @t236 tptp.tptp0)) % 6.72/7.02 (define @t297 () (tptp.min_precedes @t236 @t260 tptp.tptp0)) % 6.72/7.02 (define @t298 () (not (tptp.subactivity_occurrence @t237 @t34))) % 6.72/7.02 (define @t299 () (not (tptp.occurrence_of @t34 tptp.tptp0))) % 6.72/7.02 (define @t300 () (forall @t42 (or @t299 @t298 (not (tptp.subactivity_occurrence @t236 @t34))))) % 6.72/7.02 (define @t301 () (@quantifiers_skolemize @t300 0)) % 6.72/7.02 (define @t302 () (tptp.subactivity_occurrence @t260 @t301)) % 6.72/7.02 (define @t303 () (not @t302)) % 6.72/7.02 (define @t304 () (tptp.subactivity_occurrence @t236 @t301)) % 6.72/7.02 (define @t305 () (not @t304)) % 6.72/7.02 (define @t306 () (tptp.arboreal @t260)) % 6.72/7.02 (define @t307 () (not @t306)) % 6.72/7.02 (define @t308 () (tptp.arboreal @t236)) % 6.72/7.02 (define @t309 () (not @t308)) % 6.72/7.02 (define @t310 () (tptp.occurrence_of @t301 tptp.tptp0)) % 6.72/7.02 (define @t311 () (not @t310)) % 6.72/7.02 (define @t312 () (or @t311 @t309 @t307 @t305 @t303 @t297 @t296 (= @t236 @t260))) % 6.72/7.02 (define @t313 () (forall @t29 @t294)) % 6.72/7.02 (define @t314 () (= @t260 @t236)) % 6.72/7.02 (define @t315 () (or @t311 @t309 @t307 @t305 @t303 @t297 @t296 @t314)) % 6.72/7.02 (define @t316 () (not @t148)) % 6.72/7.02 (define @t317 () (not @t150)) % 6.72/7.02 (define @t318 () (not @t151)) % 6.72/7.02 (define @t319 () (or @t318 @t317 @t316)) % 6.72/7.02 (define @t320 () (not @t36)) % 6.72/7.02 (define @t321 () (not @t38)) % 6.72/7.02 (define @t322 () (not @t40)) % 6.72/7.02 (define @t323 () (or @t322 @t321 @t320)) % 6.72/7.02 (define @t324 () (not (forall @t42 @t323))) % 6.72/7.02 (define @t325 () (forall @t42 (not @t41))) % 6.72/7.02 (define @t326 () (not @t325)) % 6.72/7.02 (define @t327 () (not @t300)) % 6.72/7.02 (define @t328 () (or @t263 @t327)) % 6.72/7.02 (define @t329 () (tptp.subactivity_occurrence @t237 @t301)) % 6.72/7.02 (define @t330 () (not @t329)) % 6.72/7.02 (define @t331 () (or @t311 @t330 @t305)) % 6.72/7.02 (define @t332 () (@list @t331)) % 6.72/7.02 (define @t333 () (or @t266 @t311 @t330 @t302)) % 6.72/7.02 (define @t334 () (@list false false false false)) % 6.72/7.02 (define @t335 () (@list @t260 @t237)) % 6.72/7.02 (define @t336 () (tptp.precedes @t260 @t237)) % 6.72/7.02 (define @t337 () (or @t266 @t336)) % 6.72/7.02 (define @t338 () (tptp.earlier @t260 @t237)) % 6.72/7.02 (define @t339 () (and @t338 (tptp.legal @t237))) % 6.72/7.02 (define @t340 () (= @t336 @t339)) % 6.72/7.02 (define @t341 () (tptp.earlier @t237 @t260)) % 6.72/7.02 (define @t342 () (not @t341)) % 6.72/7.02 (define @t343 () (not @t338)) % 6.72/7.02 (define @t344 () (or @t343 @t342)) % 6.72/7.02 (define @t345 () (not @t283)) % 6.72/7.02 (define @t346 () (not @t314)) % 6.72/7.02 (define @t347 () (and @t342 @t314 @t283)) % 6.72/7.02 (define @t348 () (@list false true)) % 6.72/7.02 (define @t349 () (not @t162)) % 6.72/7.02 (define @t350 () (not @t163)) % 6.72/7.02 (define @t351 () (not @t165)) % 6.72/7.02 (define @t352 () (or @t351 @t350 @t349)) % 6.72/7.02 (define @t353 () (forall @t42 (or @t299 (not (tptp.subactivity_occurrence @t260 @t34)) @t298))) % 6.72/7.02 (define @t354 () (@quantifiers_skolemize @t353 0)) % 6.72/7.02 (define @t355 () (forall @t194 (or @t234 (not (tptp.root_occ @t179 @t354)) @t227 @t226 @t225 @t224 @t223))) % 6.72/7.02 (define @t356 () (@quantifiers_skolemize @t355 0)) % 6.72/7.02 (define @t357 () (not @t353)) % 6.72/7.02 (define @t358 () (or @t266 @t357)) % 6.72/7.02 (define @t359 () (tptp.occurrence_of @t354 tptp.tptp0)) % 6.72/7.02 (define @t360 () (tptp.subactivity_occurrence @t260 @t354)) % 6.72/7.02 (define @t361 () (not @t360)) % 6.72/7.02 (define @t362 () (not @t359)) % 6.72/7.02 (define @t363 () (or @t362 @t361 (not (tptp.subactivity_occurrence @t237 @t354)))) % 6.72/7.02 (define @t364 () (@list @t363)) % 6.72/7.02 (define @t365 () (not @t355)) % 6.72/7.02 (define @t366 () (or @t362 @t365)) % 6.72/7.02 (define @t367 () (@quantifiers_skolemize @t355 2)) % 6.72/7.02 (define @t368 () (@quantifiers_skolemize @t355 1)) % 6.72/7.02 (define @t369 () (not (tptp.min_precedes @t356 @t176 tptp.tptp0))) % 6.72/7.02 (define @t370 () (not (tptp.min_precedes @t368 @t367 tptp.tptp0))) % 6.72/7.02 (define @t371 () (and (not (tptp.occurrence_of @t367 tptp.tptp2)) (not (tptp.occurrence_of @t367 tptp.tptp1)))) % 6.72/7.02 (define @t372 () (not (tptp.min_precedes @t356 @t368 tptp.tptp0))) % 6.72/7.02 (define @t373 () (not (tptp.occurrence_of @t368 tptp.tptp4))) % 6.72/7.02 (define @t374 () (tptp.root_occ @t356 @t354)) % 6.72/7.02 (define @t375 () (not @t374)) % 6.72/7.02 (define @t376 () (tptp.occurrence_of @t356 tptp.tptp3)) % 6.72/7.02 (define @t377 () (not @t376)) % 6.72/7.02 (define @t378 () (or @t377 @t375 @t373 @t372 @t371 @t370 (not (forall @t182 (or @t369 (= @t176 @t368) (= @t176 @t367)))))) % 6.72/7.02 (define @t379 () (not @t378)) % 6.72/7.02 (define @t380 () (or @t369 (= @t368 @t176) (= @t367 @t176))) % 6.72/7.02 (define @t381 () (forall @t182 @t380)) % 6.72/7.02 (define @t382 () (not @t381)) % 6.72/7.02 (define @t383 () (or @t377 @t375 @t373 @t372 @t371 @t370 @t382)) % 6.72/7.02 (define @t384 () (not @t383)) % 6.72/7.02 (define @t385 () (@list @t378)) % 6.72/7.02 (define @t386 () (not @t106)) % 6.72/7.02 (define @t387 () (not @t109)) % 6.72/7.02 (define @t388 () (or @t387 @t386)) % 6.72/7.02 (define @t389 () (forall @t111 @t388)) % 6.72/7.02 (define @t390 () (not @t389)) % 6.72/7.02 (define @t391 () (not @t108)) % 6.72/7.02 (define @t392 () (or @t391 @t389)) % 6.72/7.02 (define @t393 () (= @t113 (not @t392))) % 6.72/7.02 (define @t394 () (or @t391 @t388)) % 6.72/7.02 (define @t395 () (or @t387 @t391 @t386)) % 6.72/7.02 (define @t396 () (forall @t111 (not @t110))) % 6.72/7.02 (define @t397 () (not @t396)) % 6.72/7.02 (define @t398 () (not @t55)) % 6.72/7.02 (define @t399 () (not @t56)) % 6.72/7.02 (define @t400 () (not (tptp.root @t260 @t104))) % 6.72/7.02 (define @t401 () (forall @t111 (or (not (tptp.occurrence_of @t233 @t104)) @t400))) % 6.72/7.02 (define @t402 () (@quantifiers_skolemize @t401 0)) % 6.72/7.02 (define @t403 () (not @t401)) % 6.72/7.02 (define @t404 () (and (tptp.subactivity_occurrence @t260 @t233) @t403)) % 6.72/7.02 (define @t405 () (= @t268 @t404)) % 6.72/7.02 (define @t406 () (tptp.occurrence_of @t233 @t402)) % 6.72/7.02 (define @t407 () (tptp.root @t260 @t402)) % 6.72/7.02 (define @t408 () (not @t407)) % 6.72/7.02 (define @t409 () (not @t406)) % 6.72/7.02 (define @t410 () (or @t409 @t408)) % 6.72/7.02 (define @t411 () (@list @t410)) % 6.72/7.02 (define @t412 () (= tptp.tptp0 @t402)) % 6.72/7.02 (define @t413 () (or @t253 @t409 @t412)) % 6.72/7.02 (define @t414 () (@list false false false)) % 6.72/7.02 (define @t415 () (tptp.occurrence_of @t354 @t402)) % 6.72/7.02 (define @t416 () (not @t415)) % 6.72/7.02 (define @t417 () (or @t416 @t408)) % 6.72/7.02 (define @t418 () (not @t417)) % 6.72/7.02 (define @t419 () (forall @t111 (or (not (tptp.occurrence_of @t354 @t104)) @t400))) % 6.72/7.02 (define @t420 () (not @t419)) % 6.72/7.02 (define @t421 () (and @t360 @t420)) % 6.72/7.02 (define @t422 () (tptp.root_occ @t260 @t354)) % 6.72/7.02 (define @t423 () (= @t422 @t421)) % 6.72/7.02 (define @t424 () (= @t260 @t356)) % 6.72/7.02 (define @t425 () (not @t422)) % 6.72/7.02 (define @t426 () (or @t362 @t425 @t375 @t424)) % 6.72/7.02 (define @t427 () (tptp.root_occ @t356 @t233)) % 6.72/7.02 (define @t428 () (and @t268 @t424)) % 6.72/7.02 (define @t429 () (not @t424)) % 6.72/7.02 (define @t430 () (tptp.min_precedes @t356 @t236 tptp.tptp0)) % 6.72/7.02 (define @t431 () (not @t430)) % 6.72/7.02 (define @t432 () (not @t427)) % 6.72/7.02 (define @t433 () (or @t377 @t432 @t264 @t431)) % 6.72/7.02 (define @t434 () (not @t296)) % 6.72/7.02 (define @t435 () (and @t431 @t424)) % 6.72/7.02 (define @t436 () (@list true false)) % 6.72/7.02 (define @t437 () (@var "BOUND_VARIABLE_8015" $$unsorted)) % 6.72/7.02 (define @t438 () (not (tptp.min_precedes @t437 @t64 @t63))) % 6.72/7.02 (define @t439 () (not @t71)) % 6.72/7.02 (define @t440 () (not @t72)) % 6.72/7.02 (define @t441 () (or @t440 @t439 @t438)) % 6.72/7.02 (define @t442 () (@list @t437)) % 6.72/7.02 (define @t443 () (forall @t442 @t441)) % 6.72/7.02 (define @t444 () (forall @t442 @t438)) % 6.72/7.02 (define @t445 () (or @t440 @t439 @t444)) % 6.72/7.02 (define @t446 () (forall @t67 (not @t66))) % 6.72/7.02 (define @t447 () (or @t440 @t439 @t446)) % 6.72/7.02 (define @t448 () (not @t297)) % 6.72/7.02 (define @t449 () (or @t253 @t269 @t448)) % 6.72/7.02 (define @t450 () (or @t271 (= @t306 @t200))) % 6.72/7.02 (define @t451 () (forall @t97 (or (not @t96) @t95))) % 6.72/7.02 (define @t452 () (= @t200 @t306)) % 6.72/7.02 (define @t453 () (or @t271 @t452)) % 6.72/7.02 (define @t454 () (not @t282)) % 6.72/7.02 (define @t455 () (or @t454 @t308)) % 6.72/7.02 (define @t456 () (not @t455)) % 6.72/7.02 (define @t457 () (forall @t84 (or (not @t83) @t82))) % 6.72/7.02 (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)))))) % 6.72/7.02 (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)))) % 6.72/7.02 (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)))) % 6.72/7.02 (assume @p4 (forall (@list @t14 @t13) (=> (tptp.occurrence_of @t13 @t14) (and (tptp.activity @t14) (tptp.activity_occurrence @t13))))) % 6.72/7.02 (assume @p5 @t30) % 6.72/7.02 (assume @p6 (forall (@list @t33 @t32) (=> (tptp.root @t32 @t33) (exists (@list @t31) (and (tptp.subactivity @t31 @t33) (tptp.atocc @t32 @t31)))))) % 6.72/7.02 (assume @p7 @t47) % 6.72/7.02 (assume @p8 (forall (@list @t49 @t50) (=> (and (tptp.leaf @t49 @t50) (not (tptp.atomic @t50))) (exists (@list @t48) (and (tptp.occurrence_of @t48 @t50) (tptp.leaf_occ @t49 @t48)))))) % 6.72/7.02 (assume @p9 @t58) % 6.72/7.02 (assume @p10 (forall (@list @t62 @t61 @t59) (=> (and (tptp.occurrence_of @t62 @t59) (tptp.leaf_occ @t61 @t62)) (not (exists (@list @t60) (tptp.min_precedes @t61 @t60 @t59)))))) % 6.72/7.02 (assume @p11 @t76) % 6.72/7.02 (assume @p12 (forall (@list @t78 @t77) (=> (tptp.subactivity_occurrence @t78 @t77) (and (tptp.activity_occurrence @t78) (tptp.activity_occurrence @t77))))) % 6.72/7.02 (assume @p13 (forall (@list @t80) (=> (tptp.activity_occurrence @t80) (exists (@list @t79) (and (tptp.activity @t79) (tptp.occurrence_of @t80 @t79)))))) % 6.72/7.02 (assume @p14 @t85) % 6.72/7.02 (assume @p15 (forall (@list @t87 @t88) (= (tptp.atocc @t87 @t88) (exists (@list @t86) (and (tptp.subactivity @t88 @t86) (tptp.atomic @t86) (tptp.occurrence_of @t87 @t86)))))) % 6.72/7.02 (assume @p16 (forall (@list @t91 @t89) (= (tptp.leaf @t91 @t89) (and (or (tptp.root @t91 @t89) (exists (@list @t92) (tptp.min_precedes @t92 @t91 @t89))) (not (exists (@list @t90) (tptp.min_precedes @t91 @t90 @t89))))))) % 6.72/7.02 (assume @p17 @t98) % 6.72/7.02 (assume @p18 (forall (@list @t99 @t100) (=> (tptp.root @t99 @t100) (tptp.legal @t99)))) % 6.72/7.02 (assume @p19 (forall (@list @t102 @t103) (= (tptp.leaf_occ @t102 @t103) (exists (@list @t101) (and (tptp.occurrence_of @t103 @t101) (tptp.subactivity_occurrence @t102 @t103) (tptp.leaf @t102 @t101)))))) % 6.72/7.02 (assume @p20 @t116) % 6.72/7.02 (assume @p21 @t121) % 6.72/7.02 (assume @p22 (forall (@list @t123 @t122) (= (tptp.precedes @t123 @t122) (and (tptp.earlier @t123 @t122) (tptp.legal @t122))))) % 6.72/7.02 (assume @p23 (forall (@list @t126 @t125 @t124) (=> (tptp.min_precedes @t126 @t125 @t124) (not (tptp.root @t125 @t124))))) % 6.72/7.02 (assume @p24 (forall (@list @t130 @t128 @t127) (=> (tptp.min_precedes @t130 @t128 @t127) (exists (@list @t129) (and (tptp.root @t129 @t127) (tptp.min_precedes @t129 @t128 @t127)))))) % 6.72/7.02 (assume @p25 @t136) % 6.72/7.02 (assume @p26 (forall (@list @t138 @t137 @t139) (=> (tptp.next_subocc @t138 @t137 @t139) (and (tptp.arboreal @t138) (tptp.arboreal @t137))))) % 6.72/7.02 (assume @p27 (forall (@list @t143 @t141 @t140) (= (tptp.next_subocc @t143 @t141 @t140) (and (tptp.min_precedes @t143 @t141 @t140) (not (exists (@list @t142) (and (tptp.min_precedes @t143 @t142 @t140) (tptp.min_precedes @t142 @t141 @t140)))))))) % 6.72/7.02 (assume @p28 @t153) % 6.72/7.02 (assume @p29 (forall (@list @t155 @t154 @t156 @t157) (=> (and (tptp.occurrence_of @t156 @t157) (not (tptp.atomic @t157)) (tptp.leaf_occ @t155 @t156) (tptp.leaf_occ @t154 @t156)) (= @t155 @t154)))) % 6.72/7.02 (assume @p30 @t167) % 6.72/7.02 (assume @p31 (forall (@list @t169 @t170 @t168) (=> (and (tptp.earlier @t169 @t170) (tptp.earlier @t170 @t168)) (tptp.earlier @t169 @t168)))) % 6.72/7.02 (assume @p32 (forall (@list @t174 @t173 @t172 @t171) (=> (and (tptp.min_precedes @t174 @t173 @t171) (tptp.min_precedes @t174 @t172 @t171) (tptp.precedes @t173 @t172)) (tptp.min_precedes @t173 @t172 @t171)))) % 6.72/7.02 (assume @p33 @t199) % 6.72/7.02 (assume @p34 (tptp.activity tptp.tptp0)) % 6.72/7.02 (assume @p35 (not (tptp.atomic tptp.tptp0))) % 6.72/7.02 (assume @p36 (tptp.atomic tptp.tptp4)) % 6.72/7.02 (assume @p37 (tptp.atomic tptp.tptp2)) % 6.72/7.02 (assume @p38 (tptp.atomic tptp.tptp1)) % 6.72/7.02 (assume @p39 @t200) % 6.72/7.02 (assume @p40 (not (= tptp.tptp4 tptp.tptp3))) % 6.72/7.02 (assume @p41 (not (= tptp.tptp4 tptp.tptp2))) % 6.72/7.02 (assume @p42 (not (= tptp.tptp4 tptp.tptp1))) % 6.72/7.02 (assume @p43 (not (= tptp.tptp3 tptp.tptp2))) % 6.72/7.02 (assume @p44 (not (= tptp.tptp3 tptp.tptp1))) % 6.72/7.02 (assume @p45 (not (= tptp.tptp2 tptp.tptp1))) % 6.72/7.02 (assume @p46 @t217) % 6.72/7.02 (assume @p47 true) % 6.72/7.02 (step @p48 :rule bool-impl-elim :args (@t83 @t82)) % 6.72/7.02 (step @p49 :rule cong :premises (@p48) :args (@t85)) % 6.72/7.02 (step @p50 :rule eq_resolve :premises (@p14 @p49)) % 6.72/7.02 (step @p51 :rule instantiate :premises (@p22) :args ((@list @t237 @t236))) % 6.72/7.02 (step @p52 :rule bool-impl-elim :args (@t135 @t133)) % 6.72/7.02 (step @p53 :rule cong :premises (@p52) :args (@t136)) % 6.72/7.02 (step @p54 :rule eq_resolve :premises (@p25 @p53)) % 6.72/7.02 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t237 @t236 tptp.tptp0))) % 6.72/7.02 (step @p56 :rule bool-impl-elim :args (@t196 @t239)) % 6.72/7.02 (step @p57 :rule cong :premises (@p56) :args ((forall @t198 (=> @t196 @t239)))) % 6.72/7.02 (step @p58 :rule refl :args (@t223)) % 6.72/7.02 (step @p59 :rule refl :args (@t224)) % 6.72/7.02 (step @p60 :rule bool-or-de-morgan :args (@t186 @t185 false)) % 6.72/7.02 (step @p61 :rule refl :args (@t226)) % 6.72/7.02 (step @p62 :rule refl :args (@t227)) % 6.72/7.02 (step @p63 :rule refl :args (@t238)) % 6.72/7.02 (step @p64 :rule refl :args (@t234)) % 6.72/7.02 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61 @p60 @p59 @p58) :args (@t241)) % 6.72/7.02 (step @p66 :rule aci_norm :args ((= (or @t234 (or @t238 (or @t227 (or @t226 (or @t240 (or @t224 @t223)))))) @t241))) % 6.72/7.02 (step @p67 :rule bool-and-de-morgan :args (@t184 @t222 true)) % 6.72/7.02 (step @p68 :rule refl :args (@t240)) % 6.72/7.02 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t240 (not (and @t184 @t222))))) % 6.72/7.02 (step @p70 :rule bool-and-de-morgan :args (@t187 @t184 (and @t222))) % 6.72/7.02 (step @p71 :rule trans :premises (@p70 @p69)) % 6.72/7.02 (step @p72 :rule nary_cong :premises (@p61 @p71) :args ((or @t226 (not (and @t187 @t184 @t222))))) % 6.72/7.02 (step @p73 :rule bool-and-de-morgan :args (@t188 @t187 (and @t184 @t222))) % 6.72/7.02 (step @p74 :rule trans :premises (@p73 @p72)) % 6.72/7.02 (step @p75 :rule nary_cong :premises (@p62 @p74) :args ((or @t227 (not (and @t188 @t187 @t184 @t222))))) % 6.72/7.02 (step @p76 :rule bool-and-de-morgan :args (@t189 @t188 (and @t187 @t184 @t222))) % 6.72/7.02 (step @p77 :rule trans :premises (@p76 @p75)) % 6.72/7.02 (step @p78 :rule nary_cong :premises (@p63 @p77) :args ((or @t238 (not (and @t189 @t188 @t187 @t184 @t222))))) % 6.72/7.02 (step @p79 :rule bool-and-de-morgan :args (@t191 @t189 (and @t188 @t187 @t184 @t222))) % 6.72/7.02 (step @p80 :rule trans :premises (@p79 @p78)) % 6.72/7.02 (step @p81 :rule nary_cong :premises (@p64 @p80) :args ((or @t234 (not (and @t191 @t189 @t188 @t187 @t184 @t222))))) % 6.72/7.02 (step @p82 :rule bool-and-de-morgan :args (@t192 @t191 (and @t189 @t188 @t187 @t184 @t222))) % 6.72/7.02 (step @p83 :rule trans :premises (@p82 @p81)) % 6.72/7.02 (step @p84 :rule trans :premises (@p83 @p66)) % 6.72/7.02 (step @p85 :rule trans :premises (@p84 @p65)) % 6.72/7.02 (step @p86 :rule cong :premises (@p85) :args (@t243)) % 6.72/7.02 (step @p87 :rule cong :premises (@p86) :args (@t244)) % 6.72/7.02 (step @p88 :rule exists-elim :args ((= (exists @t194 @t242) @t244))) % 6.72/7.02 (step @p89 :rule trans :premises (@p88 @p87)) % 6.72/7.02 (step @p90 :rule aci_norm :args ((= (or @t220 @t245) @t221))) % 6.72/7.02 (step @p91 :rule bool-impl-elim :args (@t180 @t245)) % 6.72/7.02 (step @p92 :rule trans :premises (@p91 @p90)) % 6.72/7.02 (step @p93 :rule cong :premises (@p92) :args ((forall @t182 (=> @t180 @t245)))) % 6.72/7.02 (step @p94 :rule eq-symm :args (@t176 @t175)) % 6.72/7.02 (step @p95 :rule eq-symm :args (@t176 @t177)) % 6.72/7.02 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t178)) % 6.72/7.02 (step @p97 :rule refl :args (@t180)) % 6.72/7.02 (step @p98 :rule cong :premises (@p97 @p96) :args (@t181)) % 6.72/7.02 (step @p99 :rule cong :premises (@p98) :args (@t183)) % 6.72/7.02 (step @p100 :rule trans :premises (@p99 @p93)) % 6.72/7.02 (step @p101 :rule refl :args (@t184)) % 6.72/7.02 (step @p102 :rule refl :args (@t187)) % 6.72/7.02 (step @p103 :rule refl :args (@t188)) % 6.72/7.02 (step @p104 :rule refl :args (@t189)) % 6.72/7.02 (step @p105 :rule refl :args (@t191)) % 6.72/7.02 (step @p106 :rule refl :args (@t192)) % 6.72/7.02 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104 @p103 @p102 @p101 @p100) :args (@t193)) % 6.72/7.02 (step @p108 :rule cong :premises (@p107) :args (@t195)) % 6.72/7.02 (step @p109 :rule trans :premises (@p108 @p89)) % 6.72/7.02 (step @p110 :rule refl :args (@t196)) % 6.72/7.02 (step @p111 :rule cong :premises (@p110 @p109) :args (@t197)) % 6.72/7.02 (step @p112 :rule cong :premises (@p111) :args (@t199)) % 6.72/7.02 (step @p113 :rule trans :premises (@p112 @p57)) % 6.72/7.02 (step @p114 :rule eq_resolve :premises (@p33 @p113)) % 6.72/7.02 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t233))) % 6.72/7.02 (step @p116 :rule bool-impl-elim :args (@t213 @t232)) % 6.72/7.02 (step @p117 :rule cong :premises (@p116) :args ((forall @t215 (=> @t213 @t232)))) % 6.72/7.02 (step @p118 :rule refl :args (@t228)) % 6.72/7.02 (step @p119 :rule bool-or-de-morgan :args (@t205 @t204 false)) % 6.72/7.02 (step @p120 :rule refl :args (@t230)) % 6.72/7.02 (step @p121 :rule refl :args (@t231)) % 6.72/7.02 (step @p122 :rule nary_cong :premises (@p121 @p120 @p119 @p118) :args (@t247)) % 6.72/7.02 (step @p123 :rule aci_norm :args ((= (or @t231 (or @t230 (or @t246 @t228))) @t247))) % 6.72/7.02 (step @p124 :rule bool-and-de-morgan :args (@t206 @t203 true)) % 6.72/7.02 (step @p125 :rule nary_cong :premises (@p120 @p124) :args ((or @t230 (not (and @t206 @t203))))) % 6.72/7.02 (step @p126 :rule bool-and-de-morgan :args (@t208 @t206 (and @t203))) % 6.72/7.02 (step @p127 :rule trans :premises (@p126 @p125)) % 6.72/7.02 (step @p128 :rule nary_cong :premises (@p121 @p127) :args ((or @t231 (not (and @t208 @t206 @t203))))) % 6.72/7.02 (step @p129 :rule bool-and-de-morgan :args (@t209 @t208 (and @t206 @t203))) % 6.72/7.02 (step @p130 :rule trans :premises (@p129 @p128)) % 6.72/7.02 (step @p131 :rule trans :premises (@p130 @p123)) % 6.72/7.02 (step @p132 :rule trans :premises (@p131 @p122)) % 6.72/7.02 (step @p133 :rule cong :premises (@p132) :args (@t248)) % 6.72/7.02 (step @p134 :rule cong :premises (@p133) :args (@t249)) % 6.72/7.02 (step @p135 :rule exists-elim :args ((= @t212 @t249))) % 6.72/7.02 (step @p136 :rule trans :premises (@p135 @p134)) % 6.72/7.02 (step @p137 :rule refl :args (@t213)) % 6.72/7.02 (step @p138 :rule cong :premises (@p137 @p136) :args (@t214)) % 6.72/7.02 (step @p139 :rule cong :premises (@p138) :args (@t216)) % 6.72/7.02 (step @p140 :rule trans :premises (@p139 @p117)) % 6.72/7.02 (step @p141 :rule cong :premises (@p140) :args (@t217)) % 6.72/7.02 (step @p142 :rule eq_resolve :premises (@p46 @p141)) % 6.72/7.02 (step @p143 :rule skolemize :premises (@p142)) % 6.72/7.02 (step @p144 :rule bool-double-not-elim :args (@t250)) % 6.72/7.02 (step @p145 :rule refl :args (@t254)) % 6.72/7.02 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t254 (not @t253)))) % 6.72/7.02 (step @p147 :rule cnf_or_neg :args (@t254 0)) % 6.72/7.02 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 6.72/7.02 (step @p149 :rule reordering :premises (@p148) :args ((or @t250 @t254))) % 6.72/7.02 (step @p150 :rule chain_m_resolution :premises (@p149 @p143) :args (@t250 @t255 @t256)) % 6.72/7.02 (step @p151 :rule cnf_or_pos :args (@t258)) % 6.72/7.02 (step @p152 :rule reordering :premises (@p151) :args ((or @t253 @t257 (not @t258)))) % 6.72/7.02 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p115) :args (@t257 @t259 (@list @t250 @t258))) % 6.72/7.02 (step @p154 :rule refl :args (@t273)) % 6.72/7.02 (step @p155 :rule bool-double-not-elim :args (@t235)) % 6.72/7.02 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t257) @t273))) % 6.72/7.02 (step @p157 :rule eq-symm :args (@t236 @t176)) % 6.72/7.02 (step @p158 :rule eq-symm :args (@t237 @t176)) % 6.72/7.02 (step @p159 :rule refl :args (@t261)) % 6.72/7.02 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args (@t274)) % 6.72/7.02 (step @p161 :rule cong :premises (@p160) :args (@t275)) % 6.72/7.02 (step @p162 :rule cong :premises (@p161) :args (@t276)) % 6.72/7.02 (step @p163 :rule refl :args (@t263)) % 6.72/7.02 (step @p164 :rule refl :args (@t264)) % 6.72/7.02 (step @p165 :rule refl :args (@t266)) % 6.72/7.02 (step @p166 :rule refl :args (@t267)) % 6.72/7.02 (step @p167 :rule refl :args (@t269)) % 6.72/7.02 (step @p168 :rule refl :args (@t271)) % 6.72/7.02 (step @p169 :rule nary_cong :premises (@p168 @p167 @p166 @p165 @p164 @p163 @p162) :args (@t277)) % 6.72/7.02 (step @p170 :rule cong :premises (@p169) :args (@t278)) % 6.72/7.02 (step @p171 :rule refl :args (@t257)) % 6.72/7.02 (step @p172 :rule cong :premises (@p171 @p170) :args ((=> @t257 @t278))) % 6.72/7.02 (assume-push @p669 @t257) % 6.72/7.02 (step @p174 :rule skolemize :premises (@p153)) % 6.72/7.02 (step-pop @p670 :rule scope :premises (@p174)) % 6.72/7.02 (step @p175 :rule process_scope :premises (@p670) :args (@t278)) % 6.72/7.02 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 6.72/7.02 (step @p178 :rule implies_elim :premises (@p177)) % 6.72/7.02 (step @p179 :rule eq_resolve :premises (@p178 @p156)) % 6.72/7.02 (step @p180 :rule chain_m_resolution :premises (@p179 @p153) :args (@t273 @t255 (@list @t235))) % 6.72/7.02 (step @p181 :rule bool-double-not-elim :args (@t262)) % 6.72/7.02 (step @p182 :rule refl :args (@t272)) % 6.72/7.02 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t272 (not @t263)))) % 6.72/7.02 (step @p184 :rule cnf_or_neg :args (@t272 5)) % 6.72/7.02 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 6.72/7.02 (step @p186 :rule reordering :premises (@p185) :args ((or @t262 @t272))) % 6.72/7.02 (step @p187 :rule chain_m_resolution :premises (@p186 @p180) :args (@t262 @t255 @t279)) % 6.72/7.02 (step @p188 :rule cnf_or_pos :args (@t281)) % 6.72/7.02 (step @p189 :rule reordering :premises (@p188) :args ((or @t263 @t280 (not @t281)))) % 6.72/7.02 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p55) :args (@t280 @t259 (@list @t262 @t281))) % 6.72/7.02 (step @p191 :rule cnf_equiv_pos1 :args (@t285)) % 6.72/7.02 (step @p192 :rule reordering :premises (@p191) :args ((or (not @t280) @t284 (not @t285)))) % 6.72/7.02 (step @p193 :rule chain_m_resolution :premises (@p192 @p190 @p51) :args (@t284 @t259 (@list @t280 @t285))) % 6.72/7.02 (step @p194 :rule cnf_and_pos :args (@t284 1)) % 6.72/7.02 (step @p195 :rule reordering :premises (@p194) :args ((or @t282 @t286))) % 6.72/7.02 (step @p196 :rule chain_m_resolution :premises (@p195 @p193) :args (@t282 @t287 @t288)) % 6.72/7.02 (step @p197 :rule aci_norm :args ((= (or @t295 @t21) @t294))) % 6.72/7.02 (step @p198 :rule refl :args (@t21)) % 6.72/7.02 (step @p199 :rule aci_norm :args ((= (or @t293 (or @t292 (or @t291 (or @t290 @t289)))) @t295))) % 6.72/7.02 (step @p200 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 6.72/7.02 (step @p201 :rule refl :args (@t291)) % 6.72/7.02 (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or @t291 (not (and @t24 @t23))))) % 6.72/7.02 (step @p203 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23))) % 6.72/7.02 (step @p204 :rule trans :premises (@p203 @p202)) % 6.72/7.02 (step @p205 :rule refl :args (@t292)) % 6.72/7.02 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or @t292 (not (and @t25 @t24 @t23))))) % 6.72/7.02 (step @p207 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24 @t23))) % 6.72/7.02 (step @p208 :rule trans :premises (@p207 @p206)) % 6.72/7.02 (step @p209 :rule refl :args (@t293)) % 6.72/7.02 (step @p210 :rule nary_cong :premises (@p209 @p208) :args ((or @t293 (not (and @t26 @t25 @t24 @t23))))) % 6.72/7.02 (step @p211 :rule bool-and-de-morgan :args (@t27 @t26 (and @t25 @t24 @t23))) % 6.72/7.02 (step @p212 :rule trans :premises (@p211 @p210)) % 6.72/7.02 (step @p213 :rule trans :premises (@p212 @p199)) % 6.72/7.02 (step @p214 :rule nary_cong :premises (@p213 @p198) :args ((or (not @t28) @t21))) % 6.72/7.02 (step @p215 :rule trans :premises (@p214 @p197)) % 6.72/7.02 (step @p216 :rule bool-impl-elim :args (@t28 @t21)) % 6.72/7.02 (step @p217 :rule trans :premises (@p216 @p215)) % 6.72/7.02 (step @p218 :rule cong :premises (@p217) :args (@t30)) % 6.72/7.02 (step @p219 :rule eq_resolve :premises (@p5 @p218)) % 6.72/7.02 (step @p220 :rule eq-symm :args (@t236 @t260)) % 6.72/7.02 (step @p221 :rule refl :args (@t296)) % 6.72/7.02 (step @p222 :rule refl :args (@t297)) % 6.72/7.02 (step @p223 :rule refl :args (@t303)) % 6.72/7.02 (step @p224 :rule refl :args (@t305)) % 6.72/7.02 (step @p225 :rule refl :args (@t307)) % 6.72/7.02 (step @p226 :rule refl :args (@t309)) % 6.72/7.02 (step @p227 :rule refl :args (@t311)) % 6.72/7.02 (step @p228 :rule nary_cong :premises (@p227 @p226 @p225 @p224 @p223 @p222 @p221 @p220) :args (@t312)) % 6.72/7.02 (step @p229 :rule refl :args (@t313)) % 6.72/7.02 (step @p230 :rule cong :premises (@p229 @p228) :args ((=> @t313 @t312))) % 6.72/7.02 (assume-push @p671 @t313) % 6.72/7.02 (step @p232 :rule instantiate :premises (@p219) :args ((@list 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6.72/7.03 (step @p478 :rule eq_resolve :premises (@p477 @p476)) % 6.72/7.03 (step @p479 :rule reordering :premises (@p478) :args ((or @t406 @t410))) % 6.72/7.03 (step @p480 :rule chain_m_resolution :premises (@p479 @p473) :args (@t406 @t255 @t411)) % 6.72/7.03 (step @p481 :rule cnf_or_pos :args (@t413)) % 6.72/7.03 (step @p482 :rule reordering :premises (@p481) :args ((or @t253 @t409 @t412 (not @t413)))) % 6.72/7.03 (step @p483 :rule chain_m_resolution :premises (@p482 @p150 @p480 @p459) :args (@t412 @t414 (@list @t250 @t406 @t413))) % 6.72/7.03 (step @p484 :rule symm :premises (@p483)) % 6.72/7.03 (step @p485 :rule refl :args (@t354)) % 6.72/7.03 (step @p486 :rule cong :premises (@p485 @p484) :args (@t415)) % 6.72/7.03 (step @p487 :rule trans :premises (@p486 @p449)) % 6.72/7.03 (step @p488 :rule true_elim :premises (@p487)) % 6.72/7.03 (step @p489 :rule bool-double-not-elim :args (@t407)) % 6.72/7.03 (step @p490 :rule nary_cong :premises (@p475 @p489) :args ((or @t410 (not @t408)))) % 6.72/7.03 (step @p491 :rule cnf_or_neg :args (@t410 1)) % 6.72/7.03 (step @p492 :rule eq_resolve :premises (@p491 @p490)) % 6.72/7.03 (step @p493 :rule reordering :premises (@p492) :args ((or @t407 @t410))) % 6.72/7.03 (step @p494 :rule chain_m_resolution :premises (@p493 @p473) :args (@t407 @t255 @t411)) % 6.72/7.03 (step @p495 :rule cnf_or_pos :args (@t417)) % 6.72/7.03 (step @p496 :rule reordering :premises (@p495) :args ((or @t408 @t416 @t418))) % 6.72/7.03 (step @p497 :rule chain_m_resolution :premises (@p496 @p494 @p488) :args (@t418 @t259 (@list @t407 @t415))) % 6.72/7.03 (assume-push @p687 @t419) % 6.72/7.03 (step @p499 :rule instantiate :premises (@p687) :args ((@list @t402))) % 6.72/7.03 (step-pop @p688 :rule scope :premises (@p499)) % 6.72/7.03 (step @p500 :rule process_scope :premises (@p688) :args (@t417)) % 6.72/7.03 (step @p502 :rule implies_elim :premises (@p500)) % 6.72/7.03 (step @p503 :rule chain_m_resolution :premises (@p502 @p497) :args (@t420 @t255 (@list @t417))) % 6.72/7.03 (step @p504 :rule bool-double-not-elim :args (@t360)) % 6.72/7.03 (step @p505 :rule nary_cong :premises (@p376 @p504) :args ((or @t363 (not @t361)))) % 6.72/7.03 (step @p506 :rule cnf_or_neg :args (@t363 1)) % 6.72/7.03 (step @p507 :rule eq_resolve :premises (@p506 @p505)) % 6.72/7.03 (step @p508 :rule reordering :premises (@p507) :args ((or @t360 @t363))) % 6.72/7.03 (step @p509 :rule chain_m_resolution :premises (@p508 @p374) :args (@t360 @t255 @t364)) % 6.72/7.03 (step @p510 :rule bool-double-not-elim :args (@t419)) % 6.72/7.03 (step @p511 :rule refl :args (@t361)) % 6.72/7.03 (step @p512 :rule refl :args (@t421)) % 6.72/7.03 (step @p513 :rule nary_cong :premises (@p512 @p511 @p510) :args ((or @t421 @t361 (not @t420)))) % 6.72/7.03 (step @p514 :rule cnf_and_neg :args (@t421)) % 6.72/7.03 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 6.72/7.03 (step @p516 :rule reordering :premises (@p515) :args ((or @t361 @t419 @t421))) % 6.72/7.03 (step @p517 :rule chain_m_resolution :premises (@p516 @p509 @p503) :args (@t421 @t348 (@list @t360 @t419))) % 6.72/7.03 (step @p518 :rule cnf_equiv_pos2 :args (@t423)) % 6.72/7.03 (step @p519 :rule reordering :premises (@p518) :args ((or @t422 (not @t421) (not @t423)))) % 6.72/7.03 (step @p520 :rule chain_m_resolution :premises (@p519 @p517 @p448) :args (@t422 @t259 (@list @t421 @t423))) % 6.72/7.03 (step @p521 :rule cnf_or_pos :args (@t426)) % 6.72/7.03 (step @p522 :rule reordering :premises (@p521) :args ((or @t362 @t425 @t375 @t424 (not @t426)))) % 6.72/7.03 (step @p523 :rule chain_m_resolution :premises (@p522 @p381 @p520 @p418 @p368) :args (@t424 @t334 (@list @t359 @t422 @t374 @t426))) % 6.72/7.03 (step @p524 :rule bool-double-not-elim :args (@t251)) % 6.72/7.03 (step @p525 :rule nary_cong :premises (@p145 @p524) :args ((or @t254 (not @t252)))) % 6.72/7.03 (step @p526 :rule cnf_or_neg :args (@t254 1)) % 6.72/7.03 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 6.72/7.03 (step @p528 :rule reordering :premises (@p527) :args ((or @t251 @t254))) % 6.72/7.03 (step @p529 :rule chain_m_resolution :premises (@p528 @p143) :args (@t251 @t255 @t256)) % 6.72/7.03 (step @p530 :rule instantiate :premises (@p529) :args ((@list @t356 @t236))) % 6.72/7.03 (assume-push @p689 @t268) % 6.72/7.03 (assume-push @p690 @t424) % 6.72/7.03 (assume-push @p691 @t424) % 6.72/7.03 (assume-push @p692 @t268) % 6.72/7.03 (step @p535 :rule true_intro :premises (@p466)) % 6.72/7.03 (step @p536 :rule refl :args (@t233)) % 6.72/7.03 (step @p537 :rule symm :premises (@p690)) % 6.72/7.03 (step @p538 :rule cong :premises (@p537 @p536) :args (@t427)) % 6.72/7.03 (step @p539 :rule trans :premises (@p538 @p535)) % 6.72/7.03 (step @p540 :rule true_elim :premises (@p539)) % 6.72/7.03 (step-pop @p693 :rule scope :premises (@p540)) % 6.72/7.03 (step-pop @p694 :rule scope :premises (@p693)) % 6.72/7.03 (step @p541 :rule process_scope :premises (@p694) :args (@t427)) % 6.72/7.03 (step @p544 :rule and_intro :premises (@p690 @p466)) % 6.72/7.03 (step @p545 :rule modus_ponens :premises (@p544 @p541)) % 6.72/7.03 (step-pop @p695 :rule scope :premises (@p545)) % 6.72/7.03 (step-pop @p696 :rule scope :premises (@p695)) % 6.72/7.03 (step @p546 :rule process_scope :premises (@p696) :args (@t427)) % 6.72/7.03 (step @p549 :rule implies_elim :premises (@p546)) % 6.72/7.03 (step @p550 :rule cnf_and_neg :args (@t428)) % 6.72/7.03 (step @p551 :rule resolution :premises (@p550 @p549) :args (true @t428)) % 6.72/7.03 (step @p552 :rule reordering :premises (@p551) :args ((or @t269 @t427 @t429))) % 6.72/7.03 (step @p553 :rule chain_m_resolution :premises (@p552 @p466 @p523) :args (@t427 @t259 (@list @t268 @t424))) % 6.72/7.03 (step @p554 :rule bool-double-not-elim :args (@t376)) % 6.72/7.03 (step @p555 :rule nary_cong :premises (@p413 @p554) :args ((or @t378 (not @t377)))) % 6.72/7.03 (step @p556 :rule cnf_or_neg :args (@t378 0)) % 6.72/7.03 (step @p557 :rule eq_resolve :premises (@p556 @p555)) % 6.72/7.03 (step @p558 :rule reordering :premises (@p557) :args ((or @t376 @t378))) % 6.72/7.03 (step @p559 :rule chain_m_resolution :premises (@p558 @p411) :args (@t376 @t255 @t385)) % 6.72/7.03 (step @p560 :rule cnf_or_neg :args (@t272 4)) % 6.72/7.03 (step @p561 :rule chain_m_resolution :premises (@p560 @p180) :args ((not @t264) @t255 @t279)) % 6.72/7.03 (step @p562 :rule cnf_or_pos :args (@t433)) % 6.72/7.03 (step @p563 :rule reordering :premises (@p562) :args ((or @t264 @t377 @t432 @t431 (not @t433)))) % 6.72/7.03 (step @p564 :rule chain_m_resolution :premises (@p563 @p561 @p559 @p553 @p530) :args (@t431 (@list true false false false) (@list @t264 @t376 @t427 @t433))) % 6.72/7.03 (step @p565 :rule refl :args (@t434)) % 6.72/7.03 (step @p566 :rule refl :args (@t429)) % 6.72/7.03 (step @p567 :rule bool-double-not-elim :args (@t430)) % 6.72/7.03 (step @p568 :rule nary_cong :premises (@p567 @p566 @p565) :args ((or (not @t431) @t429 @t434))) % 6.72/7.03 (assume-push @p697 @t431) % 6.72/7.03 (assume-push @p698 @t424) % 6.72/7.03 (assume-push @p699 @t424) % 6.72/7.03 (assume-push @p700 @t431) % 6.72/7.03 (step @p573 :rule false_intro :premises (@p697)) % 6.72/7.03 (step @p574 :rule refl :args (tptp.tptp0)) % 6.72/7.03 (step @p575 :rule refl :args (@t236)) % 6.72/7.03 (step @p576 :rule cong :premises (@p698 @p575 @p574) :args (@t296)) % 6.72/7.03 (step @p577 :rule trans :premises (@p576 @p573)) % 6.72/7.03 (step @p578 :rule false_elim :premises (@p577)) % 6.72/7.03 (step-pop @p701 :rule scope :premises (@p578)) % 6.72/7.03 (step-pop @p702 :rule scope :premises (@p701)) % 6.72/7.03 (step @p579 :rule process_scope :premises (@p702) :args (@t434)) % 6.72/7.03 (step @p582 :rule and_intro :premises (@p698 @p697)) % 6.72/7.03 (step @p583 :rule modus_ponens :premises (@p582 @p579)) % 6.72/7.03 (step-pop @p703 :rule scope :premises (@p583)) % 6.72/7.03 (step-pop @p704 :rule scope :premises (@p703)) % 6.72/7.03 (step @p584 :rule process_scope :premises (@p704) :args (@t434)) % 6.72/7.03 (step @p587 :rule implies_elim :premises (@p584)) % 6.72/7.03 (step @p588 :rule cnf_and_neg :args (@t435)) % 6.72/7.03 (step @p589 :rule resolution :premises (@p588 @p587) :args (true @t435)) % 6.72/7.03 (step @p590 :rule eq_resolve :premises (@p589 @p568)) % 6.72/7.03 (step @p591 :rule reordering :premises (@p590) :args ((or @t434 @t430 @t429))) % 6.72/7.03 (step @p592 :rule chain_m_resolution :premises (@p591 @p564 @p523) :args (@t434 @t436 (@list @t430 @t424))) % 6.72/7.03 (step @p593 :rule quant-merge-prenex :args ((= (forall @t75 @t443) (forall (@list @t70 @t64 @t63 @t437) @t441)))) % 6.72/7.03 (step @p594 :rule alpha_equiv :args (@t444 (@list @t437) (@list @t65))) % 6.72/7.03 (step @p595 :rule refl :args (@t439)) % 6.72/7.03 (step @p596 :rule refl :args (@t440)) % 6.72/7.03 (step @p597 :rule nary_cong :premises (@p596 @p595 @p594) :args (@t445)) % 6.72/7.03 (step @p598 :rule quant-miniscope-or :args ((= @t443 @t445))) % 6.72/7.03 (step @p599 :rule trans :premises (@p598 @p597)) % 6.72/7.03 (step @p600 :rule symm :premises (@p599)) % 6.72/7.03 (step @p601 :rule cong :premises (@p600) :args ((forall @t75 @t447))) % 6.72/7.03 (step @p602 :rule trans :premises (@p601 @p593)) % 6.72/7.03 (step @p603 :rule aci_norm :args ((= (or (or @t440 @t439) @t446) @t447))) % 6.72/7.03 (step @p604 :rule refl :args (@t446)) % 6.72/7.03 (step @p605 :rule bool-and-de-morgan :args (@t72 @t71 true)) % 6.72/7.03 (step @p606 :rule nary_cong :premises (@p605 @p604) :args ((or (not @t73) @t446))) % 6.72/7.03 (step @p607 :rule trans :premises (@p606 @p603)) % 6.72/7.03 (step @p608 :rule bool-impl-elim :args (@t73 @t446)) % 6.72/7.03 (step @p609 :rule trans :premises (@p608 @p607)) % 6.72/7.03 (step @p610 :rule cong :premises (@p609) :args ((forall @t75 (=> @t73 @t446)))) % 6.72/7.03 (step @p611 :rule trans :premises (@p610 @p602)) % 6.72/7.03 (step @p612 :rule bool-double-not-elim :args (@t446)) % 6.72/7.03 (step @p613 :rule exists-elim :args ((= @t68 (not @t446)))) % 6.72/7.03 (step @p614 :rule cong :premises (@p613) :args (@t69)) % 6.72/7.03 (step @p615 :rule trans :premises (@p614 @p612)) % 6.72/7.03 (step @p616 :rule refl :args (@t73)) % 6.72/7.03 (step @p617 :rule cong :premises (@p616 @p615) :args (@t74)) % 6.72/7.03 (step @p618 :rule cong :premises (@p617) :args (@t76)) % 6.72/7.03 (step @p619 :rule trans :premises (@p618 @p611)) % 6.72/7.03 (step @p620 :rule eq_resolve :premises (@p11 @p619)) % 6.72/7.03 (step @p621 :rule instantiate :premises (@p620) :args ((@list @t233 @t260 tptp.tptp0 @t236))) % 6.72/7.03 (step @p622 :rule cnf_or_pos :args (@t449)) % 6.72/7.03 (step @p623 :rule reordering :premises (@p622) :args ((or @t253 @t269 @t448 (not @t449)))) % 6.72/7.03 (step @p624 :rule chain_m_resolution :premises (@p623 @p150 @p466 @p621) :args (@t448 @t414 (@list @t250 @t268 @t449))) % 6.72/7.03 (step @p625 :rule bool-double-not-elim :args (@t304)) % 6.72/7.03 (step @p626 :rule nary_cong :premises (@p278 @p625) :args ((or @t331 (not @t305)))) % 6.72/7.03 (step @p627 :rule cnf_or_neg :args (@t331 2)) % 6.72/7.03 (step @p628 :rule eq_resolve :premises (@p627 @p626)) % 6.72/7.03 (step @p629 :rule reordering :premises (@p628) :args ((or @t304 @t331))) % 6.72/7.03 (step @p630 :rule chain_m_resolution :premises (@p629 @p276) :args (@t304 @t255 @t332)) % 6.72/7.03 (step @p631 :rule bool-impl-elim :args (@t96 @t95)) % 6.72/7.03 (step @p632 :rule cong :premises (@p631) :args (@t98)) % 6.72/7.03 (step @p633 :rule eq_resolve :premises (@p17 @p632)) % 6.72/7.03 (step @p634 :rule eq-symm :args (@t306 @t200)) % 6.72/7.03 (step @p635 :rule nary_cong :premises (@p168 @p634) :args (@t450)) % 0.35/7.05 (step @p636 :rule refl :args (@t451)) % 0.35/7.05 (step @p637 :rule cong :premises (@p636 @p635) :args ((=> @t451 @t450))) % 0.35/7.05 (assume-push @p705 @t451) % 0.35/7.05 (step @p639 :rule instantiate :premises (@p633) :args ((@list @t260 tptp.tptp3))) % 0.35/7.05 (step-pop @p706 :rule scope :premises (@p639)) % 0.35/7.05 (step @p640 :rule process_scope :premises (@p706) :args (@t450)) % 0.35/7.05 (step @p642 :rule eq_resolve :premises (@p640 @p637)) % 0.35/7.05 (step @p643 :rule implies_elim :premises (@p642)) % 0.35/7.05 (step @p644 :rule chain_m_resolution :premises (@p643 @p633) :args (@t453 @t287 (@list @t451))) % 0.35/7.05 (step @p645 :rule bool-double-not-elim :args (@t270)) % 0.35/7.05 (step @p646 :rule nary_cong :premises (@p182 @p645) :args ((or @t272 (not @t271)))) % 0.35/7.05 (step @p647 :rule cnf_or_neg :args (@t272 0)) % 0.35/7.05 (step @p648 :rule eq_resolve :premises (@p647 @p646)) % 0.35/7.05 (step @p649 :rule reordering :premises (@p648) :args ((or @t270 @t272))) % 0.35/7.05 (step @p650 :rule chain_m_resolution :premises (@p649 @p180) :args (@t270 @t255 @t279)) % 0.35/7.05 (step @p651 :rule cnf_or_pos :args (@t453)) % 0.35/7.05 (step @p652 :rule reordering :premises (@p651) :args ((or @t271 @t452 (not @t453)))) % 0.35/7.05 (step @p653 :rule chain_m_resolution :premises (@p652 @p650 @p644) :args (@t452 @t259 (@list @t270 @t453))) % 0.35/7.05 (step @p654 :rule cnf_equiv_pos1 :args (@t452)) % 0.35/7.05 (step @p655 :rule reordering :premises (@p654) :args ((or (not @t200) @t306 (not @t452)))) % 0.35/7.05 (step @p656 :rule chain_m_resolution :premises (@p655 @p39 @p653) :args (@t306 @t259 (@list @t200 @t452))) % 0.35/7.05 (step @p657 :rule cnf_or_pos :args (@t315)) % 0.35/7.05 (step @p658 :rule reordering :premises (@p657) :args ((or @t307 @t309 @t311 @t305 @t297 @t296 @t314 @t303 (not @t315)))) % 0.35/7.05 (step @p659 :rule chain_m_resolution :premises (@p658 @p656 @p289 @p630 @p624 @p592 @p352 @p298 @p237) :args (@t309 (@list false false false true true true false false) (@list @t306 @t310 @t304 @t297 @t296 @t314 @t302 @t315))) % 0.35/7.05 (step @p660 :rule cnf_or_pos :args (@t455)) % 0.35/7.05 (step @p661 :rule reordering :premises (@p660) :args ((or @t308 @t454 @t456))) % 0.35/7.05 (step @p662 :rule chain_m_resolution :premises (@p661 @p659 @p196) :args (@t456 @t436 (@list @t308 @t282))) % 0.35/7.05 (assume-push @p707 @t457) % 0.35/7.05 (step @p664 :rule instantiate :premises (@p50) :args ((@list @t236))) % 0.35/7.05 (step-pop @p708 :rule scope :premises (@p664)) % 0.35/7.05 (step @p665 :rule process_scope :premises (@p708) :args (@t455)) % 0.35/7.05 (step @p667 :rule implies_elim :premises (@p665)) % 0.35/7.05 (step @p668 false :rule chain_m_resolution :premises (@p667 @p662 @p50) :args (false @t436 (@list @t455 @t457))) % 0.35/7.05 ) % 0.35/7.05 % SZS output end Proof % 0.35/7.05 % cvc5 exiting %------------------------------------------------------------------------------